Browse Linearity problems Studdy Solved!

Problem 1301

24. $-7 x \leq-21$ and $x-20 \leq$
Solve each compound inequality:
25. $5<x-6<11$
27. $-2 \leq 3 x-5 \leq 7$
29. $1 \leq \frac{2}{3} x+3 \leq 4$

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Problem 1302

Write the sentence as an equation. 300 plus the product of 298 and $d$ is the same as 255 more than a
Type a slash ( / ) if you want to use a division sign. $\square$ Submit

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Problem 1303

OL Cambridge - 0580
Q8 - March 2019 P42 q10 (a) Solve the simultaneous equations.
You must show all your working. Mathematics - P4 $\mathrm{CH}_{2}$ - Algebra $\begin{array}{l} 6 x+5 y=27 \\ 5 x-3 y=44 \end{array}$

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Problem 1304

Francesca brought her series set of The Adventures of Wesley Walter to a secondhand store to sell. She was paid cash for all 6 books in the set. Before she left, Francesca used $\$ 35.75$ of her earnings to purchase a used e-reader. She had $\$ 3.25$ remaining.
Which equation can you use to find the value of each book, $b$ , in the set?

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Problem 1305

hich describes the system of equations below? $\begin{array}{l} y=-4 x-7 \\ y=\frac{7}{5} x+\frac{5}{9} \end{array}$ consistent and dependent inconsistent consistent and independent Submit Not feeling read

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Problem 1306

Learn with an example $\checkmark$ or Watch a video (b)
There is a line that includes the point $(-6,-3)$ and has a slope of 4 . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $y-\frac{\square}{\frac{\square}{\square}}=\square(x-\square)$

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Problem 1307

Which describes the system of equations below? $\begin{array}{l} y=-7 x+5 \\ y=-7 x+5 \end{array}$ inconsistent consistent and independent consistent and dependent Submit

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Problem 1308

Which describes the system of equations below? $\begin{array}{l} y=\frac{-3}{4} x+\frac{3}{5} \\ y=\frac{-3}{4} x+\frac{3}{5} \end{array}$ consistent and independent inconsistent consistent and dependent

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Problem 1309

Graph the following features: - Y -intercept $=-6$ - Slope $=-\frac{1}{2}$ Answer Attempt 1 out of 20

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Problem 1310

Which describes the system of equations below? $\begin{array}{l} y=-8 x+10 \\ y=\frac{-9}{7} x+\frac{7}{9} \end{array}$ consistent and independent inconsistent consistent and dependent Submit

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Problem 1311

Which describes the system of equations b $\begin{array}{l} y=\frac{1}{4} x+1 \\ y=\frac{7}{6} x-\frac{4}{5} \end{array}$ consistent and independent inconsistent consistent and dependent

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Problem 1312

Solve the inequality for wi. $-8 x \geqslant \frac{10}{3}$
Simplify yout answer as much as pessitle.

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Problem 1313

8. \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 3 & 6 & 9 & 12 \\ \hline $y$ & -22 & -43 & -64 & -85 \\ \hline \end{tabular} point-slope form: $\qquad$ slope-intercept form: $\qquad$

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Problem 1314

A math teacher drove by a playground that was full of boys and dogs. The teacher happened to notice that there was a total of 40 heads and 100 feet. How many boys and how many dogs were there?

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Problem 1315

4. $5 x-7(x+1)>-9$

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Problem 1316

solutions or exactly one solution. $\begin{aligned} -4 x+5 y & =-1 \\ -12 x+15 y & =6 \end{aligned}$
Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

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Problem 1317

$7 x+9>-33$
Answer Attempt 1 out of 2 $<$ $\square$ $\square$ $\square$ or $\square$ Inequality Notation: $\square$ Number Line: Submit Answer

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Problem 1318

$2 x+9>17$ or $5 x+10<10$

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Problem 1319

$7 x-14 \geq 0$ or $4 x+5 \leq-3$

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Problem 1320

2. The Spanish club held a car wash to raise money. The equation $y=5 x$ represents the amount of money $y$ club members made for washing $x$ cars. Identify the constant of proportionality. Then explain what it represents in this situation. (Example ?)

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Problem 1321

10. $-2<2(x-6) \leq 4$

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Problem 1322

Interval Notation: $(6,2$ $9-2 x \leq-5$ or $\frac{1}{2} x+13<15$

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Problem 1323

MODELING REAL LIFE A bouquet of 2 roses and 6 carnations costs $\$ 17$ . A bouquet of 6 roses and 12 carnations costs $\$ 42$ . What is the cost of each type of flower?
Write a system of linear equations represented by the problem. Let $r$ represent the cost of a rose and $c$ represent the cost of a carnation. $\square$ $\square$ $\square$ $\square$ $\square$ $c=$ $\square$
Write the augmented matrix for the system of linear equations. $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $]$
Solve the system of linear equations using augmented matrices.
Roses cost \\square $each. Carnations costs\$$ \square$ each.

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Problem 1324

7. $-53<9 x+1<-26$

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Problem 1325

Write a linear equation to represent the relationship between $x$ and $y$ .

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Problem 1326

Goal
Robin wants to rent a hotel room for his vacation. Hotel $A$ charges $\$ 76$ at check-in, then adds $\$ 10$ per day to the price. Hotel $B$ charges $\$ 166$ at check-in, then adds $\$ 1$ per day to the price. How many days, denoted as $d$ , can Robin rent at Hotel $A$ so that the total cost of $A$ remains strictly less than the total cost of Hotel $B$ ? Express your answer as an inequality.

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Problem 1327

Loop 1 Name $\qquad$ Tuesday
1. What is the difference between the highest and lowest temperature shown on the thermometer? A. 28 degrees B. 23 degrees C. 17 degrees D. Cannot be determined
2. Solve the following equation for $x$ . $0.3 x-5=1$

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Problem 1328

Solve the inequality. Graph the solution. $9 x-4 x+4 \geq 36-12$
The solution is $\square$ $\square$ .

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Problem 1329

Solve the inequality. Graph the solution. $3 d-7 d+2.8<5.8-27$
The solution is $\square$ .
0 $\multimap$ 0 $\backsim$ $\hookleftarrow$ $\hookrightarrow$ $\hookleftarrow$ $a \rightarrow$

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Problem 1330

Listen
MODELING REAL LIFE A cave explorer is at an elevation of -38 feet. The explorer starts moving at a rate of -12 feet per minute. Identify an inequality that represents the numbers of minutes $x$ it will take the explorer to reach an elevation deeper than -200 feet. $12 x-38<-200$ $38-12 x<-200$ $-12 x-38>200$ $-12 x-38<-200$
Solve the inequality.
The solution is $\square$ 5.

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Problem 1331

bigidea smath com/MRL/public/app/\#/student/assessment, isPlayerWindow=true;assignmentld=6a36c4d5-b102-4351-9062-f06e100c338a \#14 Check Skills Review Save I Exit Listen
MODELING REAL LIFE A cave explorer is at an elevation of -38 feet. The explorer starts moving at a rate of -12 feet per minute. Identify an inequality that represents the numbers of minutes $x$ it will take the explorer to reach an elevation deeper than -200 feet. $12 x-38<-200$ $38-12 x<-200$ $-12 x-38>200$ $-12 x-38<-200$
Solve the inequality.
The solution is $\square$

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Problem 1332

Lesson Check Do you know HOW?
1. Is $(2,4)$ a solution of the equation $y=x-2$ ?
2. Is $(-3,-9)$ a solution of the equation $y=3 x$ ?
3. Drinks at the fair cost $\$ 2.50$ . Use a table, an equation, and a graph to represent the relationship between the number of drinks bought and the cost.
4. Exercise On a treadmill, you burn 11 Cal in 1 min , 22 Cal in $2 \mathrm{~min}, 33 \mathrm{Cal}$ in 3 min , and so on. How many Calories do you burn in 10 min ?
Do you UNDERSTAND? MATHEMATICAL PRACTICES
5. Vocabulary Describe the difference between inductive reasoning and deductive reasoning. (C) 6
6. Compare and Contrast How is writing an equation to represent a situation involving two variables similar to writing an equation to represent a situation involving only one variable? How are they different? (C) 7. Reasoning Which of $(3,5),(4,6),(5,7)$ , and $(6,8)$ are solutions of $y=x+2$ ? What is the pattern in the solutions of $y=x+2$ ?
Practice and Problem-Solving Exercises MATHEMATICAL PRACTICES (A) Practice
Tell whether the given equation has the ordered pair as a solution. ( See Problem
8. $y=x+6 ;(0,6)$
9. $y=1-x ;(2,1)$
10. $y=-x+3 ;(4,1)$
11. $y=6 x ;(3,16)$
12. $-x=y ;(-3.1,3.1)$
13. $y=-4 x ;(-2,8)$
14. $y=x+\frac{2}{3} ;\left(1, \frac{1}{3}\right)$
15. $y=x-\frac{3}{4} ;\left(2,1 \frac{1}{4}\right)$
16. $\frac{x}{5}=y ;(-10,-2)$

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Problem 1333

Practice and Problem-Solving Exercises MATHEMATICAL PRACTICES
Practice Tell whether the given equation has the ordered pair as a solution. See Problem 1.
8. $y=x+6 ;(0,6)$
9. $y=1-x ;(2,1)$
10. $y=-x+3 ;(4,1)$
11. $y=6 x ;(3,16)$
12. $-x=y ;(-3.1,3.1)$
13. $y=-4 x ;(-2,8)$
14. $y=x+\frac{2}{3} ;\left(1, \frac{1}{3}\right)$
15. $y=x-\frac{3}{4} ;\left(2,1 \frac{1}{4}\right)$
16. $\frac{x}{5}=y ;(-10,-2)$
Use a table, an equation, and a graph to represent each relationship.
17. Ty is 3 years younger than Bea.
18. The number of checkers is 24 times the number of checkerboards. (s) See Problem 2.
19. The number of triangles is $\frac{1}{3}$ the number of sides.
20. Gavin makes $\$ 8.50$ for each lawn he mows.
Use the table to draw a graph and answer the question. - See Problem 3.
21. The table shows the height in inches of stacks
22. The table shows the length in centimeters of of tires. Extend the pattern. What is the a scarf you are knitting. Suppose the pattern height of a stack of 7 tires?
Stacks of Tires \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number \\ of Tires, $x$ \end{tabular} & \begin{tabular}{c} Height of \\ Stack, $y$ \end{tabular} \\ \hline 1 & 8 \\ \hline 2 & 16 \\ \hline 3 & 24 \\ \hline 4 & 32 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number \\ of Days, $x$ \end{tabular} & \begin{tabular}{c} Length of \\ Scarf, $y$ \end{tabular} \\ \hline 1 & 12.5 \\ \hline 2 & 14.5 \\ \hline 3 & 16.5 \\ \hline 4 & 18.5 \\ \hline \end{tabular}

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Problem 1334

Fill in the boxes to add the expressions. $\begin{aligned} (5 x+8.75)+(3.36 x+2.32) & =(5 x+\ldots)+(8.75+\ldots) \\ & = \end{aligned}$ $\begin{aligned} (5 x+8.75)+(3.36 x+2.32) & =(5 x+\square)+(8.75+\square) \\ & =\square \end{aligned}$ (Simplify your answer. Use integers or decimals for any numbers in the expression.)

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Problem 1335

13. A large community college has professors and lecturers. The total number of faculty members is 228 . The school reported that they have 5 professors for every 14 lecturers. How many of each type of faculty member does the community college employ?

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Problem 1336

4 Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Which equation can be used to determine the number of DVDs in Daniel's collection?
A $3 x-x=67$ (B) $x+x=67$ (C) $3 x+x=67$ (D) $3 x=67$

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Problem 1337

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. $\begin{aligned} 2 x+y & =7 \\ -2 x+2 y & =-5 \end{aligned}$
Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

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Problem 1338

1. Which expression is equivalent to $-3(2 x-8)+4 x$ ?

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Problem 1339

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. $\begin{aligned} 3 x+2 y & =4 \\ -6 x-4 y & =-8 \end{aligned}$
Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

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Problem 1340

Fill in the boxes to add the expressions. $\begin{aligned} \left(\frac{8}{17} z-15\right)+\left(\frac{3}{17} z+16\right) & =\left({ }^{+}+\right)+(-15+\ldots) \\ & =\ldots{ }^{+}+ \end{aligned}$ $\begin{aligned} \left(\frac{8}{17} z-15\right)+\left(\frac{3}{17} z+16\right) & =\left(\square+\frac{3}{17} z\right)+(-15+\square) \\ & =\square z+\square \end{aligned}$ (Simplify your answers. Use integers or fractions for any numbers in the expressions.)

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Problem 1341

c) Cette semaine, Maude s'est entraînée 4 fois plus longtemps que son frère. Si son frère s'est entraîné pendant $(x-10)$ heures, pendant combien de temps Maude s'est-elle entraînée? $\qquad$

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Problem 1342

Solve for $q$ . $8 q-8=72$ $q=$

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Problem 1343

Solve for $m$ . $\begin{array}{l} 8 m+6=54 \\ m= \end{array}$

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Problem 1344

3. Model Latisha eats 12 grapes with lunch and then eats some more with dinner. She eats 26 grapes in all. How many grapes does she eat with dinner? Equalion: grapes

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Problem 1345

Score: 1/5 Penalty: 0.5 off
Question (0) Watch Video Show Exam
Find the value of $x$ in the equation below. $x+15.4=17.7$
Answer Attempt 1 out of 2 $x=\square$ Submit Answer
You have up to 9 questions left to raise your score.

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Problem 1346

One Step Equations with (Positive) Decimals Unique ID: 0270 Score: 2/5 Penalty: 0.5 off
Question Watch Video
Find the value of $x$ in the equation below. $15.9=x-1.1$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

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Problem 1347

Score: $3 / 5$ Penalty: 0.5 off
Question Watch Video Show
Find the value of $x$ in the equation below. $\frac{x}{3}=8$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

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Problem 1348

Write the equation of the line in slope-intercept form. $\begin{array}{l} y=-\frac{4}{5} x+4 \\ y=-x+4 \\ y=4 x+4 \end{array}$ $y=\frac{4}{5} x+4$

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Problem 1349

Question Watch Video
Solve for n . $3+n=-10$
Answer Attempt 2 out of 2 $n=15.7$ Submit Answer You have up to 10 questio. Files

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Problem 1350

3. The difference of the digits of a two-digit number is 5 . When the digits are reversed, the number decreases by 45 . Find the original number.
161, ว2, 83,94

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Problem 1351

Unique ID: 0274 Score: 1/5 Penalty: 0.5 off
Question (D) Watch Video Show Examples
Solve for s . $-4=s-1$
Answer Attempt 1 out of 2 $s=$ $\square$ Submit Answer
You have up to 9 questions left to raise vour score. Nov 18 7.48

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Problem 1352

Solve the system of equations by the substitution method. $\left\{\begin{array}{l} 15 x+5 y=18 \\ -3 x=y+6 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\square$ (Type an ordered pair. Simplify your answer.) B. There are infinitely many solutions. C. There is no solution.

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Problem 1353

One Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 off
Question Watch Video Show Examples
Solve for a. $-8=4+a$
Answer Attempt 1 out of 2 $a=$ $\square$ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

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Problem 1354

Score: 4/5 Penalty: 0.5 off
Question Watch Video Show Example
Solve for t . $3=-4+t$
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

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Problem 1355

11-Which expressions is equivalent to $10 n-8$ $\begin{array}{l} A-2 n+4+2 n+4+2 n \\ B-5(2 n+2) \\ C-2(5 n+4) \\ D-2 n+4+7 n+4+2 n \end{array}$

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Problem 1356

2 4. The admission fee at a small fair is $\$ 1.50$ for children and $\$ 4.00$ for adults. On a certain day, $\$ 5,050$ is collected. If 1,00 adults attended the fair, write and solve a linear equation to find the number of children that attended. $x=1.50 \quad y=4.06$ $c=$ toal
Equation: $1.50 x+4 y=5,050$ Solution:

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Problem 1357

John is walking. $D(t)$ , given below, is his distance in kilometers from Tomsville after $t$ hours of walking. $D(t)=15.5-5 t$
Complete the following statements.
Let $D^{-1}$ be the inverse function of $D$ . Take $x$ to be an output of the function $D$ . That is, $x=D(t)$ and $t=D^{-1}(x)$ . (a) Which statement best describes $D^{-1}(x)$ ? The reciprocal of his distance from Tomsville (in kilometers) after walking $x$ hours. The amount of time he has walked (in hours) when he is $x$ kilometers from Tomsville. His distance from Tomsville (in kilometers) after he has walked $x$ hours. The ratio of the amount of time he has walked (in hours) to his distance from Tomsville (in kilometers). $x_{\text {t. }}$ (b) $D^{-1}(x)=$ $\square$ (c) $D^{-1}(8: 5)=$ $\square$

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Problem 1358

Mixed Review Tell whether the given number is a solution of each equation.
42. $10=-5 t ;-2$
See Lesson
40. $3 x+7=10 ; 0$
41. $80=4 a ; 20$
Give an example that illustrates each property.
43. Commutative Property of Addition
44. Associative Property of Multiplication
45. Identity Property of Multiplication
46. Zero Property of Addition
Gef Ready! To prepare for Lesson 2-1, do Exercises 47-54. Find each sum or difference.
47. $12+(-3)$
48. $-7+4$
49. $-8+(-6)$
50. $-42+15$
51. $32-(-8)$
52. $-18-12$
53. $-15-(-14)$
54. $-76-5$
1 Foundations for Algebra

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Problem 1359

Write the sentence as an equation. 21 is the same as c less than 269
Type a slash (/) if you want to use a division sign.

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Problem 1360

Ramona's Garage charges the following labor rates. All customers are charged for at least 0.5 hr . \begin{tabular}{|l|c|c|c|c|c|} \hline \multicolumn{6}{|c|}{ Ramona's Garage } \\ \hline Hours & 0.5 & 1 & 1.5 & 2 & 2.5 \\ \hline Labor & $\$ 60$ & $\$ 90$ & $\$ 120$ & $\$ 150$ & $\$ 180$ \\ \hline \end{tabular} a. Write a linear function for the data in the table. b. A repair job took 4 hr and 15 min and required $\$ 390$ in parts. What is the total cost? a. A linear function for the data in the table is $f(t)=30+60 t^{7}$ .

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Problem 1361

Write the sentence as an equation. $a$ is the same as 119 decreased by $b$
Type a slash ( / ) if you want to use a division sign. $\square$

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Problem 1362

Madeline has $\$ 680$ to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. - She buys a new bicycle for \ $318.67. - She buys 2 bicycle reflectors for$ \ $12.89$ each and a pair of bike gloves for \ $30.57. - She plans to spend some or all of the money she has left to buy new biking outfits for$ \ $78.20$ each.
Write and solve an inequality which can be used to determine $x$ , the number of outfits Madeline can purchase while staying within her

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Problem 1363

7. To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18 minutes. Write and solve an equation to find the number of minutes it will take to serve a party of 8 .
Equation: Solution:

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Problem 1364

Instrictional Item I A couple is taking a horse and carriage ride through Central Park in New York City After 8 minutes, they had traveled $\frac{1}{2}$ mile.
Part A. Create a graph to represent the proportional relationship between miles traveled and the number of minutes they are on the carriage. Par B. Use this graph to determine how long will it take to complete the 2.5 mile ride around the park.

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Problem 1365

7. Amir sees this price list at Sports World. \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Item } & \multicolumn{1}{c|}{ Price } \\ \hline Baseball Bat & $\$ 60 \times 2$ \\ \hline Baseball & $\$ 3$ \\ \hline \begin{tabular}{l} Baseball \\ Glove \end{tabular} & $\$ 37$ \\ \hline Helmet & $\$ 25 \times 3$ \\ \hline \end{tabular} 10
Write and solve an equation to find $x$ , the change Amir receives if he gives the clerk $\$ 200$ for 2 bats and 3 helmets. $\begin{array}{rr} 120+\frac{25 \times 3}{}-200 & 60 \\ \frac{120+75}{145}-200 & \frac{x 2}{120} \end{array}$
Equation: $\qquad$ $X=$ $\qquad$ $\begin{array}{l} 4.0 \\ 200 \\ -195 \\ -120 \\ \text { ite and solve } \\ \text { - } 195 \\ \hline \end{array}$ an equation to fave each week for 4 weeks to be able to buy a baseball and a baseball glove.
Equation: $\qquad$ $a=$ $\qquad$

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Problem 1366

Irma needs to make $b$ batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $\$ 4$ .
Pick all the expressions that represent how much Irma will spend on blueberries.
4(2b) $2+4 b$ $4\left(b^{2}\right)$ $8 b$

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Problem 1367

Identifying linear Tuncturis
Function 3 \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 5 & -2 \\ \hline 8 & -1 \\ \hline 11 & 0 \\ \hline 14 & 1 \\ \hline \end{tabular} Linear Not linear
Function 4 \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-2 & -1 \\ \hline 1 & 1 \\ \hline 4 & 5 \\ \hline 7 & 8 \\ \hline \end{tabular} Linear Not linear

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Problem 1368

15) $21=7 n$

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Problem 1369

$2+x=-2$

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Problem 1370

Bomework: ( opic 2.2) Linear and Exponential Functions Name: Directions: Selected values of several functions are given in the table below. For each table, determine if the function could be linear, exponential, or neither. Give a reason for your answer. \begin{tabular}{l}
1. $\left.\begin{array}{|c|c|}\hline x & f(x) \\ \hline 0 & \frac{1}{2} \\ \hline 2 & 2 \\ \hline 4 & 8 \\ \hline 6 & 32 \\ \hline 8 & 128 \\ \hline\end{array}\right) \times 4 \times 4.4$ . \\ \hline \end{tabular} 2. \begin{tabular}{|c|c|} \hline $x$ & $g(x)$ \\ \hline 1 & -1 \\ \hline 2 & 0 \\ \hline 3 & 2 \\ \hline 4 & 5 \\ \hline 5 & 9 \\ \hline \end{tabular}
3. $\left.\begin{array}{|c|c|}\hline x & h(x) \\ \hline 10 & 100 \\ \hline 20 & 50 \\ \hline 10(50 \\ \hline 30 & 25 \\ \hline 40 & 12.5 \\ \hline 50 & 6.25 \\ \hline\end{array}\right)=2$ . 4. \begin{tabular}{|c|c|} \hline $x$ & $k(x)$ \\ \hline 1 & -9 \\ \hline 6 & -2 \\ \hline 11 & 5 \\ \hline 16 & 12 \\ \hline 21 & 19 \\ \hline \end{tabular} beause it's $c$

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Problem 1371

3. An arctic cold front is moving through an area. It is $37^{\circ}$ when the temperature begins to drop. The scatter plot suggests a linear relationship between the temperature and the number of hours since the cold front arrived. a. What does the rate of change, or slope, represent in this situation? $-3$ b. What is the $y$ -intercept for the trend line and what does it represent? 37 Tempature ( $O f$ ) c. What equation relates the change in temperature, $y_{\text {, }}$ to the number of hours after the cold front arrives, $x$ ? $y=-3 x+37$
Temperature After Cold Eront
Use $(0,37)$ and $(9,10)$ to find slope. $m=\frac{10-37}{9-0}=\frac{-27}{9}=-3$

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Problem 1372

31. Three times a number equals 40 more than five times the number. What is the number?

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Problem 1373

If a recipe calls for 4 cups of flour for every 6 cups of sugar, how many cups of sugar are needed if you use 8 cups of flour?

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Problem 1374

32. A number equals four less than three times the number. What is the number?

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Problem 1375

$x=(2,4,-3), y=(0,1,1), z=(0,1,-1)$ vektörlerinden oluşar sistemin $\mathbb{R}^{3}$ ün bir bazı olup olmadığını araştırınız.

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Problem 1376

Which of the expressions below is equal to $3 x+9 y+15$ ? Select all that apply. A) $3(x+y+5)$ B) $3(3 x+3 y)+15$ C) $3(x+3 y+5)$ D) $3 x+3(3 y+5)$ You can earn 5 coins
A в c D Submit

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Problem 1377

Question 5 If a loan is taken out for $\$ 316$ at $6 \%$ and costs the borrower $\$ 197.83$ in simple interest, how many years was the loan for? ROUND YOUR ANSWER TO THE NEAREST WHOLE YEAR

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Problem 1378

Sort the expressions into the categories with which they are equal. Note that some expressions may not belong to any of the categories. $2(y+3)$ $4(y-3)$ $4 y-8+2 y-4$
Equal to $5 y$ - 10 Equal to $3(2 y-4)$ Equal to $2 y$ - 6 $5(y-2)$ $6(y-2)$ $2(y-3)$

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Problem 1379

Solve the equation. $\begin{array}{l} 6 x-3(x+8)=9 \\ x=\square \end{array}$

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Problem 1380

What annual simple interest rate must Diane Kruger earn to have \$76,982 increase to \$92,273 in 3 years? Do not round your intermediate calculations and enter your answer as a percentage rounded to the nearest hundredth (for example 52.55\%.)

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Problem 1381

XPRESSIONS \& EQUATIONS - $5 / 10$
Which of the options show a solution set that is true for the inequality below? Select all that apply. $9(2+x)<54$ A) $0,1,2,3$ B) $-1,-2,43,-4$ C) $5,6,7,8$ D) $8,10,12,14$ You can earn 5 coins

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Problem 1382

Solve the system of equations graphed on the coordinate axes below. $\begin{array}{l} y=-\frac{4}{3} x-6 \\ y=\frac{4}{3} x+2 \end{array}$

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Problem 1383

22 Fill in the Blank 1 point The Student Government Association (SGA) is selling candy bars to raise money for campus projects. SGA spent $\$ 525$ to buy candy bars and hopes to make $\$ 75$ each week on sales. Construct an equation that models profit or loss for selling candy bars. $y=$ type your answer... $\square$ x- $\square$ type your answer... How many weeks will it take them to make $\$ 300$ in profit? $\square$ type your answer... weeks
How many weeks will it take them to break even? $\square$ type your answer... weeks

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Problem 1384

$-8 x+16=-16 x+32$

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Problem 1385

ESSON 8 | SESSION 3
3 Colin wants to make purple paint. He finds a graph online that shows how much red and blue paint he should use to make the shade of purple he wants. a. What is the slope of the line? Show your work.

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Problem 1386

Learn with an example or Watch a video
Josiah loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour Josiah uses (in cups), $x$ , and the number of muffins he bakes, $y$ .
Write an equation for the relationship between $x$ and $y$ . Simplify any fractions. $y=\square$ Submit Workitout

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Problem 1387

Not yet answered Marked out of 3 Flag question
Match the k value with the equation it comes from. $\begin{array}{l} y=3 x+2 \\ y=3 x \\ 4 y=16 x \end{array}$
Choose.. Choose... 2 nope 4 3 6 16 Next page

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Problem 1388

Given the graph of $f(x)=-3 x-3$ :
Sketch the graph of its inverse $f^{-1}(x)$ .

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Problem 1389

Short Response
6. Robi has run the first 4 miles of a race in 30 minutes. She reached the 6 mile point after 45 minutes. Without graphing, is the slope of the line that represents this situation positive, negative, zero, or undefined? Wh is the slope?
Prentice Hall Algebra 1 - Të̉aching Resources Copyright $\odot$ by Pearson Education, Inc., or its affiliates. All Rights Reserved. 7

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Problem 1390

There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height, as expressed in the graph below. What does the slope of the line represent?
Answer The femur length for someone with an expected height of The change in expected height for every one additional 65 centimeters. The femur length for someone with an expected height of centimeter of femur length. submit Aaswar The change in expected femur length for every one 2.3 centimeters. additional centimeter of height.

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Problem 1391

Fix It \#3
Change one number in the row below to fix the Marbleslide.
² $=-0.4 x+6\{x<4\}$

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Problem 1392

Write the equation in slope-intercept form. $y+5=-6(x-1)$

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Problem 1393

17. Sherri sells photos of athletes to baseball, basketball, and hockey fans after their games. Her regular price is $\$ 10$ per photograph, and she usually sells about 30 photographs. Sherri finds that, for each reduction in price of $\$ 0.50$ , she can sell an additional two photographs. a) Total sales revenue is the product of the number of units sold and the price. Make an algebraic model to represent Sherri's total sales revenue. b) At what price will Sherri's revenue be \ $150? c) At what price will her maximum revenue occur? d) At what price will her revenue be$ \ $0$ ? e) Graph the relationship between revenue and the number of price reductions. Which features on the graph represent the solutions to parts b), c), and d)?

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Problem 1394

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. $\begin{array}{r} \frac{3}{2} x-2 y=4 \\ x+\frac{1}{3} y=2 \end{array}$ one and only one solution infinitely many solutions no solution
Find the solution, if one exists. (If there are infinitely many solutions, express $x$ and $y$ in terms of the parameter $t$ . If there is no solution, enter NO SOLU $\square$ $(x, y)=(\square)$ Need Help? Read It Watch it

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Problem 1395

\begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline-1 & -13 \\ \hline 0 & -8 \\ \hline 1 & -3 \\ \hline 2 & 2 \\ \hline 3 & 7 \\ \hline 4 & 12 \\ \hline \end{tabular}
A rrucenicus below. \begin{tabular}{|c|c|c|c|c|c|c|} \hline $4($ second $)$ & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline $k(t)$ & 27 & 42 & 57 & 72 & 80 & 110 \\ \hline \end{tabular} (a) How dues the dara in the tabli indicate that the heigte of the talloon is a linear finction of itme? (4) What is the averag rame of thange it the lefilint Inclade proper urits. (c) Gric a formuly for the height, is as a finear than (5) grastic the fillum will be uter I minuts af $\begin{array}{ll}\text { ming }\end{array}$

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Problem 1396

Question Watch Video Show Examples What is the equation of the line that passes through the point $(6,0)$ and has a slope of $-\frac{5}{6}$ ?
Answer Attempt 2 out of 3

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Problem 1397

Question Watch Video Show Examples
Find the slope of a line parallel to the line whose equation is $8 x+10 y=60$ . Fully simplify your answer. Answer Attempt 2 out of 2

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Problem 1398

$\left\{\begin{array}{c}2 x-y+2 z=6 \\ -x+y+z=0 \\ -x-3 z=-6\end{array}\right.$

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Problem 1399

$\begin{array}{c} x+2 y=7 \\ 2 x+3 y=11 \end{array}$
Which ordered pair $(x, y)$ satisfies the system f equations above? A) $(1,-3)$ 3) $(1,3)$ C) $(-1,3)$ ) $(-1,-3)$

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Problem 1400

1. Solve the following equations for $x$ . a. $3 x-5=16$

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Linearity

Problem 1301

24. −7x≤−21-7 x \leq-21−7x≤−21 and x−20≤x-20 \leqx−20≤Solve each compound inequality:25. 5<x−6<115<x-6<115<x−6<1127. −2≤3x−5≤7-2 \leq 3 x-5 \leq 7−2≤3x−5≤729. 1≤23x+3≤41 \leq \frac{2}{3} x+3 \leq 41≤32​x+3≤4

Problem 1302

Write the sentence as an equation. 300 plus the product of 298 and ddd is the same as 255 more than aType a slash ( / ) if you want to use a division sign. □\square□ Submit

Problem 1303

OL Cambridge - 0580Q8 - March 2019 P42 q10 (a) Solve the simultaneous equations.You must show all your working. Mathematics - P4 CH2\mathrm{CH}_{2}CH2​ - Algebra 6x+5y=275x−3y=44\begin{array}{l} 6 x+5 y=27 \\ 5 x-3 y=44 \end{array}6x+5y=275x−3y=44​

Problem 1304

Problem 1305

hich describes the system of equations below? y=−4x−7y=75x+59\begin{array}{l} y=-4 x-7 \\ y=\frac{7}{5} x+\frac{5}{9} \end{array}y=−4x−7y=57​x+95​​ consistent and dependent inconsistent consistent and independent Submit Not feeling read

Problem 1306

Problem 1307

Which describes the system of equations below? y=−7x+5y=−7x+5\begin{array}{l} y=-7 x+5 \\ y=-7 x+5 \end{array}y=−7x+5y=−7x+5​ inconsistent consistent and independent consistent and dependent Submit

Problem 1308

Which describes the system of equations below? y=−34x+35y=−34x+35\begin{array}{l} y=\frac{-3}{4} x+\frac{3}{5} \\ y=\frac{-3}{4} x+\frac{3}{5} \end{array}y=4−3​x+53​y=4−3​x+53​​ consistent and independent inconsistent consistent and dependent

Problem 1309

Graph the following features: - Y -intercept =−6=-6=−6 - Slope =−12=-\frac{1}{2}=−21​ Answer Attempt 1 out of 20

Problem 1310

Which describes the system of equations below? y=−8x+10y=−97x+79\begin{array}{l} y=-8 x+10 \\ y=\frac{-9}{7} x+\frac{7}{9} \end{array}y=−8x+10y=7−9​x+97​​ consistent and independent inconsistent consistent and dependent Submit

Problem 1311

Which describes the system of equations b y=14x+1y=76x−45\begin{array}{l} y=\frac{1}{4} x+1 \\ y=\frac{7}{6} x-\frac{4}{5} \end{array}y=41​x+1y=67​x−54​​ consistent and independent inconsistent consistent and dependent

Problem 1312

Solve the inequality for wi. −8x⩾103-8 x \geqslant \frac{10}{3}−8x⩾310​Simplify yout answer as much as pessitle.

Problem 1313

8. \begin{tabular}{|c|c|c|c|c|} \hlinexxx & 3 & 6 & 9 & 12 \\ \hlineyyy & -22 & -43 & -64 & -85 \\ \hline \end{tabular} point-slope form: \qquad slope-intercept form: \qquad

Problem 1314

A math teacher drove by a playground that was full of boys and dogs. The teacher happened to notice that there was a total of 40 heads and 100 feet. How many boys and how many dogs were there?

Problem 1315

4. 5x−7(x+1)>−95 x-7(x+1)>-95x−7(x+1)>−9

Problem 1316

solutions or exactly one solution. −4x+5y=−1−12x+15y=6\begin{aligned} -4 x+5 y & =-1 \\ -12 x+15 y & =6 \end{aligned}−4x+5y−12x+15y​=−1=6​Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

Problem 1317

7x+9>−337 x+9>-337x+9>−33Answer Attempt 1 out of 2 <<< □\square□ □\square□ □\square□ or □\square□ Inequality Notation: □\square□ Number Line: Submit Answer

Problem 1318

2x+9>172 x+9>172x+9>17 or 5x+10<105 x+10<105x+10<10

Problem 1319

7x−14≥07 x-14 \geq 07x−14≥0 or 4x+5≤−34 x+5 \leq-34x+5≤−3

Problem 1320

2. The Spanish club held a car wash to raise money. The equation y=5xy=5 xy=5x represents the amount of money yyy club members made for washing xxx cars. Identify the constant of proportionality. Then explain what it represents in this situation. (Example ?)

Problem 1321

10. −2<2(x−6)≤4-2<2(x-6) \leq 4−2<2(x−6)≤4

Problem 1322

Interval Notation: (6,2(6,2(6,2 9−2x≤−59-2 x \leq-59−2x≤−5 or 12x+13<15\frac{1}{2} x+13<1521​x+13<15

Problem 1323

Problem 1324

7. −53<9x+1<−26-53<9 x+1<-26−53<9x+1<−26

Problem 1325

Write a linear equation to represent the relationship between xxx and yyy.

Problem 1326

Problem 1327

Loop 1 Name \qquad Tuesday1. What is the difference between the highest and lowest temperature shown on the thermometer? A. 28 degrees B. 23 degrees C. 17 degrees D. Cannot be determined2. Solve the following equation for xxx. 0.3x−5=10.3 x-5=10.3x−5=1

Problem 1328

Solve the inequality. Graph the solution. 9x−4x+4≥36−129 x-4 x+4 \geq 36-129x−4x+4≥36−12The solution is □\square□ □\square□.

Problem 1329

Solve the inequality. Graph the solution. 3d−7d+2.8<5.8−273 d-7 d+2.8<5.8-273d−7d+2.8<5.8−27The solution is □\square□ .0 ⊸\multimap⊸ 0 ∽\backsim∽ ↩\hookleftarrow↩ ↪\hookrightarrow↪ ↩\hookleftarrow↩ a→a \rightarrowa→

Problem 1330

Problem 1331

Problem 1332

Problem 1333

Problem 1334

Problem 1335

13. A large community college has professors and lecturers. The total number of faculty members is 228 . The school reported that they have 5 professors for every 14 lecturers. How many of each type of faculty member does the community college employ?

Problem 1336

4 Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Which equation can be used to determine the number of DVDs in Daniel's collection?A 3x−x=673 x-x=673x−x=67 (B) x+x=67x+x=67x+x=67 (C) 3x+x=673 x+x=673x+x=67 (D) 3x=673 x=673x=67

Problem 1337

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. 2x+y=7−2x+2y=−5\begin{aligned} 2 x+y & =7 \\ -2 x+2 y & =-5 \end{aligned}2x+y−2x+2y​=7=−5​Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

Problem 1338

1. Which expression is equivalent to −3(2x−8)+4x-3(2 x-8)+4 x−3(2x−8)+4x ?

Problem 1339

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. 3x+2y=4−6x−4y=−8\begin{aligned} 3 x+2 y & =4 \\ -6 x-4 y & =-8 \end{aligned}3x+2y−6x−4y​=4=−8​Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

Problem 1340

Problem 1341

c) Cette semaine, Maude s'est entraînée 4 fois plus longtemps que son frère. Si son frère s'est entraîné pendant (x−10)(x-10)(x−10) heures, pendant combien de temps Maude s'est-elle entraînée? \qquad

Problem 1342

Solve for qqq. 8q−8=728 q-8=728q−8=72 q=q=q=

Problem 1343

Solve for mmm. 8m+6=54m=\begin{array}{l} 8 m+6=54 \\ m= \end{array}8m+6=54m=​

Problem 1344

3. Model Latisha eats 12 grapes with lunch and then eats some more with dinner. She eats 26 grapes in all. How many grapes does she eat with dinner? Equalion: grapes

Problem 1345

24. $-7 x \leq-21$ and $x-20 \leq$
Solve each compound inequality:
25. $5<x-6<11$
27. $-2 \leq 3 x-5 \leq 7$
29. $1 \leq \frac{2}{3} x+3 \leq 4$

Write the sentence as an equation. 300 plus the product of 298 and $d$ is the same as 255 more than a
Type a slash ( / ) if you want to use a division sign. $\square$ Submit

OL Cambridge - 0580
Q8 - March 2019 P42 q10 (a) Solve the simultaneous equations.
You must show all your working. Mathematics - P4 $\mathrm{CH}_{2}$ - Algebra $\begin{array}{l} 6 x+5 y=27 \\ 5 x-3 y=44 \end{array}$

hich describes the system of equations below? $\begin{array}{l} y=-4 x-7 \\ y=\frac{7}{5} x+\frac{5}{9} \end{array}$ consistent and dependent inconsistent consistent and independent Submit Not feeling read

Which describes the system of equations below? $\begin{array}{l} y=-7 x+5 \\ y=-7 x+5 \end{array}$ inconsistent consistent and independent consistent and dependent Submit

Which describes the system of equations below? $\begin{array}{l} y=\frac{-3}{4} x+\frac{3}{5} \\ y=\frac{-3}{4} x+\frac{3}{5} \end{array}$ consistent and independent inconsistent consistent and dependent

Graph the following features: - Y -intercept $=-6$ - Slope $=-\frac{1}{2}$ Answer Attempt 1 out of 20

Which describes the system of equations below? $\begin{array}{l} y=-8 x+10 \\ y=\frac{-9}{7} x+\frac{7}{9} \end{array}$ consistent and independent inconsistent consistent and dependent Submit

Which describes the system of equations b $\begin{array}{l} y=\frac{1}{4} x+1 \\ y=\frac{7}{6} x-\frac{4}{5} \end{array}$ consistent and independent inconsistent consistent and dependent

Solve the inequality for wi. $-8 x \geqslant \frac{10}{3}$
Simplify yout answer as much as pessitle.

8. \begin{tabular}{|c|c|c|c|c|} \hline $x$ & 3 & 6 & 9 & 12 \\ \hline $y$ & -22 & -43 & -64 & -85 \\ \hline \end{tabular} point-slope form: $\qquad$ slope-intercept form: $\qquad$

4. $5 x-7(x+1)>-9$

solutions or exactly one solution. $\begin{aligned} -4 x+5 y & =-1 \\ -12 x+15 y & =6 \end{aligned}$
Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

$7 x+9>-33$
Answer Attempt 1 out of 2 $<$ $\square$ $\square$ $\square$ or $\square$ Inequality Notation: $\square$ Number Line: Submit Answer

$2 x+9>17$ or $5 x+10<10$

$7 x-14 \geq 0$ or $4 x+5 \leq-3$

2. The Spanish club held a car wash to raise money. The equation $y=5 x$ represents the amount of money $y$ club members made for washing $x$ cars. Identify the constant of proportionality. Then explain what it represents in this situation. (Example ?)

10. $-2<2(x-6) \leq 4$

Interval Notation: $(6,2$ $9-2 x \leq-5$ or $\frac{1}{2} x+13<15$

7. $-53<9 x+1<-26$

Write a linear equation to represent the relationship between $x$ and $y$ .

Loop 1 Name $\qquad$ Tuesday
1. What is the difference between the highest and lowest temperature shown on the thermometer? A. 28 degrees B. 23 degrees C. 17 degrees D. Cannot be determined
2. Solve the following equation for $x$ . $0.3 x-5=1$

Solve the inequality. Graph the solution. $9 x-4 x+4 \geq 36-12$
The solution is $\square$ $\square$ .

Solve the inequality. Graph the solution. $3 d-7 d+2.8<5.8-27$
The solution is $\square$ .
0 $\multimap$ 0 $\backsim$ $\hookleftarrow$ $\hookrightarrow$ $\hookleftarrow$ $a \rightarrow$

4 Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Which equation can be used to determine the number of DVDs in Daniel's collection?
A $3 x-x=67$ (B) $x+x=67$ (C) $3 x+x=67$ (D) $3 x=67$

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. $\begin{aligned} 2 x+y & =7 \\ -2 x+2 y & =-5 \end{aligned}$
Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

1. Which expression is equivalent to $-3(2 x-8)+4 x$ ?

Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. $\begin{aligned} 3 x+2 y & =4 \\ -6 x-4 y & =-8 \end{aligned}$
Answer One Solution Submit Answer Infinitely Many Solutions No Solutions

c) Cette semaine, Maude s'est entraînée 4 fois plus longtemps que son frère. Si son frère s'est entraîné pendant $(x-10)$ heures, pendant combien de temps Maude s'est-elle entraînée? $\qquad$

Solve for $q$ . $8 q-8=72$ $q=$

Solve for $m$ . $\begin{array}{l} 8 m+6=54 \\ m= \end{array}$

Score: 1/5 Penalty: 0.5 off
Question (0) Watch Video Show Exam
Find the value of $x$ in the equation below. $x+15.4=17.7$
Answer Attempt 1 out of 2 $x=\square$ Submit Answer
You have up to 9 questions left to raise your score.

One Step Equations with (Positive) Decimals Unique ID: 0270 Score: 2/5 Penalty: 0.5 off
Question Watch Video
Find the value of $x$ in the equation below. $15.9=x-1.1$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

Score: $3 / 5$ Penalty: 0.5 off
Question Watch Video Show
Find the value of $x$ in the equation below. $\frac{x}{3}=8$
Answer Attempt 1 out of 2 $x=$ $\square$ Submit Answer

Write the equation of the line in slope-intercept form. $\begin{array}{l} y=-\frac{4}{5} x+4 \\ y=-x+4 \\ y=4 x+4 \end{array}$ $y=\frac{4}{5} x+4$

Question Watch Video
Solve for n . $3+n=-10$
Answer Attempt 2 out of 2 $n=15.7$ Submit Answer You have up to 10 questio. Files

3. The difference of the digits of a two-digit number is 5 . When the digits are reversed, the number decreases by 45 . Find the original number.
161, ว2, 83,94

Unique ID: 0274 Score: 1/5 Penalty: 0.5 off
Question (D) Watch Video Show Examples
Solve for s . $-4=s-1$
Answer Attempt 1 out of 2 $s=$ $\square$ Submit Answer
You have up to 9 questions left to raise vour score. Nov 18 7.48

One Step Equations (Add/Subtract) Unique ID: 0275 Score: 2/5 Penalty: 0.5 off
Question Watch Video Show Examples
Solve for a. $-8=4+a$
Answer Attempt 1 out of 2 $a=$ $\square$ Submit Answer You have up to 8 questions left to raise vour score. Nor 18 7.51

Score: 4/5 Penalty: 0.5 off
Question Watch Video Show Example
Solve for t . $3=-4+t$
Answer Attempt 1 out of 2 $t=$ $\square$ Submit Answer

11-Which expressions is equivalent to $10 n-8$ $\begin{array}{l} A-2 n+4+2 n+4+2 n \\ B-5(2 n+2) \\ C-2(5 n+4) \\ D-2 n+4+7 n+4+2 n \end{array}$

Write the sentence as an equation. 21 is the same as c less than 269
Type a slash (/) if you want to use a division sign.

Write the sentence as an equation. $a$ is the same as 119 decreased by $b$
Type a slash ( / ) if you want to use a division sign. $\square$

7. To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18 minutes. Write and solve an equation to find the number of minutes it will take to serve a party of 8 .
Equation: Solution:

15) $21=7 n$

$2+x=-2$