Linearity

Problem 501

Question 1, 11.1.45
Solve the given system of equations. If the system has no solution, say that it is inconsistent. $\left\{\begin{array}{rr} x-2 y+3 z= & 7 \\ 2 x+y+z= & -1 \\ -3 x+2 y-2 z= & -3 \end{array}\right.$

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Problem 502

4/4 $5-2 t=3 t$

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Problem 503

$-3 v<18$
Simplify your answer as much as

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Problem 504

Exit Ticket John is going on a road trip. His total cost, $y$ , for the road trip is represented by the equation $y=2 x+20$ . If he has $\$ 300$ to spend on the road trip, how many miles, $x$ , can he travel. 100 miles 120 miles 140 miles 160 miles

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Problem 505

3. A department store sells a pair of shoes for $\$ 73$ and an assortment of bags for $\$ 44$ each. In one day, the store sells $n$ pairs of shoes and $(n-7)$ bags. Which expressions represent the day's total sales for shoes and bags at the store? (A) $73 n+44 n+308$ (B) $44(n-7)+73 n$ (C) $44 n+73(n-7)$ (D) $73 n+44(n-7)$ (E) $n(73+44)-7$ (F) $117 n-308$ (G) $117 n-7$

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Problem 506

A boy tosses an orange straight up, and then catches it again at the same height. The orange is in the air for 0.75 s. Assume air resistance is negligible.
What was the orange's velocity at the instant it was tossed into the air? Assume a coordinate system in which up is positive. Round your answer to two significant digits. $\square$ $\mathrm{m} / \mathrm{s}$

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Problem 507

Write each equation in standard form. State $\mathrm{A}, \mathrm{B}$ and C . 16.) $5 y-\frac{4}{3} x+6=-\frac{3}{5}(x-1)$ 17.) $3 x+\frac{2}{5} y=4+\frac{7}{3} x$ 18.) $2\left(x-\frac{5}{6}\right)=3\left(y+\frac{2}{5}\right)$

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Problem 508

Unblocked Games -... Unblocked Games -. Vandalizing My Own...
Solutions to Systems - Convert then Graph What is the $\mathbf{x}$ -coordinate of the ordered pair that represents the solution to the system of equations? $\begin{array}{l} -x+y=6 \\ y=2 x+2 \end{array}$
I need help! Where do I start?

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Problem 509

b) Simplify $3(x+5)-x+3$ $2 x+18$ Answ

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Problem 510

Solve
Solve for $k 7 k=12 k+25 ?$ $-3$ $-2$ $-4$ $-5$
I need help! Where do I start?

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Problem 511

Solve What value of x which makes the equation true $3 x+5=5-7(x+5)$ ? $x=$ $\square$
I need help! Where do I start?

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Problem 512

Question 9, *5.6.7 Points: 0 of 1
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. $(-9,-3) ; y=-4 x+5$
Write an equation for the line in slope-intercept form. $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Problem 513

$\begin{array}{l} x+3 y=3 \\ x-3 y=9 \end{array}$
Click to select points on the graph.

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Problem 514

What is the equation in slope-intercept form of the line that passes through the point $(6,3)$ and is parallel to the graph of $\begin{array}{l} y=-\frac{2}{3} x+12 ? \\ y=-\frac{2}{3} x+\square \end{array}$

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Problem 515

$\text{Given that } m_{1} = m_{2} \text{ and } c_{1} = c_{2}, \text{ solve the equation } y + bx = c.$

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Problem 516

5. Solve for $x$ in the equation below. $(x-2)=-\frac{1}{4}(x-8)$

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Problem 517

Question Which of the following systems of equations has no solution?
$\begin{array}{l} x-2 y=2 \\ x-2 y=4 \end{array}$
$\begin{array}{r} x+2 y=7 \\ x=y \end{array}$
$\begin{array}{l} x-y=0 \\ x+y=1 \end{array}$
$\begin{aligned} x-y & =1 \\ x & =2 y \end{aligned}$

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Problem 518

Solve the equation $-16(d+1)=-20$ .

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Problem 519

Santa's sleigh rides follow the path of the equation $y \neq 2 x+5$ Determine the $y$ -intercept of Santa's journey.

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Problem 520

A Thanksgiving sweater is knitted with $2(x+5)+3(2 x-4)=19$ of yarn. Find $x$ .

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Problem 521

3. (4.1) Consider the following relation. $\begin{array}{l} -2 x-2 y= 3 x-y \\ +2 x+h 1 \\ +2 x+2 \end{array}$
Answer: $\quad f(x)=$ $\qquad$ $-5 x$
Step 2. Evaluate the function found in the previous step at $x=1$ . $\begin{array}{l} -5(1)-1 y \\ -5-1 y \end{array}$
Answer: $\quad f(1)=$ $\qquad$ Step 3. Determine the implied domain of the function found in the first step. Express your answer in interval notation.

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Problem 522

The Pilgrims planted $\frac{1}{3}(9 x+6)$ corn plants, totaling 18 . Find $x$ .

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Problem 523

. An Indigenous person crafted a necklace using $3(4 x+5)=51$ turquoise beads. Find x .

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Problem 524

Question 9 1 Point
Each production worker can produce 5 wooden chairs per hour. During the month of june, Chairs, inc. has forecasted sales of 100,000 chairs. The beginning inventory was 1,000 chairs, and desired ending inventory is 2,500 chairs. How many hours of direct labour must be budgeted to meet production needs? (A) 20,300 (B) 20,000 (C) 21,200 (D) 19,700

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Problem 525

1. For two quantities $x$ and $y$ , if $y$ is always a constant multiple of $x$ , they have $a(n)$ $\square$

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Problem 526

How many days will it take for a sum of $\$ 1800$ to earn $\$ 16$ interest if it is deposited in a bank paying simple interest at the rate of $4 \% /$ year? (Use a 365 -day year. Round your answer up to the nearest full day.) 81 $\square$ $x$ days Need Help? Read It $\square$ Watch it

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Problem 527

Solve for $x$ . $-3.5(x+5.73)=-32.41$ $x=14.99$ $x=10.89$ $x=7.62$ $x=3.53$

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Problem 528

Question Watch Video Show Examples
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution. $\begin{array}{r} x+5 y=2 \\ 3 x+15 y=8 \end{array}$
Answer
No Solutions One Solution Submit Answer
Infinitely Many Solutions

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Problem 529

Andre and Priya are tracking the number of steps they walk. Andre records that he can walk 6000 steps in 50 minutes. Priya writes the equation $y=118 x$ , where $y$ is the number of steps and $x$ is the number of minutes she walks, to describe her step rate. This week, Andre and Priya each walk for a total of 5 hours. Who walks more steps? How many more?

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Problem 530

Determinar sl cada par ordenado es una solución de $5 x-4 y=17$ . \begin{tabular}{|c|c|c|} \hline \multirow{2}{*}{ $(x, y)$ } & \multicolumn{2}{|c|}{ ¿Es una solución? } \\ \cline { 2 - 3 } & Sí & No \\ \hline $(-6,2)$ & 0 & 0 \\ \hline $(2,9)$ & 0 & 0 \\ \hline $(-3,-8)$ & 0 & 0 \\ \hline $(1,-3)$ & 0 & 0 \\ \hline \end{tabular} Explidzetión Verificar

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Problem 531

14. Sue buys material to make a costume. She buys 1.75 yards of red material. She buys 1.2 times as many yards of blue material. How many yards of blue material does Sue buy?

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Problem 532

19. $4-y=3 x$ \begin{tabular}{c|c} X & Y \\ \hline 2 & \\ 1 & \\ -2 & \end{tabular}

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Problem 533

Solve $8+9 x=53$

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Problem 534

Question Show Examples
Find the slope of a line perpendicular to the line whose equation is $3 x+y=8$ . Fully simplify your answer.
Answer Attempt 1 out of 2

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Problem 535

Question Show Examples
Find the slope of a line perpendicular to the line whose equation is $x-2 y=-8$ . Fully simplify your answer.
Answer Attempt 1 out of 2

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Problem 536

Question Show Examples
What is the slope of the line that passes through the points $(9,4)$ and $(3,9)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2

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Problem 537

Question What is the slope of the line that passes through the points $(8,-8)$ and $(5,-12)$ ? Write your answer in simplest form.

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Problem 538

Solve the system by the method of your choice. $\left\{\begin{array}{l} x=2 y+1 \\ -2 x+4 y=-2 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is exactly one solution. The solution set is $\square$ 3. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. The solution set is $\{(x, y) \mid x=2 y+1\}$ or $\{(x, y) \mid-2 x+4 y=-2\}$ C. The solution set is $\varnothing$ .

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Problem 539

Question Show Examples
What is the equation of the line that passes through the point $(-3,-6)$ and has a slope of $-\frac{2}{3}$ ?
Answer Attempt 1 out of 2

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Problem 540

Simplify each expression.
1. $9 y+4.1-6 y$
2. $-3 x+5+7 x$
3. $8 x+13-3 x+9 \frac{1}{2}$
4. $y^{2}+3 y^{2}$
5. $4 x+15-3 x+10$
6. $-10 x+2 x+8 x$

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Problem 541

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

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Problem 542

USING TOOLS Use technology to solve the system of linear equations. $\begin{array}{l} -7 x+6 y=0 \\ 0.5 x+y=2 \end{array}$
The solution is: ( $\square$ , $\square$

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Problem 543

$\begin{array}{l}-7 x+6 y=0 \\ 0.5 x+y=2\end{array}$

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Problem 544

Show Examples
Question What is the equation of the line that passes through the point $(-6,-3)$ and has a slope of $-\frac{1}{6}$ ?
Answer Attempt 1 out of 2

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Problem 545

Show Examples
Question What is the equation of the line that passes through the point $(6,2)$ and has a slope of $\frac{1}{3}$ ?

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Problem 546

Question Watch Video Show Examples
What is an equation of the line that passes through the point $(5,-3)$ and is parallel to the line $4 x+5 y=15$ ?

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Problem 547

Which equation represents a line which is parallel to the line $y=2 x-5$ ?
Answer $2 x+y=8$ $y-2 x=-8$ $x+2 y=-4$ $x-2 y=6$

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Problem 548

Solve for $b$ . $4 \geq \frac{b}{6}$

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Problem 549

A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Volume of Water in Pool
Segment Undo Redo Reset

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Problem 550

Salve foit 1 $\text { is) } 10=101+16$
While yous answer wilh if firs, followed by an inequality symbol,

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Problem 551

Solve for $r$ . $17+7 r \leq 3 r-3$
Write your answer with $r$ first, followed by an inequality symbol.

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Problem 552

$\begin{array}{l} y<-4 x+6 \\ y>\frac{1}{4} x+4 \end{array}$
Answer $(3,9)$ $(-2,-4)$ (9.5) $(-7.9)$ DeltaMath - Googl...

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Problem 553

Find the $x$ - and $y$ -intercepts of the graph of the linear equation $3 x+6 y=24$ .
The $x$ -intercept is $\square$ $\square$ .
The $y$ -intercept is $\square$ $\square$ .

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Problem 554

$x+1.5 \geq-2.5$ $-1.5 y-1.5$ $10<x-1$ $\frac{x}{2} \geq-4$
10. $x+11.6<10.6$ $-11.6<-11.6$
12. $\frac{x}{2}<-\frac{7}{2}$
14. $-12<-3 x$

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Problem 555

Solve. $\begin{array}{l} x=1 \\ 9 x-2 y=3 \end{array}$

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Problem 556

$\begin{array}{l}-6 x+3 y=-15 \\ y=-7\end{array}$

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Problem 557

Question Show Examples
Select the values that make the inequality $\frac{x}{-4}>-9$ true. Then write an equivalent inequality, in terms of $x$ . (Numbers written in order from least to greatest going across.)
Answer Attempt 2 out of 2 28 32 33 35 36 37 39 40 44 Equivalent Inequality: $x$ $\square$

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Problem 558

This is the graph of a linear inequality. Write the inequality in slope-

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Problem 559

c. $2-(y+2)=3 y$

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Problem 560

Question Write the equation of the line that passes through the points $(4,7)$ and $(5,-7)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

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Problem 561

Troy has $p$ peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. $\square$ Submit

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Problem 562

$\begin{array}{l}y=5 x+1 \\ y=-2 x-8\end{array}$

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Problem 563

$\begin{array}{l}20 x-5 y=5 \\ 4 x-y=1\end{array}$

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Problem 564

Select all the true statements. A. The slope of $m$ is $-\frac{2}{5}$ . B. The slope of $q$ is $-\frac{5}{2}$ . C. The slope of $n$ is $\frac{2}{5}$ . D. The slope of $p$ is $-\frac{5}{2}$ . E. The slope of $p$ is the negative reciprocal of the slope of $q$ .

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Problem 565

$5 x-2(x-2)=1-9+5 x+7$

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Problem 566

(22) Solve the following linear Diophantine equations: (i) $56 x+72 y=40$ . (ii) $221 x+91 y=117$ . (iii) $2378 x+1769 y=214$ . (iv) $242 x+338 y=18$ .

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Problem 567

Which equation is correctly rewritten to solve for $y$ ? $12 y+d=-19 y+t$ A. $y=31(t-d)$ B. $y=\frac{t-d}{31}$ C. $y=\frac{t+d}{-7}$ D. $y=-7(t+d)$

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Problem 568

(vii) $84 x-438 y=150$ .
Having that $\operatorname{gcd}(a, b)=1$ , prove the following: (i) $\operatorname{gcd}(2 a+b, a+2 b)=1$ or 3 . (ii) $\operatorname{god}\left(a+b, a^{2}+b^{2}\right)=1$ or 2 .
For $a, b \in \mathbf{Z}^{+}$ , and $n \geq 1$ , prove that if $a^{n} \mid b^{n}$ , then $a \mid b$

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Problem 569

$\begin{array}{l}\text { 5) } x+6 y=-6 \\ 2 x+7 y=-12\end{array}$

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Problem 570

roblem 4.1 A school choir has an upcoming concert. They are figuring out what prices to set for student tickets, $s$ , and adult tickets, $a$ . - They estimate that 150 students and 50 adults will buy tickets. - They hope to make $\$ 1000$ in ticket sales. - They would like the adult ticket price to be double the student ticket price.
Write a system of equations that represents this situation. Let a=adult ticket price and $\mathrm{s}=\mathrm{student}$ ticket price \begin{tabular}{|c|c|} \hline First equation & \\ \hline Second equation & \\ \hline \end{tabular}

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Problem 571

For babysitting, Nicole charges a flat fee of $\$ 3$ , plus $\$ 5$ per hour. Write an equation for the cost, C , after $h$ hours of babysitting.

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Problem 572

Kinora
Shen is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. (a) How many minutes does Shen walk per calorie burned? $\square$ minute(s) (b) What is the slope of the graph?

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Problem 573

2) $8(x+2)$ when $x=6$

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Problem 574

7. Write and solve an equation for the model shown below.
Equation: $\qquad$ Solution: $\qquad$

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Problem 575

Consider the following two lines: Line 3: $y=-\frac{2}{3} x-3$ Line 4: $x=-\frac{3}{2} y-10$ The slope of Line 3 is: $m=$ $\square$ The slope of Line 4 is: $m=$ $\square$ Finally, which of the following is true? Select an answer

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Problem 576

Consider the expressions $5+8 k$ and $8 k+5$ . Determine why the expressions are equivalent. Using $k=3$ $\begin{array}{lc} 5+8 k & 8 k+5 \\ 5+8(3) & 8(3)+5 \\ 5+24=29 & 24+5=29 \end{array}$
Using $k=5$ $\begin{array}{lc} 5+8 k & 8 k+5 \\ 5+8(5) & 8(5)+5 \\ 5+40=45 & 40+5=45 \end{array}$
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are $\square$ The value of both expressions when $k=3$ is $\square$ and when $k=5$ is 45 , so the expressions are $\square$ Intro Done

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Problem 577

Find the slope of the following linear equation. If the slope is undefined, enter UND for "undefined". $x=-14$
Answer

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Problem 578

Using the Commutative Property
Use the commutative property to create equivalent expressions. Which expressions are equivalent to $2.2 t+3.5+$ 9.8? Check all that apply. $3.5+2.2 t+9.8$ $3+2 t+9$ $2.2+3.5+9.8 t$ $9.8+3.5+2.2 t$ $2.2 t+9.8+3.5$ $2.2 t+35.98$ Intro Done

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Problem 579

Is the expression $2 f+4 f+2-3$ equivalent to $6 f-1 ?$ $6 f-1$ evaluated at $f=9$ is 53. $2 f+4 f+2-3$ evaluated at $f=9$ is also 53 . $6 f-1$ evaluated at $f=3$ is 17 What is $2 f+4 f+2-3$ evaluated at $f=3$ ?

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Problem 580

hine if the expressions are equivalent. when $w=11$ : \begin{tabular}{cc} $2 w+3+4$ & $4+2 w+3$ \\ $2(11)+3+4$ & $4+2(11)+3$ \\ $22+3+4$ & $4+22+3$ \\ $25+4$ & $26+3$ \\ 29 & 29 \end{tabular}
Complete the statements. Now, check another value for the variable. When $w=2$ ; the first expression is $\square$ When $w=2$ , the second expression is $\square$ Therefore, the expressions are $\square$

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Problem 581

Which expressions are equivalent to $\frac{1}{2}+3 c+\frac{4}{5} ?$ Select three options. $3 c+\frac{4}{5}+\frac{1}{2}$ $1+2+3 c+4+5$ $\frac{4}{5}+\frac{1}{2}+3 c$ $2+3 c+4$ $\frac{1}{2}+\frac{4}{5}+3 c$

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Problem 582

Use the commutative property to write an equivalent expression to $4 g+13$ , and show that they are equivalent for $g=$ 10 and $g=2$ . Complete the statements.
If you change the order of the terms you can create the equivalent expression $\square$ After substituting 10 for $g$ , the expressions are $\square$ and $\square$ After substituting 2 for $g$ , the expressions are $4(2)+13$ and $13+4(2)$ . The expressions are equivalent because they both have a value of $=2$ 。 $\square$ when $g=10$ and a value of $\square$ when $g$

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Problem 583

$-12x - 6y \geq 5$ Choose 1 answer: (A) (B) (C) (D)
2 of 4 ح 0

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Problem 584

$-4(3m + 2n) - 5m + y$

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Problem 585

10. $32=s-19$

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Problem 586

17. You have some baseball trading cards. You give 21 baseba cards to a friend and have 9 left for yourself. How many baseball cards were in your original deck? Write and solve an equation to find $t$ , the number of baseball cards in your original deck.

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Problem 587

2. Kelly opened a bank account that earns 1.2\% simple interest each year. After 7 years, Kelly will earn $\$ 126$ in interest. How much did Kelly deposit when she opened the account?

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Problem 588

$\begin{array}{l}4 x+y=28 \\ y=3 x \\ x=\square \\ y=\square\end{array}$

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Problem 589

E AILS MY NOTES LARLINALG8M 1.2.031.
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (I solutions, set $x_{3}=t$ and solve for $x_{1}$ and $x_{2}$ .) $\begin{array}{rr} x_{1}-3 x_{3}= & -2 \\ 3 x_{1}+x_{2}-2 x_{3}= & 5 \\ 2 x_{1}+2 x_{2}+x_{3}= & 4 \\ \left(x_{1}, x_{2}, x_{3}\right)=(\square) \end{array}$

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Problem 590

7 Asegninet 41 16 instructure com/courses/38499/assignments/1025898 Epic| The Leading. Syrngted Pubics. Dastboard Hon
07 , Assignments > 7 Assignment 4.1 7 Assignment 4.1
Due Thursday by 4pm Points 10 (7)
Math Usten cet (LT) Factor out the coefficient of the va $4 x-20$
Factored expression: $\square$
Basic
7 8 9 4 5 6

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Problem 591

A. IDENTIFY THE SLOPE AND Y-INT
1. $y=B+1$ slope/m: ype of slope: Rositive intercept/b: $y=m x+b$

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Problem 592

Listen
Write the word sentence as an equation. Then solve the equation. 10 more than a number c is 3.
Equation: $\square$
Solution: $c=$ $\square$

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Problem 593

$\begin{array}{l}3 x+4 y=-23 \\ x=3 y+1 \\ x=\square \\ y=\square\end{array}$

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Problem 594

5. $y=1 / 2 x+1$ slope/m: $\qquad$ Type of slope: $\qquad$ y-intercept/b: $\qquad$

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Problem 595

Pablo is simplifying the expression below. $-\frac{1}{4}(8 x+12)-(-2 x+5)$
He used the steps below to simplify the expression. $\begin{aligned} & -\frac{1}{4}(8 x+12)-(-2 x+5) \\ = & -2 x-3+2 x-5 \\ = & -8 \end{aligned}$
Which statement is true about the steps that Pablo used to simplify the expression? He combined like terms inside the parentheses, distributed $-\frac{1}{4}$ over $(8 x+12)$ , and then combir Mark this and return Save and Exit Next

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Problem 596

Six players on the Sluggers baseball team are pitchers. The pitchers make up 25\% of the team. How many players are on the Sluggers baseball team? )) Pick the model that represents the oblem. \begin{tabular}{|c|c|c|c|c|} \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & 6 & & & ? \\ \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & ? & & & 25 \\ \hline \end{tabular}

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Problem 597

11. $y=-x-2$ \begin{tabular}{|c|c|c|c|} \hline $x$ & $-x-2$ & $y$ & $(x, y)$ \\ \hline 0 & & & \\ \hline 1 & & & \\ \hline 2 & & & \\ \hline \end{tabular}
SLOPE $/ m=\frac{\text { rise }}{\text { run }}=$ At what point does the line cross the $y$ -axis/b/y-intercept = $\qquad$

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Problem 598

Pre-Test Active 1 2 3 4 5
What is the simplified expression for the expression below? $-1(2 x+3)-2(x-1)$ $-4 x+1$ $-4 x-2$ $-4 x+2$ $-4 x-1$

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Problem 599

Use your knowledge of linear inequalities to answer each question.
1. Which inequality is represented on the graph below? a. $y>-2 x+8$ b. $y<-2 x+8$ c. $y \geq-2 x+8$ d. $y \leq-2 x+8$
2. Asia graphed $y>x+5$ as shown. Which of the following is true? a. Asia should have used a dashed line. b. Asia should have shaded above the line. c. Both $a$ and $b$ are true. A Asia's graph is correct.
Create a graph of each linear inequality.
3. $y \leq \frac{1}{2} x-4$
4. $3 x+y>8$

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Problem 600

Whose method is correct and why? Lisa's method is correct because $2(x-2)$ equals $2 x-2$ . Lisa's method is correct because $2(x-2)$ equals $2 x$ . Jaleel is correct because $2(x-2)$ equals $2 x-2$ Jaleel is correct because $2(x-2)$ equals $2 x-4$ . Mark this and return Save and Exit Nest Submit

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1 ...3 4 5 6 7 8 9 ...76

Linearity

Problem 501

Problem 502

4/4 5−2t=3t5-2 t=3 t5−2t=3t

Problem 503

−3v<18-3 v<18−3v<18Simplify your answer as much as

Problem 504

Exit Ticket John is going on a road trip. His total cost, yyy, for the road trip is represented by the equation y=2x+20y=2 x+20y=2x+20. If he has $300\$ 300$300 to spend on the road trip, how many miles, xxx, can he travel. 100 miles 120 miles 140 miles 160 miles

Problem 505

Problem 506

Problem 507

Problem 508

Problem 509

b) Simplify 3(x+5)−x+33(x+5)-x+33(x+5)−x+3 2x+182 x+182x+18 Answ

Problem 510

SolveSolve for k7k=12k+25?k 7 k=12 k+25 ?k7k=12k+25? −3-3−3 −2-2−2 −4-4−4 −5-5−5I need help! Where do I start?

Problem 511

Solve What value of x which makes the equation true 3x+5=5−7(x+5)3 x+5=5-7(x+5)3x+5=5−7(x+5) ? x=x=x= □\square□I need help! Where do I start?

Problem 512

Problem 513

x+3y=3x−3y=9\begin{array}{l} x+3 y=3 \\ x-3 y=9 \end{array}x+3y=3x−3y=9​Click to select points on the graph.

Problem 514

What is the equation in slope-intercept form of the line that passes through the point (6,3)(6,3)(6,3) and is parallel to the graph of y=−23x+12?y=−23x+□\begin{array}{l} y=-\frac{2}{3} x+12 ? \\ y=-\frac{2}{3} x+\square \end{array}y=−32​x+12?y=−32​x+□​

Problem 515

Given that m1=m2 and c1=c2, solve the equation y+bx=c.\text{Given that } m_{1} = m_{2} \text{ and } c_{1} = c_{2}, \text{ solve the equation } y + bx = c.Given that m1​=m2​ and c1​=c2​, solve the equation y+bx=c.

Problem 516

5. Solve for xxx in the equation below. (x−2)=−14(x−8)(x-2)=-\frac{1}{4}(x-8)(x−2)=−41​(x−8)

Problem 517

Problem 518

Solve the equation −16(d+1)=−20-16(d+1)=-20−16(d+1)=−20.

Problem 519

Santa's sleigh rides follow the path of the equation y≠2x+5y \neq 2 x+5y=2x+5 Determine the yyy-intercept of Santa's journey.

Problem 520

A Thanksgiving sweater is knitted with 2(x+5)+3(2x−4)=192(x+5)+3(2 x-4)=192(x+5)+3(2x−4)=19 of yarn. Find xxx.

Problem 521

Problem 522

The Pilgrims planted 13(9x+6)\frac{1}{3}(9 x+6)31​(9x+6) corn plants, totaling 18 . Find xxx.

Problem 523

. An Indigenous person crafted a necklace using 3(4x+5)=513(4 x+5)=513(4x+5)=51 turquoise beads. Find x .

Problem 524

Problem 525

1. For two quantities xxx and yyy, if yyy is always a constant multiple of xxx, they have a(n)a(n)a(n) □\square□

Problem 526

Problem 527

Solve for xxx. −3.5(x+5.73)=−32.41-3.5(x+5.73)=-32.41−3.5(x+5.73)=−32.41 x=14.99x=14.99x=14.99 x=10.89x=10.89x=10.89 x=7.62x=7.62x=7.62 x=3.53x=3.53x=3.53

Problem 528

Problem 529

Problem 530

Problem 531

14. Sue buys material to make a costume. She buys 1.75 yards of red material. She buys 1.2 times as many yards of blue material. How many yards of blue material does Sue buy?

Problem 532

19. 4−y=3x4-y=3 x4−y=3x \begin{tabular}{c|c} X & Y \\ \hline 2 & \\ 1 & \\ -2 & \end{tabular}

Problem 533

Solve 8+9x=538+9 x=538+9x=53

Problem 534

Question Show ExamplesFind the slope of a line perpendicular to the line whose equation is 3x+y=83 x+y=83x+y=8. Fully simplify your answer.Answer Attempt 1 out of 2

Problem 535

Question Show ExamplesFind the slope of a line perpendicular to the line whose equation is x−2y=−8x-2 y=-8x−2y=−8. Fully simplify your answer.Answer Attempt 1 out of 2

Problem 536

Question Show ExamplesWhat is the slope of the line that passes through the points (9,4)(9,4)(9,4) and (3,9)(3,9)(3,9) ? Write your answer in simplest form.Answer Attempt 1 out of 2

Problem 537

Question What is the slope of the line that passes through the points (8,−8)(8,-8)(8,−8) and (5,−12)(5,-12)(5,−12) ? Write your answer in simplest form.

Problem 538

Problem 539

Question Show ExamplesWhat is the equation of the line that passes through the point (−3,−6)(-3,-6)(−3,−6) and has a slope of −23-\frac{2}{3}−32​ ?Answer Attempt 1 out of 2

Problem 540

Simplify each expression.1. 9y+4.1−6y9 y+4.1-6 y9y+4.1−6y2. −3x+5+7x-3 x+5+7 x−3x+5+7x3. 8x+13−3x+9128 x+13-3 x+9 \frac{1}{2}8x+13−3x+921​4. y2+3y2y^{2}+3 y^{2}y2+3y25. 4x+15−3x+104 x+15-3 x+104x+15−3x+106. −10x+2x+8x-10 x+2 x+8 x−10x+2x+8x

Problem 541

Question Show ExamplesWhat is the equation of the line that passes through the point (−3,−6)(-3,-6)(−3,−6) and has a slope of −23-\frac{2}{3}−32​ ?Answer Attempt 2 out of 2

Problem 542

USING TOOLS Use technology to solve the system of linear equations. −7x+6y=00.5x+y=2\begin{array}{l} -7 x+6 y=0 \\ 0.5 x+y=2 \end{array}−7x+6y=00.5x+y=2​The solution is: ( □\square□ , □\square□

Problem 543

−7x+6y=00.5x+y=2\begin{array}{l}-7 x+6 y=0 \\ 0.5 x+y=2\end{array}−7x+6y=00.5x+y=2​

Problem 544

Show ExamplesQuestion What is the equation of the line that passes through the point (−6,−3)(-6,-3)(−6,−3) and has a slope of −16-\frac{1}{6}−61​ ?Answer Attempt 1 out of 2

Problem 545

Show ExamplesQuestion What is the equation of the line that passes through the point (6,2)(6,2)(6,2) and has a slope of 13\frac{1}{3}31​ ?

Problem 546

Question Watch Video Show ExamplesWhat is an equation of the line that passes through the point (5,−3)(5,-3)(5,−3) and is parallel to the line 4x+5y=154 x+5 y=154x+5y=15 ?

Problem 547

4/4 $5-2 t=3 t$

$-3 v<18$
Simplify your answer as much as

Exit Ticket John is going on a road trip. His total cost, $y$ , for the road trip is represented by the equation $y=2 x+20$ . If he has $\$ 300$ to spend on the road trip, how many miles, $x$ , can he travel. 100 miles 120 miles 140 miles 160 miles

b) Simplify $3(x+5)-x+3$ $2 x+18$ Answ

Solve
Solve for $k 7 k=12 k+25 ?$ $-3$ $-2$ $-4$ $-5$
I need help! Where do I start?

Solve What value of x which makes the equation true $3 x+5=5-7(x+5)$ ? $x=$ $\square$
I need help! Where do I start?

$\begin{array}{l} x+3 y=3 \\ x-3 y=9 \end{array}$
Click to select points on the graph.

What is the equation in slope-intercept form of the line that passes through the point $(6,3)$ and is parallel to the graph of $\begin{array}{l} y=-\frac{2}{3} x+12 ? \\ y=-\frac{2}{3} x+\square \end{array}$

$\text{Given that } m_{1} = m_{2} \text{ and } c_{1} = c_{2}, \text{ solve the equation } y + bx = c.$

5. Solve for $x$ in the equation below. $(x-2)=-\frac{1}{4}(x-8)$

Solve the equation $-16(d+1)=-20$ .

Santa's sleigh rides follow the path of the equation $y \neq 2 x+5$ Determine the $y$ -intercept of Santa's journey.

A Thanksgiving sweater is knitted with $2(x+5)+3(2 x-4)=19$ of yarn. Find $x$ .

The Pilgrims planted $\frac{1}{3}(9 x+6)$ corn plants, totaling 18 . Find $x$ .

. An Indigenous person crafted a necklace using $3(4 x+5)=51$ turquoise beads. Find x .

1. For two quantities $x$ and $y$ , if $y$ is always a constant multiple of $x$ , they have $a(n)$ $\square$

Solve for $x$ . $-3.5(x+5.73)=-32.41$ $x=14.99$ $x=10.89$ $x=7.62$ $x=3.53$

19. $4-y=3 x$ \begin{tabular}{c|c} X & Y \\ \hline 2 & \\ 1 & \\ -2 & \end{tabular}

Solve $8+9 x=53$

Question Show Examples
Find the slope of a line perpendicular to the line whose equation is $3 x+y=8$ . Fully simplify your answer.
Answer Attempt 1 out of 2

Question Show Examples
Find the slope of a line perpendicular to the line whose equation is $x-2 y=-8$ . Fully simplify your answer.
Answer Attempt 1 out of 2

Question Show Examples
What is the slope of the line that passes through the points $(9,4)$ and $(3,9)$ ? Write your answer in simplest form.
Answer Attempt 1 out of 2

Question What is the slope of the line that passes through the points $(8,-8)$ and $(5,-12)$ ? Write your answer in simplest form.

Question Show Examples
What is the equation of the line that passes through the point $(-3,-6)$ and has a slope of $-\frac{2}{3}$ ?
Answer Attempt 1 out of 2

Simplify each expression.
1. $9 y+4.1-6 y$
2. $-3 x+5+7 x$
3. $8 x+13-3 x+9 \frac{1}{2}$
4. $y^{2}+3 y^{2}$
5. $4 x+15-3 x+10$
6. $-10 x+2 x+8 x$

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

USING TOOLS Use technology to solve the system of linear equations. $\begin{array}{l} -7 x+6 y=0 \\ 0.5 x+y=2 \end{array}$
The solution is: ( $\square$ , $\square$

$\begin{array}{l}-7 x+6 y=0 \\ 0.5 x+y=2\end{array}$

Show Examples
Question What is the equation of the line that passes through the point $(-6,-3)$ and has a slope of $-\frac{1}{6}$ ?
Answer Attempt 1 out of 2

Show Examples
Question What is the equation of the line that passes through the point $(6,2)$ and has a slope of $\frac{1}{3}$ ?

Question Watch Video Show Examples
What is an equation of the line that passes through the point $(5,-3)$ and is parallel to the line $4 x+5 y=15$ ?

Which equation represents a line which is parallel to the line $y=2 x-5$ ?
Answer $2 x+y=8$ $y-2 x=-8$ $x+2 y=-4$ $x-2 y=6$

Solve for $b$ . $4 \geq \frac{b}{6}$

Salve foit 1 $\text { is) } 10=101+16$
While yous answer wilh if firs, followed by an inequality symbol,

Solve for $r$ . $17+7 r \leq 3 r-3$
Write your answer with $r$ first, followed by an inequality symbol.

$\begin{array}{l} y<-4 x+6 \\ y>\frac{1}{4} x+4 \end{array}$
Answer $(3,9)$ $(-2,-4)$ (9.5) $(-7.9)$ DeltaMath - Googl...

Find the $x$ - and $y$ -intercepts of the graph of the linear equation $3 x+6 y=24$ .
The $x$ -intercept is $\square$ $\square$ .
The $y$ -intercept is $\square$ $\square$ .

Solve. $\begin{array}{l} x=1 \\ 9 x-2 y=3 \end{array}$

$\begin{array}{l}-6 x+3 y=-15 \\ y=-7\end{array}$

c. $2-(y+2)=3 y$

Question Write the equation of the line that passes through the points $(4,7)$ and $(5,-7)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Troy has $p$ peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. $\square$ Submit

$\begin{array}{l}y=5 x+1 \\ y=-2 x-8\end{array}$

$\begin{array}{l}20 x-5 y=5 \\ 4 x-y=1\end{array}$

Select all the true statements. A. The slope of $m$ is $-\frac{2}{5}$ . B. The slope of $q$ is $-\frac{5}{2}$ . C. The slope of $n$ is $\frac{2}{5}$ . D. The slope of $p$ is $-\frac{5}{2}$ . E. The slope of $p$ is the negative reciprocal of the slope of $q$ .

$5 x-2(x-2)=1-9+5 x+7$

(22) Solve the following linear Diophantine equations: (i) $56 x+72 y=40$ . (ii) $221 x+91 y=117$ . (iii) $2378 x+1769 y=214$ . (iv) $242 x+338 y=18$ .

Which equation is correctly rewritten to solve for $y$ ? $12 y+d=-19 y+t$ A. $y=31(t-d)$ B. $y=\frac{t-d}{31}$ C. $y=\frac{t+d}{-7}$ D. $y=-7(t+d)$

$\begin{array}{l}\text { 5) } x+6 y=-6 \\ 2 x+7 y=-12\end{array}$

For babysitting, Nicole charges a flat fee of $\$ 3$ , plus $\$ 5$ per hour. Write an equation for the cost, C , after $h$ hours of babysitting.

Kinora
Shen is walking. The number of minutes he has walked varies directly with the number of calories he has burned. See the graph below. (a) How many minutes does Shen walk per calorie burned? $\square$ minute(s) (b) What is the slope of the graph?

2) $8(x+2)$ when $x=6$

7. Write and solve an equation for the model shown below.
Equation: $\qquad$ Solution: $\qquad$