Linearity

Problem 1601

Solve the inequality for $v$ . $-3>-\frac{1}{3} v+2$
Simplify your answer as much as possible.

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Problem 1602

1) $-2(4 x-6)-(4 x-3) \leqslant-117$

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Problem 1603

The system of inequalities $y \geq-x-3$ and $y \geq 3 x$ is graphed in the $x y$ plane. Which of the following is a solution to the system?
Choose 1 answer: (A) $(-4,-2)$

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Problem 1604

$-\frac{1}{3}(6 y+6)+20=3 y$

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Problem 1605

$\frac{-8+x}{2}=10$

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Problem 1606

Watch Video
Solve the following inequality for $w$ . Write your answer in simplest form. $2 w-7 \geq-9 w-1$
Answer Attempt 1 out of 2 w $\square$ Submit Answer

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Problem 1607

Solve for $y$ . $5(y+3)=50$
Simplify your answer as much as possible. $y=$

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Problem 1608

Algebra 1314.A10, A11 \& A12 : REVIEW FOR TEST \#4 - counts as 2 grades Question
Use the Gauss-Jordan method to solve the following system of equations. For infinitely many solutions, give the solution with y arbitrary. $\begin{array}{l} x+y=5 \\ x-y=4 \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is one solution. The solution set is $\left\{\frac{9}{2}, \frac{1}{2}\right\}$ . (Simplify your answer. Type an ordered pair.) B. The system has infinitely many solutions. The solution set is $\{(\square, y)\}$ . (Simplify your answer. Type an ordered pair. Type an expression using y as the variable.) C. The system is inconsistent. The solution set is $\varnothing$ .

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Problem 1609

↓ O 0 Mail - Rodgers, Rayleigh-Out! x | Student Employment | Orienta x Cengage Learning W1330 HW20 - Lin Prog - 1330 A Content × | + 石 → Q G webassign.net/web/Student/Assignment-Responses/submit?dep=35129920&tags=autosave #question5491033_10 k All Bookmarks Enormous State University's Business School is buying computers. The school has two models from which to choose, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space; each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 48,000 GB of memory and at least 12,800 TB of disk space. If the Pomegranate and the iZac cost $3,000 each, how many of each should the school buy to keep the cost as low as possible? (If an answer does not exist, enter DNE.) Let x = number of Pomegranates, let y = number of iZacs, and let c = cost (in dollars). Determine the objective and the constraints needed to solve the problem. Objective minimize Constraints c = 3000x + 3000y 400x + 300y ≥ 48,000 80x + 100y ≥ 12,800 x≥ 0, y ≥0 Graph the feasible region and determine the coordinates of all corner points. smallest x-value (x, y) = 0,160 (x, y) = largest x-value (x, y) The minimum value of c occurs at which corner point? (x, y) = State the minimum value of c. C = How many of each model should the school buy to keep the cost as low as possible? Pomegranate iZac computers computers M 31 + 10 calcPac Operation Functions Symbols Relations Sets Vectors Trig Greek 0 Nov 19 10:28 Halp

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Problem 1610

Which operations are used in the expression $2 x-4$ ? Choose ALL that apply. addition subtraction multiplication division

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Problem 1611

Topic 4 Study Guide BOOKMARK CHECK ANSWER CAILYN JONES QUESTIONS
The graph and equation below represent the money accrued in a savings account over time. Use the information below to answer the questions. Item 1 $y=100+5 x$ Item 2 Item 3 Item 4 Item 5 Item 6 Item 7 Item 8 Item 9 Item 10 Item 11 Item 12 (b) What does the slope mean? Item 13

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Problem 1612

1. The length of a rectangle is 3 meters less than twice its width. The area of the rectangle is $104 \mathrm{~m}^{2}$ . Find the dimensions of the rectangle.

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Problem 1613

Write Which representation of equal expressions-tables, graphs, equations, or verbal descriptions-do you prefer? Explain why you a table, a graph, an equi prefer this representation and provide an example. verbal descriptip represent a $P$
Practice The Department of Transportation in each state is responsible for the improvements and repairs of that state's roads. One important job is to repaint the road lines that have worn away or faded. A painting crew is painting a 24 -mile stretch of road. They have already completed a total of 9.5 miles of the road. The crew has been painting at a rate of 0.25 mile per hour and continues to paint at the same rate.
1. Identify the two quantities that are changing in this situation, identify the independent and dependent quantities, and define the variables for these quantities. Then write an equation that relates the two quantities.
2. What is the unit rate of change in this situation? Explain.
3. How many total miles of the road will be completed if the crew works for another 2 hours?
4. How many more hours does the crew need to work to complete half of the job?
5. Complete the table and then construct a graph.
Quantities Units of Measure Variables \begin{tabular}{|c|c|} \hline \begin{tabular}{r} Independent \\ Quantity \end{tabular} & \begin{tabular}{c} Dependent \\ Quantity \end{tabular} \\ \hline 0 & \\ \hline 2 & \\ \hline 5 & \\ \hline 6.5 & \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}

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Problem 1614

Trey has $\$ 75$ in his savings account. Each month, he deposits \$25 into the account.
Let $m$ be the number of months. Write an expression to show the total amount deposited after $m$ months.
25m
Write an expression to show the total amount in Trey's savings account after m months.

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Problem 1615

DeltaMath Student Application p/student/3449922/25209521/a972bf3ebf2d2381bd7d4ed6c13726b0
Standard to Slope Intercept Form
Score: $2 / 5$ Penalty: 1 off
Question Watch Video Show Examples
Put the following equation of a line into slope-intercept form, simplifying all fractions. $4 x-3 y=9$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 1616

Question 2 (6points) $8 x+12>10 x+18$
Put the steps for solving this in the proper order $\begin{array}{l} 8 x+12-12>10 x+18-12 \\ 8 x-10 x>10 x-10 x+6 \\ -2 x>6 \\ \frac{-2}{-2} x<\frac{6}{-2} \\ 8 x>10 x+6 \end{array}$

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Problem 1617

Which linear equation has more solutions? One point. 3) $y=x-4$ or $y=10 x-40$

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Problem 1618

```latex \textbf{Practice Q\#2: Determine if the given scenarios are linear relations AND functions.}
\begin{enumerate} \item A campsite in a Provincial park charges \ $35 for the car + driver, then \$15 per additional person. \\ Linear$ (y / n) $: \qquad Function$ (y / n) : \qquad Reason: \item A population of fruit flies doubles every 12 hours. \\ Linear (y / n) $: \qquad Function$ (y / n) : \qquad Reason: \item Linear (y / n) $: \qquad y \\ Function$ (y / n) : \qquad Reason: \item \begin{tabular}{|c|c|c|c|c|} \hline s(\mathrm{~km} / \mathrm{h}) & 50 & 60 & 70 & 80 \\ \hline d(\mathrm{~m}) & 13 & 20 & 27 & 35 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|} \hline t(\min ) & 0 & 2 & 4 & 6 \\ \hline a(m)$ & 12000 & 11600 & 11200 & 10800 \\ \hline \end{tabular} \end{enumerate}
\textbf{Practice Q\#3: Determine the rate of change for each segment of Kat's ocean dive.}
\begin{tabular}{|c|c|} \hline Segment & Rate of Change \\ \hline OA & \\ \hline AB & \\ \hline BC & \\ \hline CD & \\ \hline DE & \\ \hline \end{tabular} ```

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Problem 1619

Question Watch Video Show Examples
What is the slope of the line that passes through the points $(10,4)$ and $(7,3)$ ? Write your answer in simplest form.

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Problem 1620

Solve the equation for $y$ . $\begin{array}{l} y-5 x=3 \\ y=\|] \end{array}$ $\square$
Basic 19 7 8 9

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Problem 1621

28. The perimeter of a rectangle is 152 meters. The width is 22 meters less tha the length. Find the length and width.

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Problem 1622

linear equations by substitution, Check your
5. $x+4 y=6$ $x-y=1$

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Problem 1623

What is the slope of line d? ¿Cuál es la pendiente de la recta d? -3 /
4
2 Fill in the Blank 1 point What is the $y$ - intercept of the graph in question 1? ¿Cuál es la intersección y de la gráfica de la pregunta 1?
3

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Problem 1624

52. A and B working together can finish painting a home in 6 days. A working alone, can finish it in five days less than B. How long will it take each of them alone to finish the work alone? A. 10,15 B. 15,20 C. 20,25 D. 5,10

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Problem 1625

56. A plane takes 1 and a half hour to fly from Los Angeles to San Francisco and 2 hours from San Francisco to Los Angeles. If the wind blows north on both trips at 24 mph , what is the speed of the plane in still air? A. 170 B. 110 C. 120 D. 150

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Problem 1626

Overview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)
Factorise fully the following: a) $2 x+10$ b) $5 x-15$ c) $8 x+6$ c) d) $12 x-8$ d)

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Problem 1627

Use the distributive property to remove the parentheses. $-(-4 y-2 w+2)$

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Problem 1628

Use algebra tiles to solve $-2 x-1=-13$ . $x=$ $\square$ Submit

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Problem 1629

Avery uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She wants to buy 10 kg more of dark chocolate than milk chocolate, and she needs 150 kg of chocolate in total for her next order.
Let $d$ be the number of kilograms of dark chocolate she buys and $m$ be the number of kilograms of milk chocolate she buys.
Which system of equations represents this situation?
Choose 1 answer: (A) $\left\{\begin{array}{l}m=d+10 \\ d+m=150\end{array}\right.$ (B) $\left\{\begin{array}{l}m=10 d \\ d+m=150\end{array}\right.$ (c) $\left\{\begin{array}{l}d=m+10 \\ d+m=150\end{array}\right.$ (D) $\left\{\begin{array}{l}d=10 m \\ d+m=150\end{array}\right.$

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Problem 1630

Factorize $x-1$

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Problem 1631

Members of a lacrosse team raised $\$ 1775.50$ to go to a tournament. They rented a bus for $\$ 901.50$ and budgeted $\$ 46$ per player for meals. Write and solve an equation which can be used to determine $x$ , the number of players the team can bring to the tournament.
Answer Attempt 1 out of 2
Equation: $\square$
Answer: $x=$ $\square$

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Problem 1632

Amina went to the flower shop and bought 2 roses and 5 daisies for 6 EGP. Lara bought from the same shop, 4 roses and 2 daisies for 4 EGP. How much should Ahmad pay to buy 2 roses and 2 daisies?

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Problem 1633

inis is the graph of a linear function.
What are the domain and the range of the function?
Domain: Range:

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Problem 1634

Reshma is making a necklace using green beads and purple beads in a ratio represented on the following double number line. Fill in the missing values on the diagram and then answer the following question.
If Reshma uses 20 green beads, how many purple beads will she use? $\square$ purple beads

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Problem 1635

Escribe la fórmula explicita en forma de función. Write the explicit formula in function form. $\begin{array}{l} a_{n}=5+0.2(n-1) \\ f(n)= \end{array}$
Parte B Cuál es el punto de corte con el eje y de la función? What is the $y$ -intercept of the function? $\square$ $\square$

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Problem 1636

2 \begin{tabular}{|c|c|} \hline \multicolumn{2}{|l|}{\begin{tabular}{l} obsenvala tabla \\ Consider the fable \end{tabular}} \\ \hline \multicolumn{2}{|c|}{Table N} \\ \hline $16$ & ( \\ \hline ( -2 & 10 \\ \hline -1 & 6 \\ \hline 0 & 4 \\ \hline 1 & 2 \\ \hline \end{tabular}
Explica por que la Table N no representa una función lineal Explain why Table $N$ does not represents a linear function. 星

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Problem 1637

4 plates and 3 cups cost 24.30 dollars. 5 plates and 4 cups cost 30.90 dollars. Each plate costs the same amount as the other plates, and each cup costs the same amount as the other cups. What is the cost of I plate? What is the cost of 1 cup?
Solve on paper. Then check your work on Zearn. न) 1 plate costs $\square$ dollars.
1 cup costs $\square$ dollars.

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Problem 1638

Solve for $a$ . $a+19 \geq 20$

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Problem 1639

Evaluate the expression when $x=-1, y=-6.1$ , and $z=11.6$ . $x-y+z$

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Problem 1640

Solve for $y$ . $-\frac{5}{9}=y-3$
Simplify your answer as much as possible.

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Problem 1641

Solve for $x$ . $\frac{3 x-2}{2}=-4$
Simplify your answer as much as possible.

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Problem 1642

Solve for $x$ . $\frac{x+48}{8}=5$
Simplify your answer as much as possible.

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Problem 1643

Graph the line. $y=4 x$

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Problem 1644

Find $f(-1), f(0)$ and $f(1)$ for the following function. $f(x)=-2 x$ $f(-1)=$ $\square$ $f(0)=$ $\square$ $f(1)=$ $\square$

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Problem 1645

5. Given $x=2 y+3$ and $2 x+y=11$ would $(5,-1)$ be a solution to the system? Justify your answer.

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Problem 1646

Given $g(x)=-3 x+4$ , find $g(1)$

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Problem 1647

Solve The Following Systems of Equations By Elimination: 1. $\begin{array}{l} x-2 y=-19 \\ 5 x+2 y=1 \end{array}$ 2. $\begin{array}{c} 3 x+4 y=18 \\ -2 x+4 y=8 \end{array}$ 3. $\begin{array}{c} 2 x+y=3 \\ -x+3 y=-12 \end{array}$
Word Problem
Roses cost $\$ 2.50$ each and daisies cost $\$ 1.75$ each. Sam spent $\$ 24.75$ to buy a dozen flowers for his mother. The bouquet contained both roses and daisies. Hov many of each type of flower where in the bouquet?

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Problem 1648

1) Determine if the ordered pair $(3,4)$ is a solution to the equation $6 x-4 y=6$ .
Find a point that does belong to this line. 2) Find the equation of the line that passes through the point $(6,4)$ and has a slope of 2.5. 3) Find the slopes and $y$ -intercepts for each of the following lines: (a) $2 x+5 y=23$ (b) $2 x-3 y-8=0$ 4) Find the slopes and $y$ -intercepts for each of the line that passes through the following two points: $P(0.6,-1.3) \text { and } Q(2.3,-2.4)$

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Problem 1649

Solve The Following Systems Of Equations By Substitution:
1. $y=x+5$ $4 x+y=20$
2. $\mathrm{y}-4 \mathrm{x}=3$ $2 x-3 y=21$ 3. $\begin{array}{c} x+2 y=-1 \\ 4 x-4 y=20 \end{array}$
Word Problem
Cathy wants to buy a gym membership. One gym has a $\$ 150$ joining fee and costs $\$ 35$ per month. Another gym has no joining fee and costs $\$ 60$ per month. a. In how many months will both gym memberships cost the same? What will that cost be? b. If Cathy plans to cancel in 5 months, which is the better option for her?

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Problem 1650

Firm Unt 3. Cesson t2)
2. Tyler is solving this system of equations: $\left\{\begin{array}{l}4 p+2 q=62 \\ 8 p-q=59\end{array}\right.$
They can think of two ways to eliminate a variable and solve the system: - Multiply $4 p+2 q=62$ by 2 , then subtract $8 p-q=59$ from the result. - Multiply $8 p-q=59$ by 2 , then add the result to $4 p+2 q=62$ .
Do both strategies work for solving the system? Explain or show your reasoning.

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Problem 1651

1) Determine if the ordered pair $(3,4)$ is a solution to the equation $6 x-4 y=6$ . Find a point that does belong to this line.

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Problem 1652

$P(n)$ , given below, is the price in dollars for $n$ grams of vitamins. $P(n)=0.25 n+5.2$
Complete the following statements.
Let $P^{-1}$ be the inverse function of $P$ . Take $x$ to be an output of the function $P$ . That is, $x=P(n)$ and $n=P^{-1}(x)$ . (a) Which statement best describes $P^{-1}(x)$ ? The amount of vitamins (in grams) for a price of $x$ dollars. The price (in dollars) for $x$ grams of vitamins. The ratio of the price (in dollars) to the number of grams, $x$ . The reciprocal of the price (in dollars) for $x$ grams of vitamins. (b) $P^{-1}(x)=\frac{x-5.2}{.25}$ (c) $P^{-1}(8.5)=$ $\square$

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Problem 1653

Solve for $w$ . $w+1<-5$

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Problem 1654

Which uses the GCF to generate an expression equivalent to $\frac{8}{3}-\frac{2}{3} x$ ? $\frac{1}{3}(4-3 x)$ $\frac{1}{3}(x-4)$ $\frac{2}{3}(4-x)$ $\frac{2}{3}(x-4)$

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Problem 1655

Solve and check the linear equation. $35-\frac{x}{5}=\frac{x}{2}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ \}. (Type an integer or a simplified fraction.) B. The solution set is $\{x \mid x$ is a real number $\}$ . C. The solution set is $\varnothing$ .

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Problem 1656

How do you know if an equation has one solution, no solution, or infinitely many solutions?
An equation that has one solution simplifies to $\square$ an equation that has no solution simplifies $\square$ and an equation that has fies to $\square$ a true statement, $\mathrm{x}=0,$ $x=a$ number, a false statement,

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Problem 1657

Use the five-step strategy for solving word problems to find the number described. When $30 \%$ of a number is added to the number, the result is 143 .
What is the number? $\square$

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Problem 1658

A rock climber is rappelling straight down a cliff. The table below shows the linear relationship between the time $x$ (in minutes) since the rock dimber began his descent and their height $y$ (In meters) above the ground. \begin{tabular}{|c|c|c|c|c|} \hline Time (minutes) & 0 & 1 & 2 & 3 \\ \hline Height (meters) & 20 & 18 & 16 & 14 \\ \hline \end{tabular}
Write a linear equation to represent the relationship between $x$ and $y$ .

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Problem 1659

For the following function, a) determine whether it is one-to-one; b) if it is one-to-one, find its inverse function. $f(x)=x+5$
Is the given function a one-to-one function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes, the function is one-to-one. The inverse function is $\mathrm{f}^{-1}(\mathrm{x})=$ $\square$ (Simplify your answer.) B. No, the the function is not one-to-one.

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Problem 1660

Question Watch Video
Colton works at an electronics store as a salesperson. Colton earns a $7 \%$ commission on dollar amount of all phone sales he makes, and earns a $3 \%$ commission on all computer Colton had twice as much in phone sales as he had in computer sales and earned a total in commission. Write a system of equations that could be used to determine the dollar of phone sales Colton made and the dollar amount of computer sales he made. Define $t$ variables that you use to write the system.

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Problem 1661

Use Gaussian elimination with backward substitution to solve the system of linear equations. Write the solution as $\begin{array}{rr} x+2 y+4 z= & 1 \\ -x+3 y+3 z= & -12 \\ x+y-5 z= & -12 \end{array}$
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is $(\square, \square, \square)$ . (Simplify your answers. Type integers or decimals.)

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Problem 1662

Solve the system of equations by graphing: $\left\{\begin{array}{l} -1 x+y-10=0 \\ +2 x+y+5=0 \end{array}\right.$
Answer: $(x, y)=$ $\square$ $\square$

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Problem 1663

The numbers in the table follow a linear pattern. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 13 \\ \hline 4 & 23 \\ \hline 6 & 33 \\ \hline 9 & 48 \\ \hline 12 & 63 \\ \hline 15 & $?$ \\ \hline \end{tabular}
What is the missing $y$ value? A 80 B 90 C 75 D 78

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Problem 1664

Use technology to find the solution of the following system. $\begin{aligned} 1.8 x-0.3 y+2.7 z & =4.89 \\ 3.3 x-5.6 y+7.5 z & =13.55 \\ 1.6 y+5.32 & =3.3 z-0.4 x \end{aligned}$
The solution set is $\square$ $\square$ $\square$ (Simplify your answers. Type integers or decimals.)

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Problem 1665

What is the slope of the line that passes through the points $(-2,6)$ and $(-12,2)$ Write your answer in simplest form.

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Problem 1666

2. The regular price of one timbit is 10 cents. During the holiday season, there are special holiday-themed timbits that cost 20 cents each. Ms. Zhao bought 27 timbits, and the total cost was \$3.30.
How many regular timbits and how many holiday-themed timbits did Ms. Zhao buy? Reg $=x$

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Problem 1667

$\checkmark$ Select an answer he how $m$
Infinitely many: All real numbers
No solution One solution $+33$
Select an answer $-6(-2 x+1)-5=12 x-10$

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Problem 1668

$-0.8+0.3(2-3 x)=1.4$

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Problem 1669

что означает запись $\overrightarrow{\mathrm{t}}=\mathrm{x} \overrightarrow{\mathrm{m}}+\mathrm{y} \overrightarrow{\mathrm{n}}$ ?
Выбери верный вариант ответа
Вектор $\overrightarrow{\mathrm{t}}$ разложен по векторам $\overrightarrow{\mathrm{m}} \overline{\mathrm{n}}$
Вектор $\overrightarrow{\mathrm{t}}$ разложен по векторам $\overrightarrow{\mathrm{x}} \mathrm{n} \overrightarrow{\mathrm{y}}$
Вектор $\overrightarrow{\mathrm{t}}$ представлен суммой векторов $\overrightarrow{\mathrm{m}}{ }_{n} \overrightarrow{\mathrm{n}}$

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Problem 1670

16.) H-E-B is selling large gala apples. Two pounds of apples cost $\$ 6.00$ , three pounds cost $\$ 9.00$ , and six pounds cost $\$ 36.00$ . Write an equation that could be used to find the cost of 12 pounds of large gala apples. $y=6 x$ $y=3 x+2$ $y=2 x+6$ $y=3 x$ 17.) Is the following table proportional or non-proportional? *

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Problem 1671

4. $0.8+0.3(2-3 x)=1.4$

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Problem 1672

Solve the system of equations by graphing: $\left\{\begin{array}{l} y=x+4 \\ y=-x+2 \end{array}\right.$

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Problem 1673

Video (D) 1)）汶， A line has a slope of $-\frac{3}{5}$ and passes through the point $(-13,8)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 1674

through the point $(-5,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 1675

1)) 它 $(1,1)$ and $(2,8)$ . Write its equation in slopeintercept form. 1)) Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 1676

Problem 3: Last season two running backs on the College football team rushed for a combined 1550 yards. One rushed 4 times as many yards as the other. How many yards did the player with the most yards rush? \begin{tabular}{|c|c|c|c|c|c|} \hline Answer & 310 & 640 & 930 & 1175 & 1240 \\ \hline Code & A & B & C & D & E \\ \hline \end{tabular} $\square$

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Problem 1677

$\begin{array}{l}-6 x+10 y=-26 \\ -9 x+7 y=25\end{array}$

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Problem 1678

$\frac{7 x-11}{4}=12$

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Problem 1679

3. What value of $x$ makes the following equation true? $-6(x-4)=60$

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Problem 1680

The sum of two numbers is 95 . The difference of the two numbers is 47 . What are the two numbers.
Let $x$ be the larger number and $y$ be the smaller number. Write an equation that expresses the information in the sentence "The sum of two numbers is 95." $\square$
Write an equation that expresses the information in the sentence "The difference of the two numbers is 47." $\square$

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Problem 1681

$4(3 x-1)+4=36$ A. $x=5$ B. $x=2$ C. $x=3$ D. $x=-3$

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Problem 1682

$\frac{\text { EQUAZIONE } 1 \text { GRADO }}{(\sqrt[(3-1)^{1} 2-x \hat{2}]{2}}$

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Problem 1683

The admission fee at an amusement park is $\$ 20$ for children and $\$ 35$ for adults. On a certain day, 296 people entered the park, and the admission fees collected totaled $\$ 8320$ . How many children and how many adults were admitted?
Your answer is number of children equals $\square$ number of adults equals $\square$

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Problem 1684

$\begin{array}{l}-5 x-25 y=-7) \\ (6 x+30 y=0)\end{array}$

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Problem 1685

1. The South Bowie Library and Oxon Hill Library are having a used book sale. The total cost, $y$ , is a function of the number of books, $x$ .
Which function has a greater constant rate of change? Explain. How much cheaper or more expensive is South Bowie Library than Oxon Hill Library? Explain.

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Problem 1686

Solve the given system of linear equations. Enter your answer as a point (or ordered pair of numbers) in the form of $(x, y)$ . $\begin{array}{l} -5 x+2 y=24 \\ -4 x-3 y=10 \end{array}$

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Problem 1687

$\begin{array}{l}3 x+y=-15 \\ -6 x-2 y=30\end{array}$

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Problem 1688

Solve the system. Give your answer as $(x, y, z)$ $\begin{array}{l} 3 x-4 y-4 z=-30 \\ -6 x-4 y+5 z=24 \\ 6 x+y+3 z=2 \end{array}$ $(x, y, z)=$

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Problem 1689

$\left\{\begin{array}{l}5 x+2 y=7 \\ 4 x+y=8\end{array}\right.$

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Problem 1690

Use the point-slope form to find the equation of a line with the properties given. Then write the equation in slope-intercept form. Slope $=5$ , through $(3,8)$
The equation in slope-intercept form is $\square$ (Type an equation.)

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Problem 1691

Solve. $0.808=\frac{3}{10}+b$
Enter your answer as a decimal in the box. $b=$

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Problem 1692

B The graph shows the cost of a pizza at two restaurants based on the number of toppings ordered. Use the graph to answer 4-6.
4. Write the equation of each line in slope-intercept form.
A: $\qquad$ B: $\qquad$
5. What is the solution to the system of equations? $\qquad$
6. What does the solution mean in the context of the situation?

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Problem 1693

Solve each system of equations.
1. $3 x+y=5$ and $2 x-y=0$
2. $4 x-3 y=1$ and $5 x-9 y=-4$

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Problem 1694

$\qquad$ Class: $\qquad$ Due Date: $\qquad$
9. Lupe's heart beats 288 times in 4 minutes. Which equation represents the number of times her heart beats per minute? A. $y=\frac{1}{288} x$ C. $y=72 x$ B. $y=\frac{1}{72} x$ D. $y=288 x$

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Problem 1695

Solve the following system of equations with the substitution method: $\left\{\begin{array}{l} x+y=18 \\ y=2 x \end{array}\right.$
Answer: $(x, y)=($ $\square$ $\square$ Preview $x$ : Preview $y$ :
Enter your answers as integers or as reduced fractions in the form A/B.

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Problem 1696

engines exert force a distance of $28 \times 10^{6} .2 \times 10^{5} \mathrm{~N}$ in the original direction of motion as the probe travels
3. A skater moves across the causes him to stop. His initial a distance of 12 m before a constant frictional force of 15 N [ans: 74 kg ]

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Problem 1697

The loan amount is a function of time and can be represented by the line of best fit $y=15,413-1,635 x$ , where $x$ is the number of years. How much is left on the loan after 9 years? (1 point)
The loan amount is $\$$ $\qquad$ after 9 years.

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Problem 1698

\#4 Evaluate the expression below when $m=15$ and $n=3$ $\begin{array}{l} 3 m+2 n \\ 3(15)+2(3) \end{array}$

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Problem 1699

Explain the process of finding the $x$ -intercept of a linear equation.
Describe how you would graph a linear function using its intercepts.
Why is it useful to know the intercepts of a linear function?

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Problem 1700

many acres of wheat as of corn. He has allocated $\$ 58,950$ for the cost of growing his crops. How many acres of each crop should he plant? com $\square$ acres wheat $\square$ acres soybeans $\qquad$ acres

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1 ...14 15 16 17 18 19 20 ...77

Linearity

Problem 1601

Solve the inequality for vvv. −3>−13v+2-3>-\frac{1}{3} v+2−3>−31​v+2Simplify your answer as much as possible.

Problem 1602

1) −2(4x−6)−(4x−3)⩽−117-2(4 x-6)-(4 x-3) \leqslant-117−2(4x−6)−(4x−3)⩽−117

Problem 1603

The system of inequalities y≥−x−3y \geq-x-3y≥−x−3 and y≥3xy \geq 3 xy≥3x is graphed in the xyx yxy plane. Which of the following is a solution to the system?Choose 1 answer: (A) (−4,−2)(-4,-2)(−4,−2)

Problem 1604

−13(6y+6)+20=3y-\frac{1}{3}(6 y+6)+20=3 y−31​(6y+6)+20=3y

Problem 1605

−8+x2=10\frac{-8+x}{2}=102−8+x​=10

Problem 1606

Watch VideoSolve the following inequality for www. Write your answer in simplest form. 2w−7≥−9w−12 w-7 \geq-9 w-12w−7≥−9w−1Answer Attempt 1 out of 2 w □\square□ Submit Answer

Problem 1607

Solve for yyy. 5(y+3)=505(y+3)=505(y+3)=50Simplify your answer as much as possible. y=y=y=

Problem 1608

Problem 1609

Problem 1610

Which operations are used in the expression 2x−42 x-42x−4 ? Choose ALL that apply. addition subtraction multiplication division

Problem 1611

Problem 1612

1. The length of a rectangle is 3 meters less than twice its width. The area of the rectangle is 104 m2104 \mathrm{~m}^{2}104 m2. Find the dimensions of the rectangle.

Problem 1613

Problem 1614

Trey has $75\$ 75$75 in his savings account. Each month, he deposits \$25 into the account.Let mmm be the number of months. Write an expression to show the total amount deposited after mmm months.25mWrite an expression to show the total amount in Trey's savings account after m months.

Problem 1615

Problem 1616

Problem 1617

Which linear equation has more solutions? One point. 3) y=x−4y=x-4y=x−4 or y=10x−40y=10 x-40y=10x−40

Problem 1618

Problem 1619

Question Watch Video Show ExamplesWhat is the slope of the line that passes through the points (10,4)(10,4)(10,4) and (7,3)(7,3)(7,3) ? Write your answer in simplest form.

Problem 1620

Solve the equation for yyy. y−5x=3y=∥]\begin{array}{l} y-5 x=3 \\ y=\|] \end{array}y−5x=3y=∥]​ □\square□Basic 19 7 8 9

Problem 1621

28. The perimeter of a rectangle is 152 meters. The width is 22 meters less tha the length. Find the length and width.

Problem 1622

linear equations by substitution, Check your5. x+4y=6x+4 y=6x+4y=6 x−y=1x-y=1x−y=1

Problem 1623

What is the slope of line d? ¿Cuál es la pendiente de la recta d? -3 /42 Fill in the Blank 1 point What is the yyy - intercept of the graph in question 1? ¿Cuál es la intersección y de la gráfica de la pregunta 1?3

Problem 1624

52. A and B working together can finish painting a home in 6 days. A working alone, can finish it in five days less than B. How long will it take each of them alone to finish the work alone? A. 10,15 B. 15,20 C. 20,25 D. 5,10

Problem 1625

56. A plane takes 1 and a half hour to fly from Los Angeles to San Francisco and 2 hours from San Francisco to Los Angeles. If the wind blows north on both trips at 24 mph , what is the speed of the plane in still air? A. 170 B. 110 C. 120 D. 150

Problem 1626

Overview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)Factorise fully the following: a) 2x+102 x+102x+10 b) 5x−155 x-155x−15 c) 8x+68 x+68x+6 c) d) 12x−812 x-812x−8 d)

Problem 1627

Use the distributive property to remove the parentheses. −(−4y−2w+2)-(-4 y-2 w+2)−(−4y−2w+2)

Problem 1628

Use algebra tiles to solve −2x−1=−13-2 x-1=-13−2x−1=−13. x=x=x= □\square□ Submit

Problem 1629

Problem 1630

Factorize x−1x-1x−1

Problem 1631

Problem 1632

Amina went to the flower shop and bought 2 roses and 5 daisies for 6 EGP. Lara bought from the same shop, 4 roses and 2 daisies for 4 EGP. How much should Ahmad pay to buy 2 roses and 2 daisies?

Problem 1633

inis is the graph of a linear function.What are the domain and the range of the function?Domain: Range:

Problem 1634

Reshma is making a necklace using green beads and purple beads in a ratio represented on the following double number line. Fill in the missing values on the diagram and then answer the following question.If Reshma uses 20 green beads, how many purple beads will she use? □\square□ purple beads

Problem 1635

Problem 1636

Problem 1637

Problem 1638

Solve for aaa. a+19≥20a+19 \geq 20a+19≥20

Problem 1639

Evaluate the expression when x=−1,y=−6.1x=-1, y=-6.1x=−1,y=−6.1, and z=11.6z=11.6z=11.6. x−y+zx-y+zx−y+z

Problem 1640

Solve for yyy. −59=y−3-\frac{5}{9}=y-3−95​=y−3Simplify your answer as much as possible.

Problem 1641

Solve for xxx. 3x−22=−4\frac{3 x-2}{2}=-423x−2​=−4Simplify your answer as much as possible.

Problem 1642

Solve for xxx. x+488=5\frac{x+48}{8}=58x+48​=5Simplify your answer as much as possible.

Problem 1643

Graph the line. y=4xy=4 xy=4x

Problem 1644

Find f(−1),f(0)f(-1), f(0)f(−1),f(0) and f(1)f(1)f(1) for the following function. f(x)=−2xf(x)=-2 xf(x)=−2x f(−1)=f(-1)=f(−1)= □\square□ f(0)=f(0)=f(0)= □\square□ f(1)=f(1)=f(1)= □\square□

Problem 1645

5. Given x=2y+3x=2 y+3x=2y+3 and 2x+y=112 x+y=112x+y=11 would (5,−1)(5,-1)(5,−1) be a solution to the system? Justify your answer.

Problem 1646

Solve the inequality for $v$ . $-3>-\frac{1}{3} v+2$
Simplify your answer as much as possible.

1) $-2(4 x-6)-(4 x-3) \leqslant-117$

The system of inequalities $y \geq-x-3$ and $y \geq 3 x$ is graphed in the $x y$ plane. Which of the following is a solution to the system?
Choose 1 answer: (A) $(-4,-2)$

$-\frac{1}{3}(6 y+6)+20=3 y$

$\frac{-8+x}{2}=10$

Watch Video
Solve the following inequality for $w$ . Write your answer in simplest form. $2 w-7 \geq-9 w-1$
Answer Attempt 1 out of 2 w $\square$ Submit Answer

Solve for $y$ . $5(y+3)=50$
Simplify your answer as much as possible. $y=$

Which operations are used in the expression $2 x-4$ ? Choose ALL that apply. addition subtraction multiplication division

1. The length of a rectangle is 3 meters less than twice its width. The area of the rectangle is $104 \mathrm{~m}^{2}$ . Find the dimensions of the rectangle.

Trey has $\$ 75$ in his savings account. Each month, he deposits \$25 into the account.
Let $m$ be the number of months. Write an expression to show the total amount deposited after $m$ months.
25m
Write an expression to show the total amount in Trey's savings account after m months.

Which linear equation has more solutions? One point. 3) $y=x-4$ or $y=10 x-40$

Question Watch Video Show Examples
What is the slope of the line that passes through the points $(10,4)$ and $(7,3)$ ? Write your answer in simplest form.

Solve the equation for $y$ . $\begin{array}{l} y-5 x=3 \\ y=\|] \end{array}$ $\square$
Basic 19 7 8 9

linear equations by substitution, Check your
5. $x+4 y=6$ $x-y=1$

What is the slope of line d? ¿Cuál es la pendiente de la recta d? -3 /
4
2 Fill in the Blank 1 point What is the $y$ - intercept of the graph in question 1? ¿Cuál es la intersección y de la gráfica de la pregunta 1?
3

Overview 1 2 3 4 5 6 7 8 9 10 Question Progress Classwork Progress 41 / 92 Marks a)
Factorise fully the following: a) $2 x+10$ b) $5 x-15$ c) $8 x+6$ c) d) $12 x-8$ d)

Use the distributive property to remove the parentheses. $-(-4 y-2 w+2)$

Use algebra tiles to solve $-2 x-1=-13$ . $x=$ $\square$ Submit

Factorize $x-1$

inis is the graph of a linear function.
What are the domain and the range of the function?
Domain: Range:

Reshma is making a necklace using green beads and purple beads in a ratio represented on the following double number line. Fill in the missing values on the diagram and then answer the following question.
If Reshma uses 20 green beads, how many purple beads will she use? $\square$ purple beads

Solve for $a$ . $a+19 \geq 20$

Evaluate the expression when $x=-1, y=-6.1$ , and $z=11.6$ . $x-y+z$

Solve for $y$ . $-\frac{5}{9}=y-3$
Simplify your answer as much as possible.

Solve for $x$ . $\frac{3 x-2}{2}=-4$
Simplify your answer as much as possible.

Solve for $x$ . $\frac{x+48}{8}=5$
Simplify your answer as much as possible.

Graph the line. $y=4 x$

Find $f(-1), f(0)$ and $f(1)$ for the following function. $f(x)=-2 x$ $f(-1)=$ $\square$ $f(0)=$ $\square$ $f(1)=$ $\square$

5. Given $x=2 y+3$ and $2 x+y=11$ would $(5,-1)$ be a solution to the system? Justify your answer.

Given $g(x)=-3 x+4$ , find $g(1)$

1) Determine if the ordered pair $(3,4)$ is a solution to the equation $6 x-4 y=6$ . Find a point that does belong to this line.

Solve for $w$ . $w+1<-5$

Which uses the GCF to generate an expression equivalent to $\frac{8}{3}-\frac{2}{3} x$ ? $\frac{1}{3}(4-3 x)$ $\frac{1}{3}(x-4)$ $\frac{2}{3}(4-x)$ $\frac{2}{3}(x-4)$

Use the five-step strategy for solving word problems to find the number described. When $30 \%$ of a number is added to the number, the result is 143 .
What is the number? $\square$

Solve the system of equations by graphing: $\left\{\begin{array}{l} -1 x+y-10=0 \\ +2 x+y+5=0 \end{array}\right.$
Answer: $(x, y)=$ $\square$ $\square$

The numbers in the table follow a linear pattern. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 13 \\ \hline 4 & 23 \\ \hline 6 & 33 \\ \hline 9 & 48 \\ \hline 12 & 63 \\ \hline 15 & $?$ \\ \hline \end{tabular}
What is the missing $y$ value? A 80 B 90 C 75 D 78

What is the slope of the line that passes through the points $(-2,6)$ and $(-12,2)$ Write your answer in simplest form.

2. The regular price of one timbit is 10 cents. During the holiday season, there are special holiday-themed timbits that cost 20 cents each. Ms. Zhao bought 27 timbits, and the total cost was \$3.30.
How many regular timbits and how many holiday-themed timbits did Ms. Zhao buy? Reg $=x$

$\checkmark$ Select an answer he how $m$
Infinitely many: All real numbers
No solution One solution $+33$
Select an answer $-6(-2 x+1)-5=12 x-10$

$-0.8+0.3(2-3 x)=1.4$

4. $0.8+0.3(2-3 x)=1.4$

Solve the system of equations by graphing: $\left\{\begin{array}{l} y=x+4 \\ y=-x+2 \end{array}\right.$

Video (D) 1)）汶， A line has a slope of $-\frac{3}{5}$ and passes through the point $(-13,8)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

through the point $(-5,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$