Linearity

Problem 2601

:24 PM Fri Nov 22 AA ixl.com MyOpenMath Haese Mathematics IXL - Graph solution... A) sites-aeropostale-S... Coachella Valley Mu... Coache Algebra 2 C. 4 Graph solutions to linear inequalities 2 H 4
Solve the inequality and graph the solution. $2(r-5)-1<-3$
Plot the endpoints. Select an endpoint to change it from closed to open. Select the the segment, ray, or line to delete it. Submit

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Problem 2602

Select the correct answer from each drop-down menu.
Desiree is given an aptitude test with 50 multiple-choice questions. For every correct answer, Desiree will get 3 points. For every wrong answer, 1 point will be deducted. For every question unanswered, 0.5 point is deducted. Desiree did not leave any question unanswered and gets 110 points on the test.
If $x$ is the number of questions Desiree answered correctly, then the equation that represents the given situation is the equation will have $\square$

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Problem 2603

A linear function is given. Complete parts (a)-(d). $h(x)=4 x+2$ (a) Determine the slope and $y$ -intercept of the function.
The slope is $\square$ (Type an integer or a simplified fraction.)

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Problem 2604

The slope of the line in the graph is $\square$ The $y$ -intercept is $\square$ The equation of the line is $y=$ $\square$ $x$ $\square$ ].

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Problem 2605

Select the correct answer. Hamish and Harry work as plumbers. Harry earns a dollar more than $\frac{5}{4}$ the amount Hamish earns per hour. The amount Harry earns per hour is $\$ 2$ less than $\frac{7}{5}$ the amount Hamish earns per hour. How much does each of them earn per hour? A. Hamish eams $\$ 18$ per hour, and Harry earns $\$ 23$ per hour. B. Hamish earns $\$ 19$ per hour, and Harry earns $\$ 24$ per hour. C. Hamish eams $\$ 21$ per hour, and Harry earns $\$ 25$ per hour. D. Hamish earns $\$ 20$ per hour, and Harry earns $\$ 26$ per hour.

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Problem 2606

Select the correct answer.
Kevin has $\$ 4.85$ in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether? A. 74 coins B. 75 coins C. 76 coins D. 77 coins

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Problem 2607

Station 4:
1. $x+4 y=2,3 y+x=10$ 2. $\begin{array}{l} (3 y+x)-(x+4 y)=10-2 \\ 3 y+x-x-4 y=8 \\ y=-8 \\ x+4(-8)=2 \\ x-32=2 \\ x=34 \end{array}$

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Problem 2608

Select the correct equations.
Phil's age is 7 years more than $\frac{1}{6}$ times Peter's age. Also, 4 times Phil's age is 2 years less than twice Peter's age. If $x$ is Peter's age in $y$ identify the equation that represents this situation and identify the solution to the equation. $\frac{4}{5} x+7=2 x+2$ $x=25$ $4\left(\frac{1}{5} x+7\right)=2 x-2$ $4\left(\frac{1}{5} x-7\right)=2 x-2$ $x=28$ $x=30$

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Problem 2609

A linear function is given. Complete parts (a)-(d). $h(x)=4 x+2$ (a) Determine the slope and $y$ -intercept of the function.
The slope is 4 . (Type an integer or a simplified fraction.) The $y$ -intercept is (Type an integer or a simplified fraction.)

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Problem 2610

Select the correct answer.
The equation of a line is $y=-3 x-2$ . What are the slope and the $y$ -intercept of the line? A. slope $=-3$ and $y$ -intercept $=2$ B. slope $=3$ and $y$ -intercept $=-2$ C. slope $=3$ and $y$ -intercept $=2$ D. slope $=-3$ and $y$ -intercept $=-2$

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Problem 2611

Simplify by first removing the parentheses and then combi $2-1 x$

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Problem 2612

17
Select all the correct answers.
Which equations have a lower unit rate than the rate represented in this table? \begin{tabular}{|r|r|} \hline $x$ & $y$ \\ \hline 6 & 2 \\ \hline 12 & 4 \\ \hline 18 & 6 \\ \hline \end{tabular} $y=\frac{3}{11} x$ $y=\frac{2}{6} x$ $y=\frac{9}{23} x$ $y=\frac{4}{13} x$ $y=\frac{3}{8} x$

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Problem 2613

A linear function is given. Complete parts (a)-(d). $h(x)=4 x+2$ (a) Determine the slope and $y$ -intercept of the function.
The slope is 4 . (Type an integer or a simplified fraction.) The $y$ -intercept is 2 . (Type an integer or a simplified fraction.) (b) Use the slope and $y$ -intercept to graph the linear function.
Use the graphing tool to graph the function. Use the slope and y-intercept when drawing the line. $\square$ (c) Determine the average rate of change of the function.
The average rate of change is $\square$

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Problem 2614

18
Select the correct answer from the drop-down menu.
In a two-digit number, the tens digit is twice the ones digit. The difference of the ones digit and half the tens digit is 0 . An equation created to find the digit in the ones place will have $\square$

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Problem 2615

A linear function is given. Complete parts (a)-(d). $h(x)=\frac{1}{2} x-6$ (a) Determine the slope and $y$ -intercept of the function.
The slope is $\square$ (Type an integer or a simplified fraction.)

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Problem 2616

12. [-/1 Points]
DETAILS MY NOTES EWENMATH12 5.2.050. Simplify by first removing the parentheses and then combining the like terms. $(2 x+4)-(x-6)$ $\square$ Need Help? Read It

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Problem 2617

19
Select the correct answer.
Which equation has no solution? A. $24 x+32-2.1 x=20.9 x+30+x+2$ B. $24 x+32-2.1 x=20.9 x+30+x-2$ C. $24 x+32-2 x=20.9 x+30+x-2$ D. $24 x+32=20.9 x+30$

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Problem 2618

A linear function is given. Complete parts (a)-(d). $h(x)=\frac{1}{2} x-6$ (a) Determine the slope and $y$ -intercept of the function.
The slope is $\frac{1}{2}$ . (Type an integer or a simplified fraction.) The $y$ -intercept is $\square$ . (Type an integer or a simplified fraction.)

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Problem 2619

The tape diagram represents an equation. \begin{tabular}{|l|l|l|l|l|l|} \hline $t$ & $t$ & $t$ & $t$ & $t$ & $t$ \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \end{tabular}
Write an equation to represent the image. $\square$

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Problem 2620

A linear function is given. Complete parts (a)-(d). $h(x)=\frac{1}{2} x-6$
The slope is $\frac{1}{2}$ . (Type an integer or a simplified fraction.) The $y$ -intercept is -6 . (Type an integer or a simplified fraction.) (b) Use the slope and $y$ -intercept to graph the linear function.
Use the graphing tool to graph the function. Use the slope and $y$ -intercept when drawing the line. $\square$ (c) Determine the average rate of change of the function.
The average rate of change is $\frac{1}{2}$ . (Type an integer or a fraction.) (d) Determine whether the linear function is increasing, decreasing, or constant. Choose the correct answer below. A. decreasing B. constant C. increasing

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Problem 2621

Determine whether the given function is linear or nonlinear. If it is linear, determine the slope. \begin{tabular}{|rr|} \hline $\mathbf{x}$ & $\mathbf{y = f}(\mathbf{x})$ \\ \hline 0 & -4 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 3 \\ \hline \end{tabular}
Is the function a linear function? Yes No

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Problem 2622

The tape diagram represents an equation.
Write an equation to represent the tape diagram.

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Problem 2623

Suppose that $f(x)=6 x-1$ and $g(x)=-3 x+8$ (a) Solve $f(x)=0$ . (b) Solve $f(x)>0$ . (c) Solve $f(x)=g(x)$ . (d) Solve $f(x) \leq g(x)$ . (e) Graph $y=f(x)$ and $y=g(x)$ and find the point that represents the solution to the equation $f(x)=g(x)$ . (a) For what value of $x$ does $f(x)=0$ ? $x=\square$ (Type an integer or a simplified fraction.)

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Problem 2624

Simple Interest - Item 20508
You want to put $\$ 2,000$ in a simple interest account. It has a $2.5 \%$ annual interest rate. How long will it take you to earn $\$ 500$ in interest? CleAR CHECK
1 year 6.25 years
10 years 25 years

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Problem 2625

Suppose that $f(x)=6 x-1$ and $g(x)=-3 x+8$ (a) Solve $f(x)=0$ . (c) Solve $f(x)=g(x)$ . (b) Solve $f(x)>0$ . (e) Graph $y=f(x)$ and $y=g(x)$ and find the point that represents the solution to the equation $f(x)=g(x)$ . (a) For what value of $x$ does $f(x)=0$ ? $x=\frac{1}{6}$ (Type an integer or a simplified fraction.) (b) For which values of $x$ is $f(x)>0$ ? $\square$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

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Problem 2626

2 D. 3 Write the equation of a linear function Video
A line passes through the points $(-1,6)$ and $(1,-6)$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

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Problem 2627

The tape diagram represents an equation. \begin{tabular}{|c|c|} \hline \multicolumn{1}{|c|}{} \\ \hline 5 \\ \hline 5 & $b$ \\ \hline \end{tabular}
Write an equation to represent the image. $\square$

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Problem 2628

Suppose that $f(x)=6 x-1$ and $g(x)=-3 x+8$ (a) Solve $f(x)=0$ . (b) Solve $f(x)>0$ . (c) Solve $f(x)=g(x)$ . (d) Solve $f(x) \leq g(x)$ . (e) Graph $y=f(x)$ and $y=g(x)$ and find the point that represents the solution to the equation $f(x)=g(x)$ . (a) For what value of $x$ does $f(x)=0$ ? $x=\frac{1}{6}$ (Type an integer or a simplified fraction.) (b) For which values of x is $\mathrm{f}(\mathrm{x})>0$ ? $\left(\frac{1}{6}, \infty\right)$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) (c) For what value of $x$ does $f(x)=g(x)$ ? $x=1$ (Type an integer or a simplified fraction.) (d) For which values of $x$ is $f(x) \leq g(x)$ ? $\square$ (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

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Problem 2629

The product of two numbers is 50 less than one of its factors. What could the factors be?
A 5 and -10 B $\quad-2$ and 25 C 2 and 50 D 5 and -9

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Problem 2630

$\frac{1}{2}$ $E=\frac{1}{2} F$ $\frac{1}{2} F$ $\frac{1}{2} \times E \times F$ $E=\frac{1}{2}=F$ \begin{tabular}{|c|c|} \hline Description & Can be modeled by ... \\ \hline \begin{tabular}{c} Eliza has half the number of books \\ that Fred has. \end{tabular} & \begin{tabular}{c} DRAG AND DROP \\ AN ITEM HERE \end{tabular} \\ \hline \begin{tabular}{c} Half the number of books that Fred \\ has \end{tabular} & DRAG AND DROP \\ \hline \end{tabular}

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Problem 2631

\begin{tabular}{|l|c|c|} \hline Time Line & Price(dollars) & Average rate of change \\ \hline 1970 & $\$ 0.20$ & $X X X X X X X X X X X X X$ \\ \hline 1980 & $\$ 0.50$ & 0.03 \\ \hline 2003 & $\$ 2.00$ & 0.0652 \\ \hline 2009 & $\$ 2.25$ & 0.0417 \\ \hline 2013 & $\$ 2.50$ & 0.0625 \\ \hline 2015 & $\$ 2.75$ & 0.125 \\ \hline \end{tabular}
Do these values suggest a linear trend? Explain. The average rates of change do not suggest a linear because their is no direct relation independent variable (time in years) and the dependent variable (cost in dollars).
Step 5: Linear Modeling (6 pts)
Assuming that the trend is linear, generate a linear model. To make the calculation easier, rescale the time values for 2009 through 2015 in the above table.
Let 2009 be the year 0 . \begin{tabular}{|c|c|} \hline t & P ( dollars) \\ \hline 0 & \\ \hline & \\ \hline & \\ \hline \end{tabular}

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Problem 2632

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

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Problem 2633

$\left\{\begin{array}{l}x-3 y=7 \\ 2 x-6 y=12\end{array}\right.$

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Problem 2634

How much should Adam deposit to earn \$100 interest in 4 years at a 5% simple interest rate? A) \$400 B) \$500 C) \$1,500 D) \$2,000

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Problem 2635

Jodi owes \$30 in interest after 3 years at 5\% simple interest. How much did she originally borrow? A) \$150 B) \$200 C) \$220 D) \$300

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Problem 2636

Lily paid off a \$400 loan with \$60 interest at a 5% rate. How many years was the loan? A) 2 B) 3 C) 4.5 D) 5

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Problem 2637

There were 50 fewer male than female lambs. If $\frac{9}{20}$ were male, how many lambs were born?

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Problem 2638

Find $x$ if $M G=7 x-15$ and $F G=33$ .

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Problem 2639

Lynn has 20 cent and 50 cent coins. There are 5 more 20 cent coins than 50 cent coins, totaling \$5.90. How many 50 cent coins?

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Problem 2640

Bruce has 6 times more 10 cent stamps than 5 cent stamps, totaling 72 stamps worth \$8.40. Find the quantity of each type.

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Problem 2641

If $3N - 1 = 14$ , find 8 more than twice $N$ . Options: (A) 13 (B) 12 (C) 18 (D) 15 (E) 14

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Problem 2642

Identify the linear function from these equations: $f(x)=\frac{3 x+2}{4}$ , $f(x)=\sqrt{x+2}$ , $f(x)=2 x^{2 x-3}$ , $f(x)=\frac{3 x-3}{x^{2}}$ .

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Problem 2643

Find how many tickets of each type were sold if $35x + 55y = 4325$ and $x + y = 95$ .

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Problem 2644

Identify the linear function among these equations: $f(x)=5-\frac{3}{x}$ , $f(x)=3x-\frac{2}{5}$ , $f(x)=4x-\frac{5}{2x}$ , $f(x)=|x-4+3|$ .

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Problem 2645

Find the rate of change, in dollars per month, of the bank account balance represented by $-50x + 100$ .

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Problem 2646

What does the expression $150 x - 4.99 x$ represent in an account with an initial balance of \$1200?

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Problem 2647

What expression shows the tax paid on a bicycle with final price $0.09 x+(x-30)$ before tax?

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Problem 2648

Simplify the expression: $-4 x + 10 - (-3) + 2 x$ .

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Problem 2649

Simplify the expression: $6-2(x+7)$ .

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Problem 2650

Simplify the expression: $-4 x + 10 - (-3) + 2 x$ .

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Problem 2651

A car traveling at $24 \mathrm{~ms}^{-1}$ stops after $19.2 \mathrm{~m}$ . Find the average acceleration during braking.

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Problem 2652

Solve the system: 5x - 4y = -24 and -7x - 5y = 23.

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Problem 2653

Aircraft A flies East at $340 \mathrm{kt}$ , while Aircraft B is $210 \mathrm{NM}$ ahead at $280 \mathrm{kt}$ . Find the distance B travels when A catches up.

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Problem 2654

Lisa starts with \ $550 in her savings and adds \$40 weekly. Write the equation for total savings$ S $after$ W $weeks and find$ S$ after 19 weeks. Total amount after 19 weeks: \$\square

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Problem 2655

Solve this system: $\frac{1}{6} x - \frac{1}{3} y = -8$ and $\frac{1}{2} x + \frac{2}{5} y = 4$ . Find $x$ and $y$ .

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Problem 2656

Solve the inequality: $3u - 5 < 7$ or $4u + 3 \leq -17$ . Provide the solution in interval notation or $\varnothing$ .

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Problem 2657

A hamburger shop sold 291 total burgers, with cheeseburgers being twice the hamburgers. Find the number of hamburgers sold.

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Problem 2658

Carmen had \$ 20 on her card, bought ribbon at \$ 0.21 per yard, and had \$ 13.07 left. How many yards did she buy?

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Problem 2659

Find the slope-intercept form of the line through $(-8,-1)$ with slope $-\frac{3}{2}$ .

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Problem 2660

Find the slope-intercept form of the line with slope -8 and $y$ -intercept 7.

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Problem 2661

What is the new function equation after shifting $f(x)=x$ up 6 units? A. $g(x)=\frac{1}{6} x$ B. $g(x)=6 x$ C. $g(x)=x-6$ D. $g(x)=x+6$

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Problem 2662

One-half of the difference between $a$ and $b$ equals 54.

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Problem 2663

Solve for $d$ : 3 times the sum of $d$ and 4 equals 32.

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Problem 2664

Lou weighs 160 pounds and wants to weigh 150. If $p$ is the pounds to lose, write an equation: $160 - p = 150$ .

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Problem 2665

Simplify the expression by combining like terms: $-6x - 12 + 8y + 16x$ .

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Problem 2666

Simplify: $10x - 12y + 8 + 12y$ .

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Problem 2667

Translate the equation $4a - 5 = 23$ into a complete sentence.

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Problem 2668

Translate the equation $3(g+h)=12$ into a sentence.

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Problem 2669

Half of the difference between $a$ and $b$ equals 54.

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Problem 2670

Chee's taxi cost is $y=1.3x+5$ . What does $y$ mean when $x=1$ ?

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Problem 2671

Find the chirp count $c$ when the temperature $T=90$ using the formula $T=30+0.28c$ . What does $c$ represent?

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Problem 2672

Solve for $c$ in the equation $89=8 c+25$ .

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Problem 2673

Solve for $y$ in the equation $6 y - 29 = -35$ .

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Problem 2674

Solve the equation $2(2y - 1) = 38$ .

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Problem 2675

Solve for $z$ in the equation: $3(2 z-10)=30$ .

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Problem 2676

Solve the equation $9(y-8)=18$ for $y$ .

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Problem 2677

Solve the equation: $8(z-4)=-8$ .

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Problem 2678

Solve the equation: $\frac{2}{3} x - 8 = 4$

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Problem 2679

Lilli bought colorful socks for \ $5.50 each. Find total cost$ c $for$ p $pairs:$ c = 5.50p$. Fill in costs for 1-3 pairs.

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Problem 2680

You can spend at most \$34 on your cell phone bill. If your plan is \$29.99/month and \$0.13 per text, how many texts can you send/receive?

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Problem 2681

Jannah has 38.8 lbs of cans and collects 1.7 lbs/week. Write the equation $y = mx + b$ for her recycling progress.

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Problem 2682

Find the line equation $y=m x+b$ with slope $m=1$ through point (1,6) and identify the $y$ -intercept.

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Problem 2683

Convert miles to kilometers using the equation $y = 1.61x$ . Find $y$ when $x = 15$ .

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Problem 2684

Write an equation to convert miles ( $x$ ) to kilometers ( $y$ ) using the fact that 1 mile is about 1.61 km.

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Problem 2685

If two non-vertical lines have equal slopes, what can be said about them? A. negative reciprocals B. opposite C. proportional D. equal E. reciprocals

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Problem 2686

Find the line equation through $(8,1)$ parallel to $y=-\frac{1}{4} x-3$ . Options: A, B, C, D, E.

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Problem 2687

Simplify the expression: $3x + 2(x - 5)$ .

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Problem 2688

Simplify the following expressions:
1. $(6 r+7)+(13+7 r)$
2. $\left(7 r-\frac{3}{2}\right)-\left(\frac{2}{3}+6 r\right)$
3. $\left(13-\frac{3}{2} r\right)-(1-r)$
4. $(-8-r)+(2 r-4)$

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Problem 2689

Evaluate $4(2-3 x)$ when $x=-2$ .

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Problem 2690

Solve the inequality: $\frac{3(2 x+2)}{6}>\frac{1}{3} x+2$ .

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Problem 2691

Find the value of $n$ that satisfies the equation: $6 \times 7 \times n = 42$ .

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Problem 2692

Solve the equations: $4x + 2y = 9$ and $2x - 4y = 9$ .

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Problem 2693

Solve the equation $6(n-4)=3n$ .

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Problem 2694

Solve for $y$ in the equation: $15 - y = 23 - 2y$ .

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Problem 2695

Solve for $c$ in the equation $F=\frac{9}{5} c+32$ .

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Problem 2696

Solve the equation: $14.4 = -2.7 y - 1.8$ . What is the value of $y$ ? Options: $4.\overline{6}, 6, -4.\overline{6}, -6$ .

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Problem 2697

Solve for $a$ , $b$ , $c$ , and $d$ in this magic square where each row, column, and diagonal sums to the same number.

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Problem 2698

Solve for $b$ in the equation: $-2 b + 2 - 3 b = 12$ .

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Problem 2699

Solve the inequality: $-9 + 6x > -(x + 2)$ .

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Problem 2700

Simplify the expression: $x + 2 + 5x - 4$ .

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1 ...24 25 26 27 28 29 30 ...39

Linearity

Problem 2601

Problem 2602

Problem 2603

A linear function is given. Complete parts (a)-(d). h(x)=4x+2h(x)=4 x+2h(x)=4x+2 (a) Determine the slope and yyy-intercept of the function.The slope is □\square□ (Type an integer or a simplified fraction.)

Problem 2604

The slope of the line in the graph is □\square□ The yyy-intercept is □\square□ The equation of the line is y=y=y= □\square□ xxx □\square□ ].

Problem 2605

Problem 2606

Select the correct answer.Kevin has $4.85\$ 4.85$4.85 in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether? A. 74 coins B. 75 coins C. 76 coins D. 77 coins

Problem 2607

Problem 2608

Problem 2609

A linear function is given. Complete parts (a)-(d). h(x)=4x+2h(x)=4 x+2h(x)=4x+2 (a) Determine the slope and yyy-intercept of the function.The slope is 4 . (Type an integer or a simplified fraction.) The yyy-intercept is (Type an integer or a simplified fraction.)

Problem 2610

Problem 2611

Simplify by first removing the parentheses and then combi 2−1x2-1 x2−1x

Problem 2612

Problem 2613

Problem 2614

18Select the correct answer from the drop-down menu.In a two-digit number, the tens digit is twice the ones digit. The difference of the ones digit and half the tens digit is 0 . An equation created to find the digit in the ones place will have □\square□

Problem 2615

A linear function is given. Complete parts (a)-(d). h(x)=12x−6h(x)=\frac{1}{2} x-6h(x)=21​x−6 (a) Determine the slope and yyy-intercept of the function.The slope is □\square□ (Type an integer or a simplified fraction.)

Problem 2616

12. [-/1 Points]DETAILS MY NOTES EWENMATH12 5.2.050. Simplify by first removing the parentheses and then combining the like terms. (2x+4)−(x−6)(2 x+4)-(x-6)(2x+4)−(x−6) □\square□ Need Help? Read It

Problem 2617

Problem 2618

Problem 2619

The tape diagram represents an equation. \begin{tabular}{|l|l|l|l|l|l|} \hlinettt & ttt & ttt & ttt & ttt & ttt \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \end{tabular}Write an equation to represent the image. □\square□

Problem 2620

Problem 2621

Determine whether the given function is linear or nonlinear. If it is linear, determine the slope. \begin{tabular}{|rr|} \hline x\mathbf{x}x & y=f(x)\mathbf{y = f}(\mathbf{x})y=f(x) \\ \hline 0 & -4 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 3 \\ \hline \end{tabular}Is the function a linear function? Yes No

Problem 2622

The tape diagram represents an equation.Write an equation to represent the tape diagram.

Problem 2623

Problem 2624

Simple Interest - Item 20508You want to put $2,000\$ 2,000$2,000 in a simple interest account. It has a 2.5%2.5 \%2.5% annual interest rate. How long will it take you to earn $500\$ 500$500 in interest? CleAR CHECK1 year 6.25 years10 years 25 years

Problem 2625

Problem 2626

2 D. 3 Write the equation of a linear function VideoA line passes through the points (−1,6)(-1,6)(−1,6) and (1,−6)(1,-6)(1,−6). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. □\square□ Submit

Problem 2627

The tape diagram represents an equation. \begin{tabular}{|c|c|} \hline \multicolumn{1}{|c|}{} \\ \hline 5 \\ \hline 5 & bbb \\ \hline \end{tabular}Write an equation to represent the image. □\square□

Problem 2628

Problem 2629

The product of two numbers is 50 less than one of its factors. What could the factors be?A 5 and -10 B −2\quad-2−2 and 25 C 2 and 50 D 5 and -9

Problem 2630

Problem 2631

Problem 2632

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

Problem 2633

{x−3y=72x−6y=12\left\{\begin{array}{l}x-3 y=7 \\ 2 x-6 y=12\end{array}\right.{x−3y=72x−6y=12​

Problem 2634

How much should Adam deposit to earn \$100 interest in 4 years at a 5% simple interest rate? A) \$400 B) \$500 C) \$1,500 D) \$2,000

Problem 2635

Jodi owes \$30 in interest after 3 years at 5\% simple interest. How much did she originally borrow? A) \$150 B) \$200 C) \$220 D) \$300

Problem 2636

Lily paid off a \$400 loan with \$60 interest at a 5% rate. How many years was the loan? A) 2 B) 3 C) 4.5 D) 5

Problem 2637

There were 50 fewer male than female lambs. If 920\frac{9}{20}209​ were male, how many lambs were born?

Problem 2638

Find xxx if MG=7x−15M G=7 x-15MG=7x−15 and FG=33F G=33FG=33.

Problem 2639

Lynn has 20 cent and 50 cent coins. There are 5 more 20 cent coins than 50 cent coins, totaling \$5.90. How many 50 cent coins?

Problem 2640

Bruce has 6 times more 10 cent stamps than 5 cent stamps, totaling 72 stamps worth \$8.40. Find the quantity of each type.

Problem 2641

If 3N−1=143N - 1 = 143N−1=14, find 8 more than twice NNN. Options: (A) 13 (B) 12 (C) 18 (D) 15 (E) 14

Problem 2642

Identify the linear function from these equations: f(x)=3x+24f(x)=\frac{3 x+2}{4}f(x)=43x+2​, f(x)=x+2f(x)=\sqrt{x+2}f(x)=x+2​, f(x)=2x2x−3f(x)=2 x^{2 x-3}f(x)=2x2x−3, f(x)=3x−3x2f(x)=\frac{3 x-3}{x^{2}}f(x)=x23x−3​.

Problem 2643

Find how many tickets of each type were sold if 35x+55y=432535x + 55y = 432535x+55y=4325 and x+y=95x + y = 95x+y=95.

Problem 2644

Identify the linear function among these equations: f(x)=5−3xf(x)=5-\frac{3}{x}f(x)=5−x3​, f(x)=3x−25f(x)=3x-\frac{2}{5}f(x)=3x−52​, f(x)=4x−52xf(x)=4x-\frac{5}{2x}f(x)=4x−2x5​, f(x)=∣x−4+3∣f(x)=|x-4+3|f(x)=∣x−4+3∣.

Problem 2645

Find the rate of change, in dollars per month, of the bank account balance represented by −50x+100-50x + 100−50x+100.

Problem 2646

What does the expression 150x−4.99x150 x - 4.99 x150x−4.99x represent in an account with an initial balance of \$1200?

Problem 2647

What expression shows the tax paid on a bicycle with final price 0.09x+(x−30)0.09 x+(x-30)0.09x+(x−30) before tax?

Problem 2648

A linear function is given. Complete parts (a)-(d). $h(x)=4 x+2$ (a) Determine the slope and $y$ -intercept of the function.
The slope is $\square$ (Type an integer or a simplified fraction.)

The slope of the line in the graph is $\square$ The $y$ -intercept is $\square$ The equation of the line is $y=$ $\square$ $x$ $\square$ ].

Select the correct answer.
Kevin has $\$ 4.85$ in nickels and dimes. If he has 34 fewer dimes than nickels, how many coins (nickels and dimes) does he have altogether? A. 74 coins B. 75 coins C. 76 coins D. 77 coins

A linear function is given. Complete parts (a)-(d). $h(x)=4 x+2$ (a) Determine the slope and $y$ -intercept of the function.
The slope is 4 . (Type an integer or a simplified fraction.) The $y$ -intercept is (Type an integer or a simplified fraction.)

Simplify by first removing the parentheses and then combi $2-1 x$

18
Select the correct answer from the drop-down menu.
In a two-digit number, the tens digit is twice the ones digit. The difference of the ones digit and half the tens digit is 0 . An equation created to find the digit in the ones place will have $\square$

A linear function is given. Complete parts (a)-(d). $h(x)=\frac{1}{2} x-6$ (a) Determine the slope and $y$ -intercept of the function.
The slope is $\square$ (Type an integer or a simplified fraction.)

12. [-/1 Points]
DETAILS MY NOTES EWENMATH12 5.2.050. Simplify by first removing the parentheses and then combining the like terms. $(2 x+4)-(x-6)$ $\square$ Need Help? Read It

The tape diagram represents an equation. \begin{tabular}{|l|l|l|l|l|l|} \hline $t$ & $t$ & $t$ & $t$ & $t$ & $t$ \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \end{tabular}
Write an equation to represent the image. $\square$

Determine whether the given function is linear or nonlinear. If it is linear, determine the slope. \begin{tabular}{|rr|} \hline $\mathbf{x}$ & $\mathbf{y = f}(\mathbf{x})$ \\ \hline 0 & -4 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 3 \\ \hline \end{tabular}
Is the function a linear function? Yes No

The tape diagram represents an equation.
Write an equation to represent the tape diagram.

Simple Interest - Item 20508
You want to put $\$ 2,000$ in a simple interest account. It has a $2.5 \%$ annual interest rate. How long will it take you to earn $\$ 500$ in interest? CleAR CHECK
1 year 6.25 years
10 years 25 years

2 D. 3 Write the equation of a linear function Video
A line passes through the points $(-1,6)$ and $(1,-6)$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ Submit

The tape diagram represents an equation. \begin{tabular}{|c|c|} \hline \multicolumn{1}{|c|}{} \\ \hline 5 \\ \hline 5 & $b$ \\ \hline \end{tabular}
Write an equation to represent the image. $\square$

The product of two numbers is 50 less than one of its factors. What could the factors be?
A 5 and -10 B $\quad-2$ and 25 C 2 and 50 D 5 and -9

$\left\{\begin{array}{l}x-3 y=7 \\ 2 x-6 y=12\end{array}\right.$

There were 50 fewer male than female lambs. If $\frac{9}{20}$ were male, how many lambs were born?

Find $x$ if $M G=7 x-15$ and $F G=33$ .

If $3N - 1 = 14$ , find 8 more than twice $N$ . Options: (A) 13 (B) 12 (C) 18 (D) 15 (E) 14

Identify the linear function from these equations: $f(x)=\frac{3 x+2}{4}$ , $f(x)=\sqrt{x+2}$ , $f(x)=2 x^{2 x-3}$ , $f(x)=\frac{3 x-3}{x^{2}}$ .

Find how many tickets of each type were sold if $35x + 55y = 4325$ and $x + y = 95$ .

Identify the linear function among these equations: $f(x)=5-\frac{3}{x}$ , $f(x)=3x-\frac{2}{5}$ , $f(x)=4x-\frac{5}{2x}$ , $f(x)=|x-4+3|$ .

Find the rate of change, in dollars per month, of the bank account balance represented by $-50x + 100$ .

What does the expression $150 x - 4.99 x$ represent in an account with an initial balance of \$1200?

What expression shows the tax paid on a bicycle with final price $0.09 x+(x-30)$ before tax?

Simplify the expression: $-4 x + 10 - (-3) + 2 x$ .

Simplify the expression: $6-2(x+7)$ .

Simplify the expression: $-4 x + 10 - (-3) + 2 x$ .

A car traveling at $24 \mathrm{~ms}^{-1}$ stops after $19.2 \mathrm{~m}$ . Find the average acceleration during braking.

Aircraft A flies East at $340 \mathrm{kt}$ , while Aircraft B is $210 \mathrm{NM}$ ahead at $280 \mathrm{kt}$ . Find the distance B travels when A catches up.

Solve this system: $\frac{1}{6} x - \frac{1}{3} y = -8$ and $\frac{1}{2} x + \frac{2}{5} y = 4$ . Find $x$ and $y$ .

Solve the inequality: $3u - 5 < 7$ or $4u + 3 \leq -17$ . Provide the solution in interval notation or $\varnothing$ .

Find the slope-intercept form of the line through $(-8,-1)$ with slope $-\frac{3}{2}$ .

Find the slope-intercept form of the line with slope -8 and $y$ -intercept 7.

What is the new function equation after shifting $f(x)=x$ up 6 units? A. $g(x)=\frac{1}{6} x$ B. $g(x)=6 x$ C. $g(x)=x-6$ D. $g(x)=x+6$

One-half of the difference between $a$ and $b$ equals 54.

Solve for $d$ : 3 times the sum of $d$ and 4 equals 32.

Lou weighs 160 pounds and wants to weigh 150. If $p$ is the pounds to lose, write an equation: $160 - p = 150$ .

Simplify the expression by combining like terms: $-6x - 12 + 8y + 16x$ .

Simplify: $10x - 12y + 8 + 12y$ .

Translate the equation $4a - 5 = 23$ into a complete sentence.

Translate the equation $3(g+h)=12$ into a sentence.

Half of the difference between $a$ and $b$ equals 54.

Chee's taxi cost is $y=1.3x+5$ . What does $y$ mean when $x=1$ ?

Find the chirp count $c$ when the temperature $T=90$ using the formula $T=30+0.28c$ . What does $c$ represent?

Solve for $c$ in the equation $89=8 c+25$ .

Solve for $y$ in the equation $6 y - 29 = -35$ .

Solve the equation $2(2y - 1) = 38$ .