Exam Center

AI-Generated Content

This exam was created by a large language model. Please use it with caution, as inaccuracies may be present. Always verify critical information.

What is the solution to the equation $3x - 7 = 11$ ?

Select one option

$x = 4$

$x = 6$

$x = \frac{4}{3}$

$x = \frac{18}{7}$

Which of the following graphs represents the inequality $x < -2$ ?

Select one option

A number line with an open circle at -2 and shading to the right.

A number line with a closed circle at -2 and shading to the left.

A number line with an open circle at -2 and shading to the left.

A number line with a closed circle at -2 and shading to the right.

When solving the equation $2(x+3) = 10$ , which operation should be performed first to isolate $x$ ?

Select one option

Add 3 to both sides

Subtract 3 from both sides

Divide both sides by 2

Multiply both sides by 2

If $x=5$ , what is the value of the expression $4x - 8$ ?

Select one option

What is the solution to the equation $-5x + 2 = 12$ ?

Select one option

$x = -2$

$x = 2$

$x = -10$

$x = 10$

In the function $y = 2x + 5$ , which variable represents the independent variable?

Select one option

$y$

$x$

$2$

$5$

What is the sum of the interior angles of any triangle?

Select one option

$90^\circ$

$180^\circ$

$270^\circ$

$360^\circ$

Which of the following pairs of angles are supplementary?

Select one option

Two angles that add up to $90^\circ$

Two angles that add up to $180^\circ$

Two angles that are congruent

Two angles that are adjacent

If a square has a side length of $s$ , what is its perimeter?

Select one option

$s^2$

$2s$

$4s$

Depends on the value of $s$

10.

A function is defined by the rule $y = x + 7$ . If the input ( $x$ ) is $3$ , what is the output ( $y$ )?

Select one option

11.

Solve the equation $4x + 9 = 25$ . Show your work.

12.

Solve the equation $2(y - 5) = 14$ . Show your work.

13.

Solve the equation $\frac{x}{3} - 6 = -2$ . Show your work.

14.

Solve the inequality $7 - 2x \ge 1$ . Then, describe how you would graph its solution on a number line.

15.

Solve the inequality $\frac{m}{4} + 3 < 5$ . Then, describe how you would graph its solution on a number line.

16.

Complete the table for the function $y = 3x - 1$ .

$x$	$y$
-1	(16a)
0	(16b)
1	(16c)
2	(16d)

17.

A rectangular garden has a length of 15 meters and a width of 8 meters. What is the area of the garden? Show your work and include units.

18.

A triangle has two angles measuring $55^\circ$ and $65^\circ$ . What is the measure of the third angle? Show your work.

19.

A concert ticket costs $15.50. You also pay a one-time booking fee of$ 2.50 for the entire order. If you paid a total of $95.50, how many tickets did you buy?

20.

You have a gift card with $75 on it. You want to buy a video game that costs$ 40. You also want to buy some used games that cost $8 each. What is the maximum number of used games you can buy?

21.

A plumber charges a service fee of $50 plus$ 60 per hour for labor. Write a function rule for the total cost $C$ in terms of hours worked $h$ . Then, calculate the total cost for a job that takes $3.5$ hours.

22.

A rectangular swimming pool has a perimeter of 84 feet. If the width of the pool is 18 feet, what is its length?

23.

Sarah bought 3 shirts and a pair of pants. The pants cost $35. If she spent a total of$ 80, what was the cost of one shirt?

24.

You have $20 to spend on snacks. If each snack costs$ 1.75, write an inequality that represents the maximum number of snacks ( $n$ ) you can buy. Then, solve the inequality.

25.

A car rental company charges a daily fee based on the number of miles driven. The cost $C$ (in dollars) is given by the function $C = 0.25m + 30$ , where $m$ is the number of miles driven. If a customer drove 150 miles, what was their total cost?