Quiz about Expressions, Equations & Inequalities

Question 1

Simplify the expression: -3(7 - 4x)

Accepted Answer

12x - 21

Answer

-21 - 12x

Answer

21 + 12x

Answer

-12x + 12

Question 2

Simplify the expression:

-5x + 12 - 16 - 2x + 4x

Accepted Answer

-3x - 4

Answer

-3x - 28

Answer

3x - 4

Answer

3x + 28

Question 3

Simplify the expression:

3(5x - 6) - 18x

Accepted Answer

-3x - 18

Answer

3x - 18

Answer

-3x + 18

Answer

3x - 18

Question 4

Select ALL the expressions that are equivalent to: -15x - 24

Accepted Answer

-20x - 10 + 2x - 14 + 3x

Accepted Answer

-3(8 + 5x)

Answer

-3(-5x + 7)

Answer

-10x + 5x + 20 - 4

Question 5

Solve for x:

7x + 3 = 17

Accepted Answer

x = 2

Answer

x = -3

Answer

x = 3

Answer

x = -2

Question 6

Solve for x:

Accepted Answer

x = -10

Answer

x = -2.5

Answer

x = 2.5

Answer

x = 10

Question 7

Solve for x:

-24 + 3x = 60

Accepted Answer

x = 28

Answer

x = -28

Answer

x = 12

Answer

x = -12

Question 8

Evaluate the equation:

Accepted Answer

x = 60

Answer

x = -60

Answer

x = 40

Answer

x = -40

Question 9

Solve the equation for x:

3(x - 9) = -45

Accepted Answer

x = -6

Answer

x = 24

Answer

x = 6

Answer

x = -24

Question 10

Solve the following for x:

3(7x + 4) - 10 = 44

Accepted Answer

x = 2

Answer

x = -2

Answer

x = 3

Answer

x = -3

Question 11

Solve the following equation for r:

4r - 6 + 3r = 22

Accepted Answer

x = 4

Answer

x = -3

Answer

x = 3

Answer

x = -4

Question 12

Solve the following equation for p:

-2(4x - 5) + 4(x + 4) = 58

Accepted Answer

x = -8

Answer

x = 21

Answer

x = -21

Answer

x = 8

Question 13

Audrey bought three sweaters that each cost the same amount and one skirt that cost $24. The items she bought cost a total of $61.50 before tax was added. What was the cost of each sweater?

Accepted Answer

$12.50 per sweater

Answer

$2.44 per sweater

Answer

$28.50 per sweater

Answer

$14 per sweater

Question 14

Write an equation that represents the following: "Nine less than four times a number equals 23."

Accepted Answer

4n - 9 = 23

Answer

4n + 9 + 23

Answer

9n - 4 = 23

Answer

-4n + 9 = 23

Question 15

Jackson went bowling last night. He paid $1.75 to rent shoes and $4 for each game bowled. If the total cost was $13.75, write an equation to determine the number of games Jackson bowled.

Accepted Answer

$4g + $1.75= $13.75

Answer

$1.75g + $4 = $13.75

Answer

$4g - $1.75= $13.75

Answer

$1.75g - $4 = $13.75

Question 16

Washington Middle School plans to collect more than 1500 cans of food in a food drive. So far, 725 cans have been collected. Write an inequality to find the number of cans the school must collect on each of the final 5 days of the drive to meet this goal.

Accepted Answer

$$5c\ +\ 725>\ 1500$$

Answer

$$5c\ -\ 725\ <\ 1500$$

Answer

$$5c\ +\ 725\ \ge\ 1500$$

Answer

$$5c\ +\ 725\ \le\ 1500$$

Question 17

Due to fire laws, no more than 640 people can attend a performance at City Auditorium. The balcony holds 100 people. There are 24 rows on the ground floor, each with the same number of seats. Write an inequality to determine the maximum number of people per row.

Accepted Answer

$$24s\ +\ 100\ \le\ 640$$

Answer

$$24s\ +\ 100\ \ge\ 640$$

Answer

$$100s\ +\ 24\ >\ 640$$

Answer

$$24s\ -\ 100\ \le640$$

Question 18

Solve the inequality for r:

$$3r\ +\ 4\ \ge\ 40$$

Accepted Answer

$$r\ \ge\ 12$$

Answer

$$r\ \ge\ 13$$

Answer

$$r\ >\ 12$$

Answer

$$r\ \ge\ -12$$

Question 19

Solve for m in the following inequality:

$$-6m\ +\ 12\ \ge\ -36$$

Accepted Answer

$$m\ \le\ 8$$

Answer

$$m\ \ge\ -8$$

Answer

$$m\ \le\ -8$$

Answer

$$m\ \ge\ 8$$

Question 20

Solve for y in the following inequality:

$$-11\ +\ 16y\ \ge\ 53$$

Accepted Answer

$$y\ \ge\ 4$$

Answer

$$y\ \ge\ -4$$

Answer

$$y\ \le\ 4$$

Answer

$$y\ \le\ -4$$

Question 21

Determine the number of solutions for the variable in the following equation:

7k - 8 - 4k + 2 = 3k - 6

Accepted Answer

infinitely many solutions

Answer

one solution

Answer

two solutions

Answer

no solution

Question 22

Determine the number of solutions for the variable in the following equation:

2x + 16 = 4x - 24

Accepted Answer

one solution

Answer

two solutions

Answer

infinitely many solutions

Answer

no solution

Question 23

Determine the number of solutions for the variable in the following equation:

-4w + 24 = -(4w - 24)

Accepted Answer

infinitely many solutions

Answer

one solution

Answer

two solutions

Answer

no solution

Question 24

Determine the number of solutions for the variable in the following equation:

-4(5 + 3x) = -2(6x + 7)

Accepted Answer

no solution

Answer

one solution

Answer

two solutions

Answer

infinitely many solutions

Question 25

Pick the correct letter for:
6 > x

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 26

Solve and graph the inequality.

$$8n\ +\ 5\ge77$$

Accepted Answer

D

Answer

A

Answer

B

Answer

C

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