Linear Equation Unit Practice Test

Multiple Choice

Penny solved an equation by subtracting 6 from each side of the equation and then dividing each side by 5. Which of these could have been the equation Penny solved?

• 1/5x + 6 = 11

• 5x - 6 = 9

• 5x + 6 = 21

• 6x + 5 = 17

Multiple Choice

Solve the Inequality:

4 - 3x > 16

• x > 4

• x > -4

• x < -4

• x < 4

Multiple Choice

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation. How many hours per week must she babysit to reach her goal?

What is the first step to solving this equation?

• Distributing 8

• Subtracting 20

• Dividing by 8

• Adding 12x and 20

Multiple Choice

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation. How many hours per week must she babysit to reach her goal?

Equation

96x + 160 = 832

What is the next step?

• Subtract 160 from both sides

• Add 160 to both sides

• Subtract 96x from both sides

• Add 96x to both sides

Multiple Choice

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation.

How many hours per week must she babysit to reach her goal?

• 6 hours

• 7 hours

• 12 hours

• 10 hours

Multiple Choice

How many solutions does 4(2x - 5) = -16 + 8x have?

• infinitely many solutions

• two solutions

• one solution

• no solution

Multiple Choice

How many solutions does 2x - 6 = 3x - 6 have?

• no solution

• one solution

• two solutions

• infinitely many solutions

Multiple Choice

Solve the inequality

x - 6 ≤ -2

• x ≤ 4

• x ≥ 4

• x < 4

• x > 4

Multiple Choice

Solve the inequality

-9 + 2m < 6m + 3

• m < 2

• m > 2

• m < -2

• m > -2

Multiple Choice

Solve the inequality

6x - 4x ≤ 12 - x

• x > 4

• x ≤ 4

• x < 4

• x ≥ 4

Multiple Choice

Solve the inequality

3r + 16 ≥ 4(r + 3)

• r ≤ 4

• r ≥ 4

• r < 4

• r > 4

Multiple Choice

Jake plans to board his dog while he is away on vacation. Boarding house A charges $90 plus $5 per day. Boarding house B charges $100 plus $4 per day. For how many days must Jake board his dog for A to be less expensive than B?

Select the correct inequality statement

• 90 + 5x > 100 + 4x

• 90 + 5x < 100 + 4x

• 90

Multiple Choice

Solve for x:
6(2x + 1) = 18

• 3
• 17/12
• 1
• 2

Multiple Choice

Solve for x:
10 = 3x -12

• 22/3
• 2/3
• 10/9
• 8

Multiple Choice

Solve for x:
8x + 2 + 3x + 5 = x + 12

• -1/2
• 2
• -2
• 1/2

Multiple Choice

What is the solution to this equation?

• one solution
• no solution
• infinite solutions
• none of these

Multiple Choice

$$7x-3=7x+5$$  

• No Solution

• Infinite Solutions

• $$x=2$$  

• $$x=8$$  

Multiple Choice

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Multiple Choice

-2(x+2) < 14

• x < - 5
• x > -5
• x < -9
• x > -9

Multiple Choice

Which is correct?

• A)
• B)
• C)
• D)

Multiple Choice

The goal of solving two-step equations is to:

• francine
• Find the coefficient 
• Find the value of the variable

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

2 (n + 5) = -2 The first step in solving the following equation is ____________

• add five to both sides
• distribute 2 to all terms in the parenthesis
• add 2

Multiple Choice

Simplify the following expression:
-10x + 15 - 3x + 2

• 13x² + 17
• -13x² + 13
• -13x + 17
• -7x + 17

Multiple Choice

What inequality does the number line graph represent?

• -x + 4 ≥ -1
• -2x + 3 > -7
• -x + 1 < -4
• 2x + 3 ≥ 13

Multiple Choice

How can 5(3 +2) be expressed using the distributive property?

• 5(3) x 5(2)

• (5 x 3) x (5 x 2)

• 5(3) + 5(2)

• (5 + 3) x (5+2)

Multiple Choice

-3 (a + 3)

• 3a - 9

• -3a + 9

• 3a + 9

• -3a - 9

Multiple Choice

Which of the following expressions is equivalent to:

4(x - 6)

• 24 - 4x

• 4x - 6

• x - 24

• 4x - 24

Multiple Choice

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

Multiple Choice

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

• 22.50 - x > 32

• 22.50x > 32

• 22.50 + x > 32

• 22.50 +x < 32

Multiple Choice

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?

• 12
• 17
• 64.5
• 15

Multiple Choice

A computer printer can print 10 pages per minute.There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

• 10m + 35 = 115

• 10m - 35 = 115

• 115m + 35 = 10

• 35m + 10 = 115

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35

• .50x - 20 = 35

Multiple Choice

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Multiple Choice

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

• 56

• 25

• 46

• 54