Quiz about Solving Multi-Step Linear Equations

Question 1

Solve the equation:

-5(x + 3) = 2(x - 5)

Accepted Answer

x = $$-\frac{5}{7}$$

Answer

x = $$\frac{13}{7}$$

Answer

x = $$-\frac{25}{7}$$

Answer

x = $$\frac{7}{5}$$

Answer

x = $$-\frac{13}{3}$$

Question 2

Solve the equation below:

Accepted Answer

k = 176

Answer

k = 152

Answer

k = 5

Answer

k = 27

Question 3

Which equation has x = 5 as the solution?

Accepted Answer

2x = 10

Answer

x + 15 = 10

Answer

2x = 5

Answer

2x - 3 = 15

Question 4

- 4x + 1 = 21

Accepted Answer

x = - 5

Answer

x = 120

Answer

x = 5

Answer

x = 30

Question 5

3x - 5 = - 26

Accepted Answer

x = - 7

Answer

x = - 21

Answer

x = 21

Answer

x = 61

Question 6

Solve: 3(x-4) = -3

Accepted Answer

3

Answer

-3

Answer

5

Answer

-5

Question 7

Solve: - 7(z - 6) = - 80

Accepted Answer

$$\frac{122}{7}$$

Answer

$$\frac{7}{122}$$

Answer

$$-\frac{38}{7}$$

Answer

$$\frac{38}{7}$$

Question 8

Janet wants to rent a U-Haul to move her mother. She spends $225 for the move. The U-Haul costs $45 up front and $1.50 a mile. What equation would you use to solve the number of miles her mother moved?

Accepted Answer

45 + 1.5x = 225

Answer

225 = 45x + 1.5

Answer

45x + 1.5x = 225

Answer

225 = 45(1.5) + 1.5x

Question 9

Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2

Accepted Answer

x = -8

Answer

x = 8

Answer

x = 2

Answer

x = -2

Question 10

What is the first step to solve this equation:
11 - 3x = 44

Accepted Answer

Subtract 11 from both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Answer

Divide 3 on both sides.

Question 11

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

Accepted Answer

1500 + 8t = 12t

Answer

1500 + 8t = 12

Answer

12 + 8t = 1500

Answer

8t = 12t + 1500

Question 12

What is the first step in solving the equation 2a - 4(a - 5) = 10

Accepted Answer

Distribute -4 to a and -5

Answer

Add 4 to both sides

Answer

Add the 2a and a

Answer

Distribute 4 to a and -5

Question 13

8v - 4(v + 8) = 8

Accepted Answer

10

Answer

2

Answer

4

Answer

-4

Question 14

2x - 3 + 4x = 27

Accepted Answer

5

Answer

12

Answer

4

Answer

15

Question 15

2x + 3(5x - 7) = 47

(enter the number only)

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 16

Find the value of the unknown variable

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 17

Mary spent half of her allowance going to the movies. She washed the family car and earned an extra seven dollars this week. What is her weekly allowance if she ended with seventeen dollars?

Accepted Answer

20

Answer

48

Answer

10

Answer

12

Question 18

Mark has two jobs. He worked 40 hours for $11.50 an hour at his first job this week and $6.50 an hour at his second job. How many hours did he work at the second job if he earned $502.25 for the week?

Accepted Answer

6.5 hours

Answer

35 hours

Answer

40 hours

Answer

4.5 hours

Question 19

Which of the following equations would have a solution of 3? (Choose all that apply.)

Accepted Answer

3x = 9

Accepted Answer

7x - 6 = 15

Accepted Answer

2(4x - 3) = 3x + 9

Answer

15x = - 45

Answer

2x + 1 = 21

Solving Multi-Step Linear Equations

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