Quiz about Two-step Equations (Mixed)

Question 1

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 2

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

Accepted Answer

add 8 to both sides, then divide both sides by 5

Answer

add 8 to both sides, then divide both sides by 40

Answer

subtract 8 from both sides, then divide both sides by 5

Answer

subtract 8 from both sides, then multiply both sides by 5

Question 3

What is the first step to solve for x. $$-9\ +\ 3x\ =\ 10$$

Accepted Answer

Add 9 to both sides of the equation.

Answer

Subtract 9 from both sides of the equation.

Answer

Subtract 3 from both sides of the equation.

Answer

Add 10 to both sides of the equation.

Question 4

Solve: $$5x-2=33$$

Accepted Answer

$$x=7$$

Answer

$$x=8$$

Answer

$$x=-3$$

Answer

$$x=4$$

Question 5

Solve: $$8=-6-2x$$

Accepted Answer

$$x=-7$$

Answer

$$x=7$$

Answer

$$x=1$$

Answer

$$x=-1$$

Question 6

Solve: $$1+\frac{x}{-10}=-3$$

Accepted Answer

$$x=40$$

Answer

$$x=-40$$

Answer

$$x=\frac{4}{10}$$

Answer

$$x=-\frac{4}{10}$$

Question 7

7(9 + K)= 84
k =____________

Accepted Answer

3

Answer

-3

Answer

5

Question 8

What is the firs step in solving for the variable?

$$3\left(3x\ -\ 7\right)\ =\ 24$$

Accepted Answer

Distributive property

Answer

Combine Like Terms

Answer

Move the variables to the same side

Answer

Solve for the variable

Question 9

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

Accepted Answer

7x + 35 = 63

Answer

7x = 63

Answer

7x - 35 = 63

Answer

35x + 7 = 63

Question 10

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.

Accepted Answer

.50x + 20 = 35

Answer

.50x = 35

Answer

.50 + 20x = 35

Answer

.50x - 20 = 35

Question 11

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

Accepted Answer

c/4 - 7 = 8

Answer

c/7 - 4 = 8

Answer

c/4 + 7 = 8

Answer

4/c - 7 = 8

Question 12

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

Accepted Answer

8

Answer

9

Answer

7

Answer

10

Question 13

Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?

Accepted Answer

4.5 hours

Answer

2.5 hours

Answer

7.5 hours

Answer

10.5 hours

Question 14

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.

Accepted Answer

.50x + 20 = 35

Answer

.50x = 35

Answer

.50 + 20x = 35

Answer

.50x - 20 = 35

Question 15

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

Accepted Answer

11x + 6 = 39

Answer

11x - 6 = 39

Answer

11 + 6x = 39

Answer

66x = 39

Question 16

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals.  If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

Accepted Answer

2x + 1 = 15

Answer

x - 15 = 1

Answer

x + 1 = 15

Answer

x + 1 = x + 15

Question 17

Over a period of 3 weeks, Jaiya made $55 selling Valentine cards. The first week she made $15. The other two weeks, the amount of money she made each week was the same. Write an equation that can be used to find w, the amount of money she made during each of those two weeks?

Accepted Answer

2w + 15 = 55

Accepted Answer

w + w + 15 = 55

Answer

w + 15 = 55

Answer

3w + 15 = 55

Answer

w = 25

Two-step Equations (Mixed)

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