Quiz about PACE Writing & Solving Two-Step Equations

Question 1

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

Accepted Answer

33 = 2h + 15

Answer

h = 2(9) + 15

Answer

33 = 15h + 2

Answer

h = 15(9) + 2

Question 2

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

Accepted Answer

c = 3.00 + 0.15m

Answer

c = 3.00 - 0.15m

Answer

c = 0.15 + 3.00m

Answer

3.00 = c + 0.15

Question 3

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?  (Define 'n' and write the equation.)

Accepted Answer

n=cost of 1 eraser; 5 + 4n = 25

Answer

n=total cost of erasers; 5 + 4n = 25

Answer

n=cost of 1 eraser; 5 - 4n = 25

Answer

n=cost of 1 eraser; 5n + 4 = 25

Question 4

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 5

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 6

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 7

What is the first step in solving the following equation?
3x - 5 = 20

Accepted Answer

add 5 to both sides

Answer

multiply both sides by 5

Answer

divide both sides by 5

Answer

subtract both sides by 5

Question 8

-9x-13= -103

Accepted Answer

10

Answer

15

Answer

12

Question 9

3c + 5 = 23

Accepted Answer

c = 6

Answer

c = 3

Answer

c = 7

Answer

c = 18

Question 10

4x + 7 = 23

Accepted Answer

x = 4

Answer

x = 16

Answer

x = 9

Answer

x = 12

Question 11

-4x+1=21

Accepted Answer

x=-5

Answer

x=120

Answer

x=5

Answer

x=30

Question 12

Solve 2x - 3 = 1

Accepted Answer

2

Answer

3

Answer

1

Answer

-2

Question 13

Solve   -5t + 9 = 24

Accepted Answer

-3

Answer

3

Answer

-5

Answer

12

Question 14

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?

Accepted Answer

12

Answer

17

Answer

64.5

Answer

15

Question 15

The steps in solving 5b - 6 = 24 are:

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 16

Solve  9 + 3x = 10

Accepted Answer

1/3

Answer

2/3

Answer

-1/3

Answer

4

Question 17

3c + 5 = 23

Accepted Answer

c = 6

Answer

c = 3

Answer

c = 7

Answer

c = 18

Question 18

2x + 6 = 14

Accepted Answer

x = 4

Answer

x = 10

Answer

x = -4

Answer

x = 3

Question 19

6p - 5 =13

Accepted Answer

3

Answer

12

Answer

15

Answer

-3

Question 20

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 21

Solve  3x - 7 = 32

Accepted Answer

13

Answer

-13

Answer

12

Answer

-12

Question 22

Solve.  -3x - 12 = 15

Accepted Answer

-9

Answer

9

Answer

-1

Answer

27

Question 23

7k - 14 = 42

Accepted Answer

8

Answer

7

Answer

-8

Answer

0

Question 24

-15 = 11 -2t

Accepted Answer

13

Answer

5

Answer

-13

Answer

45

Question 25

15 - 2b = -9

Accepted Answer

12

Answer

10

Answer

-12

Answer

10

Question 26

-1/3y-6=-11

Accepted Answer

15

Answer

35

Answer

-15

Answer

35

Question 27

3 + 9n = 21

Accepted Answer

2

Answer

-2

Answer

6

Answer

3

Question 28

21 = 5 - r

Accepted Answer

-16

Answer

16

Answer

24

Answer

26

Question 29

8 - 5b = -7

Accepted Answer

3

Answer

-3

Answer

4

Answer

1

Question 30

-3t + 4 = 19

Accepted Answer

-5

Answer

7

Answer

-7

Answer

3

Question 31

-3+n=25

Accepted Answer

28

Answer

22

Answer

-22

Answer

24

Question 32

9k - 8 = 10

Accepted Answer

2

Answer

1

Answer

-1

Answer

-2

Question 33

5z - 17 = 13

Accepted Answer

6

Answer

2

Answer

4

Answer

5

Question 34

-24 - a = -15

Accepted Answer

-9

Answer

9

Answer

39

Answer

-39

Question 35

x/5 - 13 = 20

Accepted Answer

165

Answer

145

Answer

180

Answer

190

Question 36

Solve for w:
-6w + 1 = -11

Accepted Answer

2

Answer

1.2

Answer

12

Answer

-2

Question 37

Question 37.

Accepted Answer

8.5

Answer

8

Answer

9

Answer

9.5

Question 38

Question 38.

Accepted Answer

5

Answer

6

Answer

-5

Answer

-6

Question 39

What is the solution?

Accepted Answer

x = -15

Answer

x = 22.

Answer

x = 41

Answer

x = 85

Question 40

Question 40.

Accepted Answer

-15

Answer

15

Answer

-16

Answer

14

Question 41

Question 41.

Accepted Answer

10

Answer

-10

Answer

50

Answer

-70

Question 42

Question 42.

Accepted Answer

-15

Answer

15

Answer

33

Answer

-33

Question 43

p/14 = -19

Accepted Answer

-266

Answer

-5

Answer

-33

Answer

-1  5/14

Question 44

2x + 6 = 14

Accepted Answer

x = 4

Answer

x = 10

Answer

x = -4

Answer

x = 3

Question 45

Solve for x:
-30 - 5x = 120

Accepted Answer

x = -30

Answer

x = 18

Answer

x = -18

Answer

x = 30

PACE Writing & Solving Two-Step Equations

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