Quiz about Writing and Solving 2-Step Equations

Question 1

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 the number of hours (h) of lessons Kasey took if the total cost was $39.

Accepted Answer

11h + 6 = 39

Answer

11 + 6h = 39

Answer

11h - 6 = 39

Answer

66h = 39

Question 2

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 3

Four more than the product of six and a number is 18.

Accepted Answer

4 + 6x = 18

Answer

10x = 18

Answer

4x + 6 = 18

Answer

not enough info

Question 4

Twice a number plus 6 is -72

Accepted Answer

2x + 6 = -72

Answer

2 + 6x =- 72

Answer

2 + 6 = x

Answer

2x² + 6 = 72

Question 5

While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?

Accepted Answer

5x + 6 = 61

Answer

x/5 + 6 = 61

Answer

5/x + 6 = 61

Answer

x + 5 + 6 = 61

Question 6

The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?

Accepted Answer

2x + 250 = 1000

Answer

250x + 2 = 1000

Answer

1000 + 2x = 250

Answer

250 - 2x = 1000

Question 7

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 Jim been a member of the gym?

Accepted Answer

50 + 20m = 290

Answer

20 + 50m = 290

Answer

50 + 20 = m

Answer

50m - 20 = 290

Question 8

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 + 63 = 35

Answer

35x + 7 = 63

Question 9

An electrician charges $90 per hour plus a $50 travelling fee. It costs $1000 in total.

Accepted Answer

1000 = 90x + 50

Answer

1000 = 50x + 90

Answer

90 = 1000 + 50x

Answer

90x = 1000 + 50

Answer

50 = 90x + 1000

Question 10

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 11

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

0.50x + 20 = 35

Answer

0.50x = 35

Answer

0.50 + 20x = 35

Answer

0.50x - 20 = 35

Question 12

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

Accepted Answer

800 + 5x = 4000

Answer

800x + 5 = 4000

Answer

4000 + 5x= 800

Answer

800 + 5 = 4000

Answer

4000 = 800 + 5

Question 13

Nicole rented a car while she was on vacation. She paid an initial rental fee of $50 plus a daily fee of $25 each day. The total cost of the rental was $300. Choose the equation to find out how many days she rented the car.

Accepted Answer

25d + 50 = 300

Answer

25d + 300 = 50

Answer

d + 75 = 300

Answer

75d + 50 = 300

Question 14

Tamara received a $200 gift card. She buys several video games for $45 each. She has $20 left on the gift card. Choose the equation to find out how many video games she bought.

Accepted Answer

200 - 45v = 20

Answer

20v -45 = 200

Answer

20 + 45v = 200

Answer

45v - 20 = 200

Question 15

Jessica has $10 to spend at Target. She wants to buy some candy bars that cost $1.50 each and one t-shirt that costs $6. Let x represent the number of candy bars she buys.

Accepted Answer

1.50x + 6 = 10

Answer

1.50 + 6x = 10

Answer

6x = 10 + 1.50

Answer

10x = 1.50 + 6

Question 16

Which equation would describe "two times a number plus five equals 15"?

Accepted Answer

2x + 5=15

Answer

x + 5 = 15

Answer

x + 2(5) = 15

Answer

2(x + 5) = 15

Question 17

Solve  12 - 6y = 24

Accepted Answer

-2

Answer

-1

Answer

-3

Answer

-4

Question 18

Solve   -5t + 9 = 24

Accepted Answer

-3

Answer

3

Answer

12

Question 19

Question 19.

Accepted Answer

-15

Answer

-18

Answer

18

Answer

15

Question 20

$$\frac{r\ -\ 6}{2}=\ 4$$

Accepted Answer

r = 14

Answer

r = -14

Answer

r = 8

Answer

r = -8

Question 21

$$\frac{p\ +\ 8}{-2}=\ 10$$

Accepted Answer

p = -28

Answer

p = 28

Answer

p = 14

Answer

p = -14

Question 22

40 = 4 (y + 1)

Accepted Answer

y = 9

Answer

y = -9

Answer

y = 11

Answer

y = -11

Question 23

$$\frac{a\ +\ 3}{7}=\ 3$$

Accepted Answer

a= 18

Answer

a= 21

Answer

a= 4

Answer

a= 11

Question 24

A square has side lengths of x + 1. If the perimeter is 20 inches, which equation could be used to find the value of x?

Accepted Answer

4(x + 1) = 20

Answer

4x + 1 = 20

Answer

x + 1 = 20

Answer

4x + 2 = 20

Question 25

Simplify the expression: 7+3(1 - 2x)

Accepted Answer

10 - 6x

Answer

21 - 6x

Answer

10 - 2x

Answer

10 - 20x

Question 26

Which of the following are equivalent to 3y - 9?

SELECT ALL THAT APPLY

Accepted Answer

3 (y - 3)

Accepted Answer

6y - 3 - 3y -6

Accepted Answer

2(y -1) + y - 7

Answer

2y + 10 + y - 12

Question 27

Which of the following are equivalent to -5y - 10?

SELECT ALL THAT APPLY

Accepted Answer

-2y + 2 -3y - 12

Accepted Answer

-5 (y + 2)

Accepted Answer

2(y -1) - 7y - 8

Accepted Answer

-10 - 5y

Answer

-6y - 3 + y -6

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