Quiz about Multi Step Equations

Question 1

2x - 3 + 4x = 27

Accepted Answer

5

Answer

12

Answer

4

Answer

15

Question 2

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

Accepted Answer

1

Answer

4

Answer

3

Answer

2

Question 3

4x + 10 = -26

Accepted Answer

-9

Answer

4

Answer

-4

Answer

9

Question 4

2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?

Accepted Answer

8h + 15 = 96

Answer

96h + 15 = 8

Answer

h/96 = 8

Answer

h/8 = 96

Question 5

Write an equation models the following statement:
17 less than h equals 42

Accepted Answer

h-17=42

Answer

17-h=42

Answer

h+17=42

Answer

17+h=42

Question 6

Solve for " x" ?
4x-6=30

Accepted Answer

x = 9

Answer

x = 13

Answer

x = 36

Answer

x = 4

Question 7

Solve for the variable. 3x=-27

Accepted Answer

x=-9

Answer

x=9

Answer

x=-30

Answer

x=-24

Question 8

Solve: 3(x-4) = -3

Accepted Answer

3

Answer

-3

Answer

5

Answer

-5

Question 9

Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).

Accepted Answer

15h = p

Answer

15p = h

Answer

ph = 15

Answer

15 + h = p

Question 10

The art teacher at my school is buying tubes of paint for an upcoming art project. At the store, she sees that they are on sale for $3.50 per paint tube. Write an equation to represent the relationship between number of paint tubes (p) and the total cost (c).

Accepted Answer

3.5p = c

Answer

p + c = 3.5

Answer

6p = c

Answer

pc = 3.5

Question 11

Tommy earns an allowance of 25 dollars per week. Write an equation to represent the number of weeks (w) and the total allowance (a).

Accepted Answer

25w = a

Answer

25a = w

Answer

aw = 25

Answer

2 + 5 = a

Question 12

Suzy goes to the store and buys 10 cases of pencils. When she gets to the register her total is $50. How much is each case of pencils?

Accepted Answer

$5

Answer

$50

Answer

$60

Answer

$10

Question 13

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

Accepted Answer

3 hours

Answer

2 hours

Answer

4 hours

Answer

5 hours

Question 14

Select the situation that could be modeled by: 120 + 25x = 45x.

Accepted Answer

George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

Answer

John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

Answer

Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Answer

A cell phone company charges $25 for service and $120 per gigabyte.  Another company charges $45 per gigabyte.  For how many gigabytes would the price be the same?

Question 15

Select the situation that could be modeled by: 12 + 5x = 18+3x

Accepted Answer

Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?

Answer

Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?

Answer

Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

Answer

Charlie sells dozens of eggs for $5.  Calvin sells a dozen and a half eggs for $3 each.  How many do they have to sell to make the same amount of money?

Question 16

Write the word sentence as an equation.

The quotient of a number k and 8 is 7

Accepted Answer

k/8 = 7

Answer

8k = 7

Answer

k/7 = 8

Answer

8/k = 7

Question 17

Write the word sentence as an equation.

The difference of a number z and 25 is equal to 15

Accepted Answer

z - 25 = 15

Answer

25 - 15 = z

Answer

25 - z = 15

Answer

z - 15 = 25

Question 18

Write the word sentence as an equation.

The product of 17 and a number s is 153.

Accepted Answer

17s = 153

Answer

17 + s = 153

Answer

s/17 = 153

Answer

153/17 = s

Question 19

Write the word sentence as an equation.

One half of a number x is 10

Accepted Answer

1/2x = 10

Answer

2x = 10

Answer

2 + x = 10

Answer

1/2 - x = 10

Question 20

A leopard has an average height of 25 inches. It is 12 inches taller than the average duck. Write an equation to find the average height (h) of the duck.

Accepted Answer

h + 12 = 25

Answer

h = 25 - 12

Answer

12h = 25

Answer

12 + 25 = h

Question 21

A human baby weighs 6.7 pounds. It weighs 2.8 pounds more than a baby chimpanzee. Write and solve an equation to find the weight (c) of the baby chimpanzee.

Accepted Answer

c + 2.8 = 6.7 ; c = 3.9

Answer

6.7 - 2.8 = c ; c = 3.9

Answer

c + 6.7 = 2.8 ; c = 9.5

Answer

6.7 + 2.8 = c ; c = 9.5

Question 22

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

Accepted Answer

12x + 14 = 50

Answer

12 + 14x = 50

Answer

50 - 14 - 12 = x

Answer

50x + 12 = 14

Question 23

Lance is buying new things for his room. He wants some posters and a new rug. He spent $44.50 total. If the rug costs $27 and the posters cost $2.50 each, how many did he buy?

Accepted Answer

2.5x + 27 = 44.5

Answer

44.5 = 2.5x - 27

Answer

44.5 - 2.5 = 27x

Answer

27x + 2.5 = 44.5

Question 24

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

Accepted Answer

10.95x + 12.57 = 89.22

Answer

12.57x + 10.95 = 89.22

Answer

89.22x -10.95 = 12.57

Answer

12.57 + 10.95 = 89.22

Question 25

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the initial value?

Accepted Answer

$100

Answer

$35

Answer

$135

Answer

$65

Question 26

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

Accepted Answer

50 + 20m = 290

Answer

20 + 50m = 290

Answer

50 + 20 = m

Answer

50m - 20 = 290

Question 27

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 28

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 29

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

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