Two Step Equations

Solving Equations

Review of solving one and two step equations

Let's Start With a Review

Multiple Choice

Solve for y.

8 = y - 4

• y = 12

• y = 4

• y = 2

• y = 1/2

Multiple Choice

Solve for x.

1/3x = 6

• x = 2

• x = 3

• x = 12

• x = 18

Multiple Choice

Solve for z

5z = 90

• z = 85

• z = 95

• z = 18

• z = 450

Multiple Choice

Solve for p

14 = 7/3p

• p = 119/3

• p = 6

• p = 10

• p = 14

Word Problems

Macy is selling coupon books for $23.75 per book. How many does she need to sell to meet her goal of $332.50?

Multiple Choice

Michael wants to buy the newest video game for $119.42. If Michael makes $8.53 an hour at work, how many hours is he going to need to work?

• 111 days

• 128 days

• 20 days

• 14 days

Multiple Choice

Which equation represents the given situation:

Luke goes to Kohl's and has a $15 coupon. Write an equation that would represent the total cost (t) Luke will pay per pair of jeans (j)

• j + 18 = t

• 18j = t

• j - 18 = t

• 18 - j = t

Multiple Choice

Which equation represents the given situation:

Nolle went to the store to buy books (b) for $23.20 each. If there is a $3.12 tax, which equation represents the total cost (t) that Nolle is going to spend?

• 23.20b + 3.12 = t

• 23.20b - 3.12 = t

• 23.20 + 3.12b = t

• 23.20 - 3.12b = t

Word Problems

Nolle went to the store to buy books (b) for $23.20 each. If there is a $3.12 tax, which equation represents the total cost (t) that Nolle is going to spend?

Multiple Choice

Solve for w.

1/2w - 3 = 11

• w = 16

• w = 4

• w = 7

• w = 28

Multiple Choice

Solve for w.

3w - 6 = 24

• w = 10

• w = 6

• w = 78

• w = 12.3

Multiple Choice

Solve for w.

w+4

____ = 7

5

• w = 8

• w = 31

• w = 39

• w = 16

Jasmine is 23 years old. Jasmine is 3 years less than half of George’s age. Find George’s age.

Fill in the Blanks

An appliance repair person charges $55 per trip plus $15 per hour for her labor. The cost of fixing a stove was $92.50. What is the unknown in this problem?

Multiple Choice

An appliance repair person charges $55 per trip plus $15 per hour for her labor. The cost of fixing a stove was $92.50. Which equation represents the situation, where h = # of hours.

• 65h = 92.50

• 55 + 15h = 92.50

• 55h + 15h = 92.50

• 55 - 15h = 92.50

Fill in the Blanks

A fair charges $7.25 for admission and $5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride passes. Their total cost was $105.50. What is the unknown in this problem?

Multiple Choice

A fair charges $7.25 for admission and $5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride passes. If their total cost was $105.50, what is the equation to represent how many friends purchased ride passes (f)?

• 7.25f - 5.50f = 105.50

• 7.25(10) - 5.50f = 105.50

• 7.25f + 5.50f = 105.50

• 7.25(10) + 5.50f = 105.50

Fill in the Blanks

A fair charges $7.25 for admission and $5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased ride passes. If their total cost was $105.50, how many friends purchased ride passes (f)?

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be the better deal?

Fill in the Blanks

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be the better deal?

A movie club charges a one-time membership fee of $25 which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal?

Fill in the Blanks

A movie club charges a one-time membership fee of $25 which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal?