Grade 7 Equations & Inequalities

Princess is driving to visit a friend in another state who lives 440 miles away. She is driving 55 miles per hour and have already driven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.

• 55h + 275 = 440; h=3

• 440h − 275 = 55; h=0.75

• 55h + 275 = 440; h=13

• 55h + 275h = 440; h=1.3

A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solve an equation to find the price of each shrub.

• 4p + 17.5p = $53.50;

  p = $2.49

• 4(p + $17.50) = $53.50; p = $4.00

• 4p + $17.50 = $53.50;

  p = $11.25

• 4p + $17.50 = $53.50;

  p = $9.00

Sandra and Janet are going to the movies and meeting up with their friend Karen. The girls spent $42.75 in total for movie tickets and bags of popcorn that cost $5.25 each. How much money did each of the three girls spend on the movie tickets?

• $7.50

• $9.00

• $12.50

• $15.00

Jeanne needs to buy shirts to look good when she goes back to school in a couple of weeks. She has $55 to spend, and all the shirts are conveniently the same price at her favorite store. She purchased 5 shirts and left the store with $7.50. How much did each shirt cost?

• 5(x + 1.50) = 55

  x = $12.50

• 5(x + 1.50) = 55

  x = $9.50

• 7.5(x + 1) = 55

  x =$12.50

• 7.5(x + 1) = 55

  x =$9.50

Sarah is playing a number game. She thinks of a number, adds 5 to it, and then multiplies the result by 6. Surprisingly, her final answer is 66. What was Sarah’s original number?

• 5

• 6

• 10

• 12

The annual cookie sale has begun at McNair Middle School to raise funds for the seventh-grade end of the year activities. For all 268 students to attend a trip out of state, the grade level must raise at least $13,400. The school paid $6000 for the containers of cookie dough and will sell each container for $8. Which inequality represents the number of containers, c, that the seventh-grade class needs to sell to make a profit?

• 8c + 6000 ≥ 13,400

• 8c + 6000 ≤ 13,400

• 8c - 6000 ≥ 13,400

• 8c - 6000 ≤ 13,400

The annual cookie sale has begun at McNair Middle School to raise funds for the seventh-grade end of the year activities. For all 268 students to attend a trip out of state, the grade level must raise at least $13,400. The school paid $6000 for the containers of cookie dough and will sell each container for $8. What are the possible amount of containers the seventh-grade class need to sell? Select TWO answers that apply.

• 750 containers

• 500 containers

• 1675 containers

• 1500 containers

• 1800 containers

Emma is selling cookies to raise money for a school fundraiser. Each box of cookies she sells earns $3.50 for the fundraiser. Her goal is to raise at least $150 by the end of the week. So far, she has sold 15 boxes of cookies. Which inequality represents the scenario using and what is the number of boxes of cookies Emma needs to sell to reach her goal by the end of the week.

• 3.5(x + 15) < 150

  27 boxes

• 3.5(x + 15) > 150

  28 boxes

• 3.5(x + 15) ≤ 150

  27 boxes

• 3.5(x + 15) ≥ 150

  27 boxes

The Smith family is planning to rent a car for a day trip. The car rental company charges a flat fee of $80 plus $15 for each hour. If the Smith family wants to spend $150 or less on the car rental for the day, how many hours can they rent the car?

• 4 hours

• 5 hours

• 6 hours

• 7 hours

Emma works at a cafe where she earns $8.50 per hour plus an additional $120 in tips last week. She earned more than $395.50. If ℎ represents the minimum number of hours Emma could have worked, which inequality represents all the possible values of ℎ?

• 120ℎ + 8.50 ≥ 395.50

• 120ℎ + 8.50 > 395.50

• 8.50ℎ + 120 ≥ 395.50

• 8.50ℎ + 120 > 395.50