7th Grade Two-Step Equations & Inequalities Challenge

Maria has 12 apples. She gives away some apples to her friend and now has 5 left. How many apples did she give away? (Solve the equation: 12 - x = 5)

• 7

• 3

• 10

• 4

Tom is 4 years older than his sister. If his sister is x years old, write an equation to represent Tom's age and solve for x if Tom is 15 years old.

• 10

• 14

• 11

• 12

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If a customer pays $35, how many miles did they drive? (Solve the equation: 20 + 0.5m = 35)

• 30 miles

• 25 miles

• 40 miles

• 15 miles

The temperature in the morning was 5 degrees Celsius. By noon, it increased by 7 degrees. Write an equation to find the noon temperature and solve it.

• 15 degrees Celsius

• 10 degrees Celsius

• 8 degrees Celsius

• 12 degrees Celsius

A school is planning a field trip. The cost per student is $15, and there are 20 students. If the total cost is $300, how much money is needed to cover the trip? (Solve the equation: 15s = 300)

• $250

• $300

• $150

• $400

A gardener has a total of 50 flowers. If he plants x flowers in the garden and gives away 10, how many flowers does he have left? (Solve the equation: 50 - x - 10 = 0)

• 10

• 20

• 30

• 0

The sum of a number and 8 is less than 20. Write an inequality to represent this situation and graph it on a number line.

• x < 10

• x > 12

• x < 12

• x ≤ 12

A box can hold a maximum of 30 pounds. If a box currently weighs 12 pounds, what is the maximum weight of items that can be added to the box? (Solve the inequality: 12 + x ≤ 30)

• 18 pounds

• 10 pounds

• 15 pounds

• 25 pounds

A concert hall has a seating capacity of 500. If 200 tickets have been sold, how many more tickets can be sold without exceeding capacity? (Solve the inequality: 200 + x ≤ 500)

• 400

• 300

• 250

• 150