Solving Equations and Operations: 7th Grade Math Quiz

A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy x pencils and y erasers, write an equation for the total cost. If you spend $10, how many pencils and erasers did you buy?

• 7 pencils and 5 erasers

• 10 pencils and 0 erasers

• 5 pencils and 10 erasers

• 3 pencils and 8 erasers

Maria has 3 times as many marbles as John. If John has x marbles, write an equation for the number of marbles Maria has. If together they have 48 marbles, how many does each have?

• John has 20 marbles and Maria has 60 marbles.

• John has 15 marbles and Maria has 45 marbles.

• John has 10 marbles and Maria has 30 marbles.

• John has 12 marbles and Maria has 36 marbles.

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make x batches of the recipe, write an equation for the total amount of flour and sugar needed. If you want to make 4 batches, how much of each ingredient do you need?

• 6 cups of flour and 9 cups of sugar

• 8 cups of flour and 12 cups of sugar

• 10 cups of flour and 15 cups of sugar

• 4 cups of flour and 6 cups of sugar

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you drive y miles, write an equation for the total cost. If your total cost is $35, how many miles did you drive?

• 120 miles

• 50 miles

• 75 miles

• 100 miles

In a class, the ratio of boys to girls is 3:4. If there are x boys, write an equation for the number of girls. If there are 28 girls, how many boys are in the class?

• 30

• 24

• 21

• 18

A gardener plants 5 rows of flowers with x flowers in each row. If the total number of flowers is 45, write an equation to find x. How many flowers are in each row?

• 8

• 7

• 10

• 9

A book costs $15 and a magazine costs $5. If you buy x books and y magazines, write an equation for the total cost. If you spend $50, how many books and magazines did you buy?

• 4 books, 0 magazines

• (3 books, 1 magazine)

• 1 book, 5 magazines

• 2 books, 2 magazines

A swimming pool is filled with water at a rate of 10 gallons per minute. If it takes t minutes to fill the pool, write an equation for the total gallons of water. If the pool holds 500 gallons, how long will it take to fill?

• 100 minutes

• 50 minutes

• 70 minutes

• 30 minutes

A school is planning a field trip. The cost per student is $12, and there are x students attending. Write an equation for the total cost. If the total cost is $240, how many students are going?

• 30

• 25

• 20

• 15

A farmer has chickens and cows. If the number of chickens is twice the number of cows, and there are y cows, write an equation for the number of chickens. If there are 10 cows, how many chickens does the farmer have?

• 15

• 30

• 25

• 20