Isolate Variables: Solve Real-World Equations for 7th Grade

A store sells pencils for $2 each and erasers for $3 each. If you buy a total of 10 items and spend $24, how many pencils and erasers did you buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does each person have?

• John has 12 marbles and Maria has 24 marbles.

• John has 18 marbles and Maria has 18 marbles.

• John has 10 marbles and Maria has 26 marbles.

• John has 15 marbles and Maria has 21 marbles.

A recipe calls for 3 cups of flour and 2 cups of sugar. If you want to make a double batch, how many cups of flour and sugar do you need?

• 6 cups of sugar and 4 cups of flour

• 6 cups of flour and 4 cups of sugar

• 4 cups of flour and 2 cups of sugar

• 5 cups of flour and 3 cups of sugar

In a class, the number of boys is 5 more than twice the number of girls. If there are g girls, how many boys are there?

• g + 5

• g + 2

• 2g + 5

• 3g - 5

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drove m miles and paid a total of $70, how many miles did you drive?

• 50 miles

• 200 miles

• 100 miles

• 150 miles

A gardener has x flowers and buys 3 more. If he then gives away 2 flowers, he has 10 flowers left. How many flowers did he start with?

• 5

• 12

• 9

• 7

A book costs $15 and a magazine costs $5. If you buy a total of 8 items and spend $70, how many books and magazines did you buy?

• 2 books and 6 magazines

• 3 books and 5 magazines

• 1 book and 7 magazines

• 4 books and 4 magazines

In a video game, a player earns 50 points for each level completed. If they have completed x levels and earned a total of 300 points, how many levels did they complete?

• 4

• 8

• 6

• 10

A concert ticket costs $30 and a parking pass costs $10. If you bought t tickets and p parking passes for a total of $150, how many tickets and passes did you buy?

• 6 tickets and 2 parking passes

• 3 tickets and 3 parking passes

• 4 tickets and 1 parking pass

• 5 tickets and 0 parking passes

A farmer has chickens and cows. If the number of cows is 3 more than twice the number of chickens and there are a total of 15 animals, how many chickens and cows does the farmer have?

• 6 chickens and 9 cows

• 5 chickens and 10 cows

• 3 chickens and 12 cows

• 4 chickens and 11 cows