Translating Word Problems: Equations with Variables

Alicia has 3 more than twice the number of books that Ben has. If Ben has x books, write an equation to represent the situation and solve for x if Alicia has 15 books.

• 10

• 6

• 4

• 8

A store sells pencils for $0.50 each and erasers for $0.75 each. If the total cost of 4 pencils and 2 erasers is $3.50, set up an equation to find how many erasers were bought if the total cost was $3.50.

• 1

• 2

• 4

• 3

In a class, the number of girls is 5 less than twice the number of boys. If there are b boys, write an equation to represent the number of girls and solve for b if there are 13 girls in the class.

• 7

• 9

• 15

• 11

A farmer has chickens and cows. The number of chickens is 4 more than twice the number of cows. If the number of cows is c, write an equation and find c if there are 20 chickens.

• 8

• 12

• 6

• 10

Maria has twice as many stickers as John. If John has j stickers, write an equation to represent the situation and solve for j if Maria has 18 stickers.

• 15

• 9

• 6

• 12

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer paid $50, set up an equation to find out how many miles they drove.

• 100 miles

• 200 miles

• 250 miles

• 150 miles

In a video game, a player earns 10 points for each level completed and loses 5 points for each level failed. If the player has a total of 30 points after completing x levels and failing y levels, write an equation and solve for x if y is 2.

• 3

• 5

• 6

• 4

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make a batch that uses 5 cups of flour, how many cups of sugar will you need? Set up an equation to find the answer.

• 1.5 cups of sugar

• 3.33 cups of sugar

• 4 cups of sugar

• 2 cups of sugar

A concert hall has 200 seats. If 3 times the number of reserved seats plus 50 equals the total number of seats, write an equation to find the number of reserved seats.

• 30

• 50

• 70

• 100