Solving Two-Step Algebra Word Problems for Grade 7

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?

• 7 pencils and 3 erasers

• 5 pencils and 5 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 30 marbles, how many marbles does Maria have?

• 25

• 10

• 15

• 20

A book costs $15 and a magazine costs $5. If you buy 3 books and y magazines for a total of $60, how many magazines did you buy?

• 2

• 5

• 1

• 3

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

• g - 2

• g + 5

• 3g - 5

• 2g + 5

A farmer has chickens and cows. If the number of cows is 3 less than twice the number of chickens and there are a total of 21 animals, how many cows are there?

• 15

• 8

• 13

• 10

A concert ticket costs $50 and a parking pass costs $10. If you buy t tickets and p parking passes for a total of $320, how many tickets did you buy?

• 6

• 8

• 4

• 10

The length of a rectangle is 4 meters more than its width. If the width is w meters and the perimeter is 28 meters, what is the width of the rectangle?

• 5 meters

• 6 meters

• 7 meters

• 4 meters

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you paid a total of $70, how many miles did you drive?

• 250 miles

• 150 miles

• 200 miles

• 100 miles

In a school, the number of students in the 7th grade is 12 more than the number of students in the 6th grade. If there are s students in the 6th grade, how many students are in the 7th grade?

• s + 15

• s + 10

• s - 12

• s + 12

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses f cups of flour, how many cups of sugar will you need?

• (5/2) * f

• (1/2) * f

• (3/2) * f

• 3 * f