Solving Multi-Step Equations with Tape Diagrams

A tape diagram shows that Sarah has 3 times as many apples as Tom. If Tom has x apples, write an equation to represent the total number of apples Sarah has. What is the total if Tom has 4 apples?

• 8

• 15

• 10

• 12

In a tape diagram, the length of one section represents 5 more than twice the length of another section. If the shorter section is y, write an equation for the longer section and find its length when y is 6.

• 15

• 17

• 12

• 20

A tape diagram shows that a rectangle's length is 4 units longer than its width. If the width is w, write an equation for the length and find the perimeter when w is 3 units.

• 18

• 22

• 20

• 16

Emily has a tape diagram that represents her savings. If she saves $10 each week and currently has $50, write an equation to find out how many weeks it will take for her to save $100. How many weeks will it take?

• 3 weeks

• 5 weeks

• 7 weeks

• 10 weeks

A tape diagram shows that the total distance traveled by a car is the sum of two segments: one segment is 3 times longer than the other. If the shorter segment is d, write an equation for the total distance and find it when d is 2 miles.

• 10 miles

• 5 miles

• 6 miles

• 8 miles

In a tape diagram, the total amount of money is divided into three parts: x, 2x, and 3x. Write an equation to represent the total amount and find the total when x is $5.

• $30

• $15

• $20

• $25

A tape diagram shows that the total number of books in a library is divided into fiction and non-fiction. If the fiction section has 2 times as many books as the non-fiction section, and the non-fiction section has n books, write an equation for the total number of books and find it when n is 10.

• 30

• 15

• 25

• 20

A tape diagram illustrates that a gardener has 4 times as many flowers as vegetables. If the number of vegetables is v, write an equation for the number of flowers and find the total when v is 3.

• 9

• 12

• 15

• 18

In a tape diagram, the total length of a ribbon is divided into two parts: one part is 5 inches longer than the other. If the shorter part is l, write an equation for the total length and find it when l is 10 inches.

• 20 inches

• 30 inches

• 25 inches

• 15 inches

A tape diagram shows that the total score of a basketball game is the sum of two players' scores. If player A scores 2 times what player B scores, and player B scores s points, write an equation for the total score and find it when s is 15.

• 45

• 25

• 60

• 30