Tape Diagrams and Algebraic Expressions

The ratio of girls to boys is 3:8. If there are 48 boys, how many girls are there? Use the tape diagram to help you solve.

• 6

• 24

• 18

• 72

Which tape diagram is correctly set up according to the following problem:

During the holiday sale, Save at Gabe's sold sweaters and pogo sticks in the ratio of 2:3. The store sold a total of 20 items. How many pogo sticks were sold?

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If there are 120 boys in the group, how many boys and girls are there TOTAL? Use the tape diagrams to solve.

• 150

• 270

• 250

• 360

Which equation represents this tape diagram?

• 3x + 60 = 24

• 24 + x = 60

• 24x + 60 = 24

• 24 + 4x = 60

Which equation represents the tape diagram?

• 4x + 39 = 87

• 43x = 87

• 87 = 4(x + 39)

• 87 = 39(4 + x)

Select ALL equations that are represented in this diagram.

HINT: There is more than one equation representing the diagram!

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If 30 kids in the class like grape juice, how many kids like pineapple juice?  Use the tape diagrams to answer.

• 4

• 30

• 70

• 40

• 4
• 12
• 3
• 36

Which equation matches the tape diagram?

• 5(h + 2) = 20

• 5 + (h + 2) = 20

• 5h + 2 = 20

• h + 10 = 20

Find the value of h.

• 4

• 2

• 5

• 10