Equivalent Expressions with Tape Diagram

Select all the equations represented by the diagram

• 39 + 4x = 87

• 87 - 39 = 4x

• 4x + 39 = 87

• 39x + 4x = 87

• 87 = 4x + 39

Which equation matches the tape diagram?

• 3 + x = 44

• 4(3 + x) = 44

• 3 - x = 44

• 3(x + 4) = 44

Label the corresponding parts in the equation.

a

b

c

d

e

constant

variable

distributive property

coefficient

equivalent expressions

A visual model that uses rectangles to represent the parts of a ratio is called...

• Table

• Ratio Relationship

• Tape Diagram

• Equivalent Ratio

Which equation represents the tape diagram?

• 4x + 39 = 87

• 43x = 87

• 87 = 4(x + 39)

• 87 = 39(4 + x)

Which equation represents the tape diagram?

• 50 = 5 + 18 + 3x

• 50 = 5 + 18 + 3

• 50 = 26x

• 50 + 3x = 5 + 18

Which equation does NOT represent the tape diagram shown?

• 30 = 5(y+2)

• 30 = 5y + 10

• 5(y+2) = 30

• 30 = 5y + 2

What is the value of y in the tape diagram shown?

• y = 6

• y = 5

• y = 4

• y = 25

Which equation represents the tape diagram?

• 40 = 5w - 2

• 40 = 5(w - 2)

• 40 = w - 10

• 40 = 5 (w + 2)

Which equation represents the tape diagram?

• 44 = 4(3 + x)

• 44 = 12 + x

• 44 = 4x + 3

• 44 - 3 = x