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IM: 6.6.1: Tape Diagrams and Equations (Practice)

Last updated 11 months ago

11 questions

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Question 9

9.

A shopper paid $2.52 for 4.5 pounds of potatoes, $7.75 for 2.5 pounds of broccoli, and $2.45 for 2.5 pounds of pears. What is the unit price of each item she bought? Show your reasoning.

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Here is an equation: x + 4 = 17

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Question 1

1.

Draw a tape diagram to represent the equation.

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Question 2

2.

Which part of the diagram shows the quantity x? What about 4? What about 17?

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Question 3

3.

How does the diagram show that x+4 has the same value as 17?

Diego is trying to find the value of x in 5 \sdot x = 35. He draws this diagram but is not certain how to proceed.

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Question 4

4.

Complete the tape diagram .so it represents the equation 5 \sdot x = 35.

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Question 5

5.

Find the value of x.

Question 6

6.

Match each equation to one of the two tape diagrams.


x + 3 = 9
3 \sdot x = 9
9 = 3 \sdot x
3 + x = 9
x = 9 - 3
x = 9 \div 3
x + x + x = 9

For each equation, draw a tape diagram and find the unknown value.

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Question 7

7.

x + 9 = 16

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Question 8

8.

4 \sdot x = 28

Question 10

10.

A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.

Question 11

11.

The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of milk has 25% of the recommended daily allowance of calcium. How many milligrams of calcium are in a cup of milk? If you get stuck, consider using the double number line.