Section A Section A Checkpoint

Problem 1

The diagram represents the cost, in dollars, of a card game and a video game.

diagram. two rectangles.
diagram. two rectangles. bottom rectangle, video game. partitioned into 7 equal parts, total length 42. Top rectangle, card game. Same size as one of the 7 parts of bottom rectangle.

  1. Write a statement that compares the cost of the card game and the cost of the video game.
  2. Write a multiplication equation that compares the cost of the card game and the cost of the video game.
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Solution

Sample responses:

  1. The cost of the video game is 7 times as much as the cost of the card game. 
  2. 7×?=427 \times {?} = 42 or ?×7=42{?} \times 7 = 42 or 7×6=427 \times 6 = 42 or 6×7=426 \times 7 = 42

Problem 2

Han ran 12 miles in a week. That's 3 times as far as Andre ran. How many miles did Andre run during the week? Explain or show your reasoning.

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Solution

4 miles. Sample responses:

  • Students draw a diagram to show the multiplicative comparison.
  • Andre ran 4 miles because 12÷3=412 \div 3 = 4.
  • 3×?=123\times?=12, so Andre ran 4 miles.

Problem 3

Jada has 23 pennies in her piggy bank. Elena has 4 times as many pennies as Jada in her piggy bank. How many pennies do Jada and Elena have altogether in their piggy banks? Explain or show your reasoning.

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Solution

115. Sample response: Elena has 4×234 \times 23 or 92 pennies in her piggy bank. Then 23+92=11523 + 92 = 115.