Section A Section A Checkpoint

Problem 1

5(x+4)=805(x+4) = 80

<p>Tape diagram, 5 parts, x + 4, x + 4, x + 4, x + 4, x + 4, total 80.</p>

Explain how the equation represents the diagram.

Show Solution
Solution
Sample response: They both have 5 equal parts of an unknown amount that has been increased by 4, and both have a total of 80.
Show Sample Response
Sample Response
Sample response: They both have 5 equal parts of an unknown amount that has been increased by 4, and both have a total of 80.

Problem 2

The seventh-grade teachers plan to order 36 new workbooks. When they place the order, they learn that shipping will cost a total of $17. The final cost for the workbooks is now $468.

  1. Write an equation to represent the situation. If you get stuck, try drawing a diagram.
  2. What does your variable represent?
Show Solution
Solution
  1. 36x+17=46836x+17 = 468 (or equivalent)
  2. Sample response: xx represents the cost of each workbook.
Show Sample Response
Sample Response
  1. 36x+17=46836x+17 = 468 (or equivalent)
  2. Sample response: xx represents the cost of each workbook.