Section D Section D Checkpoint

Problem 1

For each expression, write an equivalent expression with fewer terms.

  1. 7x+10y2x+8y7x + 10y - 2x + 8y
  2. (7x+10y)(2x+8y)(7x + 10y) - (2x + 8y)
Show Solution
Solution
  1. 5x+18y5x + 18y (or equivalent)
  2. 5x+2y5x + 2y (or equivalent)
Show Sample Response
Sample Response
  1. 5x+18y5x + 18y (or equivalent)
  2. 5x+2y5x + 2y (or equivalent)

Problem 2

  1. Expand the expression -5(4f3g)\text-5(4f - 3g).
  2. Factor the expression -12a+30b18\text-12a + 30b - 18.
Show Solution
Solution
  1. -20f+15g\text-20f + 15g (or equivalent)
  2. 6(-2a+5b3)6(\text-2a + 5b - 3) (or equivalent)
Show Sample Response
Sample Response
  1. -20f+15g\text-20f + 15g (or equivalent)
  2. 6(-2a+5b3)6(\text-2a + 5b - 3) (or equivalent)