Simplifying Expressions Using Distributive Properties

Correct Work on Simplifying Expressions

Work Time

Correct Work on Simplifying Expressions

Karen, Lucy, Jack, and Marcus each simplified the expression he or she wrote for this problem.

  • Whose solution is correct?
  • What mistakes did the other students make?

Hint:

  • When you simplify an expression, write an equivalent expression that is as simple as possible. It should not contain any parentheses. It should have only one term with each variable and only one number without a variable. Examples:
    2(x – 4) = 2x – 8
    and
    x + 5x + 4x = (1 + 5 + 4)x = 10x
  • Can you use the distributive property to rewrite expressions?
  • Remember: Multiplying two negative integers results in a positive product.