Expand 7(x + 4).
7x + 28
Multiply the outside factor by every inside term, including the constant.
Day 087Distributing a Factor
Standards 6.EE.A.3
LEARNING TARGET
I can use distribution to generate an equivalent expression.
01 · LEARN
Build the idea
Multiply the factor outside parentheses by every term inside. The two expressions have the same value for every allowed input. An area model can show how one rectangle splits into smaller rectangles.
Expand 3(7x + 4). Verify your result at x = 2.
21x + 12; both give 54 at x = 2
Multiply the outside factor by every inside term, including the constant.
02 · PRACTICE
Your turn
Work in order. Start with the foundations, then build toward explanation and application.
Expand 5(x + 2).
Expand 8(x + 2).
Expand 7(x + 2).
Expand 3(4x + 6).
Expand 7(4x + 3).
Expand 7(4x + 2).
Expand 3(7x + 4). Verify your result at x = 2.
Expand 5(2x + 5). Verify your result at x = 2.
Expand 8(5x + 6). Verify your result at x = 2.
Expand 8(6x + 3). Verify your result at x = 2.
03 · CHECK
Answers and reasoning
Reveal the teacher answer key
- 5x + 10
Multiply the outside factor by every inside term, including the constant.
- 8x + 16
Multiply the outside factor by every inside term, including the constant.
- 7x + 14
Multiply the outside factor by every inside term, including the constant.
- 12x + 18
Multiply the outside factor by every inside term, including the constant.
- 28x + 21
Multiply the outside factor by every inside term, including the constant.
- 28x + 14
Multiply the outside factor by every inside term, including the constant.
- 21x + 12; both give 54 at x = 2
Multiply the outside factor by every inside term, including the constant.
- 10x + 25; both give 45 at x = 2
Multiply the outside factor by every inside term, including the constant.
- 40x + 48; both give 128 at x = 2
Multiply the outside factor by every inside term, including the constant.
- 48x + 24; both give 120 at x = 2
Multiply the outside factor by every inside term, including the constant.