1.4: The Distributive Property

1.4: The Distributive Property

Lesson EQ: How can you use the Distributive Property to simplify algebraic expressions?

Multiple Choice

Distribute

2(4 + 9w)

• 8+9w

• 2+9

• 8+18w

• 2+9w

Multiple Choice

Distribute

2(4x - 7)

• 8x -14

• 8x-7

• 6x+7

• 8x+14

Multiple Choice

Distribute

(b + 8)5

• b + 40

• 5b - 40

• 5b + 40

• 5b + 8

Multiple Choice

Distribute

4(x - 6)

• 24 - 4x

• 4x - 6

• x - 24

• 4x - 24

Multiple Choice

Distribute.

2(c - 8)

• 2c - 16

• 2c + 16

• 2c - 8

• c - 16

Multiple Choice

• 5x-8
• -5x-8
• -5x+8
• 5x+8

Multiple Choice

• -24x+36
• 24x+36
• -24x+32
• 24x-32

Multiple Choice

• -16x+32
• 16x-32
• -16x-32
• 16x-32

Multiple Choice

• 10x-10
• -10x-10
• 20x-5
• -20x-10

Multiple Choice

• x-3
• -x+3
• -x-3
• x+3

Multiple Choice

Distribute then Combine Like Terms

-7x +5 (1 - 8x)

• -33x + 5

• 5 + 33x

• 47x + 5

• 5 - 47x

Multiple Choice

Distribute then Combine Like Terms

2(3x - 1) + 10

• 6x + 12

• 6x + 8

• 6x + 9

• 6x - 8

Multiple Choice

Distribute then Combine Like Terms

9x + 5(x + 3)

• 9x + 15

• 45x + 27

• 14x + 42

• 14x + 15

Multiple Choice

Distribute then Combine Like Terms

12(4x + 5) + 10x

• 58x + 20

• 58x + 60

• 38x + 20

• 10x + 20

Multiple Choice

Distribute then Combine Like Terms

5(-8n +5) -4n

• -44n + 25

• 36n + 25

• 36n -25

• -44n + 5

Multiple Choice

Distribute then Combine Like Terms

8(5f - 7) + 3f

• 43f - 7

• -13f

• 43f - 56

• 40f -7 + 3f

Multiple Choice

Distribute then Combine Like Terms

3(9 + 2d) + 4d

• 18d+10d

• 18d-10d

• 27+10d

• 37d

Multiple Choice

Distribute then Combine Like Terms

6x - 2(3 - 2x)

• 10x - 6

• 10x - 9

• 6x - 4

• 2x - 6

Multiple Choice

Distribute then Combine Like Terms

-6x + 4(-x - 3)

• -2x - 12

• 10x + 12

• -10x - 12

• -2x + 12

Multiple Choice

Distribute then Combine Like Terms

6(3x + 5) + 2(x - 4)

• 11x + 22

• 20x + 22

• 20x + 1

• 18x + 26