Subtract, Distribute, and Factor Expressions

Factor: 12s + 18r

• 2(9s + 6r)

• 6(2s + 3r)

• 3(6s + 4r)

• 6(3s + 2r)

Distribute: 5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Distribute: 8(a + 6)

• 8a + 6

• a + 48

• 8a + 48

• 8a - 48

Factor: 10x + 15

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

• 3a + 3b - 8

• 3a + 11b - 10

• 3a + 3b - 10

• 3a - 11b - 10

Find the difference:

(4a - 3b) - (7a + 9b)

• 11a + 12b

• -3a + 12b

• -3a - 12b

• -3a + 12b

Subtract 2x + 1 from -3x + 2

• -5x + 1

• 5x - 1

• -x + 1

• -5x - 1

Distribute:  - 3( -2r + 10t - 3 )

• 6r - 30t - 3

• -6r + 30t - 9

• 6r - 30t + 9

Factor:

40x + 32y - 8

• 8(5x + 4y - 1)

• 8(5x + 4y - 8)

• 5x + 4y - 1

• 8

Are the two expressions below equivalent?  Explain.

 

    -2(x + 3) + 6             and              -2x

• Yes. When you distribute -2 to x + 3 you get -2x + -6 + 6 which simplifies to -2x. Both expressions have the same terms when written in standard form.

• No. When you write each expression in standard form the terms are different.