Unit 6 Algebraic Expressions

5m − 17 − 5 + 2m

• 7m − 22
• 7m − 12
• 7m + 12
• 3m − 22

20 − 10s − 7s +9

• 3s − 29
• 3s + 29
• −17s + 11
• −17s + 29

−15k − 1 + 12 + 2k

• 17k + 11
• −13k + 11
• −17k + 13
• −13k + 13

12h − 13 − h − 9 + 10h

• 21h + 4
• 21h − 22
• h + 4
• h − 22

10 − 7w − 13 − 7w + 15

• −14w + 12
• −14w + 18
• −14w + 38
• −14w − 12

10g − 7h + 11 + 8g − h − 12

• 18g − 6h − 1
• 18g − 8h − 1
• −2g − 6h − 1
• 2g − 6h − 1

−c + 5d + 7c − 11d + d − 3c

• 9c − 5d
• 5c + 17d
• 3c − 5d 
• 5c − 5d

Expand using the distributive property.
4( 2y − 8 )

• 8y −8
• 8y + 32
• 8y − 32
• 8y − 36

Factor using the GCF.
49w + 21

• 7(7w + 3)
• 7w ( 7 + 3)
• 7(7 + 3w)
• 7(7w + 7)

Factor by the GCF.
48j − 24

• 12 (4j − 2)
• 24(2j − 1)
• 8(6j − 3)
• 6(8j − 4)