Distributive Property and Factoring Linear Expressions

Distributive Property 1

100

2 (x + y)

2x + 2 y

200

9(4y + x )

36y + 9x

300

5 (x - 7)

5x - 35

400

8(12 - y)

96-8y

500

Distribute then simplify

4 (2x + 3) +10x

18x + 12

Distributive Property 2

100

4 (7b + 5c)

28b + 20c

200

8 (2+a)

16+8a

300

6 (7+2b+c)

42 + 12b + 6c

400

2 (3x + 4y)

6x + 8y

500

Distribute then simplify.

12 (5x - 2) + 27

60x + 3

Factoring 1

100

15a + 20b

5(3a+4b)

200

28e + 21

7(4e+3)

300

18a-15a

3a(6 - 5)

400

12s + 48b

12(1s+4b)

500

7b+21b+35t

7(1b+3b+5t)

Factoring 2

100

21a + 18b

3(7a+6b)

200

6f-6

6(f-1)

300

15a-3a

3a(5-1)

400

51c+17v

17(3c+1v)

500

24ax - 40ay+8a

8a(3x-5y+1)

Unit Rate : Cullen's

100

Tide detergent costs $12.16 to do 64 loads of laundry. What is the unit rate? ($ per load)

19 cents per load

200

Gain detergent costs $21 to do 100 loads of laundry. What is the Unit Rate? ($ per load)

21 cents per load

300

At McDonald’s, Cullen paid $14.19 for 11 hamburgers. How much did he pay for each burger?

$1.29

400

If Mr. Anderson paid $5.94 for 6 hamburgers. How much did he pay for each hamburger?

0.99 or 99 cents

500

Store A charges $5.45 for 5 candy bars. Store B sells 7 candy bars for $7.56. Which store has the better deal on candy bars?

Store B has the better deal as at their store each candy bar is $1.08 whereas store A is $1.09