Distribute & Simplify
Factor
Words --> Expressions
Writing Expressions
Equivalent Expressions
100

3(x+8)

3x+24

100

12x+18

6(2x+3)

100

The quotient of 10 and p

10/p

100

Mrs. Boeldt went to Bath & Body Works because she had a 20% off coupon for her entire purchase. Write and equivalent expression to represent how much she will pay. Use p as your variable.

p-0.2p OR 0.8p
100

3(a-4b)+2a ?=? -12b+5a

Yes (5a-12b)

200

-4(4y-6)

-16y+24

200

14m-49

7(2m-7)

200

7 less than y

y-7

200

Rachel went out to dinner with some of her friends. She got her bill for b dollars and plans to leave a 19% tip. Write and expression that will represent the total she will pay. 

b+0.19b OR 1.19b

200

y+2y-5+3 ?=? 3+(3y-5)

Yes (3y-2)

300

4x+3(6y-9)-2x

2x+18y-27

300

72m-120n+168

24(3m-5n+7)

300

Add 4 to y, multiply the result by negative 6

-6(4+y)

300

At the candy shop, every scoop of candy costs d dollars. Mr. Wallace bought 2 scoops of Sour Patch Kids, 3 Scoops of Sour Gummy Worms, and 3.5 scoops of Skittles. Write and equivalent expression to represent how much Mr. Wallace spent at the candy store

d(2+3+3.5)

8.5d

2d+3d+3.5d

300

2-3(y+4)+2y ?=? 2-4(1-2y)-7y

No, -2-y vs -2+y

400

7x-5(2x+3y)+8y

-3x-7y

400

27b-63c-72d

9(3b-7c-8d)

400

Subtract 9 from k, multiply the result by 5, then add 4

5(k-9)+4

400

Ryder gets paid $12.75 an hour at his job. On Monday he worked x hours, Tuesday he worked y hours, and Friday he worked z hours. Write an expression that represents how much he made this week.

12.75(x+y+z)

12.75x+12.75y+12.75z

400

6k-7(-k-7) ?=? -4k+5(4k+6)+19

No, 13k+49 vs 16k+49

500

-4(x+2)-8(3x-y)+19y-6

-28x+27y-14

500

105x-45xy+90xz

15x(7-3y+6z)

500

Find the product of -3 and x, then add 4. Multiply that result by negative 5. Find the quotient of the entire result and 8

(-5(-3x+4))/8

500

Mrs. Vande Vyver went on a shopping spree and spent s dollars. She paid 6.7% in sales tax. Write an expression that will represent how much she paid. 

s+0.067s OR 1.067s

500

9(7h-4k)+10k-5(6k-7h) ?=? 8(-2k+7h)+14h-5(8k-4h)

Yes, 98h-56k