Distribute & Simplify
3(x+8)
3x+24
12x+18
6(2x+3)
The quotient of 10 and p
10/p
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.
Are these expressions equivalent?
3(a - 4b) + 2a = -12b + 5a
Yes (5a-12b)
-4(4y-6)
-16y+24
14m-49
7(2m-7)
7 less than y
y-7
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
Are these expressions equivalent?
y + 2y- 5 + 3 = 3 + (3y - 5)
Yes (3y-2)
4x + 3(6y - 9) - 2x
2x+18y-27
72m-120n+168
24(3m-5n+7)
Add 4 to y, multiply the result by negative 6
-6(4+y)
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
Are these expressions equivalent?
2 - 3(y + 4) + 2y = 2 - 4(1 - 2y) - 7y
No, -2-y vs -2+y
7x -5(2x + 3y) + 8y
-3x-7y
27b-63c-72d
9(3b-7c-8d)
Subtract 9 from k, multiply the result by 5, then add 4
5(k-9)+4
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
Are these expressions equivalent?
6k -7(-k - 7) = -4k +5(4k + 6) + 19
No, 13k+49 vs 16k+49
-4(x+2)-8(3x-y)+19y-6
-28x+27y-14
105x-45xy+90xz
15x(7-3y+6z)
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
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
Are these expressions equivalent?
9(7h - 4k) + 10k - 5(6k - 7h) =
8(-2k + 7h) + 14h- 5(8k - 4h)
Yes, 98h-56k