Expanding Expressions
3(2x + 2)
6x + 6
A student received a coupon for 20% off the total purchase price at a clothing store. Let d be the original price of the purchase. Write an expression to represent the total cost the student will pay with the coupon.
d - 0.2d
Add the expressions ...
(5x + 4) + (9x + 5)
14x + 9
Subtract the expressions ...
(5x + 4) - (3x + 2)
2x + 2
Factor out the coefficient ...
3x - 6
3(x - 2)
–2(a + 1)
-2a - 2
Mike buys boxes of cookies that each has the same cost. He represents the cost of 6 boxes of sandwich cookies, 5 boxes of chocolate chip cookies, and 2 boxes of gingerbread cookies using the expression 6c + 5c + 2c. What equivalent expression can represent the cost?
13c
Add the expressions ...
(-x + 4) + (-2x - 5)
-3x - 1
Subtract the expressions ...
(11x + 12) - (4x + 9)
7x + 3
Factor out the coefficient ...
7x - 49
7(x - 7)
–4(5z + 2)
-20z - 8
A farmer recently sold a large plot of land. The sale decreased his total acreage by 7%. Let z be the original acreage. Find two equivalent expressions that will give the new acreage.
z - 0.07z
0.93z
Add the expressions ...
(4x + 3) + (-2x + 7)
2x + 10
Subtract the expressions ...
(3x + 8) - (2x + 5)
x + 3
Factor the expressions ...
2.5x-7.5
2.5(x-3)
1/3(3f + 9)
f + 3
Ellena is considering a venue for a party. Let g represent the number of Ellena's guests. Each venue charges a booking fee plus a cost per guest. Ellena wrote the expression (62+35g) - (56+27g) to represent the difference in cost of one venue over the other. Write an equivalent expression to show the difference in cost.
6 + 8g
Add the expressions ...
(3x - 4) + (-2x - 9)
x - 13
Subtract the expressions ...
(9x + 9) - (2x + 1)
7x + 8
Factor the expression using GCF
8x - 12
4(2x - 3)
-1/2(-4y - 10)
2y + 5
An art teacher enlarged a painting the area of a copy of a painting by 49%. Let p represent the area of the original painting. Find two equivalent expressions that could represent the area of the new painting.
p - 0.49p
0.51p
Add the expressions ...
(9x + 11) + (12x + 8)
21x + 19
Subtract the expressions ...
(8x + 8) - (-3x + 4)
11x + 4
Factor the expressions using the greatest common factor...
18x+24y
6(3x+4y)