Combine Like Terms
18p - 6 - 3p + 9
15p + 3
Simplify using the Distributive Property. Combine like terms if needed.
3.5(r - 6)
3.5r - 21
Simplify and create an equivalent expression.
5(3w - 6) - 3w
12w - 30
Solve for the variable.
-5x + 9 = -31
-5x + 9 = -31
-5x = -40
x = 8
A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. Write an equation to represent the cost for 1 square foot of flooring. How much does 1 square foot cost?
80 + 60x = 287
60x = 207
x = 3.45
Combine like terms.
5d - 7 - d + 5
4d - 2
Simplify using the Distributive Property. Combine like terms if needed.
-9(3x - 9)
-27x + 81
Simplify and create an equivalent expression.
8y - 0.5(6y - 20)
5y + 10
Solve for the variable.
3x + 12 = -48
3x + 12 = -48
3x = -60
x = -20
A mom bought her kids 3 cartons of milk for $2.25 each and 5 doughnuts. The total cost was $10. Write an equation to determine the cost of one doughnut. How much does 1 doughnut cost?
2.25(3) + 5x = 10
6.75 + 5x = 10
5x = 3.25
x = 0.65
Combine like terms.
7.6c + 6 - 3.4c - 10
4.2c - 4
Simplify using the Distributive Property. Combine like terms if needed.
6 + 4.5(3x - 9)
6 + 13.5x - 40.5
or
13.5x - 34.5
Write an expression to represent the perimeter of a rectangle with the following dimensions:
length: 2x - 3
width: x + 2
(2x - 3) + (2x - 3) + (x + 2) + (x + 2)
or
6x - 2
Solve for the variable.
-6x - 40 = 20
-6x - 40 = 20
-6x = 60
x = -10
Mr. Peters just purchased a total of 8 shrubs and trees for his yard. The total bill was $260. The shrubs were $25 each, and the trees cost $110 in total. Write an equation to determine the number of shrubs purchased.
25x + 110 = 260
25x = 150
x = 6 shrubs
Combine like terms.
-9y - 10 + 5y - 14y - 3
-18y - 13
Factor using the GCF.
15x - 25y
5(3x - 5y)
Simplify and create an equivalent expression.
9y - 3(5y - 4)
-6y + 12
Solve for the variable.
x/4 + 5 = 30
x/4 + 5 = 30
x/4 = 25
x = 25 times 4
x = 100
Mr. Peters just purchased a total of 8 shrubs and trees for his yard. The total bill was $260. The shrubs were $25 each, and the trees cost $110 in total. Write an equation to determine the number of shrubs purchased. Once you know how many shrubs there are, determine how many trees were purchased and for what price EACH?
25x + 110 = 260
25x = 150
x = 6 shrubs
2 trees were purchased for $55 each.
Combine like terms.
1/2s + 3/4s - 1/4s + 4
s + 4
Factor using the GCF.
-6b - 15
-3(2b + 5)
or
3(-2b - 5)
Simplify and create an equivalent expression.
-4(3 - 4y) - 7
-19 + 16y
or
16y - 19
Solve for the variable.
45 = -9(-x + 6)
45 = -9(-x + 6)
45 = 9x - 54
99 = 9x
x = 11
Who is the best math teacher on the planet?????
Duh! Mrs. Syverson!