Lesson 3.3: Simplify Expressions
Simplify the expression:
4(a + 8)
4a+32
Factor the expression using the GCF.
10+15a
5(2+3a)
Factor out the coefficient of the variable term in the expression:
7x + 49y
*make sure your answer is in simplest form and if necessary, turn your answer into a mixed number.
7(x + 7y)
Simplify the following expression:
10x2-y+12-10x2
-y + 12
Simplify the expression
2.5(6 + 4d)
15 + 10d
Factor the expression using the GCF.
36c+24d
12(3c+2d)
Factor out the coefficient of the variable term in the expression:
2.2x + 4.4
*make sure your answer is in simplest form and if necessary, turn your answer into a mixed number.
2.2(x + 2)
Simplify the following expression:
6.4r - 7 - 2.9r
3.5r - 7
Simplify the expression:
-3/8(-4a + b)
1 1/2a - 3/8b
Factor -1.5 out of -3y + 7.5z.
-1.5(2y -5z)
Factor out the coefficient of the variable term in the expression:
-4h - 10
*make sure your answer is in simplest form and if necessary, turn your answer into a mixed number.
-4(h + 2 1/2)
(6 - 2.7h) + (-1.3j - 4)
-2.7h - 1.3j + 2
Simplify the expression
-1/3(2n+6-9n)
2 1/3n -2
Factor -1/4 out of -1/2x - 5/4y.
-1/4(2x + 5y)
Factor out the coefficient of the variable term in the expression:
-1/2x + 7
*make sure your answer is in simplest form and if necessary, turn your answer into a mixed number.
-1/2(x - 14)
Simplify the following expression:
(1/2h + 7) - (3/2h + 9)
-h-2
A ski resort makes snow using a snow fan that costs $1200. The fan has an average daily operation cost of $9.50. What is the total cost to purchase and operate 6 snow fans?
Hint: Your answer should be an expression with the variable d representing the daily cost
7,200 + 57d
Factor out -3/4 out of 3/2x - 9/4y.
-3/4(-2x+3y)
Factor out the coefficient of the variable term in the expression:
1/4y + 3/8
*make sure your answer is in simplest form and if necessary, turn your answer into a mixed number.
1/4(y + 1 1/2)
Simplify the following expression:
(1 - 5q) - (2.5s + 8) - (0.5q + 6)
-5.5q - 2.5s - 13