Simplifying Expressions
Use the distributive property to give the equivalent expression.
5(6x -7)
30x - 35
Factor the expression using the GCF:
27x + 18
9(3x + 2)
2s-3=1
s=2
Use the distributive property to give the equivalent expression.
4(2.7x - 3.2)
10.8x - 12.8
-6x + 5 = -41
For the isosceles triangle that Mr. Gregory draws, if the perimeter is 75, write and solve an equation to represent the perimeter if you know one side length is 25.4
_
2x + 25.4 = 75
x = 24.8
Simplify the expressions by combining like terms:
12x + 7x + 7 - 5x + 13
14x + 20
An equilateral octagon has one side length that is 2x + 7. What expression represents the perimeter?
16x + 56
13=0.6x-3.8
x = 28
For the complementary angles that Mr. Gregory draws where Angle 1 is (2x + 5) and Angle 2 is (4x + 25), write and solve an equation for x.
___
2x + 5 + 4x + 25 = 90
OR 6x + 30 = 90
x = 10
A quadrilateral has four side lengths represented by the following expressions:
(2x + 5), (1/2x - 5), (5x), (4x - 7)
What is the expression that representes the perimeter?
9 1/2 x -7
A square's perimeter is represented by the expression 12x - 16. What is the expression that represents one side length?
3x - 4
OR
4(3x - 4)
7(x-4)=56
x = 12
Henry is remodeling a kitchen and needs some wiring installed for additional outlets. An electrician provides him an estimate which includes a one-time service fee of $51.75 plus an hourly rate of $25.50.
a) What is the unknown value in this situation?
b) Write the expression that gives the total cost for any number of hours for this job.
a) How many hours?
b) 51.75 + 25.50h
For the angles that Mr. Gregory draws, write and solve an equation for the supplementary angle relationship given.
Angle 1 is (5x + 10)
Angle 2 is (3x + 2)
_
x = 21