Simplifying Expressions
Simplify 3(2x+5)
6x+15
Solve 3(2x+5) = -3x-3
x = -2
What solution type is shown?
x = 6
One solution
Rearrange the equation to solve for g:
a-c+g = b
g = b-a+c
What is the difference between an expression and an equation?
An equation has an equal sign and an answer. An expression does not.
Simplify -4(2x+6)
-8x-24
Solve -2(2a-7) = -8a-6
a = -5
What solution type is shown?
x+6 = x+6
Infinite solutions
Rearrange the equation to solve for x:
2x+t-p = 6r+m
x = (6r+m-t+p) / 2
What is the first step in solving multi-step equations?
Use the distributive property.
Simplify -7(-9x-15)+12x-54
75x+51
Solve 5(6-2x) = -(x+15)
x = 5
What solution type is shown?
3x+5 = 3x+12
No solutions
Rearrange the equation to solve for w:
w/4 +t-h = 2x-r
w = 4(2x-r-t+h)
If your variables don't cancel out, which solution type is it?
One solution.
Simplify -15(10x+12)-4(-3x+5)
-138x-200
Solve 3(-3b-7)+66 = 5(9-4b)+10b
b = 0
What solution type is shown?
-4(2x+1) = -4(2x-6)
No solutions
Rearrange the equation to solve for q:
(qhw)/t = r/s
q = rt/shw
The sum of two consecutive integers is -53. What are the two integers?
-26 and -27
Simplify -(2x+4)-8(9x+5)+10(-2x-16)
-94x-204
Solve 1/2 (-14x+32)+5x-4 = 4(x+12)-48
x = 2
What solution type is shown?
-3(6x+1) = -3(8x+1)
One solution
Rearrange the equation to solve for s:
xj/s = (y+t)/g
s = (gxj)/(y+t)
A rectangle's width is 6 meters shorter than twice its length. The perimeter is 60 meters. What are the dimensions of the rectangle?
W = 12
L = 18