Vocabulary
What is a variable term?
a number with a letter
What is the first step to solving this?
2(3j + 5) = 7
distribute
x - 2 = 10
x = 12
5(2m - 3) = 4
m = 1.9
x - 4 = 2x
x = 4
What is the definition of the addition property of equality?
adding the same number to each side of an equation
What is the second step in this equation?
2(3 + 5x) = 7
work outward in and subtract 6
x/4 = -6
x = -24
12 - 5m(2 + -7m) = 8
m = .16
11 + 2p = p + 4
p = -7
What is the definition subtraction of equality?
Subtracting the same number from each side of an equation
If you were answering 2x - 8 + 4 = 6, what is the 3rd step to solving and what is the answer?
work outward in; x = 5
8a = 48
a = 6
-8p - 4 = -9 - 3p
p = -1
4(3r + 4)=-8(2r + 5)
r = -2
What is the definition of the multiplication property of division?
multiplying each side of the equation by the same number
What is the 3rd step in this equation?
4(x + 5x) = 6
Use inverse operations by dividing by 24
-14x + 5 = 33
x = -2
4m(-6 + 2) - (3m - 2) = 5
m = 1/8
2(x + 4) = 2x - 1
no solution
What is division of equality?
dividing each side of an equation by the same number
What are the steps IN ORDER to solve a multi-step equation?
1. Simplify
2. Work outward in
3. Use inverse operations
4. Balance
2/6x + 1/2 = 18
x = 52.5 or 105/2
-5(1 - 5x) + 5(-8x - 2) = 3
x = 0.13
-2/3(5/2a + 7/3) = 8/3(a - 7/2) - 2a
a = 10/3