Properties
One and Two Step Equations
Mixed Review
Multi-Step Equations
Equations with Variables on Both Sides
1
If a=b, then ca=cb.
Multiplication Property of Equality
1
5x = -80
x= -16
1
In the expression 3x+7, what is the 3 called?
Coefficient
1
Solving Equations
2n+10 = 4
n = -3
1
4x - 2 = 3x + 5
x = 7
2
If a=b, then a+c=b+c.
Addition Property of Equality
2
x + 12 = 0
x= -12
2
In the expression 3x+7, what is the 7 called?
Constant
2
Solving Equations
-5p + 1 = 6
p = -1
2
2(x - 4) = 5x + 4
x = -4
3
If a=b, then
a/c=b/c
Division Property of Equality
3
6x – 13 = 11
x= 4
3
In the expression 3x+7, what is the x called?
Variable
3
Solving Equations
-45 = 3x + 4 + 4x
x = -7
3
6x + 3 - 2x = 2x + 11
x = 4
4
If 3x=12 and x=4, then 3(4)=12.
Substitution Property of Equality
4
Solve the following:
Equation: 2x+4=-10
Solution: x=-7
4
Solve:
3x+8=8+3x
Inf. Many Solutions OR All Real Numbers
4
Solving Equations
14 = -(2a + 6) + 2
a= -9
4
9 - x = 6 + 2x
x = 1
5
If a=b, then a-c=b-c.
Subtraction Property of Equality
5
x/2+2 =-8
x= -20
5
Solve:
5x+7=5x-8
No Solution
5
Solving Equations
-21 = 7(5k - 8)
k = 1
5
6x - 15 + 4x = 5(2x - 3)
Inf. Many Solutions OR All Real Numbers