Equations (one side)
2x + 3 = 9
x=3
2x + 3 = 3x - 3
x=6
3x > 9
x>3
-4x < 12
x>-3
What is the first step in solving equations or inequalities?
Simplify (combine like terms, get variable to one side)
3a - 4 = 8
a=4
4w - 9 = 1 + 2w
w=5
4a + 2 < 14
a<3
18 < -3x
-6>x
What is the second step in solving equations or inequalities?
Solve (PEMDAS backwards)
6r - 2 + 3r = 7
r=1
7y - 3y = 8y - 32
y=8
3x + 4 + 2x < 39
x<7
-2x + 4 < 14
x>-5
What should you do to simplify when you see an inequality or equation that has a coefficient multiplying a group.
ex: 3(2x + 5) = 28
1.5x + 3 + 1.5x = 9
x=2
-2x + 6 = 3x -19
x=5
-3r + 16 > 2r - 24
r>8
-7x + 3 < -18
x>3
How many solutions are there with inequalities?
Many, infinity
1/3x - 2 = 1
x=9
-2.5x + 5 = 2.5x - 15
x=4
7(x + 2) < 70
x < 8
2x + 3 - 4x < -17
x>10
What should you do when dividing by a negative coefficient with inequalities?
Flip the inequality sign