Equations (one side)
2x + 3 = 9
x=3
3x > 9
x>3
-4x < 12
x>-3
When is the circle filled in for inequalities
When the problem states less than or equal to or greater than or equal to (look for the underlined < or >)
Simplify: 5(x - 2)
5x - 10
3a - 4 = 8
a=4
4a + 2 < 14
a<3
18 < -3x
-6>x
When do you not fill in the circle on the number line for inequalities
For < or >
Simplify: 4x - 5 - x + 2
3x - 3
2x + 9 = 27
x = 9
2x + 2 > 100
x > 49
-2x + 4 < 14
x>-5
What is the first step when solving 2 step inequalities or 2 step equations
Undo the addition or subtraction
Factor out using the GCF.
5x + 20
5(x + 4)
2x - 10 = 55
x= 65/2 or 32.5
x < 11
-7x + 3 < -18
x>3
What is the second step when solving 2 step inequalities or 2 step equations
Multiply or Divide
Factor out using the GCF.
21m - 35n
7(3m - 5n)
3x - 2 = 1
x=1
7(x + 2) < 70
x < 8
2x + 3 - 4x < -17
x>10
When do you flip the inequality sign?
When you multiply both sides by a negative number or when you divide by a negative number on both sides.
Simplify: (-x + 2y) - (6x - 3y)
-7x + 5y