Equations (one side)
Equations (two sides)
Inequalities
Inequalities Part 2
Rules
100
2x + 3 = 9
x=3
100
2x + 3 = 3x - 3
x=6
100
3x > 9
x>3
100
-4x < 12
x>-3
100
What is the first step in solving the following equation?
2(x+1)=-8x
Distribute the 2
200
3a - 4 = 8
a=4
200
4w - 9 = 1 + 2w
w=5
200
Solve and then graph the inequality
4a + 2 < 14
a<3
200
18 < -3x
-6>x
200
What is the second step in solving the following inequality?
2(x-5)<10x-5
Move all the variables to one side and all the constants to the other side.
300
6r - 2 + 3r = 7
r=1
300
7y - 3y = 8y - 32
y=8
300
3x + 4 + 2x < 39
x<7
300
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300
What is the result of the first step?
ex: 3(2x + 5) = 28
6x+15=28
400
3x + 3 + 5x = 19
x=2
400
-2x + 6 = 3x -19
x=5
400
-3r+16>=2r-24
r>=8
400
-7x + 3 < -18
x>3
400
How many solutions are there in this equation?
x+4=x+2
No solution
500
1/3x-2=1
x=9
500
10x+5=10x-15
x=1
500
7(x + 2) < 70
x < 8
500
2x+3-4x<=-17
Solve and graph the inequality. Then write in interval notation.
x>=10
[10, +infinity)
500
What should you do when you divide or multiply an inequality by a negative?
Flip the inequality sign