Solving Equations
Algebraic Proportions
Order of Operations
Solving Absolute Value Equations
Combine Like Terms/Distributing
One, Zero, and Infinite Solutions
100
Solve: -16 = 4x – 12
x = -1
100
7/(x-8) = 3/x
x = -6
100
Simplify the following expression:
62
100
|x − 2| = 6
x = {-4, 8}
100
Distribute: 5(3x - 8)
15x - 40
100
Solve and determine if there is one solution, no solution, or infinite solutions:
-28 = -7(3x +4) + 21x
Infinite solutions
200
Solve: 5i + 4 = 14 + 4i
i = 10
200
(h + 9)/5 = (h - 1)/3
h = 16
200
Simplify the following expression:
5
200
1/4|2x − 6| + 1 = 2
h = {1, 5}
200
Distribute: - (x - 4)
-x + 4
200
Solve and determine if there is one solution, no solution, or infinite solutions:
4(m − 1) + 5 = −(1 − 4m)
No solution
300
Solve: -3(2h – 4) = 20 – 4h
h = -4
300
5/(x - 3) = 7/(x - 9)
x = -12
300
32 - 3[(52-9)/2]
-15
300
3|4x − 1| = 9
x = {1, -1/2}
300
8 + 4x + 1 - 12 + 5x
9x - 3
300
Solve and determine if there is one solution, no solution, or infinite solutions:
−21 − 8a = −1 + 6(4 − 5a)
One solution, a = 2
400
13w - 2(4w + 1) = w - 58
w = -14
400
5/6 = (x - 10)/(3x + 6)
x = -10
400
45
400
|3x + 12| + 7 = 7
x = -4
400
-11j + 16 - 22j - 27 + 5j
-28j - 11
400
Solve and determine if there is one solution, no solution, or infinite solutions:
12 + 4n = 4(n + 3)
Infinite solutions
500
(x + 4)/10 +10 = 5
x = -54
500
10/(2x - 10) = 2/(x - 2)
x = 0
500
30
500
3|x - 4| + 1 = 19
x = {-2, 10}
500
Combine like terms:
9y + 3 - 4x -2y - 3x - 5
7y - 7x - 2
OR
-7x + 7y - 2
500
Solve and determine if there is one solution, no solution, or infinite solutions:
267 = 5(8n + 4) + 7
n = 6
One solution