ALGEBRA
A.) Solve each equation by reversing the given equation. Then, check by using substitution.
1. m / 2 = 17
m = (2)(17)
m = 34
Checking by substitution
Let m = 34
m / 2 = 17
34 / 2 = 17
17 = 17 (True)
B.) Fill in the blanks to make the statements true.
1. If x + 4 = 3, then x is -1
x + 4 = 3
x = 3 - 4
x = -1
2. If 3x + 6 = 12, then 3x is 6
3x + 6 = 12
3x = 12 - 6
3x = 6
3x / 3 = 6 / 3
x = 2
Let x = 2
3x
3(2)
= 6
3. If 2x + 8 = 12, then x + 4 is 6
2x + 8 = 12
2x = 12 - 8
2x = 4
2x / 2 = 4 / 2
x = 2
Let x = 2
x + 4
2 + 4
= 6
4. If x + 5 = 4, then - x - 5 is - 4
x + 5 = 4
x = -5 + 4
x = - 1
Let x = -1
-x - 5
-(-1) - 5
1 - 5
= - 4
5. If 2x + 4 = 3x - 5, then 3x - 2x is 9
2x + 4 = 3x - 5
5 + 4 = 3x - 2x
x = 9
Let x = 9
3x - 2x
3(9) - 2(9)
27 - 18
= 9
6. If x - 8 = 24, then x is 32
x - 8 = 24
x = 8 + 24
x = 32
7. If 21 - 5x = 2, then 5x is 18
21 - 5x = 2
21 - 2 = 5x
19 = 5x
19 / 5 = 5x - 5
x = 3.8
Let x = 3.8
5x
5(3.8)
= 18
8. If 4x + 2 = 8, then x + 1 is 2.5
4x + 2 = 8
4x = 8 - 2
4x = 6
4x / 4 = 6 / 4
x = 1.5
Let x = 1.5
x + 1
1.5 + 1
= 2.5
9. If x - 5 / 7 = 10, then x + 5 = 80
x - 5 / 7 = 10
x - 5 = (10)(7)
x - 5 = 70
x = 70 + 5
x = 75
Let x = 75
x + 5
75 + 5
= 80
