One-Step Equations
Two-Step Equations
Multi-Step Equations
Variables on Both Sides
100
Solve for x:
5x = 20
(When you see it written 5x that means the same thing as 5*x)
x = 4
WORK
5x = 20
5x
/5
= 20
/5
x = 4
100
Solve for t:
-t + 8 = 3
t = 5
WORK
-t + 8 = 3
-t + 8
- 8
= 3
- 8
-t = -5 [which is the same thing as -1t = -5]
-1t
/-1
=-5
/-1
t = 5
100
Solve for x:
-8(2x - 1) = 36
x = -7/4
WORK
-8(2x - 1) = 36
-16x + 8 = 36 [Distributive Property]
-16x + 8
- 8
= 36
- 8
-16x = 28
-16x
/(-16)
= 28
/(-16)
x = -7/4
100
Solve for p:
1.5p = 1.25p + 8
p = 32
WORK
1.5p = 1.25p + 8
1.5p
- 1.25p
= 1.25p
- 1/25p
+ 8
0.25p
/0.25
= 8
/0.25
p = 32
300
Solve for b:
-7 = b - 3
b = -4
WORK
-7 = b - 3
-7
+3
= b - 3
+3
-4 = b
300
Solve for x:
2x + 3 = 15
(When you see it written 2x that means the same thing as 2*x)
x = 6
WORK
2x + 3 = 15
2x + 3
- 3
= 15
- 3
2x = 12
(2x)
/2
= 12
/2
x = 6
300
Solve for m:
5 = 5m - 23 + 2m
m =4
WORK
5 = 5m - 23 + 2m
5 = 5m + 2m - 23
5 = 7m - 23
5
+ 23
= 7m - 23
+ 23
28 = 7m
28
/7
= 7m
/7
4 = m
300
Solve for b:
3b - 4 = b + 2
b = 3
WORK
3b - 4 = b + 2
3b - 4
+ 4
= b + 2
+ 4
3b = b + 6
3b
- b
= b
- b
+ 6
2b = 6
2b
/2
= 6
/2
b = 3
500
Solve for x:
x/3 = 2
x = 6
WORK
x/3 = 2
x/3
*3
= 2
*3
x = 6
500
Solve for a:
(1/2)a + 5 = 18
a = 26
WORK
(1/2)a + 5 = 18
(1/2)a + 5
- 5
= 18
- 5
(1/2)a = 13
2*
(1/2)a = 13
*2
a = 26
500
Solve for x:
(x + 4) + 2x = 67
x = 21
WORK
(x + 4) + 2x = 67
x + 2x + 4 = 67 [addition is commutative]
3x + 4 = 67
3x + 4
- 4
= 67
- 4
3x = 63
3x
/3
= 63
/3
x = 21
500
Solve for x:
5x + 2 = 2x + 14
x = 4
WORK
5x + 2 = 2x + 14
5x + 2
- 2
2x + 14
- 2
5x = 2x + 12
5x
- 2x
= 2x
- 2x
+ 12
3x = 12
3x
/3
= 12
/3
x = 4
Continue
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Algebra 1 - Solving Equations
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