To review these concepts, go to Solving Simple Algebraic Equations Study Guide.
Solving Simple Algebraic Equations Practice Questions
Problems
Practice 1
Find the value of the variable in each equation.
 u + 9 = 17
 –7s = 49
 y –13 = 27
 = 35
 54 = 9c
 h –1 = –1
 = 6
 12 = e + 19
 –2p = –48
 = 33
 12 + a = 2a
 9 – v = 0
Practice 2
Solve for x in terms of y.
 x + 4 = y – 6
 2x = 8y
 x – 7 = 3y
 = y + 1
 3x = –12y + 15
Solutions
Practice 1

In the equation u + 9 = 17, 9 is added to u.
Use the opposite operation, subtraction, to solve the equation. Subtract 9 from both sides of the equation:
u + 9 – 9 = 17 – 9
u = 8

In the equation –7s = 49, s is multiplied by –7. Use the opposite operation, division, to solve the equation. Divide both sides of the equation by –7:
s = –7

In the equation y – 13 = 27, 13 is subtracted from y. Use the opposite operation, addition, to solve the equation. Add 13 to both sides of the equation:
y – 13 + 13 = 27 + 13
y = 40

In the equation = 35, f is divided by 5. Use the opposite operation, multiplication, to solve the equation. Multiply both sides of the equation by 5:
5 = 5(35)
f = 175

In the equation 54 = 9c, c is multiplied by 9. Use the opposite operation, division, to solve the equation. Divide both sides of the equation by 9:
c = 6

In the equation h – 1 = –1, 1 is subtracted from h. Use the opposite operation, addition, to solve the equation. Add 1 to both sides of the equation:
h – 1 + 1 = –1 + 1
h = 0

In the equation = 6, w is divided by 8. Use the opposite operation, multiplication, to solve the equation. Multiply both sides of the equation by 8:
8 = 8(6)
w = 48

In the equation 12 = e + 19, 19 is added to e. Use the opposite operation, subtraction, to solve the equation. Subtract 19 from both sides of the equation:
12 – 19 = e + 19 – 19
e = –7

In the equation –2p = –48, p is multiplied by –2. Use the opposite operation, division, to solve the equation. Divide both sides of the equation by –2:
p = 24

In the equation k = 33, k is multiplied by . Use the opposite operation, division, to solve the equation. Divide both sides of the equation by (which is the same as multiplying by the reciprocal ):
k = 44

In the equation 12 + a = 2a, a is on both sides of the equal sign. Dividing both sides by 2 will not get a alone on one side of the equation. Subtracting 12 from both sides will not get a alone, either. Instead, subtract a from both sides of the equation:
12 + a – a = 2a – a
a = 12

In the equation 9 – v = 0, if we subtract 9 from both sides, we will have –v = –9. We are looking to get v, not –v, alone on one side of the equation. Instead, add v to both sides of the equation:
9 – v + v = 0 + v
v = 9

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