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1-100
Operations that “undo” one
another are called this.
1 - 100
1-100A
Inverse Operations
1-200
These statements say that we must
do the same operation on both
sides if the equal sign.
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1-200A
Properties of Equality
1-300
Another way of saying “get the
variable all by itself.”
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1-300A
Isolate the Variable
1-400
A value of a variable that makes
an equation true.
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1-400A
Solution
1-500
The process of finding a value or
values of a variable that make an
equation true.
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1-500A
Solving an Equation
1 - 100
2-100
You need to complete this step to
solve the equation -3x = 18.
1 - 100
2-100A
Divide by -3.
2-200
Solve the equation x - (-9) = 26
1 - 100
2-200A
x = 17
2-300
Solve the equation
2
11
x
3
6
1 - 100
2-300A
33
x
12
2-400
Solve the equation
2
11
 x
3
6
1 - 100
2-400A
15 5
x

6 2
2-500
Solve the equation
3(2x - 4) + 12 = 24
1 - 100
2-500A
x=4
1 - 100
3-100
Solve the equation
-3x + 9 = 14
1 - 100
3-100A
x= -5/3
3-200
Solve the equation
2(4x - 3) = -18
1 - 100
3-200A
Solve the equation
x = -12/8 = -3/2
3-300
Solve the equation
3(4 - 3x) + 9x = 10
1 - 100
3-300A
No Solution
3-400
Solve the equation
7(3x - 4) + 13 = -35
1 - 100
3-400A
Solve the equation
x = -20/21
3-500
Solve the equation
3(4x - 1) + 2(5 - 4x) = 11
1 - 100
3-500A
x=1
1 - 100
4-100
Solve the equation
7x – 4 = 5x + 16
1 - 100
4-100A
x=2
4-200
Solve the equation
2(4x – 3) = -7x - 13
1 - 100
4-200A
x = -7/15
4-300
Solve the equation
-3(4x – 7) – 6x = 8x – 2x - 27
1 - 100
4-300A
x=2
4-400
Solve the equation
5(4x – 1) + 3 = 4(5x – 2) + 6
1 - 100
4-400A
All numbers are solutions
4-500
Solve the equation
3(2x – 1) – (3x – 4) = 5 – 2(3x + 4)
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4-500A
x = -4/9
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5-100
Solve for y:
3x – 2y = 4
1 - 100
5-100A
4 – 3x
y=
-2
5-200
Solve for y:
3(2x – 4y) + 7 = 4x + 3
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5-200A
-2x - 4
y=
-12
Solve for y:
5-300
5x – 3y + 9 = -7x + 3y - 18
5-300A
-12x - 27
y=
-6
1 - 100
5-400
Solve for A:
2A – T = 3B
1 - 100
5-400A
3B+T
A=
2
5-500
Solve for H:
3(KH + C) = 6D
1 - 100
5-500A
6D – 3C
H=
3K
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6-100
Five more than three times a
number is 23. What is the
number?
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6-100A
Number = 6
Define a variable and write an
equation to represent the following
situation:
6-200
To bowl at Pat’s Lanes, it costs $2.50
for shoe rental and an additional
$3.25 per game. How many games
can Shari bowl for $15.50?
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6-200A
x = # games
3.25x + 2.5 = 15.50
6-300
Make up an equation for which all
numbers are solutions.
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6-300A
6-400
Define a variable and write an equation
for the following situation:
Barry owes his parents $1,750. If he
pays them $50 each month, after how
many months will Barry’s debt be
down to $500?
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6-400A
x = # of months
1750 – 50x = 500
In the following solution, what
are the equations 2x – 7 = 5 and
2x = 12 called?
6-500
2x – 7 = 5
+7 +7
2x = 12
2 2
x =6
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6-500A
Equivalent Equations
Solve the equation
21
5
9
7
 x  x
36
8
4
3
Write your answer in fraction
form.
X = -69/85