Solving Equations
By: Abbie Adirzone
• GOAL: Try and get the variable by itself
• How To Solve An Addition Equation
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• Free Kick: remember to do the same to BOTH sides!
First Pass: Get the number that the variable is being added too, and
subtract that number from itself which it cancels it out then subtract the
same number to the other side.
Second Pass: You must check your solution or a serious penalty could
happen!
Here Is A Practice Shot
x + 5 = -4
-5 -5
-4 – 5
_____ ____
-4 + -5
x = -9
-9
• How To Solve A Subtraction Equation
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• Free Kick: Remember to do the same to both sides!
First Pass: Get the number that is being subtracted from the variable and subtract it
from itself and the other side.
Second Pass: Check the answer, and if it is correct than you scored a goal!
For these problems you must add a line change the sign which means that when you
are trying to subtract you have to add a line which means to take the operation sign
and either make it an addition sign and then make the number after the operation
sign the opposite value (if it is a negative then make it a positive and if it is a positive
than make it a negative).
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x - -8 = 32
+ -8 + -8
____ ____
X = 24
Here Is A Practice Shot
32 + -8
2
32
- 8
_______
24
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3. a – 16 = -3
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5. w + -2 = 8
x + 6 = -11
2. x - -8 = 32
4. p + 7 = 15
Write An Equation And Solve.
• Megan has 12 pairs of old cleats in her closet.
Rachel has 5 more pairs than Megan. How
many cleats does Rachel have?
• Tim has a collection of soccer trophies. He has a
total of 35. That is 4 trophies less than Joe has.
How many trophies does Joe have?
• Olivia has 8 pairs of shin-pads. That is 3 more
than Lauren has. How many shin-pads does
Lauren have?
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How To Solve A Multiplication And Division Equation
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Here are some assists to help you!
First Pass: You must divide your problem in half by the equals sign so than your problem is
organized.
Second Pass: Spot the variable and circle it
Third Pass: Locate the number next to the operation sign. Then get rid of it by using the opposite
operation.
Fourth Pass: Divide or Multiply (which ever is needed)
Also, for multiplication and division you have to see if the number you are multiplying or dividing is
negative or positive. Only because if the numbers are both positive than the outcome will be
positive. Then if the numbers are positive and negative then the outcome is negative. If the
numbers are negative and negative the outcome will be positive.
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Here Is A Practice Shot
2x + 7 = -15
-7 - 7
-15 – 7
11____
_____ ______
-15 + -7
2 | 22
2x = -22
15
-2
_____ ____
+7
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2
2
_______
02
-22
-2
x = -11
_____
Solve.
• x
• 6 -8 = 10
• -3 = -3 + x
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x
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8
2m – 4 = 2
6m – 14 = 16
- 10 = -2
Write An Equation And Solve.
• You buy 2 new TV’s to watch the World Cup. Yet you
also buy a new sofa. The insurance for the sofa is $235
and the total is $265. How much were the TV’s.
• The referee got $30 for coming to the game. He gets
paid $5 an hour. He gets a total of $50. How many hours
long did he referee the soccer games?
• Coach gave Amy $5. For every pass she gets, Coach
gives her $5. The total amount Amy received was $95.
How many passes did Amy get?
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1. x = -17
1. x = 108
2. x = 24
2. m = 3
3. a = -19
3. 0 = x
4. p = 8
4. m = 5
5. w = 6
5. x = 64
1. c = 17
1. p = $15
2. p = 39
2. p = 4
3. p = 5
3. p = 18
One – Step
Two - Step
First five are practice
and last
three are word problems.