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Name:_____________________________
Period:________________
Solving Simple Equations
Draw a circle around the multiplicative inverse of and put a box around the additive inverse of .
1)
and put a box around the additive inverse of – .
Draw a circle around the multiplicative inverse of
2)
Circle the equations that show the variable isolated.
3)
Complete the table below.
4)
Algebra
Let a, b, and c be real numbers
Property
Addition Property of Equality
, then
Subtraction Property of Equality
, then
Example
Solve each equation and then graph your result on the number line. Justify each step in the table.
5)
6)
7)
Equation
Property
Equation
Property
Equation
Property
Given
Given
0
0
Check the solution:
Given
0
Check the solution:
Check the solution:
Complete the table below.
8)
Algebra
Let a, b, and c be real numbers
Property
Multiplication Property of
Equality
Division Property of Equality
Example
, then
, then
Solve each equation and then graph your result on the number line. Justify each step in the table.
9)
10)
11)
Equation
Property
Equation
Property
Equation
Property
Given
0
Check the solution:
Given
0
Check the solution:
Given
0
Check the solution:
Name:_____________________________
Period:________________
Solving Simple Equations
Draw a line from each equation in column A to its solution in column B.
12)
Column A
Column B
In the following two step equations, circle the first operation you would undo in solving. Then write the
inverse operation you would use to undo the circled operation.
13)
14)
15)
In the following two step equations, list the steps in the right side of the table the operations needed to solve.
Graph your solution as a point on the number line. Show the steps in the table. (the first table is started)
16)
17)
18)
Step
Step
Step
Equation
Property
Equation
Property
Equation
Property
0
Given
0
1
Add Prop.
1
1
2
Mult. Prop.
2
2
3
Simplify
3
3
0
0
Check the solution:
19)
Check the solution:
20)
Equation
0
Property
Step
Given
0
21)
Equation
Property
Step
Given
0
1
1
1
2
2
2
3
3
3
0
Check the solution:
Given
0
0
Check the solution:
Step
Given
0
Check the solution:
Equation
Property
Given
0
Check the solution:
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