ch 1.7 (part 1) one step (addition & subtraction) objective: to solve one-step variable...
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Ch 1.7 (part 1)
One Step (Addition & Subtraction)
Objective:
To solve one-step variable equations using the Inverse Property of Addition
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DefinitionsEquationA balanced statement of equality between two expressions.
One Step Only one operation is performed (+, -, , ÷)
4 + 3 = 7
fulcrum
4 + 3 7=
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Goal: Isolate the variable.
1) “Undo” the operation using the Inverse Property of Addition
a + (-a) = 0
Perform the operation to both sides of the equation!
Rules
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=+
4 73+
- 3
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=
47
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=
4
7
4 = 7
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4 + 3 7=- 3 - 3
4 4=
Perform the same operation to both sides to keep the equation balanced.
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x + 6 11=
This property can be used to solve variable equations.
-6 -6
x 5=
x + 6 = 11-6 -6x = 5
Algebraic Approach
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Example 1
m + 2 = 10
x - 4 = 6
m - 4 = 9
11 = x – (-2)
-2 -2m = 8
+4 +4x = 10
+4 +4m = 13
-2 -29 = x
+Example 2
Example 3
Example 4
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Classwork
1) x + 7 = 3
2) 8 + y = -6
3) -4 + x = 15
4) 7 = x + 13
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Classwork
5) -10 = 6 + x
6) - 4 = m + 9
7) 9 + 7 = x
8) y = 8 - 13