5.3: solving addition equations goal #1: solving addition problems goal #2: writing addition...
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5.3: Solving Addition Equations
Goal #1: Solving Addition Problems
Goal #2: Writing Addition Equations
Goal #1: Solving Addition Problems
Subtraction Property of Equality
In words: Subtracting the same number from both sides of the equal sign, gives us a new equation having the same solution
as the original problem.
In Algebra: x + a = b
- a -a
x = b-a
Steps to Follow
1. Write the original problem.
2. Box the variable.
3. Inverse operation to isolate the variable.
4. Simplify, variable should be alone.
5. Check your answer through substitution.
Examples n + 8 = -2
- 8 - 8
n = -10
-10 + 8 = -2
-2 = -2
1. Write the original problem.
2. Box the variable.3. Inverse operation to
isolate the variable.4. Simplify, variable
should be alone.5. Check your answer
through substitution.
Examples 4 = x + 9
- 9 - 9
- 5= x
4 = -5 + 9
4 = 4
1. Write the original problem.
2. Box the variable.3. Inverse operation to
isolate the variable.4. Simplify, variable
should be alone.5. Check your answer
through substitution.
Whiteboard Examples x + 8 = 3
- 8 -8
X = -5
-5 + 8 = 3
3 = 3
1. Write the original problem.
2. Box the variable.3. Inverse operation to
isolate the variable.4. Simplify, variable
should be alone.5. Check your answer
through substitution.
Whiteboard Examples n + 7 = -7
-7 -7
n = -14
-14 + 7 = -7
-7 = -7
1. Write the original problem.
2. Box the variable.3. Inverse operation to
isolate the variable.4. Simplify, variable
should be alone.5. Check your answer
through substitution.
Whiteboard Examples 3.4 + t = 10.5
-3.4 -3.4
t = 7.1
3.4 + 7.1 = 10.5
10.5 = 10.5
1. Write the original problem.
2. Box the variable.3. Inverse operation to
isolate the variable.4. Simplify, variable
should be alone.5. Check your answer
through substitution.
Whiteboard Examples 37 + k = 28
-37 -37
k = -9
37 + (-9) = 28
28 = 28
1. Write the original problem.
2. Box the variable.3. Inverse operation to
isolate the variable.4. Simplify, variable
should be alone.5. Check your answer
through substitution.
Homework Time!!!!
Math book p. 230 - 232
# 26 - 31; 34 - 36; 45 - 46; 48; 50; 56-58; 55