3-1/3-2 Solving 1 Step Equations (Add/Sub/Mul/Div)
3-1 Solving One-Step Equations
Solving equations means to get the variable by itself (isolate).
( Note: The answer should look like (variable) = (some number), where the variable is never negative
Solve using addition and subtraction.
1. [pic]
Note: What ever you do to one side, you MUST do to the other side (keep it balanced).
2. [pic] 3. [pic]
When solving equations, eliminate double signs.
(As a general rule, replace “+ (- )” with “–” and “– (- )” with “+”.
4. [pic]
[pic]
5. [pic]
6. [pic]
[pic]
Solve using multiplication and division.
7. [pic]
Remember: What ever you do to one side, you MUST do to the other side (keep it balanced).
8. [pic] 9. [pic]
10. [pic] [pic]
11. [pic]
[pic]
Try these on your own.
1. p – (-27) = 13 2. -7 = -16 – k 3. [pic]
Algebra 1 Homework: 3.1 Solving One-Step Equations
Solve the Equation. (Write the Steps!)
1. x + 2 = 10 2. 3x = -15
3. -4 + x = 12 4. [pic] = -6
5. 15 = t – 2 6. [pic]x = 3
7. x – (-4) = 3 8. 3 = -x
9. w + 14 = -8 10. y + (-10) = 6
11. -11 = a + 8 12. 5h = 35
13. -2.3 = x + (-1.1) 14. -7 = -16 - k
15. -13m = 39 16. z + (-13) = -27
17. p - (-27) = 13 18. 41 = 32 - r
19. [pic] 20. [pic]
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Subtraction Property of Equality Subtracting the same value from both sides of the equation.
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Addition Property of Equality Adding the same value from both sides of the equation.
Division Property
of Equality
Dividing the same value from both sides of the equation.
Multiplication Property of Equality Multiplying the same value from both sides of the equation.
Inverse Operations
__________________ __________________
__________________ __________________
Inverse Operations “UNDO” Each Other!
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