essential skills: solve equations by using addition and subtraction solve equations by using...
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ESSENTIAL SKILLS:SOLVE EQUATIONS BY USING ADDITION AND
SUBTRACTIONSOLVE EQUATIONS BY USING MULTIPLICATION AND
DIVISION
2-2: Solving One-Step Equations
2-2: Solving One-Step Equations
Addition Property of Equality If an equation is true and the same number is added
to each side of the equation, the resulting equivalent equation is also true.
Examples 14 = 14 -3 = -3 14 + 3 = 14 + 3 +9 +9 17 = 17 6 = 6
2-2: Solving One-Step Equations
Example 1 Solve h – 12 = -27. Then check your solution.
h – 12 = -27 Original Equation h – 12 + 12 = -27 + 12 Add 12 to each side h = -15 Simplify
To check, substitute -15 back in the original equation (-15) – 12 = -27 -27 = -27
1) Solve a – 24 = 16
1 2 3 4
86%
7%0%
7%
1. 402. -83. 84. -40
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2-2: Solving One-Step Equations
Subtraction Property of Equality If an equation is true and the same number is
subtracted from each side of the equation, the resulting equivalent equation is also true.
Examples 87 = 87 13 = 13 87 – 17 = 87 – 17 -28 -28 70 = 70 -15 = -15
2-2: Solving One-Step Equations
Example 2 Solve c + 102 = 36. Then check your solution.
c + 102 = 36 Original Equation c + 102 – 102 = 36 – 102 Add 12 to each side c = -66 Simplify
To check, substitute -66 back in the original equation (-66) + 102 = 36 36 = 36
2) Solve 129 + x = -42
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7% 7%14%
71%1. 872. -1713. 1714. -87
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2-2: Solving One-Step Equations
Multiplication Property of Equality If an equation is true and each side is multiplied by
the same nonzero number, the resulting equivalent equation is also true.
Example If x = 5, then 3x = 15
Division Property of Equality If an equation is true and each side is divided by the
same nonzero number, the resulting equivalent equation is also true.
Example If x = -20, then x/5 = -20/5 = -4
2-2: Solving One-Step Equations
Example 3A Solve (-1 3/8)k = 2/3
(-1 3/8)k = 2/3 Original Equation
(-11/8)k = 2/3 Convert to an improper fraction
(-8/11)(-11/8)k = (-8/11)2/3 Multiply each side by -8/11, the reciprocal
k = -16/33 of -11/8
Example 3B Solve -75 = -15b
-75 = -15b Original Equation -15 -15 Divide each side by -15 5 = b Simplify
3) Solve (4 1/3)m = 5 3/7
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46%
7%
29%
18%
1. 114/91
2. 44/7
3. 23/21
4. 5
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4) Solve 32 = -14c
1 2 3 4
7%
71%
4%
18%
1. -32. 463. 184. -16/7
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2-2: Solving One-Step Equations
Assignment Page 86 1 – 61, odds
Skip #17 & #43 Must show work for credit