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7.4 Solving Multiplication and Division Equations
T/B pp
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Activate! Brainstorm What were the steps to solving addition and subtraction equations? How do you think those steps will apply to today’s lesson?
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Essential Question How can inverse operations help you solve multiplication and division equations?
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Think of other ways you might use this formula.
Activate! Remember A=lw ?? What if…you have a rectangle that has an area of 24 ft2 and you know the length is 8 ft. How can you use this formula to find the missing width? Think of other ways you might use this formula.
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Vocabulary To solve a multiplication problem, use the division property of equality: Dividing each side of an equation by the same nonzero number produces an equivalent equation. ax = b ax = b a a
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Solving a Multiplication Equation
7x = 63 Steps to Solve for a Variable: Isolate the variable by using an inverse operation. Divide each side by the same number. (3) Simplify, if needed. (4) Check your work!
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Solving a Multiplication Equation
-11w = -132
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On Your Own 9a = 45 -6b = 36 7 = 2c -64 = -8f
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Vocabulary: N/T Guide p. 151
To solve a division problem, use the multiplication property of equality: Multiplying each side of an equation by the same nonzero number produces an equivalent equation. x = b a * x = b * a a a
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Solving a Division Equation
x/4 = -7 Steps to Solve for a Variable: Isolate the variable by using an inverse operation. (2) Multiply each side by the same number. (3) Simplify, if needed. (4) Check your work!
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Solving a Division Equation
b/-13 = -9
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On Your Own II (e) r/4 = 8 (f) y/3 = -15 (g) 1.5 = t/3
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Solving an Equation Using a Reciprocal
2/7 x = 4 Steps to Solve for a Variable: Isolate the variable by using an inverse operation. (remember rules for dividing w/ fractions) (2) Multiply each side by the same reciprocal. (3) Simplify, if needed. (4) Check your work!
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Solving an Equation Using a Reciprocal
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On Your Own III (h) 5/6 x = 5 (i) 3/4 y = -1 (j) 6 = 3/2 k
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Ones: Tell twos how to solve 5x=15
Pair/Share Ones: Tell twos how to solve 5x=15 Twos: Tell ones how to solve 1/5x=15
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Extended Learning Opportunity Pizzazz pp. 73-74
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