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WARM-UP PROBLEMS
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1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 3-1) Write the phrase as an algebraic expression. the product of y and 9 A.9y B.y 9 C.y + 9 D.
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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 3-1) Write the phrase as an algebraic expression. six dollars more than d A.6d B. C.d6 D.d + 6
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 3-1) A.x = 28 – 7 B.x – 7 = 28 C.7 – x = 28 D.x + 28= –7 Write the sentence as an algebraic equation. Seven less than a number is 28.
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Lesson Menu Main Idea Key Concept: Subtraction Property of Equality Example 1:Solve Addition Equations Example 2:Solve Addition Equations Example 3:Real-World Example
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Main Idea/Vocabulary Solve addition and subtraction equations (2.8.8E) (M7.D.2.1). DO THE FOLLOWING MENTAL MATH: 1.Choose a number. 2.Add 4 to the number. 3.Subtract 4 from the answer. What was your final answer? Will the same thing happen if you start with a different number? Explain.
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KC 1
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Example 1 Solve Addition Equations Solve 14 + y = 20. Check your solution. 14 + y = 20Write the equation. Answer: The solution is 6. –14= –14Subtract 14 from each side. y = 6Simplify. Check14 + y = 20Write the original equation. ? 14 + 6= 20Replace y with 6. 20= 20 The sentence is true.
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1.A 2.B 3.C 4.D Example 1 A.–10 B.10 C.2 D.–2 Solve –6 = x + 4.
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Example 2 Solve Addition Equations Solve a + 7 = 6. Check your solution. Answer: The solution is –1. a + 7 = 6Write the equation. –7=–7Subtract 7 from each side. a = –1Simplify. Checka + 7 = 6Write the original equation. ? –1 + 7= 6Replace a with –1. 6= 6 The sentence is true.
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1.A 2.B 3.C 4.D Example 2 A.11 B.13 C.14 D.9 Solve m + 9 = 22.
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Example 3 FRUIT A grapefruit weighs 11 ounces, which is 6 ounces more than an apple. How much does the apple weigh? WordsA grapefruit is 6 ounces more than an apple. VariableLet x = the weight of an apple. Equation11 = 6 + x
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Example 3 Answer: An apple weighs 5 ounces. 11 = 6 + x Write the equation. –6 =–6Subtract 6 from each side. 5 = xSimplify.
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1.A 2.B 3.C 4.D 5.D Example 3 A.6 miles B.7 miles C.8 miles D.26 miles EXERCISE Cedric ran 17 miles this week, which is 9 more miles than he ran last week. How many miles did he run last week?
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REVIEW Solve each equation. 1.n + 6 = 8 2.7 = y + 2 3.m + 5 = 3 4.-2 = a + 6 2 5 -2 -8
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End of the Lesson
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Resources Five-Minute Check (over Lesson 3–1) Image Bank Math Tools Solving Equations Using Models Perimeter Solving EquationsTwo-Step Equations
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