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Solve the problem using the work backward strategy. 3.A number is divided by 3. Then 5 is added to the quotient. After subtracting 2, the result is 10. What is the number? 4.Dexter and Roshonda shared a pizza. Dexter ate 3 more than twice as many pieces as Roshonda, who ate 3 pieces. If there are 4 pieces left, how many pieces were there initially?
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 3-4) A.25 B.16 C.18 D.21 Solve the problem using the work backward strategy. A number is divided by 3. Then 5 is added to the quotient. After subtracting 2, the result is 10. What is the number?
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1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 3-4) A.16 B.15 C.12 D.8 Dexter and Roshonda shared a pizza. Dexter ate 3 more than twice as many pieces as Roshonda, who ate 3 pieces. If there are 4 pieces left, how many pieces were there initially?
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Lesson Menu Main Idea and Vocabulary Example 1:Solve a Two-Step Equation Example 2:Solve Two-Step Equations Example 3:Solve Two-Step Equations Example 4:Solve Two-Step Equations Concept Summary: Solving Two-Step Equations Example 5:Real-World Example
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Main Idea/Vocabulary two-step equation – an equations that has 2 operations. Solve two-step equations (2.8.8E) (M7.D.2.1)
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Example 3 Solve Two-Step Equations Solve –3c + 9 = 3. Check your solution. –3c + 9 = 3Write the equation. –3c= –6Simplify. c= 2Simplify. –9 = –9Subtract 9 from each side. Divide each side by –3. Answer: The solution is 2.
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Example 3 Solve Two-Step Equations Check –3c + 9 = 3Write the original equation. ? –3(2) + 9 = 3Replace c with 2. 3 = 3 –6 + 9 = 3Simplify. ?
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1.A 2.B 3.C 4.D Example 3 A.–3 B.–1 C.3 D.7 Solve –8k + 7 = 31. Check your solution.
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KC 1
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Example 5 PARKS There are 76 thousand acres of state parkland in Georgia. This is 4 thousand acres more than three times the number of acres of state parkland in Mississippi. How many acres of state parkland are there in Mississippi? WordsThree times the number of acres of state parkland in Mississippi plus 4,000 equals 76,000. VariableLet m = the acres of state parkland in Mississippi. Equation3m + 4,000 = 76,000
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Example 5 3m + 4,000= 76,000Write the equation. Answer: There are 24,000 acres of state parkland in Mississippi. 3m=72,000Simplify. m= 24,000Simplify. –4,000= –4,000Subtract 4,000 from each side. Divide each side by 3.
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1.A 2.B 3.C 4.D Example 5 A.16 hits B.36 hits C.56 hits D.72 hits BASEBALL Mathew had 64 hits during last year’s baseball season. This was 8 less than twice the number of hits Gregory had. How many hits did Gregory have during last year’s baseball season?
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End of the Lesson
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GUIDED PRACTICE 1. Syreeta wants to buy some CDs, each costing $14, and a DVD that cost $23. She has $65 to spend. Write and solve an equation to find how many CDs she can buy. 14c + 23 = 65 -23 =-23 14c = 42 14 c = 3
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Resources Five-Minute Check (over Lesson 3–4) Image Bank Math Tools Solving Equations Using Models Perimeter Solving EquationsTwo-Step Equations
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