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Lesson Menu Five-Minute Check (over Lesson 1–6) Main Idea and Vocabulary Example 1:Solve an Equation Mentally Example 2:Test Example Example 3:Real-World Example
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Main Idea/Vocabulary equation solution solving an equation defining the variable Write and solve equations using mental math.
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Example 1 Solve an Equation Mentally Answer: So, p = 19. The solution is 19. p – 14=5Write the equation. 19 – 14 =5You know that 19 – 14 is 5. 5=5Simplify. Solve p – 14 = 5 mentally.
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1.A 2.B 3.C 4.D Example 1 A.5 B.17 C.23 D.66 Solve p – 6 = 11 mentally.
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Example 2 A store sells pumpkins for $2 per pound. Paul has $18. Use the equation 2x = 18 to find how large a pumpkin Paul can buy with $18. A 6 lb B 7 lb C 8 lb D 9 lb Read the Item Solve 2x = 18 to find how many pounds the pumpkin can weigh.
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Example 2 Solve the Item 2x= 18Write the equation. 2 ● 9= 18You know that 2 ● 9 is 18. Answer: Paul can buy a pumpkin as large as 9 pounds. The answer is D.
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1.A 2.B 3.C 4.D Example 2 A.4 notebooks B.5 notebooks C.6 notebooks D.7 notebooks A store sells notebooks for $3 each. Stephanie has $15. Use the equation 3x = 15 to find how many notebooks Stephanie can buy with $15.
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Example 3 ENTERTAINMENT An adult paid $18.50 for herself and two students to see a movie. If the two student tickets cost $11 together, what is the cost of an adult ticket? WordsThe cost of one adult ticket and two student tickets is $18.50. VariableLet a represent the cost of an adult movie ticket. Equationa + 11 = 18.50
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Example 3 a + 11= 18.50Write the equation. 7.50 + 11 = 18.50Replace a with 7.50 to make the equation true. 18.50= 18.50Simplify. Answer: The number 7.50 is the solution of the equation. So, the cost of an adult movie ticket is $7.50.
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1.A 2.B 3.C 4.D Example 3 A.$2.10 B.$2.80 C.$3.20 D.$15.80 ICE CREAM Julie spends $9.50 at the ice cream parlor. She buys a hot fudge sundae for herself and ice cream cones for each of the three friends who are with her. Find the cost of Julie’s sundae if the three ice cream cones together cost $6.30.
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End of the Lesson
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Resources Five-Minute Check (over Lesson 1–6) Image Bank Math Tools Arithmetic Sequences Modeling Algebraic Expressions Function Machines
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1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 1-6) A.1 B.2 C.4 D.8
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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 1-6) A.12 B.22 C.32 D.42 Evaluate 7r – 3p for r = 7 and p = 9.
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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 1-6) A.96 B.58 C.47 D.33 Evaluate (p – m) + 5(2n) for m = 2, n = 4, and p = 9.
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1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 1-6) A.3 B.1 C.0.50 D.0.25
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1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 1-6) A.0.08 B.1.33 C.2.25 D.6.75
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1.A 2.B 3.C 4.D Five Minute Check 6 (over Lesson 1-6) A.145e + 59p B.145p + 59e C.(145 + 59) + pe D.p(145 – 59) + e Kerrie works at an art supply store. Which expression could Kerrie use to find the cost of buying p cases of paintbrushes at $145 each and e easels at $59 each?
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