Lesson 3-2B PowerPoint

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Transcript Lesson 3-2B PowerPoint

WARM-UP PROBLEMS
(over Lesson 3-1)
Write the sentence as an algebraic equation.
Four more than three times a number is 16.
A. 7b = 16
B. 3b = 16 + 4
C. 4 + 3b = 16
D. 4b + 3 = 16
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(over Lesson 3-1)
Kamaya’s biology class requires 580 pages of
reading over the course of the school year. Her
history class requires 130 more pages than her
biology class. Write an equation that models this
situation.
A. 580 – h = 130
B. h + 580 = 130
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D. h – 130 = 580
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C. h + 130 = 580
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(over Lesson 3-1)
A diner charges $1.35 for a cup of coffee and $0.59
for refills. Which equation could be used to find the
cost c of a cup of coffee with r refills?
A. c = 1.35 + 0.59r
B. 1.35c + 0.59 = r
D. c = 1.35 – 0.59r
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C. 0.59r – 1.35 = c
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Five-Minute Check (over Lesson 3–1)
Main Idea
Key Concept: Subtraction Property of Equality
Example 1: Solve Addition Equations
Example 2: Solve Addition Equations
Example 3: Real-World Example
Key Concept: Addition Property of Equality
Example 4: Solve a Subtraction Equation
Example 5: Real-World Example
1.
• Solve addition and subtraction equations (2.8.8E)
(M7.D.2.1).
D
Solve a Subtraction Equation
Solve 12 = z – 8. Check your solution.
12 = z – 8
Write the equation.
+8 =
Add 8 to each side.
+8
20 = z
Simplify.
Answer: 20
Check
Since 12 = 20 – 8, the solution is correct.
Solve w – 5 = 27.
A. 22
B. 32
C. 30
D. 24
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MUSIC Vivian practiced the piano for 32 minutes.
She practiced 11 minutes less than her brother.
How long did her brother practice the piano?
Words
Vivian’s practice time is 11 minutes less than
her brother’s practice time.
Variable
Let x = her brother’s practice time.
Equation 32 = x – 11
32 = x – 11 Write the equation.
+11 =
43 = x
+11 Add 11 to each side.
Simplify.
Answer: Vivian’s brother practiced for 43 minutes.
WEATHER The high temperature today is 51°F. This
is 13° less than the high temperature yesterday. Find
the high temperature yesterday.
A. 38°F
B. 45°F
C. 51°F
D. 64°F
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REVIEW
Solve each equation.
1. x – 5 = 6
11
5
2. -1 = c – 6
3. John F. Kennedy was the youngest
president to be inaugurated. He was 43
years old. This was 26 years younger than
the oldest president to be inaugurated—
Ronald Reagan. Write an equation to find
how old Reagan was when he was
inaugurated.
43 = r – 26; 60 years old
End of the Lesson
Five-Minute Check (over Lesson 3–1)
Image Bank
Math Tools
Solving Equations Using Models
Perimeter
Solving Equations
Two-Step Equations