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Five-Minute Check (over Lesson 3–6) Main Idea and Vocabulary
Example 1: Real-World Example Example 2: Graph Solutions of Linear Equations Example 3: Real-World Example Concept Summary: Representing Functions Lesson Menu
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Graph data to demonstrate relationships.
linear equation Main Idea/Vocabulary
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WORK The table shows the number of hours Abby worked and her corresponding earnings. Make a graph of the data to show the relationship between the number of hours Abby worked and her earnings. Example 1
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Answer: The ordered pairs (1, 6), (2, 12), (3, 18), and (4, 24) represent this function. Graph the ordered pairs. Example 1
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VIDEOS Make a graph of the data in the table that shows the relationship between the amount David would pay and the number of movies he rents. A. B. C. D. A B C D Example 1
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Graph Solutions of Linear Equations
Graph y = x + 3. Select any four values for the input x. We chose 2, 1, 0, and –1. Substitute these values for x to find the output y. Answer: Four solutions are (2, 5), (1, 4), (0, 3), and (–1, 2). Example 2
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Graph y = 3x – 2. A. B. C. D. A B C D Example 2
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ANIMALS Blue whales can reach a top speed of 30 miles per hour
ANIMALS Blue whales can reach a top speed of 30 miles per hour. The equation d = 30t describes the distance d that a whale swimming at that speed can travel in time t. Assuming that a whale can maintain the speed, represent the function with a graph. Step 1 Select any four values for t. Select only positive numbers because t represents time. Make a function table. Example 3
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Step 2 Graph the ordered pairs and draw a line through the points.
Answer: Example 3
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TRAVEL Susie takes a car trip traveling at an average speed of 55 miles per hour. The equation d = 55t describes the distance d that Susie travels in time t. Represent this function with a graph. A. B. C. D. A B C D Example 3
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KC 1
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End of the Lesson End of the Lesson
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Five-Minute Check (over Lesson 3–6) Image Bank Math Tools
Solving Equations Using Models Perimeter Solving Equations Two-Step Equations Resources
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Find the perimeter of the rectangle.
(over Lesson 3-6) Find the perimeter of the rectangle. A cm B cm C cm D. 98 cm A B C D Five Minute Check 1
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Find the perimeter of the square.
(over Lesson 3-6) Find the perimeter of the square. A. 252 mm B. 3,969 mm C. 189 mm D. 242 mm A B C D Five Minute Check 2
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Find the area of the rectangle.
(over Lesson 3-6) Find the area of the rectangle. A cm2 B. 558 cm2 C cm2 D cm2 A B C D Five Minute Check 3
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Find the area of the square.
(over Lesson 3-6) Find the area of the square. A. 3,969 mm2 B. 252 mm2 C. 819 mm2 D. 1,984.5 mm2 A B C D Five Minute Check 4
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(over Lesson 3-6) The rectangle has width 3.6 feet and area A feet. Which of the following could be used to find the length of the rectangle? A. B. C. D. A B C D Five Minute Check 5
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