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Five-Minute Check (over Lesson 1–3) Then/Now New Vocabulary Example 1: Graph Ordered Pairs Example 2: Identify Ordered Pairs Example 3: Relations as Tables Example 4: Real-World Example: Relations as Graphs Lesson Menu

A B C D Name the property shown by the statement (4b)c = 4(bc). A. Multiplicative Identity B. Additive Identity C. Associative Property of Addition D. Associative Property of Multiplication A B C D 5-Minute Check 1

A B C D Name the property shown by the statement 4y + 0 = 4y. A. Multiplicative Identity B. Additive Identity C. Commutative Property of Addition D. Associative Property of Addition A B C D 5-Minute Check 2

A B C D Simplify the expression 4 ● (9 + x). A. 36 + 4x B. 36 + x C. 9 + 4x D. 13 + x A B C D 5-Minute Check 3

A B C D Simplify the expression (7 ● y) ● 3. A. 10y B. 21 + 3y C. 21y D. 21 + 3y A B C D 5-Minute Check 4

A B C D Simplify the expression (33 + t) + 17. A. 16 – 17t B. 33 + 17t C. 50 + t D. 561 + 17t A B C D 5-Minute Check 5

Rewrite 18 + (2 + 45) using the Associative Property of Addition. B. 18 – 2 + 45 C. 2(18 + 45) D. A B C D 5-Minute Check 6

You have already graphed numbers on number lines. (Previous Course) Use ordered pairs to locate points. Use graphs to represent relations. Then/Now

coordinate system x-coordinate coordinate plane y-axis origin x-axis ordered pair y-coordinate graph relation domain range Vocabulary

A. Graph the ordered pair (3, 4) on a coordinate plane. Graph Ordered Pairs A. Graph the ordered pair (3, 4) on a coordinate plane. Step 1 Start at the origin. Answer: Step 2 Since the x-coordinate is 3, move 3 units to the right. Step 3 Since the y-coordinate is 4, move 4 units up. Draw a dot. Example 1A

B. Graph the ordered pair (0, 2) on a coordinate plane. Graph Ordered Pairs B. Graph the ordered pair (0, 2) on a coordinate plane. Step 1 Start at the origin. Answer: Step 2 Since the x-coordinate is 0, you will not need to move to the right. Step 3 Since the y-coordinate is 2, move 2 units up. Draw a dot. Example 1B

A B C D A. Graph the ordered pair (2, 5) on a coordinate plane. A. B. C. D. none of the above A B C D Example 1A

A B C D B. Graph the ordered pair (4, 0) on a coordinate plane. A. B. C. D. none of the above A B C D Example 1B

A. Write the ordered pair that names point G. Identify Ordered Pairs A. Write the ordered pair that names point G. Step 1 Start at the origin. Step 2 Move right on the x-axis to find the x-coordinate of point G, which is 1. Step 3 Move up the y-axis to find the y-coordinate, which is 1. Answer: The ordered pair for G is (1, 1). Example 2A

B. Write the ordered pair that names point H. Identify Ordered Pairs B. Write the ordered pair that names point H. Step 1 Start at the origin. Step 2 Move right on the x-axis to find the x-coordinate of point H, which is 4. Step 3 Since the y-coordinate is zero, you will not need to move up. Answer: The ordered pair for H is (4, 0). Example 2B

A B C D A. Write the ordered pair that names point A. A. (2, 5) Example 2A

A B C D B. Write the ordered pair that names point B. A. (6, 6) Example 2B

Relations as Tables Express the relation {(1, 4), (2, 2), (3, 0), (0, 2)} as a table. Then determine the domain and range. Answer: The domain is {0,1, 2, 3}. The range is {0, 2, 4}. Example 3

Express the relation {(4, 1), (3, 2), (0, 1), (2, 3)} as a table Express the relation {(4, 1), (3, 2), (0, 1), (2, 3)} as a table. Then determine the domain and range. A. D = {1, 2, 3}, R = {0, 2, 3, 4} B. D = {0, 2, 3, 4}, R = {1, 2, 3} C. D = {2, 3, 4}, R = {1, 2, 3} D. D = {1, 2, 3}, R = {2, 3, 4} A B C D Example 3

EARNINGS José earns $5 an hour doing yard work. Relations as Graphs EARNINGS José earns $5 an hour doing yard work. A. Make a table of ordered pairs in which the x-coordinate represents the hours worked and the y-coordinate represents the amount of money José earns for 1, 2, 3, and 5 hours of work. Answer: Example 4A

EARNINGS José earns $5 an hour doing yard work. Relations as Graphs EARNINGS José earns $5 an hour doing yard work. B. Graph the ordered pairs and describe the graph. Example 4B

Answer: The points appear to lie on a line. Relations as Graphs Answer: The points appear to lie on a line. Example 4B

BAKING Sue is following a recipe for cookies which requires 2 cups of sugar for each batch of cookies made. Suppose x represents the number of batches made. A. Make a table of ordered pairs in which the x-coordinate represents the number of batches made and the y-coordinate represents the number of cups of sugar needed for 1, 2, 3, 4, and 5 batches made. A. B. C. D. A B C D Example 4A

BAKING Sue is following a recipe for cookies which requires 2 cups of sugar for each batch of cookies made. Suppose x represents the number of batches made. B. Graph the ordered pairs. A. B. C. D. A B C D Example 4B

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