1. Splash Screen

2. 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

3. 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

4. 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

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

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

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

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

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

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

11. 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

12. 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

13. 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

14. 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

15. 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

16. 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

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

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

19. 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

20. 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

21. 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

22. 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

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

24. 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

25. 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

26. End of the Lesson

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