Over Lesson 1–3

A. A

B. B

C. C

D. D

A. Multiplicative IdentityB. Additive IdentityC. Associative Property of AdditionD. Associative Property of Multiplication

Name the property shown by the statement (4b)c = 4(bc).

Name the property shown by the statement 4y + 0 = 4y.

A. Multiplicative IdentityB. Additive IdentityC. Commutative Property of AdditionD. Associative Property of Addition

You have already graphed numbers on number lines. (Previous Course)

• Use ordered pairs to locate points.

• Use graphs to represent relations.

• coordinate system

• coordinate plane

• y-axis

• origin

• x-axis

• ordered pair

• x-coordinate

• y-coordinate

• graph

• relation

• domain

• range

What is the coordinate plane?

• It is two intersecting lines drawn to find locations• These intersecting lines are the x-axis

(horizontal axis) and the y-axis (vertical axis)• These locations are called ordered pairs. An

ordered pair is written as its x-value and its y-value or (x,y)

• Example: (3,4) means go 3 right and 4 up. • The point (0,0) is referred to as the origin

Quadrants

• The intersecting lines break the coordinate plane into four Quadrants.

• These regions allow us to locate on a coordinate plane where certain points are located

Y-axis

X-axis

Quadrant 1 (+,+)

Quadrant 2(-,+)

Quadrant 3(-,-)

Quadrant 4(+,-) Origin (0,0)

Graph Ordered Pairs

A. Graph the ordered pair (3, 4) on a coordinate plane.

Step 1 Start at the origin.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.

Answer:

Graph Ordered Pairs

B. Graph the ordered pair (0, 2) on a coordinate plane.

Step 1 Start at the origin.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.

Answer:

A. A

B. B

C. C

D. D

A. Graph the ordered pair (2, 5) on a coordinate plane.

A. B.

C. D. none of the above

A. A

B. B

C. C

D. D

B. Graph the ordered pair (4, 0) on a coordinate plane.

A. B.

C. D. none of the above

Identify Ordered Pairs

Step 1 Start at the origin.

A. Write the ordered pair that names point G.

Answer: The ordered pair for G is (1, 1).

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.

Identify Ordered Pairs

B. Write the ordered pair that names point H.

Step 1 Start at the origin.

Answer: The ordered pair for H is (4, 0).

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.

A. A

B. B

C. C

D. D

A. (2, 5)

B. (3, 5)

C. (2, 3)

D. (3, 2)

A. Write the ordered pair that names point A.

A. A

B. B

C. C

D. D

A. (6, 6)

B. (0, 6)

C. (0, 0)

D. (6, 0)

B. Write the ordered pair that names point B.

• Domain is the collection of all the x-values in a relation or a graph

• Range is the collection of all the y-values in a relation or a graph

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}.

A. A

B. B

C. C

D. D

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}

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:

Relations as Graphs

EARNINGS José earns $5 an hour doing yard work.

B. Graph the ordered pairs and describe the graph.

Relations as Graphs

Answer: The points appear to lie on a line.