5-Minute Check 1

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# 5-Minute Check 1 - PowerPoint PPT Presentation

A B C D. Name the property shown by the statement (4 b ) c = 4( bc ). A. Multiplicative Identity B. Additive Identity C. Associative Property of Addition D. Associative Property of Multiplication. Name the property shown by the statement 4 y + 0 = 4 y .

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A

B

C

D

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

A. Multiplicative Identity

D. Associative Property of Multiplication

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

A. Multiplicative Identity

5-Minute Check 1
• 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
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

What is the coordinate plane?

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

Y-axis

(-,+)

(+,+)

X-axis

(-,-)

(+,-)

Origin (0,0)

I give you the Coordinate Plane (we need graph paper now)
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.

Example 1A
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.

Example 1B
A

B

C

D

A. B.

C.D. none of the above

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

Example 1A
A

B

C

D

A.B.

C.D. none of the above

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

Example 1B
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
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)

B. (3, 5)

C. (2, 3)

D. (3, 2)

Example 2A
A

B

C

D

B. Write the ordered pair that names point B.

A. (6, 6)

B. (0, 6)

C. (0, 0)

D. (6, 0)

Example 2B
• 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.

The domain is {0,1, 2, 3}.

The range is {0, 2, 4}.

Example 3
A

B

C

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}

Example 3
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-coordinaterepresents the amount of money José earns for 1, 2, 3, and 5 hours of work.

Example 4A
Relations as Graphs

EARNINGS José earns \$5 an hour doing yard work.

B. Graph the ordered pairs and describe the graph.

Example 4B
Relations as Graphs

Answer: The points appear to lie on a line.

Example 4B