Bell WorkSimplify each expression6x + (5x – 8)– 9 – (12 – 3x)4(6n + 9) – 10n

Solve the 2-step equation8 + 2b = 30-10 – 2r = 8

Answers11x – 8

-21 + 3xor 3x – 21

14n + 36

b = 11

r = -9

The Coordinate Plane

The x-axis and y-axis separate the coordinate plane into four regions,

called quadrants.

II

(-, +)I

(+, +)

IV

(+, -)

III

(-, -)

The Coordinate Plane

-

-

Quadrant IQuadrant II

Quadrant III Quadrant IV

The quadrants are numbered counter- clockwise using roman numerals

Ordered pairs are used to locate points in a coordinate plane.

x-axis (horizontal axis)

origin (0,0)

y-axis (vertical axis)5

5

-5

-5

An Ordered Pair

(5,10)X-

coordinateY-

coordinate

Y-axis

X-axis

Direction of Movement for the X-Coordinate

If the x-coordinate is positive move this way

If the x-coordinate is negative move this way

Y-axis

X-axis

Direction of movement for the Y-coordinate

If the y-coordinate is positive move this way

If the y-coordinate is negative move this way

Y-axis

X-axis

Name the given point.

(1,3)

(-5,-1)

(-2,1)

(4,0)

•Always start at the origin to plot a point.

Y-axis

X-axis

(4,4)

(-3,-1)

First move out on the

X-axis

Next move on the Y-

axis

How To Plot a Point on the Coordinate Plane

In an ordered pair, the first number is the x-coordinate. The second number is the y-coordinate. Graph. (-2, 2)

When you have a negative number, you go left when it’s the x coordinate and down when it’s the y coordinate. When you have a positive number you go right when it’s the x coordinate and up when it’s the y coordinate.

two units to the left and up two units

Name the quadrant in which each point is located(-2, -7)

1. I2. II3. III4. IV5. None – x-axis6. None – y-axis

Name the quadrant in which each point is located(0, 3)

1. I2. II3. III4. IV5. None – x-axis6. None – y-axis

Name the quadrant in which each point is located(-5, 4)

1. I2. II3. III4. IV5. None – x-axis6. None – y-axis

What is the ordered pair for A?

1. (3, 1)2. (1, 3)3. (-3, 1)4. (3, -1)

5

5

-5

-5

• A

What is the ordered pair for B?

1. (3, 2)2. (-2, 3)3. (-3, -2)4. (3, -2)

5

5

-5

-5

• B

What is the ordered pair for C?

1. (0, -4)2. (-4, 0)3. (0, 4)4. (4, 0)

5

5

-5

-5

• C

What is the ordered pair for D?

1. (-1, -6)2. (-6, -1)3. (-6, 1)4. (6, -1)

5

5

-5

-5

• D

Write the ordered pairs that name points A, B, C, and D.

A = (1, 3)B = (3, -2)C = (0, -4)D = (-6, -1)

5

5

-5

-5

• A

• B• C

• D

Practice:Worksheet