Bell Work Simplify each expression 6x + (5x – 8) – 9 – (12 – 3x) 4(6n + 9) – 10n Solve the 2-step equation 8 + 2b = – 2r = 8 Answers 11x – x or 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 I Quadrant 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)

An Ordered Pair (5,10) X- coordinate Y- 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.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

Name the quadrant in which each point is located (0, 3) 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

Name the quadrant in which each point is located (-5, 4) 1.I 2.II 3.III 4.IV 5.None – x-axis 6.None – y-axis

What is the ordered pair for A? 1.(3, 1) 2.(1, 3) 3.(-3, 1) 4.(3, -1) A

What is the ordered pair for B? 1.(3, 2) 2.(-2, 3) 3.(-3, -2) 4.(3, -2) B

What is the ordered pair for C? 1.(0, -4) 2.(-4, 0) 3.(0, 4) 4.(4, 0) C

What is the ordered pair for D? 1.(-1, -6) 2.(-6, -1) 3.(-6, 1) 4.(6, -1) 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) A B C D

Practice: Worksheet