1. Transformations Translation “Slide” Left: subtract from x-coordinate Right: add to x-coordinate Down: subtract from y-coordinate Up: add to y-coordinate Rotation “Turn” 90° Clockwise (x, y) (y, -x) 180° (x,y) (-x, -y) 90° Counterclockwise (x,y) (-y, x) Reflection “Flip” Over x-axis (x,y) (-x, y) Over y-axis (x,y) (x, -y) Dilation “Enlarge/Shrink” Multiply each coordinate by the scale factor >1 figure enlarges 0 1 figure shrinks Preimage- is the original figure Image- is the new figure. Labelled with ‘tick marks’.

2. Slope (Rate of Change) Types of Slope PositiveNegative UndefinedZero Slope formula Y 2 – Y 1 X 2 - X 1 Slope from Table

3. Slope Intercept Form Example: Equation from Two Points Graphing with slope and Y-intercept Plot the y-intercept (b) on the y-axis Count Rise and Run from that point to make second point Connect points to form line.

4. Volume Cylinder ConeSphere

5. Pythagorean Theorem

6. Relationships of Lines and Angles

7. Rules of Exponents

8. Scientific Notation The decimal moved 6 places to left. The decimal moved 3 places to the right.

9. Scatterplots and Two-Way Tables Positive relationship or association Negative relationship or association No relationship or association Totals are the same across and down

10. Functions Linear vs. Nonlinear Linear Functions: Makes a straight line No exponent on a variable Ex. Y= X 2 + 2 No multiplication or division by a variable Ex. XY = 3

11. Systems of Equations

12. Irrational and Repeating

13. Equations Ex. 5(X + 4)= 7X – 26 5X + 20 = 7X – 26 - 20 -20 5X = 7X – 46 -7X = -7X – 46 -2X = - 46 -2 -2 X = 23 NO SOLUTION Ex. 2X – 8X + 1 = 9 – 6X -6X + 1 = 9 – 6X +6X = +6X 1 = 9 + 0X 1 = 9 INFINITE/ ALL REAL SOLUTION Ex. 19X + 10 – 4X = 5(3X + 2) 15X + 10 = 15X + 10 *Notice that both sides are exactly the same. ONE SOLUTION

14. Estimating Square/Cube Roots 0 1 2 3 4 0 1 2 3 4 5