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I ain’t afraid of no SOL test! Theme Song Eat a Good Breakfast Use Your Scratch Paper!! Trapezoid -- must have . . . ONE set of parallel sides! Parallelogram -- must have . . . TWO sets of parallel sides! Rectangle -- must have . . . FOUR right angles! Rhombus -- must have . . . FOUR equal (congruent) sides! Square -- must have . . . FOUR right angles AND FOUR = sides! y ___axis II I (2, 0) III (-2, -4) x ___axis IV x y Domain ____________ Independent _____________ Dependent Range Translate the figure (2, -4): A is at (-7,2) . Where will AI be?? This means two units to the RIGHT and four units DOWN! AAI AI = (-5,-2) Reflect the figure over the x axis: A is at (-8,2) . Where will AI be?? The reflected point must be the same distance from the x axis! A AI AI = (-8,-2) Dilate the figure by a scale factor of ½ : A is at (6, 2) . Where will AI be?? Multiply by the scale factor! AI AI = (3, 1) A Rotate the figure 90⁰ counter- clockwise: A is at (2,1) . Where will AI be?? The x and y coordinates switch with each turn! CI BI B AI A AI = (-1, 2) C Key Words: Cover Wrap Paint Outside SURFACE AREA Square² _________ UNITS Key Words: Fill Hold Pour Inside VOLUME: Cubic³ ________ UNITS If we double dimension (length, width, or height) in a prism, the also _______________. DOUBLES Does the surface area also double? NO!!! Surface Area would increase, but not double. What if we divided a dimension by 3? would also divide by 3. 8 in. 4 in. 3 in. V = 36 in.3 3 in. V = ____ 72 in.3 USE YOUR SCRATCH PAPER!! zero positive false false true true │2 / 3 │ = - 2 / 3 -2.5 = │2.5 │ │-40 │ = 40 8 = │- 8 │ SIGNS SAME SIGNS DIFFERENT SUBTRACT ADD Keep Sign of Larger Absolute Value Keep Sign 4+3= -4 + -3 = 7 -7 4 + -3 = -4 + 3 = 1 -1 K C C Piece of Cake! Adding Integers: -2 + 6 = ? Answer: -2 + 6 = 4 Answer: 2 + (-7) = -5 Multiplying Integers: 3(-3) = -9 Three groups of -3 . . . 3(-2) = -6 Three groups of -2 . . . Read the Question Carefully USE YOUR SCRATCH PAPER! Turn Fraction CLOCKWISE to the RIGHT!! 8 3 It’s as easy as riding a bike! 7.5% = 0.075 “To the left, to the left!” “To the right, to the right!” .014 = 1.4% 100 𝟏 𝟏 x 𝟏𝟎 𝟏𝟎 1 𝟏 𝟏𝟎𝟎 .01 NOT 4 4 16 = 4 AREA SIDE 456,000 5 0.000515 4 difference ratio the USE YOUR SCRATCH PAPER!! Favorable Outcomes Total Possible Outcomes What is the Probability of spinning a number greater than five? 3/ 8 THEORETICAL PROBABILITY is what SHOULD happen (based on math). EXPERIMENTAL PROBABILITY is what ACTUALLY happens (do the experiment)! How Many Total Outcomes? MULTIPLY, MULTIPLY, MULTIPLY!! Two Number Cubes: 6 x 6 = 36 Two Coins and One Number Cube: 2 x 2 x 6 = 24 Choice of these letters for a four-letter code: A, B, C, D, E, F That’s SIX letter choices . . . 6 x 6 x 6 x 6 = 1,296 You spin the below spinner and flip a coin: 𝟒 𝟖 x 𝟏 𝟐 = = 𝟒 𝟏𝟔 𝟏 𝟒 You have a bag of jolly ranchers. are red, are blue, and are green. You pick two pieces without putting any back. 𝟕 𝟐𝟎 x 𝟔 𝟏𝟗 = 𝟐𝟏 𝟒𝟐 = 𝟏𝟗𝟎 𝟑𝟖𝟎 Use Your Scratch Paper!! Goal: Get x by itself!!! Golden Rule: Whatever you do to one side of the equation , you MUST do to the _______________. other side 6x – 4 +4 6x 6 x = 8 +4 = 12 6 = 2 PLUG “2” BACK INTO EQUATION! 6(2) – 4 = 8 It works! When multiplying or dividing by a __________, negative # we switch the inequality sign! 2x > -5 no 𝒙 < 2 −𝟒 yes (Yes or No) - x + (2) < 5 yes x + (-2) > -17 no Does the bird get the worm? x>6 open x≥3 closed x ≤ -2 closed x<7 open x > -3 x≤1 Which Table Matches? x y x y -2 0 0 -2 0 -1 1 0 -5 4 -2 3 x y x y -2 0 0 -2 1 0 -2 0 2 -1 3 -5 Check ALL ordered pairs! Which Equation Matches? x y 1 9 2 17 3 25 Plug in ALL x values into equation! A. y=x+8 B. y = 9x C. y = 8x + 1 D. y = 7x + 2 y = mx + b slope y- intercept A. y = 2x - 5 B. y = -2x + 5 C. y = -5x + D. 𝟏 𝟐 y = -2x - 5 POSITIVE UPHILLS have ______________ SLOPES! DOWNHILLS have ______________ SLOPES! NEGATIVE % 100 = 𝑝𝑎𝑟𝑡 𝑤ℎ𝑜𝑙𝑒 For tax, tip, or discount problems, Remember that the original price goes in the whole position!! Example: The original price of a T-shirt is $19.50. The discount is 20%. What is the sale price ? 20 𝑥 Step One: Find discount. = 100 19.50 100𝑥 390 = 100 100 x = $3.90 Step Two: Subtract discount. $19.50 - $3.90 = $15.60 Take Your Time!!!! USE Your Scratch Paper!! + + = (½ · 4) + 2x yzx ORDER Notice that the ________ switches, but the answer stays the same! + + = + + x + (4 + 2y) GROUPING Notice that the _____________ changes, but answer stays the same! Distributive Property + = + 7x + 7y 7(x + y) = ___________ Identity Property Just remember you can secure your identity if you: 0 = ____ ½ ½ + ____ OR ½ ● ____ ½ 1 =____ Inverse Property “Zero Pair” Property!! 4x + ___ -4x = 0 4 1/ ● ___ 4 =1 USE YOUR SCRATCH PAPER Don’t Stress It’s just a test. Believes in