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PS 500 REVIEW 1. 6 2 Name: Period: 6 7 5 Use the Distributive Property to simplify the following expressions. Jumbled answers are on the right! a) 2(6x - 1) + 4 c) 8 + 6(x + 3) b) 2x + 3(4 + 2x) d) 4 + 5(x + 6) -20 12x+ 2 x+ 12 36 x+ 2 1 - e) 2. 2x + 7(x + 1) Use rectangles to multiply each of the following. a) 6(2x - 5) b) 7(2x - 3) c) Ans: ___________ 3. Ans: ___________ b) Perim: _________ (x - 3)(x + 9) d) Ans: ___________ c) Perim: _________ +34 -5x e) Ans: ___________ -4x+16 (x + 1)(x - 6) Ans: ___________ d) Perim: _________ e) Perim: _________ Perim: _________ Use the table method to write variable expressions for each of the following. Use n for the variable. a) Chris is two years younger than three times George's age. How old is Chris? b) Adam is five years older than twice Betty's age. How old is Adam? Chris Adam N 5. (x + 2)(x + 3) h) 7 + -1(4x + -9) 8x+12 -6x -10 Find the perimeter of each shape from above. a) 4. g) 8 + -4(7 - 3x) f) 8 + 4(7 - 3x) 9x+7 N Factor the following expressions in at least TWO DIFFERENT WAYS! a) 20x + 60 b) 8x + 40 c) 20x + 30 d) 12x + 20 6. Two of these points are not like the others: Plot and connect the points on the table below. a) x y 8 7 -4 3 -5 6 2 1 6 5 -2 1 -3 4 0 -1 x b) Identify the two points that do not fit the pattern, and correct them in part a) so they fit the pattern. c) Write a "rule" or equation for this graph: y = ______________ 7. Use your knowledge of percents to answer each of the following problems. Be sure to show your work. a) 1% of 100 is______ b) Payton bought an Xbox One for $400. She also had to pay 6% 6% of 100 is______ sales tax for the purchase. What was the total she had to pay? 10% of 100 is______ 25% of 100 is______ 30% of 100 is______ 50% of 100 is _____ c) Trevor also bought an Xbox One, but he bought it on sale: 30% off! 75% of 100 is _____ How much did Trevor pay for his purchase? 100% of 100 is _____ 150% of 100 is _____ 300% of 100 is _____ 8. Find the area of each shape. a) b) c) 5 5 8 Area: _________ 5 8 2 Area: _________ 2 Area: _________ - e) b) 7x + 2x - 2 f) -8 + 6 + 2x2 + 5x c) 10x + x + 3x + x g) 5x + 7 + 12x + -13 h) 2x + 9x + 13 2x + 8x + 5x -3x +8 x+ 17 5x + 8 + -8x = -2x + -4 -6 - - 7+ x+3-x - 15x d) 9x + 1x -2 2x 2 + 5x -2 - a) 3 Simplify the following expressions. Jumbled answers are on the right! -7x + 1 9. 5 10 10 Area: _________ d)