math 12 test 1 review

# math 12 test 1 review - Math12/Test#1Review...

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Math 12 / Test # 1 Review Erika Noffsinger / Fall 2009 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the equation. 1) 8 - 4x = 2 - 2x 1) 2) - 2x - 3 + 2(x + 1) = 7x + 22 ) 3) - 5x + 6 2 + 7 2 = - 4x 5 3) Solve the equation. The letters a, b, and c are constants. 4) x a + x b = c, a 0, b 0, a - b4 ) Solve the formula for the indicated variable. 5) P - 3Q 7 = P + 5 2 + 1 for P5 ) Solve the equation. 6) 3 x + 5 + 2 2x + 1 = 4 x - 2 6) 7) 1 x + 1 x - 8 = x - 7 x - 8 7) Solve the problem. 8) An auto repair shop charged a customer \$487 to repair a car. The bill listed \$87 for parts and the remainder for labor. If the cost of labor is\$50 per hour, how many hours of labor did it take to repair the car? 8) 9) After a 14% price reduction, a boat sold for \$22,360. What was the boat ʹ s price before the reduction? (Round to the nearest cent, if necessary.) 9) 10) It costs \$21 per hour plus a flat fee of \$30 for a plumber to make a house call. After writing an equation for this situation, what is the total cost to have a plumber come to a house for 8 hours? 10) Solve the equation by factoring. 11) x 2 - - 36 = 0 11) 12) 4x 2 + 3x - 10 = 0 12) 1

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13) x(x - 9) + 18 = 0 13) 14) x - 4 x = 15 x + 4 14) Find the real solutions of the equation by factoring. 15) x 3 + 9x 2 - x - 9 = 0 15) Solve the equation by the Square Root Method. 16) (x + 4) 2 = 15 16) Solve the equation by completing the square. 17) x 2 + 18x + 70 = 0 17) 18) 1 2 x 2 + 1 8 x - 1 4 = 0 18) Find the real solutions, if any, of the equation. Use the quadratic formula. 19) 3x 2 + x - 6 = 0 19) Solve the problem. 20) A ball is thrown vertically upward from the top of a building 96 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s = 96 + 80t - 16t 2 . After how many seconds will the ball pass the top of the building on its way down? 20) Write the expression in the standard form a + bi. 21) 6 6 + 7i 21) 22) 7 + 2i 4 - 9i 22) 23) 2 2 + 2 2 i 2 23) 24) 2i 15 - i 7 24) 25) If z = 9 + 6i and w = - 5 + i, evaluate z - w . 25) 26) If z = 8 - 6i and w = 9 + 2i, evaluate z + w . 26) 2
Solve the equation in the complex number system. 27) x 4 - 2x 2 - 3 = 0 27) Find the real solutions of the equation. 28) 6x + 7 = 7 28) 29) 5 1 - x = - 2 29) 30) x 2 - 3x + 18 = x + 2 30) 31) 3x + 10 - x + 2 = 2 31) 32) 2 - 3x = 6 32) 33) (3x - 7) 1/2 = 4 33) 34) x 6 - 7x 3 - 8 = 0 34) 35) (3x - 2) 2 - 9(3x - 2) + 18 = 0 35) 36) 1 (x - 2) 2 - 2 x - 2 = 3 36) 37) 5x - 2 - 13x - 1 - 6 = 0 37) Solve the inequality. Express your answer using interval notation. 38) - 2x - 5 - - 12 38) 39) - 3(3x + 11) < - 12x - 12 39) 40) - 11 - - 1 < - 7 40) Solve the problem. 41) What is the domain of the variable in the expression 4x - 12 ? 41) 3

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42) A real estate agent agrees to sell an office building according to the following commission schedule: \$29,000 plus 25% of the selling price in excess of \$700,000. Assuming that the office building will sell at some price between \$700,000 and \$1,100,000, inclusive, over what range does the agent ʹ s commission vary? 42) Solve the equation. 43) 2(x + 1) + 6 = 10 43) 44) |x 2 - 4x - 4| = 8 44) 45) 4x - 6 = x + 6 45) Solve the inequality. Express your answer using interval notation.
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## This note was uploaded on 01/07/2010 for the course MATH 1 taught by Professor Staff during the Spring '08 term at UC Davis.

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math 12 test 1 review - Math12/Test#1Review...

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