Review for MA098 Real Numbers and Variables

Transcription

1 Review for MA098 Real Numbers and Variables 1) Ben lost $235 on each of 6 consecutive days in the stock market. If he had $15,150 before his loss, how much does he have after his loss? 1) 2) (-58.9) 2) 3) 0 - (-5) 3) 4) (-0.8) ) Simplify. 5) (0.5) 3 5) 6) (-8)(5) 6) 7) (- 1 4 ) 7) Simplify. 8) ) 9) y - 6x 9x + xy for x = -3 and y = 1 9) 10) 5(3)(-7) 10) List the like terms of the expression. 11) -8y x + y ) 12) (0.03)2 12) 13) In a home economics class, students cut triangular pieces of fabric for a quilt. Each triangle had a base of 21 centimeters and an altitude of 28 centimeters. What was the area of each triangular piece of fabric? 13) 1

2 14) ) 15) The temperature on a December morning is -10 F at 5a.m. If the temperature drops 4 by 6 a.m., rises 8 by 7 a.m., and then drops 3 by 8a.m., find the temperature at 8 a.m. 15) 16) ) 17) (-0.14) - (-0.74) 17) Divide and write the answer in simplest form. 18) ) 19) (-2-6)(-5 + 2) ) List the like terms of the expression. 20) 3x7 + 6x x7-2x 2 + 7x 20) 21) ) Combine like terms. 22) 4a + 8b b + 7a ) 23) Lauren scored 13 points in her basketball game on Monday, 15 on Wednesday, 16 on Friday, and 18 on Saturday. Find her total points scored for the week. 23) 24) The temperature at 5:00 was -3 C. Four hours later, it was -9 C. What was the change in temperature? 24) 25) A deep-sea diver dives from the surface to 75 feet below the surface. She then dives down 23 more feet. Find the diver's depth. 25) 26) 8(4)(0)(-4) 26) 27) At the start of a chemistry experiment, Sarah measured the temperature of a liquid to be -16 C. At the end of the experiment, it had risen 34 C. What was the liquid's temperature at the end of the experiment? 27) 2

3 28) 3x2-9x + 4 for x = -2 28) Simplify. 29) 6(2 - x) - 4(-3 + 6x) 29) 30) a 2-7abc - c 2 for a = -8, b = 2, and c = 6 30) Combine the numbers. 31) (-2) ) 32) ) Combine the numbers. 33) ) Use a real number to represent the situation. 34) After a year at Weight Watchers, Simone had lost 45 pounds. 34) 35) The expression 5 (F - 32) can be used to convert Fahrenheit to Celsius degrees. On January 9 35) 29, the high temperature was 59 F. Find the corresponding Celsius temperature (to the nearest degree). 36) Find the total cost of tiling a rectangular floor that is 4 meters long and 6 meters wide if it costs $7.24 to tile one square meter. Round to the nearest cent. 36) List the like terms of the expression. 37) -8pq + 5pq 2-2p 2 q - 6pq 37) 38) 6x - 3y x + 8 for x = 6, y = 5 38) 39) ) 40) (-400)(0.08)(-78)(11) ) 41) 15 - (-15) 41) 3

4 Find the additive inverse (opposite). 42) ) Combine the numbers. 43) (- 5.6) ) Write the expression in exponent form. 44) (4)(4)(4) 44) 45) Scores in golf can be positive or negative integers. For example, a score of 8 over par can be represented by +8 and a score of 1 under par can be represented by -1. If Donna had scores of 5 over par, 7 under par, and 8 under par for three games of golf, what was her total score? 45) Use the distributive property to simplify. 46) -3x(x - 5y + 3z) 46) 47) The Neighborhood Lemonade Stand, Inc. reported net incomes of -$270, -$188, and -$339 for the past three years. What was its total net income for these three years? 47) Use a real number to represent the situation. 48) The little girl was upset at losing 54 cents. 48) Simplify by removing grouping symbols and combining like terms. 49) 8{4y 2 + 5[3y 2 - (y + z 2 )]} 49) Write the expression in exponent form. 50) (2)(2)(2)(2)(2)(2) 50) 4

5 Answer Key Testname: REAL NUMBERS 1) $13,740 2) ) 5 4) ) ) -40 7) ) -30 9) ) ) -8y and y are like terms 3, - 2, and - 6 are like terms 12) ) 294 square centimeters 14) 18 15) -9 F 16) ) ) 0 19) ) 3x7 and 9x7 are like terms 21) x 2 and -2x 2 are like terms 22) 11a + 11b ) 62 points 24) -6 C 25) 98 feet below the surface 26) 0 27) 18 C 28) 34 29) -30x ) ) 8 32) 2 33) 34 34) ) 15 C 36) $ ) -8pq and - 6pq are like terms 38) ) ) ) 30 5

6 Answer Key Testname: REAL NUMBERS 42) ) ) ) -10 or 10 under par 46) -3x xy - 9xz 47) -$797 48) ) 152y 2-40y - 40z 2 50) 26 6