Identify the specified numbers by circling. 1) The integers in the following list: 8 16, 8, -10, 0, 9, - 9

Transcription

1 MAT C TEST 1 REVIEW NAME Identify the specified numbers by circling. 1) The integers in the following list: 8 16, 8, -10, 0, 9, - 9, 5.5, ) The rational numbers in the following list: 0 14, 8, -12, 0,, 16, ) The irrational numbers in the following list: 0 20, 5, -22, 0,, 16, ) The real numbers in the following list: 0 1, 6, -12, 0, 8, 25 5) The real numbers in the following list: 36, 5, -6.2, -6.2, 1.2, 3.4, -6, -25 6) The imaginary numbers in the following list: 4, 7, -4.2, -4.2, -0.29, 5.9, -8, -49 Insert the correct sign of inequality (> or <) between the given numbers. 7) -4 8) ) Locate each number on a number line. 2 10) 2, - 2, 3, 3 Write the numbers in numerical order, smallest to largest. 11) 10, -7, 8, - 6, 8 7 1

2 Circle "True" or "False" for each of the following statements. 12) True or False. Every whole number is a real number. 13) True or False. Some rational numbers are irrational. 14) True or False. Some rational numbers are integers. 15) True or False. Every integer is an irrational number. 16) True or False. Some real numbers are integers. 17) True or False. The absolute value of any number is positive. 18) True or False. The absolute value of any nonzero number is an irrational number. 19) True or False is an imaginary number. Evaluate each of the following, if possible. Support your answer using a related multiplication statement. 20) ) 0-63 Find the value of the expression. 22) (-7-6)[6 + (8 + 4)] 23) ) 8 (5 + 4) (8-1) 2

3 Determine which of the fundamental laws of algebra is demonstrated. Circle correct answer. 25) (9 + 6) + 1 = (6 + 9) ) (4 2) 8 = 4 (2 8) 27) 6(x + 3) = 6x Determine whether the given number is approximate or exact. 28) The history class has 23 students. 29) Susan's new car gets 33 miles per gallon of gasoline. 30) The ammeter showed a reading of 0.36A. 31) Jennifer has 32 teeth. 32) The blackboard in the mathematics classroom is 142 inches long. Determine the number of significant digits in the given approximate number. 33) 31,900 34) ) ) ) 80,010 38) ) ) ) ) First determine which number (x or y) is more accurate, then which is more precise. 43) x = 0.070, y = ) x = 7,000, y =

4 Round off the approximate number as indicated. 45) significant digits 46) significant digits 47) 80 3 significant digits 48) significant digits 49) significant digits 50) significant digits 51) significant digits 52) significant digits 53) significant digits 54) significant digits Perform the indicated operations on a calculator. Express the result with the proper accuracy and precision. Assume that all numbers are approximate. 55) ) 6.03(94.69) 57) ) ) Perform the indicated operation and express with the proper accuracy and precision. The first number given is approximate and the second number is exact. (Use calculator if needed). 60) ) )

5 Solve the problem. All numbers are approximate. 63) The current (in amperes, A) running through a resistor in an electric circuit can be calculated by dividing the voltage measured across the resistor (in volts) by the resistance of the resistor (in ohms). If the voltage measured across a resistor is 189 volts and the resistance is 240 ohms, how much current runs through the resistor? Simplify. 64) (-3x3)(-7x5) 65) (5m4z4)(4m3z2) 66) 12x 8y7-6x5y4 Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers. 67) (-5x4y)3 68) a4 b5 3 69) ) (6x)0 71) (x6)-3 72) (mn)-9 73) (x-2y-5) -7 74) (3xy)-4 5

6 75) 2x4 y5-4 76) -28n 8 7n 77) x6y4 wz5-3 Express the number in standard notation. 78) ) Express the number in a) scientific notation and b) engineering notation. 80) ) 291,000,000,000,000,000 82) 7,287,000,000 Rewrite each number using scientific notation before performing the operation. Express your answer in scientific notation form. 83) (3,000,000)(0.003) 84) Perform the indicated conversions. 85) Convert each binary number to decimal. a) 1010 b) ) Convert each decimal number to binary. a) 35 b) 952 6

7 87) Convert each binary number to hexadecimal. a) 1100 b) ) Convert each hexadecimal number to binary. a) 9F b) 3A5E 89) Convert each hexadecimal number to decimal. a) B2 b) ) Convert each decimal number to hexadecimal. a) 88 b) 2093 Determine the principal value without using a calculator ) 225 Express in simplest radical form. 92) 96 93) ) 80 Simplify. 95) Find the value of each square root by use of a calculator. Each number is approximate. 96) )

8 Combine like terms and write in descending order. 98) -9y3-6y2 99) 9x3 + 3x3-5x3 100) -6m9 + 12m4-11m3 + 8m9-5m4 Perform the indicated operation. 101) (14a4-3a3) - (-18a4-19a3) 102) (5-3x7 + 9x9-9x8) + (-7x8-5x x9) Simplify the expression. 103) x - [9x - (x - 4)] 104) z - {4z + [3z - (7z - 5) + 8]} Find the product. 105) (-3x4)(2x2) 106) -6x3(4x7 + 7x6) 107) -7a2x7(4a6x7 + 6x5-10a) Perform the indicated operations. 108) (3x + 5y)(6x - y) 8

9 109) 6(4x + 2y)(6x - 5y) 110) (10m + 3)2 111) 2 3x Divide. Use positive exponents in final answer. 112) 32x 6-12x5 + 20x4 4x5 113) 6x x9 + 6x8 + 15x6 + 7x4 3x8 Perform the long division. 114) p 2 + 3p - 14 p ) -10x 3 + 7x2 + 37x x - 4 9

10 Perform the long division. 116) a 3- a + 10 a - 4 Solve the equation, if possible. If the equation is an identity or contradiction, state this. 117) -8x + 6(3x - 4) = -6-8x 118) 6(x + 5) - (6x + 30) = 0 119) 1 5 (10x - 20) = 1 (8x - 4) 2 Solve the equation for the indicated variable. 120) 9r + 1 = 2s for r 121) q + 7x = 3q + 3 for q 10

11 Solve the problem. 122) Two cities are 69.8km apart. Vehicle A leaves one city at the same time vehicle B leaves the other. Find the speed of vehicle A if it travels 6.90 km/h faster than vehicle B and if they pass in 15.4 minutes. 11