College algebra 11th edition gustafson test bank

College Algebra, 11e, Chapter 0, Test A    Multiple Choice Identify the choice that best completes the statement or answers the question How many prime numbers are there between –2 and 18 on the number line? a b c d e f 17 19 18 Select the correct representation of the inequality in interval notation a b c d e Simplify the expression a b c d x15 x29 x6 x-9 Simplify the expression (-14x) Write the answer without using exponents a b c d -14 -1 14 College Algebra, 11e, Chapter 0, Test A    Simplify the expression Write the answer without using negative exponents Assume that the variable is restricted to those numbers for which the expression is defined a b c d Simplify the expression Write the answer without using negative exponents Assume that the variable is restricted to those numbers for which the expression is defined a b c d x4 x3 x2 x10 College Algebra, 11e, Chapter 0, Test A    Simplify the expression Write the answer without using negative exponents Assume that all variables are restricted to those numbers for which the expression is defined a b c d Simplify the expression Write the answer without using negative exponents Assume that all variables are restricted to those numbers for which the expression is defined a b c d e College Algebra, 11e, Chapter 0, Test A    Rationalize the numerator and simplify a b c d e 10 Simplify the radical expression a b c d e College Algebra, 11e, Chapter 0, Test A    11 We can often multiply and divide radicals with different indexes For example: Use this idea to write the following expression as a single radical a b c d 12 Simplify the expression a b c d e f 13 -192 67 -64 -66 -128 -24 Simplify the expression Assume that all variables represent positive numbers, so that no absolute value symbols are needed a b c d College Algebra, 11e, Chapter 0, Test A    14 Rationalize the denominator and simplify a b c d e 15 Perform division and write the answer without using negative exponents a b c d College Algebra, 11e, Chapter 0, Test A    16 Perform the division and write the answer without using negative exponents a b c d 17 Give the degree of the polynomial a b c d 18 1/2 This is not a polynomial No defined degree Perform the operation and simplify - 3a 2(a + 1) + 9a(a - 6) - a 2(a + 6) a b c d 19 5a - 9a - 54a 5a - 9a - 54 5a + 9a - 54 Multiply the expression as you would multiply polynomials (x 17/2 + y 7/2 ) a b c d x 17 - 2x 17 y + y x 17 + x 17 y + y x 17 + y x 17 + 2x 17/2 y 7/2 + y 7 College Algebra, 11e, Chapter 0, Test A    20 Factor the expression completely 4z2 + 28z + 49 a b c d 21 (2z + 7) (2z + 7) (2z + 7) (2z - 7) (2z - 7) Perform the operations and simplify Assume that no denominators are a b c d 22 Simplify the fraction Assume that denominator is not a b c d College Algebra, 11e, Chapter 0, Test A    23 Perform the operations and simplify Assume that no denominators are a b c d 24 Simplify the complex fraction Assume that the denominators are not a b c d College Algebra, 11e, Chapter 0, Test A    25 Simplify each complex fraction Assume that no denominators are a b c d 10 College Algebra, 11e, Chapter 1, Test A  Jake can wash a car in 40 minutes, while Harold can wash the same car in 50 minutes How long will it take them to wash the car if they work together? a b c d e Solve the equation a b c d e 40 minutes minutes 200 10 minutes 30 minutes 200 minutes by completing the square x = - 3, x = x = 3, x = - 15 x = 9, x = 15 x = - 3, x = 15 x = 6, x = Solve the formula for the indicated variable a b c d e Does the equation a b have any roots that are real numbers? no yes 59 College Algebra, 11e, Chapter 1, Test A  10 A piece of tin, y = 16 inches on a side, is to have four equal squares cut from its corners, as in the illustration If the edges are then to be folded up to make a box with a floor area of 16 square inches, find the depth of the box a b c d e 11 A piece of sheet metal, 16 inches wide, is bent to form the gutter shown in the illustration If the cross-sectional area is 32 square inches, find the depth of the gutter a b c d 12 A hose can fill a swimming pool in 18 hours Another hose needs more hours to fill the pool than the two hoses combined How long would it take the second hose to fill the pool? a b c d e 60 College Algebra, 11e, Chapter 1, Test A  13 Simplify the expression i14 a b c d e 14 -6 -i -1 i Simplify the expression i -26 a b c d e 15 -i - 3i -1 i Find the values of x and y x + 89 i = y - yi a b c d e 16 x = 89, y = 89 x = 89, y = 178 x = - 89, y = - 89 x = 89, y = - 89 x = - 89, y = 89 Do the operation and express the answer in a + bi form a b c d e 61 College Algebra, 11e, Chapter 1, Test A  17 Factor the expression over the set of complex numbers 9a + 16 a b c d e 18 (- 3a + 4i) (- 3a + 4i) (3a + 4i) (3a - 4i) (3a + 4) (3a - 4) (3 + 4i) (3 - 4i) (3a + 4i) (3a + 4i) In electronics, the formula V = IR is called Ohm's law It gives the relationship in a circuit between the voltage V (in volts), the current I (in amperes), and the resistance R (in ohms) Find V when I = - 7i amperes and R = + 8i ohms a b c d e 19 V = i volts V = 72 + 78i volts V = 72 volts V = 78 volts V = 72 + 50i volts Solve the inequality 2x - 13 < - a b c d e 20 Solve the inequality a b c d e none of the above 62 College Algebra, 11e, Chapter 1, Test A  21 Solve the inequality a b c d e 22 Express the relationship < C < 18 in terms of F, if a b c d e 23 24 < F < 45 22 < F < 43 21 < F < 42 27 < F < 40 23 < F < 44 Solve the inequality Express the solution set in interval notation | 3x - | < a b c d e 24 Solve the inequality Express the solution set in interval notation < | 4x + | < 11 a b c d e 63 College Algebra, 11e, Chapter 1, Test A  25 Solve the inequality Express the solution set in interval notation a b c d e none of the above 64 College Algebra, 11e, Chapter 1, Test A  Answer Section MULTIPLE CHOICE 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 ANS: E ANS: A ANS: B ANS: C ANS: B ANS: E ANS: D ANS: A ANS: A ANS: C ANS: D ANS: A ANS: C ANS: C ANS: C ANS: D ANS: B ANS: E ANS: D ANS: D ANS: B ANS: E ANS: C ANS: E ANS: C PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 1 1 1 65 College Algebra, 11e, Chapter 1, Test B  Multiple Choice Identify the choice that best completes the statement or answers the question x represents a real number Find any restrictions on x x+1=8 a b c d e no restrictions x -3 Solve the equation 2x + = 22 a b c d e Solve the equation a b c d e x = 10 x = –10 x=2 x = –13 x = 13 Juan scored points higher on his midterm and points higher on his final than he did on his first exam If his mean (average) score was 138, what was his score on the first exam? a b c d e x=8 x = 18 x=2 x = 14 x = –14 134 138 136 135 143 One morning, John drove hours before stopping to eat After lunch, he increased his speed by 10 mph If he completed a 390-mile trip in hours of driving time, how fast did he drive in the morning? a b c d e 33 mph 36 mph 48 mph 43 mph 40 mph 66 College Algebra, 11e, Chapter 1, Test B  Jake can wash a car in 25 minutes, while Harold can wash the same car in 30 minutes How long will it take them to wash the car if they work together? a b c d e Solve the equation a b c d e 150 minutes 11 minutes 20 minutes 11 minutes 150 25 minutes by completing the square x = 6, x = 10 x = 3, x = - 15 x = 9, x = 15 x = - 3, x = 15 x = - 3, x = Solve the formula for the indicated variable a b c d e Does the equation a b have any roots that are real numbers? yes no 67 College Algebra, 11e, Chapter 1, Test B  10 A piece of tin, y = 12 inches on a side, is to have four equal squares cut from its corners, as in the illustration If the edges are then to be folded up to make a box with a floor area of 16 square inches, find the depth of the box a b c d e 11 A piece of sheet metal, inches wide, is bent to form the gutter shown in the illustration If the cross-sectional area is 10 square inches, find the depth of the gutter a b c d 12 A hose can fill a swimming pool in 12 hours Another hose needs more hours to fill the pool than the two hoses combined How long would it take the second hose to fill the pool? a b c d e 68 College Algebra, 11e, Chapter 1, Test B  13 Simplify the expression i34 a b c d e 14 i -i -6 -1 Simplify the expression i -26 a b c d e 15 i -i - 3i -1 Find the values of x and y x + 62 i = y - yi a b c d e 16 x = 62, y = 62 x = 62, y = - 62 x = - 62, y = - 62 x = 62, y = 124 x = - 62, y = 62 Do the operation and express the answer in a + bi form a b c d e 69 College Algebra, 11e, Chapter 1, Test B  17 Factor the expression over the set of complex numbers 4a + a b c d e 18 (2 + 3i) (2 - 3i) (2a + 3) (2a - 3) (- 2a + 3i) (- 2a + 3i) (2a + 3i) (2a - 3i) (2a + 3i) (2a + 3i) In electronics, the formula V = IR is called Ohm's law It gives the relationship in a circuit between the voltage V (in volts), the current I (in amperes), and the resistance R (in ohms) Find V when I = - 2i amperes and R = + 9i ohms a b c d e 19 V = 57 volts V = 48 + 57i volts V = 48 + 33i volts V = 48 volts V = i volts Solve the inequality 2x - 13 < - a b c d e 20 Solve the inequality a b c d e none of the above 70 College Algebra, 11e, Chapter 1, Test B  21 Solve the inequality a b c d e 22 Express the relationship < C < 16 in terms of F, if a b c d e 23 42 < F < 87 45 < F < 90 44 < F < 89 43 < F < 88 48 < F < 85 Solve the inequality Express the solution set in interval notation | 3x - | < a b c d e 24 Solve the inequality Express the solution set in interval notation < | 4x + | < a b c d e 71 College Algebra, 11e, Chapter 1, Test B  25 Solve the inequality Express the solution set in interval notation a b c d e none of the above 72 College Algebra, 11e, Chapter 1, Test B  Answer Section MULTIPLE CHOICE 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 ANS: A ANS: A ANS: A ANS: C ANS: E ANS: A ANS: D ANS: C ANS: A ANS: B ANS: A ANS: D ANS: E ANS: E ANS: C ANS: C ANS: D ANS: C ANS: A ANS: E ANS: D ANS: C ANS: A ANS: B ANS: A PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: PTS: 1 1 1 1 1 1 1 1 1 1 1 1 73 ... b c d e College Algebra,  11e, Chapter 0, Test A    Rationalize the numerator and simplify a b c d e 10 Simplify the radical expression a b c d e College Algebra,  11e, Chapter 0, Test A ... denominators are not a b c d College Algebra,  11e, Chapter 0, Test A    25 Simplify each complex fraction Assume that no denominators are a b c d 10 College Algebra,  11e, Chapter 0, Test A    Answer Section... d e 14 College Algebra,  11e, Chapter 0, Test B  Rationalize the numerator and simplify a b c d e 10 Simplify the radical expression a b c d e 15 College Algebra,  11e, Chapter 0, Test B