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Test Bank For College Algebra, 5th Edition by Kirk Trigsted Chapter 1-9
Test Bank For College Algebra, 5th Edition by Kirk Trigsted Chapter 1-9
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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the absolute value inequality. Write your answer in interval notation.
1) -|5 - 4x| + 4 > -4 1)
3 3 13
A) - , B) - ,
4 4 4
3 3 13
C) - , - D) - , - ,
4 4 4
Write the sentence as an equation. Let the variable x represent the number.
2) The product of 3 and a number increased by 2 is 15. 2)
A) 6x = 15 B) 3x + 2 = 15 C) 3(x + 2) = 15 D) 3x - 2 = 15
Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the
equation.
3) 4x2 + 6x + 8 = 0 3)
A) exactly one real solution B) two real solutions C) two nonreal solutions
Solve the problem.
4) Two friends decide to meet in Chicago to attend a Cub's baseball game. Rob travels 94 miles in the 4)
same time that Carl travels 84 miles. Rob's trip uses more interstate highways and he can average
5 mph more than Carl. What is Rob's average speed?
A) 47 mph B) 51 mph C) 42 mph D) 43 mph
Solve the polynomial inequality. Express the solution in interval notation.
5) x2 - 9x + 14 > 0 5)
A) (- , 2) B) (7, ) C) (2, 7) D) (- , 2) (7, )
Solve the linear inequality. Express the solution in set-builder notation.
7 10 73
6) - x - <- 6)
9 9 7
587 73 587 73
A) x|x > B) x|x > - C) x|x > D) x|x < -
7 49 49 7
Find the real solutions, if any, of the equation. Use the quadratic formula.
7) 3x2 + x - 1 = 0 7)
-1 - 13 -1 + 13 -1 - 13 -1 + 13
A) , B) ,
2 2 6 6
1- 13 1 + 13
C) , D) no real solution
6 6
Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the
equation.
8) x2 - 4x - 5 = 0 8)
A) exactly one real solution B) two nonreal solutions C) two real solutions
1
,Find all solutions.
9) x3 + 5x2 - 4x - 20 = 0 9)
A) {-2, 2, -5} B) {2, -5} C) {4, -5} D) {-2, 2, 5}
Write the expression in the standard form a + bi.
10) (6 + 7i) - (-8 + i) 10)
A) 14 - 6i B) -2 + 8i C) 14 + 6i D) -14 - 6i
Solve the polynomial inequality. Express the solution in interval notation.
11) (x + 6)(x - 3)(x - 4) > 0 11)
A) (4, ) B) (- , 3) C) (- , -6) (3, 4) D) (-6, 3) (4, )
Solve the problem.
12) Janet is training for a triathlon. Yesterday she jogged for 10 miles and then cycled another 45.5 12)
miles. Her speed while cycling was 6 miles per hour faster than while jogging. If the total time for
jogging and cycling was 4.5 hours, at what rate did she cycle?
A) 12 miles per hour B) 16 miles per hour
C) 14 miles per hour D) 13 miles per hour
Solve the equation.
13) 0.05(40) + 0.40x = 0.20(40 + x) 13)
A) {40} B) {15} C) {30} D) {20}
Solve the problem.
14) Johnny's rental company charges $48 per day for a small truck plus $0.12 per mile. Annie's rental 14)
company charges $96 per day for the same size truck plus $0.06 per mile. For what number of
miles driven (in one day) will Annie's company be cheaper?
A) less than 400 miles B) more than 900 miles
C) less than 800 miles D) more than 800 miles
Solve the rational equation.
2x 4x2 + 2x
15) 2 = + 15)
x+2 x3 + 8
4 8 8 4
A) B) C) D)
7 5 3 9
Decide what number must be added to the binomial to make a perfect square trinomial.
5
16) x2 + x 16)
6
25 25 1 25
A) B) C) D)
36 72 6 144
Solve the linear inequality. Express the solution in set-builder notation.
17) -5(4x + 8) < -25x - 5 17)
A) {x|x < 7} B) {x|x < -25} C) {x|x > -25} D) {x|x > 7}
2
,Solve the equation.
1 1
18) x - 1 = x + 7 18)
4 3
2 2
A) 96 B) C) - 96 D) -
3 3
Solve the problem.
19) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet 19)
longer than the length of a shelf. If 26 feet of lumber are available for the entire unit (including the
shelves, but NOT the back of the bookcase), what values are possible for the length of a shelf?
A) length 4.5 feet B) length 3 feet
C) length 3 feet D) length 11.0 feet
Solve the absolute value equation.
20) |2x + 9| + 8 = 14 20)
3 15 15 3 5 1
A) , B) - ,- C) D) - , -
2 2 2 2 3 3
Solve the equation.
-7x + 6 7 5x
21) + =- 21)
6 6 7
7 91 7 91
A) - B) C) D)
19 19 19 79
Solve the radical equation.
22) 2x + 5 - x - 2 = 3 22)
A) {2, 38} B) {2} C) {3, 8} D) {-2}
Solve the problem.
23) George and Matt have a painting business. George has less experience and it takes him 2 hours 23)
more to paint a medium sized room than it takes Matt. Working together they can paint a medium
sized room in 7 hours. How long does it take each of them working individually? Round to the
nearest tenth of an hour.
A) George: 13.3 hours, Matt: 11.3 hours B) George: 14.2 hours, Matt: 12.2 hours
C) George: 15.7 hours, Matt: 13.7 hours D) George: 15.1 hours, Matt: 13.1 hours
3
, 24) Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple 24)
interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total
interest for that year was $900, how much did Kevin invest in the mutual fund?
A) $4000 B) $7000 C) $5000 D) $6000
Solve the linear inequality. Graph the solution set on a number line, and express the solution using interval notation.
25) -21x + 3 -3(6x + 4) 25)
A) (- , 5)
B) [5, )
C) [5, )
D) (- , 5]
Determine whether the equation is linear or nonlinear.
1
26) 22x - = 4 26)
8
A) linear B) nonlinear
Solve the equation.
27) 4(2x - 4) = 7(x + 5) 27)
A) {51} B) {23} C) {-19} D) {-51}
Write the expression in the standard form a + bi.
28) (3 - 9i) + (5 + 5i) 28)
A) 8 + 4i B) -2 + 14i C) 8 - 4i D) -8 + 4i
Solve the rational inequality. Express the solution in interval notation.
x-7
29) <0 29)
x+9
A) (- , -9) (7, ) B) (-9, 7) C) (- , -9) D) (7, )
4
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