Calculus with Applications (Brief Version) 12e Margaret Lial, Raymond Greenwell,
Nathan Ritchey (Test Bank All Chapters, 100% Original Verified, A+ Grade)
Answers At The End Of Each Chapter
CH 00
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Factor completely. State that the polynomial is prime if it cannot be factored.
1) 100pm 4 - 100pn 4 1)
A) p(10m 2 + n 2)(10m + n)(10m - n) B) 100p(m 2 - n2)2
C) 100(m 2p + n2)(mp + n)(mp - n) D) 100p(m 2 + n2)(m + n)(m - n)
Simplify the expression. Write the answer with only positive exponents. Assume that all variables represent positive real
numbers.
- 5b-2 b1/4
2) 2)
b-7
21/4
A) -5b23/4 B) - 5 C) b D) -5b21/4
b21/4 5
Using the variable x, write the interval as an inequality.
3) 3)
A) x < -6 or x -2 B) x < -6 or x > -2
C) -6 < x -2 D) -6 x -2
Solve the equation.
4) 1 (20x - 25) = 1 (20x - 16) 4)
5 4
A) -20 B) -1 C) 1 D) 1
20
Perform the indicated operation.
5) q + 4 q + 3 5)
3 4
A) 2q2 + 25 q + 1 B) q2 + 25 q + 1 C) q2 + 25 q + 1 D) q2 + 1
12 6 12
Factor the expression.
6) x(2x + 5)2 (x2 - 6)-1/2 + 4(x2 - 6)1/2(2x + 5) 6)
A) (2x + 5)(x2 - 6)-1/2(6x2 + 5x - 24) B) (2x + 5)2 (x2 - 6)-1/2(4x2 + x - 24)
C) (2x + 5)(x2 - 6)1/2(6x2 + 5x - 24) D) (2x + 5)(x2 - 6)-1/2(4x2 + 2x - 19)
1
,Factor completely. State that the polynomial is prime if it cannot be factored.
7) x4 - 625 7)
A) (x2 - 25)(x + 5)(x - 5) B) (x + 5)2 (x - 5)2
C) (x2 + 25)(x + 5)(x - 5) D) prime
Evaluate the expression. Write your answer without exponents.
5 -2
8) 8)
2 -3
A) 25 B) 16 C) 125 D) 8
8 125 16 25
Solve the inequality and graph the solution.
9) -2(x + 5) + 15x < -5(-3x + 8) - 3x 9)
A) (-30, )
B) (30, )
C) (- , -30)
D) (- , 30)
Write the expression in interval notation. Graph the interval.
10) x < 6 10)
A) (- , 6) B) [- , 6)
C) (- , 6] D) (6, )
2
,Solve the inequality.
11) 4 < 0 11)
(x + 3)2
A) (1, ) B) (-1, ) C) no solution D) (- , )
Perform the indicated operations and simplify.
m-1 5m - 3
12) + 12)
2 2
m + 5m - 24 m - 8m + 15
6m - 4
A) B) 6m - 4
2m2 - 3m - 9
6m 2 + 31m - 19 6m 2 + 31m - 19
C) D)
(m + 3)(m - 8)(m + 5) (m - 3)(m + 8)(m - 5)
Perform the indicated operation and simplify.
2
13) 3x · 28 13)
4 x3
2 2
A) x B) 84x C) 21x D) 21
21 4x3 x3 x
Solve the equation.
14) 1 (12x - 20) = 1 (15x - 9) 14)
4 3
A) 1 B) -8 C) 1 D) -1
8
Solve the inequality and graph the solution.
15) 21 - (2x + 3) 2(x - 5) + 3x 15)
A) ( , 4]
B) [4, )
C) 34 ,
7
34
D) ,
7
3
, Perform the indicated operation.
16) (9n5 + 20n3 + 5) - (5n5 - 8n3 - 2) 16)
A) 4n5 + 28n3 + 3 B) 39n8 C) 4n5 + 28n3 + 7 D) 4n5 + 25n3 + 3
17) (8x2 - 3x - 9) + (-5x2 - 7x + 12) 17)
A) 13x2 - 10x - 21 B) -3x2 + 10x + 3 C) 3x2 - 10x + 3 D) 13x2 - 10x + 21
Solve the inequality and graph the solution.
18) -12 + 7t + 1 6t - 15 18)
A) (- , 7)
B) [ -4, )
C) (7, )
D) (- , -4]
Solve the inequality.
19) 2x + 9 1 19)
x-4
A) (- , -13] [4, ) B) (- , -13] (4, )
C) [-13, 4) D) [-13, )
4
Nathan Ritchey (Test Bank All Chapters, 100% Original Verified, A+ Grade)
Answers At The End Of Each Chapter
CH 00
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Factor completely. State that the polynomial is prime if it cannot be factored.
1) 100pm 4 - 100pn 4 1)
A) p(10m 2 + n 2)(10m + n)(10m - n) B) 100p(m 2 - n2)2
C) 100(m 2p + n2)(mp + n)(mp - n) D) 100p(m 2 + n2)(m + n)(m - n)
Simplify the expression. Write the answer with only positive exponents. Assume that all variables represent positive real
numbers.
- 5b-2 b1/4
2) 2)
b-7
21/4
A) -5b23/4 B) - 5 C) b D) -5b21/4
b21/4 5
Using the variable x, write the interval as an inequality.
3) 3)
A) x < -6 or x -2 B) x < -6 or x > -2
C) -6 < x -2 D) -6 x -2
Solve the equation.
4) 1 (20x - 25) = 1 (20x - 16) 4)
5 4
A) -20 B) -1 C) 1 D) 1
20
Perform the indicated operation.
5) q + 4 q + 3 5)
3 4
A) 2q2 + 25 q + 1 B) q2 + 25 q + 1 C) q2 + 25 q + 1 D) q2 + 1
12 6 12
Factor the expression.
6) x(2x + 5)2 (x2 - 6)-1/2 + 4(x2 - 6)1/2(2x + 5) 6)
A) (2x + 5)(x2 - 6)-1/2(6x2 + 5x - 24) B) (2x + 5)2 (x2 - 6)-1/2(4x2 + x - 24)
C) (2x + 5)(x2 - 6)1/2(6x2 + 5x - 24) D) (2x + 5)(x2 - 6)-1/2(4x2 + 2x - 19)
1
,Factor completely. State that the polynomial is prime if it cannot be factored.
7) x4 - 625 7)
A) (x2 - 25)(x + 5)(x - 5) B) (x + 5)2 (x - 5)2
C) (x2 + 25)(x + 5)(x - 5) D) prime
Evaluate the expression. Write your answer without exponents.
5 -2
8) 8)
2 -3
A) 25 B) 16 C) 125 D) 8
8 125 16 25
Solve the inequality and graph the solution.
9) -2(x + 5) + 15x < -5(-3x + 8) - 3x 9)
A) (-30, )
B) (30, )
C) (- , -30)
D) (- , 30)
Write the expression in interval notation. Graph the interval.
10) x < 6 10)
A) (- , 6) B) [- , 6)
C) (- , 6] D) (6, )
2
,Solve the inequality.
11) 4 < 0 11)
(x + 3)2
A) (1, ) B) (-1, ) C) no solution D) (- , )
Perform the indicated operations and simplify.
m-1 5m - 3
12) + 12)
2 2
m + 5m - 24 m - 8m + 15
6m - 4
A) B) 6m - 4
2m2 - 3m - 9
6m 2 + 31m - 19 6m 2 + 31m - 19
C) D)
(m + 3)(m - 8)(m + 5) (m - 3)(m + 8)(m - 5)
Perform the indicated operation and simplify.
2
13) 3x · 28 13)
4 x3
2 2
A) x B) 84x C) 21x D) 21
21 4x3 x3 x
Solve the equation.
14) 1 (12x - 20) = 1 (15x - 9) 14)
4 3
A) 1 B) -8 C) 1 D) -1
8
Solve the inequality and graph the solution.
15) 21 - (2x + 3) 2(x - 5) + 3x 15)
A) ( , 4]
B) [4, )
C) 34 ,
7
34
D) ,
7
3
, Perform the indicated operation.
16) (9n5 + 20n3 + 5) - (5n5 - 8n3 - 2) 16)
A) 4n5 + 28n3 + 3 B) 39n8 C) 4n5 + 28n3 + 7 D) 4n5 + 25n3 + 3
17) (8x2 - 3x - 9) + (-5x2 - 7x + 12) 17)
A) 13x2 - 10x - 21 B) -3x2 + 10x + 3 C) 3x2 - 10x + 3 D) 13x2 - 10x + 21
Solve the inequality and graph the solution.
18) -12 + 7t + 1 6t - 15 18)
A) (- , 7)
B) [ -4, )
C) (7, )
D) (- , -4]
Solve the inequality.
19) 2x + 9 1 19)
x-4
A) (- , -13] [4, ) B) (- , -13] (4, )
C) [-13, 4) D) [-13, )
4
