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Chapter 02
Review and Applications of Algebra
Multiple Choice Questions
1. Evaluate: L(1 - d1)(1 - d2) for L = $1000, d1 = 0.30, and d2 = 0.20.
A. $440.00
B. $500.00
C. $1785.71
D. $560.00
E. $600.00
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
2. Simplify and collect like terms: -a + (2b - c) - (a -b +c)
A. -2a + 3b - 2c
B. -2a + b - 2c
C. 3b - 2c
D. -2a + 3b
E. -2a + 2b - 2c
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
3. Simplify and collect like terms: 1 - (3x - xy + y) - (-x + y - 5xy)
A. 1 - 2x - 2y - 6xy
B. 1 - 2x - 2y + 6xy
C. 1 - 4x - 2y + 6xy
D. 1 - 2x - 2y + 4xy
E. 1 - 4x - 2y - 6xy
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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Canada 3rd Edition Jerome
4. 2(b - 2) - (b - 2) =
A. b + 6
B. 3b - 2
C. 3b + 2
D. b - 2
E. b - 6
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
5. Simplify and collect like terms: 3(x - 2y)(2x + y)
A. 6x2 - 6xy - 6y2
B. 6x2 + 10xy - 6y2
C. 6x2 - 9xy - 6y2
D. 6x2 - 9xy + 6y2
E. 6x2 + 10xy + 6y2
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
6. Simplify and collect like terms: 9x - [4y - 3(x - y)]
A. 12 x + 7y
B. 6x - 7y
C. 6x + 7y
D. 12x - 7y
E. 9x - 7y
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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7. Simplify and collect like terms:
A. 4x + 2y
B. 4xy - 2y
C. 4xy + 2y2
D. 4x - 2y
E. 4xy - 2y2
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
8. Simplify and collect like terms:
A. 2y2 - 3x2y + 5y3
B. 2xy - 3x2y + 5y3
C. 2y - 3x2y + 5y
D. 2y - 3x2 + 5y
E. 2y - 3x2y + 5y3
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
9. The following algebraic expression , can be classified as:
A. monomial
B. binomial
C. trinomial
D. multinomial
E. All choices are incorrect
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-02 Definitions
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10. The following numerical coefficient(s) of , is/are:
A. -4,2
B. 3,4
C. 2
D. 3,-4,2
E. 3,-4
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-02 Definitions
11. The following algebraic expression can be classified as:
A. monomial
B. binomial
C. trinomial
D. multinomial
E. All choices are incorrect
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-02 Definitions
12. Simplify and collect like terms:
4x + 5 - 2.1(x - 7)
8
A. -1.6x - 14.075
B. -1.6x - 15.325
C. 2.6x + 15.325
D. 2.6x - 14.075
E. -1.6x + 15.325
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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Canada 3rd Edition Jerome
13. Simplify:
A. -2a + 13
B. -2a - 1
C. -2a + 7
D. 2a + 7
E. 2a - 1
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
14. Simplify the following: a2 x a6 x a
A. a8
B. a7
C. a9
D. a12
E. a13
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
15. Simplify the following: (a2) (a-6) (a3)
A. a11
B. a
C. a-36
D. a-1
E. a-5
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
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16. Simplify the following: b b
8 2
A. b4
B. b10
C. b16
D. b-6
E. b6
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
17. Simplify the following: y8 y5
A. y13
B. y3
C. y-40
D. y40
E. y-13
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
18. Simplify the following: (x5)4
A. x9
B. x20
C. x
D. x-1
E. x0
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
19. Simplify the following: (2x3)5
A. 10x15
B. 32x8
C. 32x15
D. 2x15
E. 2x8
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
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Canada 3rd Edition Jerome
20. Simplify the following:
A. x-1
B. x6
C. x-2
D. x7
E. x2
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
21. Simplify the following:
A. a0
B. a
C. a-11
D. a-5
E. a-12
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
22. Simplify the following:
A. 16a10b5
B. 2a10b5
C. 16a3b3
D. 2a5b5
E. 16a5b3
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
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Canada 3rd Edition Jerome
23. Simplify the following:
A.
B.
C.
D.
E.
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
24. Simplify: 8 - (2x + 4y - 3) - (4y + 10)
A. -8y - 2x + 21
B. -8y - 2x + 1
C. -8y - 2x - 2
D. -2x + 1
E. -2x + 21
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
25. (5x - 2y)(x - 2y) =
A. 5x2 - 12xy - 4y2
B. 5x2 + 8xy - 4y2
C. 5x2 - 12xy + 4y2
D. 5x2 - 8xy + 4y2
E. 5x2 + 12xy + 4y2
Accessibility: Keyboard Navigation
Difficulty: Moderate
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
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Canada 3rd Edition Jerome
26. Simplify and collect like terms:
A. -0.7x2 - .4x + 1.15
B. 0.7x2 - .4x + 1.15
C. -0.7x2 - .4x + .35
D. 0.7x2 - .4x + .35
E. -0.7x2 + .8x + 1.15
Difficulty: Moderate
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
27. Simplify and collect like terms:
A. 3.076P
B. 3.018P
C. 2.787P
D. 3.532P
E. 2.956P
Difficulty: Moderate
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
28. Simplify and collect like terms:
A. 2.957x
B. 2.208x
C. 3.057x
D. 2.068x
E. 1.983x
Difficulty: Difficult
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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29. Evaluate: -4(r - t) - (2r - 4t) for r = 1/2 and t = 1/4.
A. 1
B. 5
C. 3
D. -5
E. -1
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
30. Evaluate the following expression: 3x + 4y -6xy, for x = 2, y = -3
A. 30
B. -42
C. 54
D. -18
E. 24
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
31. Evaluate the following expression: P(1 + rt), for P = $1575, r = .055,
A. $39.87
B. $1614.87
C. $1973.71
D. $16,128
E. $724.96
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
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Canada 3rd Edition Jerome
Chapter 02
Review and Applications of Algebra
Multiple Choice Questions
1. Evaluate: L(1 - d1)(1 - d2) for L = $1000, d1 = 0.30, and d2 = 0.20.
A. $440.00
B. $500.00
C. $1785.71
D. $560.00
E. $600.00
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
2. Simplify and collect like terms: -a + (2b - c) - (a -b +c)
A. -2a + 3b - 2c
B. -2a + b - 2c
C. 3b - 2c
D. -2a + 3b
E. -2a + 2b - 2c
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
3. Simplify and collect like terms: 1 - (3x - xy + y) - (-x + y - 5xy)
A. 1 - 2x - 2y - 6xy
B. 1 - 2x - 2y + 6xy
C. 1 - 4x - 2y + 6xy
D. 1 - 2x - 2y + 4xy
E. 1 - 4x - 2y - 6xy
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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,DOWNLOAD THE Test Bank for Fundamentals of Business Mathematics in
Canada 3rd Edition Jerome
4. 2(b - 2) - (b - 2) =
A. b + 6
B. 3b - 2
C. 3b + 2
D. b - 2
E. b - 6
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
5. Simplify and collect like terms: 3(x - 2y)(2x + y)
A. 6x2 - 6xy - 6y2
B. 6x2 + 10xy - 6y2
C. 6x2 - 9xy - 6y2
D. 6x2 - 9xy + 6y2
E. 6x2 + 10xy + 6y2
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
6. Simplify and collect like terms: 9x - [4y - 3(x - y)]
A. 12 x + 7y
B. 6x - 7y
C. 6x + 7y
D. 12x - 7y
E. 9x - 7y
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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,DOWNLOAD THE Test Bank for Fundamentals of Business Mathematics in
Canada 3rd Edition Jerome
7. Simplify and collect like terms:
A. 4x + 2y
B. 4xy - 2y
C. 4xy + 2y2
D. 4x - 2y
E. 4xy - 2y2
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
8. Simplify and collect like terms:
A. 2y2 - 3x2y + 5y3
B. 2xy - 3x2y + 5y3
C. 2y - 3x2y + 5y
D. 2y - 3x2 + 5y
E. 2y - 3x2y + 5y3
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
9. The following algebraic expression , can be classified as:
A. monomial
B. binomial
C. trinomial
D. multinomial
E. All choices are incorrect
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-02 Definitions
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Canada 3rd Edition Jerome
10. The following numerical coefficient(s) of , is/are:
A. -4,2
B. 3,4
C. 2
D. 3,-4,2
E. 3,-4
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-02 Definitions
11. The following algebraic expression can be classified as:
A. monomial
B. binomial
C. trinomial
D. multinomial
E. All choices are incorrect
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-02 Definitions
12. Simplify and collect like terms:
4x + 5 - 2.1(x - 7)
8
A. -1.6x - 14.075
B. -1.6x - 15.325
C. 2.6x + 15.325
D. 2.6x - 14.075
E. -1.6x + 15.325
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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Canada 3rd Edition Jerome
13. Simplify:
A. -2a + 13
B. -2a - 1
C. -2a + 7
D. 2a + 7
E. 2a - 1
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
14. Simplify the following: a2 x a6 x a
A. a8
B. a7
C. a9
D. a12
E. a13
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
15. Simplify the following: (a2) (a-6) (a3)
A. a11
B. a
C. a-36
D. a-1
E. a-5
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
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Canada 3rd Edition Jerome
16. Simplify the following: b b
8 2
A. b4
B. b10
C. b16
D. b-6
E. b6
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
17. Simplify the following: y8 y5
A. y13
B. y3
C. y-40
D. y40
E. y-13
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
18. Simplify the following: (x5)4
A. x9
B. x20
C. x
D. x-1
E. x0
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
19. Simplify the following: (2x3)5
A. 10x15
B. 32x8
C. 32x15
D. 2x15
E. 2x8
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
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Canada 3rd Edition Jerome
20. Simplify the following:
A. x-1
B. x6
C. x-2
D. x7
E. x2
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
21. Simplify the following:
A. a0
B. a
C. a-11
D. a-5
E. a-12
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
22. Simplify the following:
A. 16a10b5
B. 2a10b5
C. 16a3b3
D. 2a5b5
E. 16a5b3
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
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Canada 3rd Edition Jerome
23. Simplify the following:
A.
B.
C.
D.
E.
Difficulty: Easy
Learning Objective: 02-02 Rearrange a formula or equation to isolate a particular variable
Topic: 02-07 Rules and Properties of Exponents
24. Simplify: 8 - (2x + 4y - 3) - (4y + 10)
A. -8y - 2x + 21
B. -8y - 2x + 1
C. -8y - 2x - 2
D. -2x + 1
E. -2x + 21
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
25. (5x - 2y)(x - 2y) =
A. 5x2 - 12xy - 4y2
B. 5x2 + 8xy - 4y2
C. 5x2 - 12xy + 4y2
D. 5x2 - 8xy + 4y2
E. 5x2 + 12xy + 4y2
Accessibility: Keyboard Navigation
Difficulty: Moderate
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-04 Multiplication and Division
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Canada 3rd Edition Jerome
26. Simplify and collect like terms:
A. -0.7x2 - .4x + 1.15
B. 0.7x2 - .4x + 1.15
C. -0.7x2 - .4x + .35
D. 0.7x2 - .4x + .35
E. -0.7x2 + .8x + 1.15
Difficulty: Moderate
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
27. Simplify and collect like terms:
A. 3.076P
B. 3.018P
C. 2.787P
D. 3.532P
E. 2.956P
Difficulty: Moderate
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
28. Simplify and collect like terms:
A. 2.957x
B. 2.208x
C. 3.057x
D. 2.068x
E. 1.983x
Difficulty: Difficult
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-03 Addition and Subtraction
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Canada 3rd Edition Jerome
29. Evaluate: -4(r - t) - (2r - 4t) for r = 1/2 and t = 1/4.
A. 1
B. 5
C. 3
D. -5
E. -1
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
30. Evaluate the following expression: 3x + 4y -6xy, for x = 2, y = -3
A. 30
B. -42
C. 54
D. -18
E. 24
Accessibility: Keyboard Navigation
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
31. Evaluate the following expression: P(1 + rt), for P = $1575, r = .055,
A. $39.87
B. $1614.87
C. $1973.71
D. $16,128
E. $724.96
Difficulty: Easy
Learning Objective: 02-01 Simplify algebraic expressions by extracting common factors and applying rules of exponents
Topic: 02-05 Substitution
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