Systems Of Linear Equations And + Full Test Bank Ch.6 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Systems Of Linear Equations And + Full Test Bank Ch.6

College Algebra, 5e (Young)

Chapter 6 Systems of Linear Equations and Inequalities

6.3 Partial Fractions

1) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(12/(x - 2)(x - 5))

A) (A/(x) with superscript (2) - 7x + 10) + (B/(x) with superscript (2) - 7x + 10)

B) (A/x - 2) + (B/x - 5)

C) (A/x - 2) - (B/x + 5)

D) (A/(x) with superscript (2) - 7x + 10) - (B/(x) with superscript (2) - 7x - 10)

Diff: 1 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

2) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(3x + 11/(x) with superscript (2) + 4x - 45)

A) (A/(x) with superscript (2) + 4x - 45) + (B/(x) with superscript (2) + 4x - 45)

B) (A/(x) with superscript (2) + 4x + 45) - (B/(x) with superscript (2) + 4x - 45)

C) (A/x + 9) + (B/x - 5)

D) (A/x - 9) - (B/x - 5)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

3) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(3x + 2/(x) with superscript (2) + 14x + 48)

A) (A/x + 6) + (B/x + 8)

B) (A/(x) with superscript (2) + 14x - 48) + (B/(x) with superscript (2) + 14x + 48)

C) (A/(x) with superscript (2) + 14x + 48) - (B/(x) with superscript (2) + 14x + 48)

D) (A/x + 6) - (B/x - 8)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

4) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(5(x) with superscript (2) - x + 13/((x) with superscript (2) + 6) with superscript (2))

A) (A/(x) with superscript (4) + 12(x) with superscript (2) + 36) + (B/(x) with superscript (4) + 12(x) with superscript (2) + 36)

B) (Ax + B/((x) with superscript (2) + 6) with superscript (2))

C) (A/(x) with superscript (2) + 6) + (B/((x) with superscript (2) + 6) with superscript (2))

D) (Ax + B/(x) with superscript (2) + 6) + (Cx + D/((x) with superscript (2) + 6) with superscript (2))

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

5) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(20x + 7/(x) with superscript (3) + 3(x) with superscript (2))

A) (A/(x) with superscript (2)(x + 3)) + (B/(x) with superscript (2)(x + 3)) + (C/(x) with superscript (2)(x + 3))

B) (A/x) + (Bx + C/(x) with superscript (2)) + (D/x + 3)

C) (A/x) + (B/(x) with superscript (2)) + (C/x + 3)

D) (Ax + B/(x) with superscript (2)(x + 3)) + (Cx + D/(x) with superscript (2)(x + 3)) + (Ex + F/(x) with superscript (2)(x + 3))

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

6) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

((x) with superscript (2) + 4x + 5/(x) with superscript (4) - 25(x) with superscript (2))

A) (A/x) + (B/(x) with superscript (2)) + (C/x - 5) + (D/x + 5)

B) (A/x) + (B/(x) with superscript (2)) + (Cx + D/((x) with superscript (2) - 25) with superscript (2))

C) (A/x) + (Bx + C/(x) with superscript (2)) + (Dx + E/((x) with superscript (2) - 25) with superscript (2))

D) (A/x) + (Bx + C/(x) with superscript (2)) + (D/x - 5) + (E/x + 5)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

7) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(7x - 7/x((x) with superscript (2) + 49) with superscript (2))

A) (A/x) + (B/x + 7) + (C/x + 7) + (Dx + E/((x) with superscript (2) + 49) with superscript (2))

B) (A/x) + (Bx + C/(x) with superscript (2) + 7) + (Dx + E/((x) with superscript (2) + 49) with superscript (2))

C) (A/x) + (B/x + 7) + (C/x + 7)

D) (A/x) + (Bx + C/((x) with superscript (2) + 49) with superscript (2))

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

8) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(5(x) with superscript (2) - 3x - 4/x(x) with superscript (2) - 4)

A) (A/x) + (Bx + C/(x) with superscript (2) - 64)

B) (Ax + B/(x) with superscript (3) - 64x)

C) (A/(x) with superscript (3) - 64x) + (B/(x) with superscript (3) - 64x)

D) (A/x) + (B/x + 8) + (C/x - 8)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

9) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(7(x) with superscript (3) - 9x + 5/((x) with superscript (2) + 8) with superscript (2))

A) (A/(x) with superscript (2) + 8) + (B/((x) with superscript (2) + 8) with superscript (2))

B) (Ax + B/(x) with superscript (2) + 8) + (Cx + D/((x) with superscript (2) + 8) with superscript (2))

C) (A/(x) with superscript (2) + 8) + (Bx + C/((x) with superscript (2) + 8) with superscript (2))

D) (Ax + B/(x) with superscript (4) + 16(x) with superscript (2) + 64)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

10) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(-6/(x) with superscript (2) + 2x - 48)

A) (Ax + B/(x) with superscript (2) + 2x - 48)

B) (A/x + 8) - (B/x + 6)

C) (A/x + 8) + (B/x - 6)

D) (A/x + 8) + (Bx + C/x - 6)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

11) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

((x) with superscript (2) - 4x + 7/(x) with superscript (4) - 64(x) with superscript (2))

A) (A/x) + (Bx + C/(x) with superscript (2)) + (D/x - 8) + (E/x + 8)

B) (A/x) + (B/(x) with superscript (2)) + (Cx + D/(x) with superscript (2) - 64)

C) (A/x) + (Bx + C/(x) with superscript (2)) + (Dx - E/(x) with superscript (2) - 64)

D) (A/x) + (B/(x) with superscript (2)) + (D/x - 8) + (E/x + 8)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

12) Select the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(8(x) with superscript (4) - 3(x) with superscript (2) + 9/((x) with superscript (2) + 40) with superscript (2))

A) (Ax + B/(x) with superscript (2) + 40) + (Cx + D/((x) with superscript (2) + 40) with superscript (2))

B) (A/x + 8) + (B/x + 5) + (Cx + D/((x) with superscript (2) + 40) with superscript (2))

C) (A/x + 8) + (B/x + 5) + (C/((x) with superscript (2) + 40) with superscript (2))

D) (Ax/(x) with superscript (2) + 40) + (Bx + C/((x) with superscript (2) + 40) with superscript (2))

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

13) Write the partial fraction decomposition for the given rational expression.

(1/x(x + 13))

A) (1/x) - (1/x + 13)

B) (1/(x) with superscript (2) + 13x) - (1/x + 13)

C) ((1/13)/x) - ((1/13)/x + 13)

D) (- (1/13)/x) + ((1/13)/x + 13)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

14) Write the partial fraction decomposition for the given rational expression.

(12x/(x + 1)(x - 1))

A) (12/x + 1) + (12/x - 1)

B) (6/x + 1) + (6/x - 1)

C) (12/x + 1) - (12/x - 1)

D) (6/x + 1) - (6/x - 1)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

15) Write the partial fraction decomposition for the given rational expression.

(8x + 18/(x - 6)(x + 5))

A) (2/x - 6) + (6/x + 5)

B) (6x/x - 6) + (2/x + 5)

C) (6/x - 6) - (2/x + 5)

D) (6/x - 6) + (2/x + 5)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

16) Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(-4/(x + 8)(x + 16))

Diff: 1 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

17) Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(-3x + 5/x((x) with superscript (2) + 4) with superscript (2))

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

18) Write the partial fraction decomposition for the given rational expression.

(20x/(x - 6)(x + 6))

Diff: 1 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

19) Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

(11x - 12/x((x) with superscript (2) + 2) with superscript (2))

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

20) Write the partial fraction decomposition for the given rational expression.

(1/x(x + 2))

((1/2)/x) - ((1/2)/x + 2)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

21) Write the partial fraction decomposition for the given rational expression.

(3x + 8/(x) with superscript (2) + 8x)

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 03

Learning Objective: Decompose rational expressions into sums of partial fractions when the denominators contain: distinct linear factors, repeated linear factors, distinct irreducible quadratic factors, or repeated irreducible quadratic factors.

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Document Type:
DOCX
Chapter Number:
6
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 6 Systems Of Linear Equations And Inequalities
Author:
Cynthia Y. Young

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