Young Ch.1 Full Test Bank Equations And Inequalities - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

Young Ch.1 Full Test Bank Equations And Inequalities

College Algebra, 5e (Young)

Chapter 1 Equations and Inequalities

1.4 Other Types of Equations

1) Solve the radical equation.

square root of (x - 10) = 9

A) {19}

B) {71}

C) {10 + square root of (9)}

D) {91}

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

2) Solve the radical equation.

square root of (4x - 4) = 7

A) {11/4}

B) {(4 + square root of (7)/4)}

C) {53/4}

D) {45/4}

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

3) Solve the radical equation.

(4 - 5x) to the (3) root = -3

A) {31/5}

B) {-31/5}

C) {5/5}

D) {-5/5}

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

4) Solve the radical equation.

y = 10square root of (y)

A) {0}

B) {10}

C) {100}

D) {0, 100}

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

5) Solve the radical equation.

square root of (200- 20y) = y - 10

A) {10}

B) {10, -10}

C) {0}

D) {4.8}

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

6) Solve the radical equation.

x = 5square root of (2x - 25)

A) {25}

B) {-25, 25}

C) {-25}

D) {-5, 5}

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

7) Introduce a u - substitution that transforms the equation to quadratic form. Do not solve.

3(x) with superscript (4) - 9(x) with superscript (2) - 13 = 0

A) u = (x) with superscript (2)

B) u = x

C) u = (x) with superscript (4)

D) u = (x) with superscript (3)

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.; Solve equations that are quadratic in form.

8) Introduce a u - substitution that transforms the equation to quadratic form. Do not solve.

5(x) with superscript (-8) - 11(x) with superscript (-4) + 18 = 0

A) u = (x) with superscript (-8)

B) u = (x) with superscript (-4)

C) u = (x) with superscript (4)

D) u = (x) with superscript (8)

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.; Solve equations that are quadratic in form.

9) Introduce a u - substitution that transforms the equation to quadratic form. Do not solve.

5x + 16(x) with superscript (1/2) - 15 = 0

A) u = x

B) u = (x) with superscript (1/2)

C) u = (x) with superscript (1/4)

D) u = 1/x

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.; Solve equations that are quadratic in form.

10) Introduce a u - substitution that transforms the equation to quadratic form. Do not solve.

2 + (-8/(x + 17)) - (2/((x + 17)) with superscript (2)) = 0

A) u = (1/(x + 17))

B) u = (1/((x + 17)) with superscript (2))

C) u = x + 17

D) u = ((x + 17)) with superscript (2)

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

11) Introduce a u - substitution that transforms the equation to quadratic form. Do not solve.

-6(t) with superscript (2/3) - 16(t) with superscript (1/3) + 2 = 0

A) u = t

B) u = (t) with superscript (2/3)

C) u = (t) with superscript (1/3)

D) u = (t) with superscript (2)

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

12) Solve the equation by introducing a substitution.

1296(x) with superscript (4) - 72(x) with superscript (2) + 1 = 0

A) {-1/36, 1/36}

B) {1/36}

C) {-1/6, 1/6}

D) {1/6}

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

13) Solve the radical equation square root of (16 - 2y) = 8.

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

14) Solve the radical equation 8 = ((17 - p)) with superscript (1/2).

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

15) Solve the equation by introducing a substitution.

(x) with superscript (4) - 11(x) with superscript (2) + 30 = 0

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: FOIL; Solve equations that are factorable.; Solve equations that are quadratic in form.

16) Solve the radical equation for the given variable.

square root of (2x - 49) - square root of (x - 49) = 7

A) {49, 245}

B) {105}

C) {7}

D) No solution

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

17) Solve by factoring.

5(x) with superscript (3) - 6(x) with superscript (2) - 405x + 486 = 0

A) {9, -9, (6/5)}

B) {9, -9, - (6/5)}

C) {9, -9, - (6/5), (6/5)}

D) {9, (6/5)}

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.

18) The period (T) of a pendulum is related to the length (L) of the pendulum and acceleration due tot he gravity (g) by the formula T = 2πsquare root of ((L/g)). If the gravity is 9.8 (m/s) with superscript (2) and the period is 10 second, find the approximate length of the pendulum. Round to the nearest centimeter. (Note: 100 cm = 1 m)

A) 2482 cm

B) 241,805 cm

C) 635 cm

D) 1560 cm

Diff: 1 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve radical equations.

19) Solve (c) with superscript (3) (+ 2c) with superscript (2) - 3c = 0 for c.

A) {0, 1, -3}

B) {0, -1, 3}

C) {1, -3}

D) no solution

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.

20) Solve (x) with superscript (3) + (x) with superscript (2) - 100x - 100 = 0 for x.

A) {1,-10, 10}

B) {100, -100}

C) {-1, -10, 10}

D) {-100}

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.

21) Solve (a) with superscript (3) - 5(a) with superscript (2) - 6a = 0 for a.

Diff: 2 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are factorable.

22) Solve the equation by introducing a substitution.

2((x - 5)) with superscript (2) + 10(x - 5) + 12 = 0

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

23) Solve the equation by introducing a substitution.

((7/4x - 12)) with superscript (2) + ((7/4x - 12)) - 6 = 0

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

24) Solve the equation by introducing a substitution.

3(x) with superscript (2/7) + 21(x) with superscript (1/7) = -36

Diff: 3 Var: 1

Chapter/Section: Ch 01, Sec 04

Learning Objective: Solve equations that are quadratic in form.

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Document Information

Document Type:
DOCX
Chapter Number:
1
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 1 Equations And Inequalities
Author:
Cynthia Y. Young

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