Test Bank Sequences, Series, And Probability Chapter.9 - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Test Bank Sequences, Series, And Probability Chapter.9

College Algebra, 5e (Young)

Chapter 9 Sequences, Series, and Probability

9.5 The Binomial Theorem

1) Evaluate the binomial coefficient (7 is over 3).

A) 35

B) 840

C) 3.5

D) 21

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

2) Evaluate the binomial coefficient (15 is over 5).

A) 10,897,286,400

B) 3003

C) 75

D) 600.6

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

3) Evaluate the binomial coefficient (16 is over 11).

A) 1092

B) 176

C) 4368

D) 48,048

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

4) Evaluate the binomial coefficient (43 is over 36).

A) 767,240.81

B) 1,160,068,104

C) 1548

D) 32,224,114

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

5) Evaluate the binomial coefficient (12 is over 9).

A) 79,833,600

B) 220

C) 108

D) 1980

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

6) Expand ((x - 5)) with superscript (5) using the binomial theorem.

A) (x) with superscript (5) - 25(x) with superscript (4) + 250(x) with superscript (3) - 1250(x) with superscript (2) + 3125x - 3125

B) (x) with superscript (5) + 25(x) with superscript (4) + 250(x) with superscript (3) + 1250(x) with superscript (2) + 3125x + 3125

C) (x) with superscript (5) - 25(x) with superscript (4) - 250(x) with superscript (3) - 1250(x) with superscript (2) - 3125x - 3125

D) -(x) with superscript ( 5) + 25(x) with superscript (4) - 250(x) with superscript (3) +- 1250(x) with superscript (2) - 3125x + 3125

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

7) Expand ((5x + 3)) with superscript (3) using the binomial theorem.

A) 27(x) with superscript (3) + 45(x) with superscript (2) + 75x + 125

B) 125(x) with superscript (3) + 75(x) with superscript (2) + 45x + 27

C) 27(x) with superscript (3) + 135(x) with superscript (2) + 225x + 125

D) 125(x) with superscript (3) + 225(x) with superscript (2) + 135x + 27

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

8) Expand (4x + (1/y)) with superscript (4) using the binomial theorem.

A) 256(x) with superscript (4) + 256((x) with superscript (3)y) + 96((x) with superscript (2)(y) with superscript (2)) + 16(x(y) with superscript (3)) + (y) with superscript (4)

B) 256(x) with superscript (4) + 256((x) with superscript (3)/y) + 96((x) with superscript (2)/(y) with superscript (2)) + 16(x/(y) with superscript (3)) + 1/(y) with superscript (4)

C) (x) with superscript (4) + 16((x) with superscript (3)/y) + 96(x2/y2) + 256(x/(y) with superscript (3)) + 16 /(y) with superscript (4)

D) 256(x) with superscript (4) + 64((x) with superscript (3)/y) + 16((x) with superscript (2)/(y) with superscript (2)) + 4(x/(y) with superscript (3)) + 1/(y) with superscript (4)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

9) Expand ((2x - y)) with superscript (4) using Pascal's Triangle.

A) -16(x) with superscript (4) + 32(x) with superscript (3)y - 24(x) with superscript (2)(y) with superscript (2) + 8x(y) with superscript (3) - (y) with superscript (4)

B) 16(x) with superscript (4) - 32(x) with superscript (3)y + 24(x) with superscript (2)(y) with superscript (2) - 8x(y) with superscript (3) + (y) with superscript (4)

C) 16(x) with superscript (4) + 32(x) with superscript (3)y + 24(x) with superscript (2)(y) with superscript (2) + 8x(y) with superscript (3) + (y) with superscript (4)

D) 16(x) with superscript (4) - 8(x) with superscript (3)y + 4(x) with superscript (2)(y) with superscript (2) - 2x(y) with superscript (3) + (y) with superscript (4)

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the Pascal's triangle.; Expand a binomial raised to a positive integer power.

10) Expand ((3x + 2y)) with superscript (3) using Pascal's Triangle.

A) 27(x) with superscript (3) + 12(x) with superscript (2)y + 18x(y) with superscript (2) + 8(y) with superscript (3)

B) 27(x) with superscript (3) + 18(x) with superscript (2)y + 12x(y) with superscript (2) + 8(y) with superscript (3)

C) 27(x) with superscript (3) + 54(x) with superscript (2)y + 36x(y) with superscript (2) + 8(y) with superscript (3)

D) 27(x) with superscript (3) + 36(x) with superscript (2)y + 54x(y) with superscript (2) + 8(y) with superscript (3)

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the Pascal's triangle.; Expand a binomial raised to a positive integer power.

11) Find the coefficient, C, of the term in the binomial expansion.

table ( (Binomial: ((x + 2)) with superscript (9) _Term: C(x) with superscript (6)) )

A) 8

B) 2016

C) 144

D) 672

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Find a particular term of a binomial expansion.

12) Find the coefficient, C, of the term in the binomial expansion.

table ( (Binomial: ((x - 4y)) with superscript (6) _Term: C(x) with superscript (3)(y) with superscript (3)) )

A) -1280

B) 1280

C) 64

D) -64

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Find a particular term of a binomial expansion.

13) Find the coefficient, C, of the term in the binomial expansion.

table ( (Coefficient: ((5x + 3y)) with superscript (8) _Term: C(x) with superscript (5)(y) with superscript (3)) )

A) 84,375

B) 3152

C) 30,375

D) 4,725,000

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Find a particular term of a binomial expansion.

14) Find the coefficient, C, of the term in the binomial expansion.

table ( (Binomial: ((3x - 3y)) with superscript (4) _Term: Cx(y) with superscript (3)) )

A) 324

B) -324

C) 81

D) -81

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Find a particular term of a binomial expansion.

15) Expand the binomial coefficient.

(38 is over 36)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

16) Expand ((4x + 3)) with superscript (4) using the binomial theorem.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

17) In a state lottery in which 5 numbers are drawn from a possible 40 numbers, the number of possible 5 number combinations is equal to:

(40 is over 5)

How many possible combinations are there?

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

18) Expand the expression using the binomial theorem.

(square root of (x) - 7) with superscript (6)

A) (x) with superscript (3) + 42(x) with superscript (5/2) + 735(x) with superscript (2) + 6860(x) with superscript (3/2) + 36,015x + 100,842(x) with superscript (1/2) + 117,649

B) (x) with superscript (3) - 42(x) with superscript (5/2) - 735(x) with superscript (2) - 6860(x) with superscript (3/2) + 36,015x - 100,842(x) with superscript (1/2) + 117,649

C) (x) with superscript (3) + 117,649

D) (x) with superscript (3) - 42(x) with superscript (5/2) + 735(x) with superscript (2) - 6860(x) with superscript (3/2) + 36,015x - 100,842(x) with superscript (1/2) + 117,649

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

19) Expand the expression using the binomial theorem.

((x) with superscript (1/4) + 2square root of (y)) with superscript (4)

A) x + 16(y) with superscript (2)

B) x + 8(x) with superscript (3/4)(y) with superscript (1/2) + 24(x) with superscript (1/2)y + 32(x) with superscript (1/4)(y) with superscript (3/2) + 16(y) with superscript (2)

C) x - 8(x) with superscript (3/4)(y) with superscript (1/2) + 24(x) with superscript (1/2)y - 32(x) with superscript (1/4)(y) with superscript (3/2) + 16(y) with superscript (2)

D) x + 8(x) with superscript (3/4)(y) with superscript (1/2) - 24(x) with superscript (1/2)y + 32(x) with superscript (1/4)(y) with superscript (3/2) - 16(y) with superscript (2)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

20) Evaluate the binomial coefficient (4 is over 2).

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

21) Evaluate the binomial coefficient (13 is over 3).

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

22) Evaluate the binomial coefficient (14 is over 9).

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

23) Evaluate the binomial coefficient (42 is over 35).

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

24) Evaluate the binomial coefficient (14 is over 11).

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

25) Expand ((x - 1)) with superscript (5) using the binomial theorem.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

26) Expand ((4x + 6)) with superscript (3) using the binomial theorem.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

27) Expand (3x + (1/y)) with superscript (4) using the binomial theorem.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

28) Expand ((3x - y)) with superscript (4) using Pascal's Triangle.

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

29) Expand ((5x + 3y)) with superscript (3) using Pascal's Triangle.

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Expand a binomial raised to a positive integer power.

30) Find the coefficient, C, of the term in the binomial expansion.

table ( (Binomial: ((x + 2)) with superscript (9) _Term: C(x) with superscript (6)) )

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

31) Find the coefficient, C, of the term in the binomial expansion.

table ( (Binomial: ((x - 3y)) with superscript (6) _Term: C(x) with superscript (3)(y) with superscript (3)) )

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

32) Find the coefficient, C, of the term in the binomial expansion.

table ( (Coefficient: ((2x + 4y)) with superscript (8) _Term: C(x) with superscript (5)(y) with superscript (3)) )

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

33) Find the coefficient, C, of the term in the binomial expansion.

table ( (Binomial: ((5x - 2y)) with superscript (4) _Term: Cx(y) with superscript (3)) )

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 05

Learning Objective: Evaluate a binomial coefficient with the binomial theorem.

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Document Type:
DOCX
Chapter Number:
9
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 9 Sequences, Series, And Probability
Author:
Cynthia Y. Young

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