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Section 1.1

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• The student wants to read a book of ##pages## pages. How many pages should he read per day to finish the book in a

week?

• ##inc1##
• ##inc2##
• ##a##
• ##inc3##

ANSWER: c

• Find the sixth term in the pattern.

...

• 60
• 15
• 14
• 16

ANSWER: d

• What is the missing number in the sequence below?

, , , ? , , ...

ANSWER:

• Use inductive reasoning to predict the most probable next number in the given list.

, ?

• 256
• 125
• 101
• 625
• 91

ANSWER: b

• Use inductive reasoning to predict the most probable next number in the given list.

, ?

• 9
• 0
• –11
• –17
• –4

ANSWER: e

• Use inductive reasoning to decide whether the conclusion for the following argument is correct. Pick any counting

(Discovering Mathematics, A Quantitative Reasoning Approach, 1e Richard N. Aufmann) (Test Bank all Chapters) 1 / 4

Section 1.1

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number. Multiply the number by 6. Subtract 3 from the product. Divide the difference by the sum of the original number and 7. The resulting number is 6.

• The conclusion is correct.
• The conclusion is incorrect.
• There is not enough information to determine the validity of the conclusion.

ANSWER: b

• Use the data in the table and inductive reasoning to answer the question.

Cube edge length Weight of water inside cube (water fills entire cube)

• cm
• cm
• cm
• cm
• g
• g

27 g 64 g

If a cube is filled with water and the weight of the water is 8 grams, what is the edge length of the cube?

• 3
• 4
• 2
• 1

ANSWER: c

• Use inductive reasoning to help complete the table. Round your answer to two decimal places, if necessary.

• 140, 162
• 135, 450
• 135, 162
• 140, 450

ANSWER: c

Number of sides of a regular polygon

4 5 6 7 8

20

Interior angle measure 90 108 120 128.57

• Which is a valid conclusion based on the following information? An equilateral triangle has three congruent sides.

Given: is equilateral.

a.has a measure between and .b.and are collinear.c.B is the midpoint of .d.has three congruent sides.

ANSWER: d

• Alisa reads in a geometry book that two intersecting lines will lie in the same plane. Which statement is correct about 2 / 4

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the conclusion Alisa can make?

• She can use deductive reasoning to conclude that if she draws two intersecting lines, the lines will not lie in

the same plane.

• She can use deductive reasoning to conclude that if she draws two intersecting lines, the lines will lie in the

same plane.

• She can use deductive reasoning to conclude that if she draws three intersecting lines, the lines will lie in the

same plane.

• She can use deductive reasoning to conclude that if she draws three intersecting lines, the lines will not lie in

the same plane.

ANSWER: b

• Use the pattern to make a conjecture. Then, use the conjecture to find the next product.

• The product of a number consisting of and 8 consists of , and . The next product is

.

• The product of a number consisting of n and 8 consists of , n and 2. The next product is .
• The product of a number consisting of and 8 consists of , n and . The next product is .

d.The product of a number consisting of n and 8 consists of , and . The next product is .

ANSWER: d

• Find a counterexample to show that is a false statement.
• choose
• choose
• choose

d.choose e.choose

ANSWER: d

• Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false?

For any real number , .

a., but b., but 3 / 4

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c., but d., but

ANSWER: d

• Find a counterexample to show that is a false statement.
• choose
• choose
• choose
• choose
• choose

ANSWER: e

• Use deductive reasoning to determine the number that will always be produced from the following procedure. Pick a

number. Add 10 to the number and multiply the sum by 5. Subtract 10 and then decrease this difference by 5 times the original number.

• Let n be the original number

(add 10) (multiply by 5) (substract 10) (decrease by 5 times original number) (final number)

• Let n be the original number

(add 10) (multiply by 5) (substract 10) (decrease by 5 times original number) (final number)

• Let n be the original number

(add 10) (multiply by 5) (substract 10) (decrease by 5 times original number) (final number)

• Let n be the original number
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