Question 1

Compute or simplify as much as possible.
-$$6 x - ( 6 - 2 x )$$

Accepted Answer

A)  $4 x - 6$ 
B)  $4 x + 6$ 
C)  $8 x + 6$ 
D)  $8 x - 6$ 
A)  $4 x - 6$ 
B)  $4 x + 6$ 
C)  $8 x + 6$ 
D)  $8 x - 6$

Question 2

Write as an addition problem and find the sum.
-The temperature was 62 degrees in the morning, but it dropped 18 degrees in the afternoon and another 7 degrees in the evening. What was the temperature in the evening?

Accepted Answer

A) 62 + -18 + -7 = 51 degrees 
B) 62 + 18 + 7 = 37 degrees 
C) 62 + -18 + -7 = 37 degrees 
D) 62 + 18 + 7 = 51 degrees 
A) 62 + -18 + -7 = 51 degrees 
B) 62 + 18 + 7 = 37 degrees 
C) 62 + -18 + -7 = 37 degrees 
D) 62 + 18 + 7 = 51 degrees

Question 3

Find all integers x (if possible)that make the statement true.
--5x = 0

Accepted Answer

A) 1 
B) -1 
C) No solution is possible. 
D) 0 
A) 1 
B) -1 
C) No solution is possible. 
D) 0

Question 4

Compute.
-$- 2 ^ { 2 }$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  2 
D)  $- 8$ 
A)  4 
B)  $- 4$ 
C)  2 
D)  $- 8$

Question 5

Simplify.
-${ } ^ { -  } (-16 )$

Accepted Answer

A)  16 
B)  0 
C)  ${ } ^ { -  }16$ 
D)  ${ } ^ { -  } 1$ 
A)  16 
B)  0 
C)  ${ } ^ { -  }16$ 
D)  ${ } ^ { -  } 1$

Question 6

Find the quotient.
--36 ÷ 9

Accepted Answer

A) -4 
B) 9 
C) -9 
D) 4 
A) -4 
B) 9 
C) -9 
D) 4

Question 7

Find the quotient.
-63 ÷ -9

Accepted Answer

A) 7 
B) -9 
C) -7 
D) 9 
A) 7 
B) -9 
C) -7 
D) 9

Question 8

Find the additive inverse.
--22

Accepted Answer

A)  $\frac { 1 } { 22 }$ 
B)  $- 22$ 
C)  22 
D)  0 
A)  $\frac { 1 } { 22 }$ 
B)  $- 22$ 
C)  22 
D)  0

Question 9

Find the quotient.
--16 ÷ 2

Accepted Answer

A) 2 
B) -2 
C) 8 
D) -8 
A) 2 
B) -2 
C) 8 
D) -8

Question 10

Solve the problem.
-Each year, 647 people move from Babbittown. How many people have moved from the town in 10 years?

Accepted Answer

A) 6480 people 
B) 7117 people 
C) 6370 people 
D) 6470 people 
A) 6480 people 
B) 7117 people 
C) 6370 people 
D) 6470 people

Question 11

Classify the statement as true or false.
-$$| 19 - y | = | y - 19 |$$

Accepted Answer

A) True 
 B)False

Question 12

Find all integers x (if possible)that make the statement true.
-x ÷ (-2) = -28

Accepted Answer

A) -28 
B) 56 
C) -56 
D) 28 
A) -28 
B) 56 
C) -56 
D) 28

Question 13

Letting $W$ stand for the set of whole numbers, I the set of integers, $I ^ { + }$the set of positive integers, and $I ^ { - }$the set of negative integers, perform the indicated operation.
-Find W - I+

Accepted Answer

A) I- 
B)  $\varnothing$ 
C) I 
D) 0 
A) I- 
B)  $\varnothing$ 
C) I 
D) 0

Question 14

Letting $W$ stand for the set of whole numbers, I the set of integers, $I ^ { + }$the set of positive integers, and $I ^ { - }$the set of negative integers, perform the indicated operation.
-Find I $\cap \mathrm { I }$

Accepted Answer

A)  $\varnothing$ 
B)  $W$ 
C)  I 
D)  0 
A)  $\varnothing$ 
B)  $W$ 
C)  I 
D)  0

Question 15

Letting $W$ stand for the set of whole numbers, I the set of integers, $I ^ { + }$the set of positive integers, and $I ^ { - }$the set of negative integers, perform the indicated operation.
-Find $\mathrm { I } ^ { + } \cup \mathrm { I } ^ { - }$

Accepted Answer

A)  $\mathrm { I } ^ { + }$ 
B)  $W$ 
C)  $I - \{ 0 \}$ 
D)  I 
A)  $\mathrm { I } ^ { + }$ 
B)  $W$ 
C)  $I - \{ 0 \}$ 
D)  I

Question 16

Perform the indicated computation.
--18 + -17 - -4

Accepted Answer

A) -5 
B) 31 
C) 5 
D) -31 
A) -5 
B) 31 
C) 5 
D) -31

Question 17

Write as an addition problem and find the sum.
-Jane lost 5 pounds the first week and gained 2 pounds the second week. What was her net gain or loss?

Accepted Answer

A) 5 + -2 = 7 pounds 
B) 5 + -2 = -7 pounds 
C) -5 + 2 = -3 pounds 
D) -5 + 2 = 3 pounds 
A) 5 + -2 = 7 pounds 
B) 5 + -2 = -7 pounds 
C) -5 + 2 = -3 pounds 
D) -5 + 2 = 3 pounds

Question 18

Determine how many integers there are between the given integers (not including the given integers).
-x and y (if x < y)

Accepted Answer

A) y - x + 2 
B) y - x - 1 
C) y - x + 1 
D) y - x - 2 
A) y - x + 2 
B) y - x - 1 
C) y - x + 1 
D) y - x - 2

Question 19

Write as an addition problem and find the sum.
-Jack's checking account was overdrawn by $95. He deposited $44 into his account. What is the balance in his account?

Accepted Answer

A) -$95 + -$44 = -$139 
B) -$95 + $44 = -$51 
C) $95 + $44 = $139 
D) $95 + -$44 = -$51 
A) -$95 + -$44 = -$139 
B) -$95 + $44 = -$51 
C) $95 + $44 = $139 
D) $95 + -$44 = -$51

Question 20

For the arithmetic sequence, find the difference and write the next two terms.
-c + 2d, c + d, c, c - d

Accepted Answer

A) d = -d, next terms: c - 2d, c - 3d 
B) d = d, next terms: c - 3d, c - 4d 
C) d = d, next terms: c - 2d, c - 3d 
D) d = -d, next terms: c - 3d, c - 4d 
A) d = -d, next terms: c - 2d, c - 3d 
B) d = d, next terms: c - 3d, c - 4d 
C) d = d, next terms: c - 2d, c - 3d 
D) d = -d, next terms: c - 3d, c - 4d

Compute or simplify as much as possible. - $6 x - ( 6 - 2 x )$

Write as an addition problem and find the sum. -The temperature was 62 degrees in the morning, but it dropped 18 degrees in the afternoon and another 7 degrees in the evening. What was the temperature in the evening?

Find all integers x (if possible)that make the statement true. --5x = 0

Compute. - $- 2 ^ { 2 }$

Simplify. - ${ } ^ { - } (-16 )$

Find the quotient. --36 ÷ 9

Find the quotient. -63 ÷ -9

Find the additive inverse. --22

Find the quotient. --16 ÷ 2

Solve the problem. -Each year, 647 people move from Babbittown. How many people have moved from the town in 10 years?

Classify the statement as true or false. - $| 19 - y | = | y - 19 |$

Find all integers x (if possible)that make the statement true. -x ÷ (-2) = -28

Letting $W$ stand for the set of whole numbers, I the set of integers, $I ^ { + }$ the set of positive integers, and $I ^ { - }$ the set of negative integers, perform the indicated operation. -Find W - I+

Letting $W$ stand for the set of whole numbers, I the set of integers, $I ^ { + }$ the set of positive integers, and $I ^ { - }$ the set of negative integers, perform the indicated operation. -Find I $\cap \mathrm { I }$

Letting $W$ stand for the set of whole numbers, I the set of integers, $I ^ { + }$ the set of positive integers, and $I ^ { - }$ the set of negative integers, perform the indicated operation. -Find $\mathrm { I } ^ { + } \cup \mathrm { I } ^ { - }$

Perform the indicated computation. --18 + -17 - -4

Write as an addition problem and find the sum. -Jane lost 5 pounds the first week and gained 2 pounds the second week. What was her net gain or loss?

Determine how many integers there are between the given integers (not including the given integers). -x and y (if x < y)

Write as an addition problem and find the sum. -Jack's checking account was overdrawn by $95. He deposited $44 into his account. What is the balance in his account?

For the arithmetic sequence, find the difference and write the next two terms. -c + 2d, c + d, c, c - d

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 5: Integers

Compute or simplify as much as possible. - 6x−(6−2x)6 x - ( 6 - 2 x )6x−(6−2x)