Question 1

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 8 } { 11 } + \frac { 3 } { 11 }$

Accepted Answer

A)  $\frac { 11 } { 22 }$ 
B)  $\frac { 11 } { 11 }$ 
C)  1 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 11 } { 22 }$ 
B)  $\frac { 11 } { 11 }$ 
C)  1 
D)  $\frac { 1 } { 2 }$

Question 2

Insert  
 , or = to make the statement true.
-$| - 7 |$ ____$- 1 - ( - 8 )$

Accepted Answer

A) > B) < C) = A) > B) < C) =

Question 3

Multiply.
-$( - 4 ) ( - 3 ) ( 3 )$

Accepted Answer

A)  $- 36$ 
B)  26 
C)  36 
D)  136 
A)  $- 36$ 
B)  26 
C)  36 
D)  136

Question 4

Solve.
-The temperature at 5:00 was $- 6 ^ { \circ } \mathrm { C }$. Four hours later, it was $- 10 ^ { \circ } \mathrm { C }$. What was the change in temperature?

Accepted Answer

A)  $16 ^ { \circ } \mathrm { C }$ 
B)  $- 16 ^ { \circ } \mathrm { C }$ 
C)  $- 4 ^ { \circ } \mathrm { C }$ 
D)  $4 ^ { \circ } \mathrm { C }$ 
A)  $16 ^ { \circ } \mathrm { C }$ 
B)  $- 16 ^ { \circ } \mathrm { C }$ 
C)  $- 4 ^ { \circ } \mathrm { C }$ 
D)  $4 ^ { \circ } \mathrm { C }$

Question 5

Simplify the expression.
-$( 24 + 30 ) \cdot ( 28 - 17 )$

Accepted Answer

A)  65 
B)  1495 
C)  $4.91$ 
D)  594 
A)  65 
B)  1495 
C)  $4.91$ 
D)  594

Question 6

Evaluate the expression for the given replacement values.
-$\frac { y + z - 3 } { x } \quad x = 5 , y = - 9 , z = 17$

Accepted Answer

A)  $- 1$ 
B)  $- \frac { 14 } { 5 }$ 
C)  $\frac { 14 } { 5 }$ 
D)  1 
A)  $- 1$ 
B)  $- \frac { 14 } { 5 }$ 
C)  $\frac { 14 } { 5 }$ 
D)  1

Question 7

Simplify the expression.
-$\frac { 173 + 7 } { 3 ^ { 2 } - 4 }$

Accepted Answer

A)  34 
B)  36 
C)  90 
D)  54 
A)  34 
B)  36 
C)  90 
D)  54

Question 8

Translate the statement into symbols.
-The absolute value of negative seven is greater than six.

Accepted Answer

A)  $- | 7 | > 6$ 
B)  $| - 7 | > 6$ 
C)  $| 7 | > 6$ 
D)  $| - 6 | > 7$ 
A)  $- | 7 | > 6$ 
B)  $| - 7 | > 6$ 
C)  $| 7 | > 6$ 
D)  $| - 6 | > 7$

Question 9

$\frac { 1 } { 4 }$ is an integer.

Accepted Answer

A) True 
 B)False

Question 10

Multiply.
-$- 1.9 ( - 17 )$

Accepted Answer

A)  $- 18.9$ 
B)  $- 15.1$ 
C)  $18.9$ 
D)  $32.3$ 
A)  $- 18.9$ 
B)  $- 15.1$ 
C)  $18.9$ 
D)  $32.3$

Question 11

Divide.
-$\frac { 5 } { 8 } \div \left( - \frac { 5 } { 7 } \right)$

Accepted Answer

A)  $\frac { 8 } { 7 }$ 
B)  $- \frac { 25 } { 56 }$ 
C)  $- \frac { 7 } { 8 }$ 
D)  $\frac { 7 } { 8 }$ 
A)  $\frac { 8 } { 7 }$ 
B)  $- \frac { 25 } { 56 }$ 
C)  $- \frac { 7 } { 8 }$ 
D)  $\frac { 7 } { 8 }$

Question 12

Simplify the expression. (Remember the order of operations.)
-$[ 9 - ( - 17 ) ] - [ 15 + ( - 16 ) ]$

Accepted Answer

A)  23 
B)  27 
C)  $- 23$ 
D)  5 
A)  23 
B)  27 
C)  $- 23$ 
D)  5

Question 13

Evaluate the expression when x = 2, y = 1, and z = 4.
-$\frac { y } { 3 x }$

Accepted Answer

A)  6 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { y } { 6 }$ 
D)  $\frac { 1 } { 6 }$ 
A)  6 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { y } { 6 }$ 
D)  $\frac { 1 } { 6 }$

Question 14

0 is a natural number.

Accepted Answer

A) True 
 B)False

Question 15

Subtract.
-$- 7.2 - ( - 4.4 )$

Accepted Answer

A)  $- 2.8$ 
B)  $2.8$ 
C)  $11.6$ 
D)  $- 11.6$ 
A)  $- 2.8$ 
B)  $2.8$ 
C)  $11.6$ 
D)  $- 11.6$

Question 16

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 5 } { 8 } - \frac { 8 } { 11 } + \frac { 1 } { 2 }$

Accepted Answer

A)  $\frac { 35 } { 176 }$ 
B)  $\frac { 35 } { 88 }$ 
C)  $\frac { 163 } { 88 }$ 
D)  $\frac { 35 } { 44 }$ 
A)  $\frac { 35 } { 176 }$ 
B)  $\frac { 35 } { 88 }$ 
C)  $\frac { 163 } { 88 }$ 
D)  $\frac { 35 } { 44 }$

Question 17

Solve the problem.
-The temperature at a mountain resort was a frigid 8 degrees below zero in the morning, but by  noon it had risen 32 degrees. What was the temperature at noon?

Accepted Answer

A)  $40 ^ { \circ }$ 
B)  $24 ^ { \circ }$ 
C)  $- 24 ^ { \circ }$ 
D)  $- 40 ^ { \circ }$ 
A)  $40 ^ { \circ }$ 
B)  $24 ^ { \circ }$ 
C)  $- 24 ^ { \circ }$ 
D)  $- 40 ^ { \circ }$

Question 18

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational
numbers, and real numbers.
-0

Accepted Answer

A)  integer, real 
B)  whole, real 
C)  whole, integer, rational, real 
D)  rational, real 
A)  integer, real 
B)  whole, real 
C)  whole, integer, rational, real 
D)  rational, real

Question 19

Write the sentence as a mathematical statement.
-Negative fifty-two is less than negative thirteen.

Accepted Answer

A)  $- 52  - 13$ 
C)  $- 52 < 13$ 
D)  $- 52 \leq - 13$ 
A)  $- 52  - 13$ 
C)  $- 52 < 13$ 
D)  $- 52 \leq - 13$

Question 20

Insert  , or = to make the statement true.
-$- 200$___ $- 20$

Accepted Answer

A) $=$ B) $>$ C) $<$ A) $=$ B) $>$ C) $<$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 8 } { 11 } + \frac { 3 } { 11 }$

Insert , or = to make the statement true. - $| - 7 |$ ____ $- 1 - ( - 8 )$

Multiply. - $( - 4 ) ( - 3 ) ( 3 )$

Solve. -The temperature at 5:00 was $- 6 ^ { \circ } \mathrm { C }$ . Four hours later, it was $- 10 ^ { \circ } \mathrm { C }$ . What was the change in temperature?

Simplify the expression. - $( 24 + 30 ) \cdot ( 28 - 17 )$

Evaluate the expression for the given replacement values. - $\frac { y + z - 3 } { x } \quad x = 5 , y = - 9 , z = 17$

Simplify the expression. - $\frac { 173 + 7 } { 3 ^ { 2 } - 4 }$

Translate the statement into symbols. -The absolute value of negative seven is greater than six.

$\frac { 1 } { 4 }$ is an integer.

Multiply. - $- 1.9 ( - 17 )$

Divide. - $\frac { 5 } { 8 } \div \left( - \frac { 5 } { 7 } \right)$

Simplify the expression. (Remember the order of operations.) - $[ 9 - ( - 17 ) ] - [ 15 + ( - 16 ) ]$

Evaluate the expression when x = 2, y = 1, and z = 4. - $\frac { y } { 3 x }$

0 is a natural number.

Subtract. - $- 7.2 - ( - 4.4 )$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 5 } { 8 } - \frac { 8 } { 11 } + \frac { 1 } { 2 }$

Solve the problem. -The temperature at a mountain resort was a frigid 8 degrees below zero in the morning, but by noon it had risen 32 degrees. What was the temperature at noon?

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. -0

Write the sentence as a mathematical statement. -Negative fifty-two is less than negative thirteen.

Insert $< , >$ , or = to make the statement true. - $- 200$ ___ $- 20$

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Review of Real Numbers

Add or subtract as indicated. Write the answer in lowest terms. - 811+311\frac { 8 } { 11 } + \frac { 3 } { 11 }118​+113​

Insert , or = to make the statement true. - ∣−7∣| - 7 |∣−7∣ ____ −1−(−8)- 1 - ( - 8 )−1−(−8)

Multiply. - (−4)(−3)(3)( - 4 ) ( - 3 ) ( 3 )(−4)(−3)(3)

Solve. -The temperature at 5:00 was −6∘C- 6 ^ { \circ } \mathrm { C }−6∘C . Four hours later, it was −10∘C- 10 ^ { \circ } \mathrm { C }−10∘C . What was the change in temperature?

Simplify the expression. - (24+30)⋅(28−17)( 24 + 30 ) \cdot ( 28 - 17 )(24+30)⋅(28−17)

Evaluate the expression for the given replacement values. - y+z−3xx=5,y=−9,z=17\frac { y + z - 3 } { x } \quad x = 5 , y = - 9 , z = 17xy+z−3​x=5,y=−9,z=17

Simplify the expression. - 173+732−4\frac { 173 + 7 } { 3 ^ { 2 } - 4 }32−4173+7​

Translate the statement into symbols. -The absolute value of negative seven is greater than six.

14\frac { 1 } { 4 }41​ is an integer.

Multiply. - −1.9(−17)- 1.9 ( - 17 )−1.9(−17)

Divide. - 58÷(−57)\frac { 5 } { 8 } \div \left( - \frac { 5 } { 7 } \right)85​÷(−75​)

Simplify the expression. (Remember the order of operations.) - [9−(−17)]−[15+(−16)][ 9 - ( - 17 ) ] - [ 15 + ( - 16 ) ][9−(−17)]−[15+(−16)]

Evaluate the expression when x = 2, y = 1, and z = 4. - y3x\frac { y } { 3 x }3xy​

0 is a natural number.

Subtract. - −7.2−(−4.4)- 7.2 - ( - 4.4 )−7.2−(−4.4)

Add or subtract as indicated. Write the answer in lowest terms. - 58−811+12\frac { 5 } { 8 } - \frac { 8 } { 11 } + \frac { 1 } { 2 }85​−118​+21​

Solve the problem. -The temperature at a mountain resort was a frigid 8 degrees below zero in the morning, but by noon it had risen 32 degrees. What was the temperature at noon?

Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. -0

Write the sentence as a mathematical statement. -Negative fifty-two is less than negative thirteen.

Insert <,>< , ><,> , or = to make the statement true. - −200- 200−200 ___ −20- 20−20

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 8 } { 11 } + \frac { 3 } { 11 }$

Insert , or = to make the statement true. - $| - 7 |$ ____ $- 1 - ( - 8 )$

Multiply. - $( - 4 ) ( - 3 ) ( 3 )$

Solve. -The temperature at 5:00 was $- 6 ^ { \circ } \mathrm { C }$ . Four hours later, it was $- 10 ^ { \circ } \mathrm { C }$ . What was the change in temperature?

Simplify the expression. - $( 24 + 30 ) \cdot ( 28 - 17 )$

Evaluate the expression for the given replacement values. - $\frac { y + z - 3 } { x } \quad x = 5 , y = - 9 , z = 17$

Simplify the expression. - $\frac { 173 + 7 } { 3 ^ { 2 } - 4 }$

$\frac { 1 } { 4 }$ is an integer.

Multiply. - $- 1.9 ( - 17 )$

Divide. - $\frac { 5 } { 8 } \div \left( - \frac { 5 } { 7 } \right)$

Simplify the expression. (Remember the order of operations.) - $[ 9 - ( - 17 ) ] - [ 15 + ( - 16 ) ]$

Evaluate the expression when x = 2, y = 1, and z = 4. - $\frac { y } { 3 x }$

Subtract. - $- 7.2 - ( - 4.4 )$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 5 } { 8 } - \frac { 8 } { 11 } + \frac { 1 } { 2 }$

Insert $< , >$ , or = to make the statement true. - $- 200$ ___ $- 20$