Question 1

Simplify the expression. (Remember the order of operations.)
-$( 2 - 1 ) ( 2 + 3 ) - 8 ^ { 4 }$

Accepted Answer

A)  4101 
B)  5 
C)  4096 
D)  $- 4091$ 
A)  4101 
B)  5 
C)  4096 
D)  $- 4091$

Question 2

Insert  , or = to make the statement true.
-6 ________6

Accepted Answer

A)   
C)  $=$ 
A)   
C)  $=$

Question 3

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 2 } { 9 } + \frac { 2 } { 3 } - \frac { 1 } { 6 }$

Accepted Answer

A)  $\frac { 13 } { 18 }$ 
B)  $\frac { 19 } { 18 }$ 
C)  $\frac { 19 } { 9 }$ 
D)  $\frac { 13 } { 9 }$ 
A)  $\frac { 13 } { 18 }$ 
B)  $\frac { 19 } { 18 }$ 
C)  $\frac { 19 } { 9 }$ 
D)  $\frac { 13 } { 9 }$

Question 4

Simplify the expression. (Remember the order of operations.)
-$- 13 + 15 - ( - 9 ) + 1$

Accepted Answer

A)  $- 36$ 
B)  10 
C)  $- 6$ 
D)  12 
A)  $- 36$ 
B)  10 
C)  $- 6$ 
D)  12

Question 5

Multiply.
-$- \frac { 1 } { 12 } \left( - \frac { 7 } { 15 } \right)$

Accepted Answer

A)  $\frac { 14 } { 39 }$ 
B)  $- \frac { 1 } { 40 }$ 
C)  $\frac { 7 } { 180 }$ 
D)  $- \frac { 3 } { 13 }$ 
A)  $\frac { 14 } { 39 }$ 
B)  $- \frac { 1 } { 40 }$ 
C)  $\frac { 7 } { 180 }$ 
D)  $- \frac { 3 } { 13 }$

Question 6

Add.
-$- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]$

Accepted Answer

A)  $2.6$ 
B)  $3.2$ 
C)  $- 0.8$ 
D)  $- 0.4$ 
A)  $2.6$ 
B)  $3.2$ 
C)  $- 0.8$ 
D)  $- 0.4$

Question 7

Translate the statement into symbols.
-The sum of nine and two is greater than or equal to five.

Accepted Answer

A)  $9 + 2 = 5$ 
B)  $9 + 9 \leq 5$ 
C)  $9 + 2 \geq 5$ 
D)  $9 + 2 > 5$ 
A)  $9 + 2 = 5$ 
B)  $9 + 9 \leq 5$ 
C)  $9 + 2 \geq 5$ 
D)  $9 + 2 > 5$

Question 8

Simplify the expression.
-$\frac { 1 + 8 } { 10 + 6 }$

Accepted Answer

A)  $\frac { 9 } { 4 }$ 
B)  $\frac { 9 } { 16 }$ 
C)  $- \frac { 7 } { 4 }$ 
D)  $- \frac { 7 } { 16 }$ 
A)  $\frac { 9 } { 4 }$ 
B)  $\frac { 9 } { 16 }$ 
C)  $- \frac { 7 } { 4 }$ 
D)  $- \frac { 7 } { 16 }$

Question 9

Find the unknown complementary or supplementary angle.
-

Accepted Answer

A)  $50 ^ { \circ }$ 
B)  $65 ^ { \circ }$ 
C)  $55 ^ { \circ }$ 
D)  $45 ^ { \circ }$ 
A)  $50 ^ { \circ }$ 
B)  $65 ^ { \circ }$ 
C)  $55 ^ { \circ }$ 
D)  $45 ^ { \circ }$

Question 10

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$\frac { 1 } { 4 } ( 12 x - 8 )$

Accepted Answer

A)  $x$ 
B)  $3 x - 2$ 
C)  $48 x - 32$ 
D)  $3 x - 8$ 
A)  $x$ 
B)  $3 x - 2$ 
C)  $48 x - 32$ 
D)  $3 x - 8$

Question 11

Add.
-$34 + ( - 54 ) | + | - 60 \mid$

Accepted Answer

A)  80 
B)  $- 108$ 
C)  108 
D)  50 
A)  80 
B)  $- 108$ 
C)  108 
D)  50

Question 12

Name the property illustrated by the statement.
-$( 6 + 9 ) + 6 = ( 9 + 6 ) + 6$

Accepted Answer

A)  commutative property of addition 
B)  additive inverse property 
C)  associative property of addition 
D)  distributive property 
A)  commutative property of addition 
B)  additive inverse property 
C)  associative property of addition 
D)  distributive property

Question 13

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is
not 0.
-Expression: 8x  Opposite:---- Reciprocal:-----

Accepted Answer

A)  Opposite: $\frac { 1 } { 8 x }$
Reciprocal: $- 8 \mathrm { x }$ 
B)  Opposite: $- 8 x$
Reciprocal: $- \frac { 1 } { 8 x }$ 
C)  Opposite: $- 8 x$
Reciprocal: $\frac { 1 } { 8 x }$ 
D)  Opposite: $- \frac { 1 } { 8 x }$
Reciprocal: $- 8 x$ 
A)  Opposite: $\frac { 1 } { 8 x }$
Reciprocal: $- 8 \mathrm { x }$ 
B)  Opposite: $- 8 x$
Reciprocal: $- \frac { 1 } { 8 x }$ 
C)  Opposite: $- 8 x$
Reciprocal: $\frac { 1 } { 8 x }$ 
D)  Opposite: $- \frac { 1 } { 8 x }$
Reciprocal: $- 8 x$

Question 14

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$5 ( x - 7 )$

Accepted Answer

A)  $5 x + 35$ 
B)  $5 x - 7$ 
C)  $5 x - 35$ 
D)  $5 x - 12$ 
A)  $5 x + 35$ 
B)  $5 x - 7$ 
C)  $5 x - 35$ 
D)  $5 x - 12$

Question 15

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

Accepted Answer

A)  $\frac { 54 } { 5 }$ 
B)  2 
C)  10 
D)  $\frac { 6 } { 5 }$ 
A)  $\frac { 54 } { 5 }$ 
B)  2 
C)  10 
D)  $\frac { 6 } { 5 }$

Question 16

Insert , or = to make the statement true.
-$| - 3 | \quad | - 19 |$

Accepted Answer

A)   
A)

Question 17

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 4 } { 9 } + \frac { 4 } { 9 }$

Accepted Answer

A)  $\frac { 7 } { 9 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 8 } { 9 }$ 
D)  $\frac { 7 } { 8 }$ 
A)  $\frac { 7 } { 9 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 8 } { 9 }$ 
D)  $\frac { 7 } { 8 }$

Question 18

Every rational number is an integer.

Accepted Answer

A) True 
 B)False

Question 19

Add or subtract as indicated. Write the answer in lowest terms.
-$6 \frac { 1 } { 3 } + 14 \frac { 5 } { 8 }$

Accepted Answer

A)  $20 \frac { 23 } { 24 }$ 
B)  $21 \frac { 23 } { 24 }$ 
C)  $6 \frac { 23 } { 24 }$ 
D)  $19 \frac { 23 } { 24 }$ 
A)  $20 \frac { 23 } { 24 }$ 
B)  $21 \frac { 23 } { 24 }$ 
C)  $6 \frac { 23 } { 24 }$ 
D)  $19 \frac { 23 } { 24 }$

Question 20

Solve.
-On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 41 feet. They then rose 16 feet. What was their elevation at this point?

Accepted Answer

A)  $- 25 \mathrm { ft }$ 
B)  $25 \mathrm { ft }$ 
C)  $57 \mathrm { ft }$ 
D)  $- 57 \mathrm { ft }$ 
A)  $- 25 \mathrm { ft }$ 
B)  $25 \mathrm { ft }$ 
C)  $57 \mathrm { ft }$ 
D)  $- 57 \mathrm { ft }$

Simplify the expression. (Remember the order of operations.) - $( 2 - 1 ) ( 2 + 3 ) - 8 ^ { 4 }$

Insert $< , >$ , or = to make the statement true. -6 ________6

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 2 } { 9 } + \frac { 2 } { 3 } - \frac { 1 } { 6 }$

Simplify the expression. (Remember the order of operations.) - $- 13 + 15 - ( - 9 ) + 1$

Multiply. - $- \frac { 1 } { 12 } \left( - \frac { 7 } { 15 } \right)$

Add. - $- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]$

Translate the statement into symbols. -The sum of nine and two is greater than or equal to five.

Simplify the expression. - $\frac { 1 + 8 } { 10 + 6 }$

Find the unknown complementary or supplementary angle. -

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $\frac { 1 } { 4 } ( 12 x - 8 )$

Add. - $34 + ( - 54 ) | + | - 60 \mid$

Name the property illustrated by the statement. - $( 6 + 9 ) + 6 = ( 9 + 6 ) + 6$

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: 8x Opposite:---- Reciprocal:-----

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $5 ( x - 7 )$

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

Insert <, >, or = to make the statement true. - $| - 3 | \quad | - 19 |$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 4 } { 9 } + \frac { 4 } { 9 }$

Every rational number is an integer.

Add or subtract as indicated. Write the answer in lowest terms. - $6 \frac { 1 } { 3 } + 14 \frac { 5 } { 8 }$

Solve. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 41 feet. They then rose 16 feet. What was their elevation at this point?

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

Simplify the expression. (Remember the order of operations.) - (2−1)(2+3)−84( 2 - 1 ) ( 2 + 3 ) - 8 ^ { 4 }(2−1)(2+3)−84

Insert <,>< , ><,> , or = to make the statement true. -6 ________6

Add or subtract as indicated. Write the answer in lowest terms. - 29+23−16\frac { 2 } { 9 } + \frac { 2 } { 3 } - \frac { 1 } { 6 }92​+32​−61​

Simplify the expression. (Remember the order of operations.) - −13+15−(−9)+1- 13 + 15 - ( - 9 ) + 1−13+15−(−9)+1

Multiply. - −112(−715)- \frac { 1 } { 12 } \left( - \frac { 7 } { 15 } \right)−121​(−157​)

Add. - −1.7+[0.6+(−0.2)+0.5]- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]−1.7+[0.6+(−0.2)+0.5]

Translate the statement into symbols. -The sum of nine and two is greater than or equal to five.

Simplify the expression. - 1+810+6\frac { 1 + 8 } { 10 + 6 }10+61+8​

Find the unknown complementary or supplementary angle. -

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 14(12x−8)\frac { 1 } { 4 } ( 12 x - 8 )41​(12x−8)

Add. - 34+(−54)∣+∣−60∣34 + ( - 54 ) | + | - 60 \mid34+(−54)∣+∣−60∣

Name the property illustrated by the statement. - (6+9)+6=(9+6)+6( 6 + 9 ) + 6 = ( 9 + 6 ) + 6(6+9)+6=(9+6)+6

Find the opposite (additive inverse), and the reciprocal (multiplicative inverse). Assume that the value of an expression is not 0. -Expression: 8x Opposite:---- Reciprocal:-----

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 5(x−7)5 ( x - 7 )5(x−7)

Add or subtract as indicated. Write the answer in lowest terms. - 115−1\frac { 11 } { 5 } - 1511​−1

Insert <, >, or = to make the statement true. - ∣−3∣∣−19∣| - 3 | \quad | - 19 |∣−3∣∣−19∣

Add or subtract as indicated. Write the answer in lowest terms. - 49+49\frac { 4 } { 9 } + \frac { 4 } { 9 }94​+94​

Every rational number is an integer.

Add or subtract as indicated. Write the answer in lowest terms. - 613+14586 \frac { 1 } { 3 } + 14 \frac { 5 } { 8 }631​+1485​

Solve. -On part of a scenic tour of underground caves, Dave and Neil started at an elevation of - 41 feet. They then rose 16 feet. What was their elevation at this point?

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

Simplify the expression. (Remember the order of operations.) - $( 2 - 1 ) ( 2 + 3 ) - 8 ^ { 4 }$

Insert $< , >$ , or = to make the statement true. -6 ________6

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 2 } { 9 } + \frac { 2 } { 3 } - \frac { 1 } { 6 }$

Simplify the expression. (Remember the order of operations.) - $- 13 + 15 - ( - 9 ) + 1$

Multiply. - $- \frac { 1 } { 12 } \left( - \frac { 7 } { 15 } \right)$

Add. - $- 1.7 + [ 0.6 + ( - 0.2 ) + 0.5 ]$

Simplify the expression. - $\frac { 1 + 8 } { 10 + 6 }$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $\frac { 1 } { 4 } ( 12 x - 8 )$

Add. - $34 + ( - 54 ) | + | - 60 \mid$

Name the property illustrated by the statement. - $( 6 + 9 ) + 6 = ( 9 + 6 ) + 6$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $5 ( x - 7 )$

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

Insert <, >, or = to make the statement true. - $| - 3 | \quad | - 19 |$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 4 } { 9 } + \frac { 4 } { 9 }$

Add or subtract as indicated. Write the answer in lowest terms. - $6 \frac { 1 } { 3 } + 14 \frac { 5 } { 8 }$