Question 1

Add or subtract as indicated. Write the answer in lowest terms.
-$15 \frac { 2 } { 7 } - 7 \frac { 4 } { 7 }$

Accepted Answer

A)  $7 \frac { 5 } { 7 }$ 
B)  $22 \frac { 5 } { 7 }$ 
C)  $7 \frac { 4 } { 7 }$ 
D)  $21 \frac { 5 } { 7 }$ 
A)  $7 \frac { 5 } { 7 }$ 
B)  $22 \frac { 5 } { 7 }$ 
C)  $7 \frac { 4 } { 7 }$ 
D)  $21 \frac { 5 } { 7 }$

Question 2

Solve. Simplify the answer.
-Erika spent $\frac { 3 } { 4 }$ of an hour on her computer visiting the history channel and the discovery channel websites. She spent $\frac { 1 } { 3 }$ of an hour at the history channel website. How many hours did she spend at the discovery channel website?

Accepted Answer

A)  $\frac { 5 } { 12 } \mathrm { hr }$ 
B)  $\frac { 1 } { 6 } \mathrm { hr }$ 
C)  $\frac { 1 } { 3 } \mathrm { hr }$ 
D)  $\frac { 2 } { 3 } \mathrm { hr }$ 
A)  $\frac { 5 } { 12 } \mathrm { hr }$ 
B)  $\frac { 1 } { 6 } \mathrm { hr }$ 
C)  $\frac { 1 } { 3 } \mathrm { hr }$ 
D)  $\frac { 2 } { 3 } \mathrm { hr }$

Question 3

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$12 ( 6 z + 4 ) - 3$

Accepted Answer

A)  $72 z + 1$ 
B)  $72 z + 12$ 
C)  $18 z + 13$ 
D)  $72 z + 45$ 
A)  $72 z + 1$ 
B)  $72 z + 12$ 
C)  $18 z + 13$ 
D)  $72 z + 45$

Question 4

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$5 ( 9 x + 9 )$

Accepted Answer

A)  $90 \mathrm { x }$ 
B)  $14 x + 14$ 
C)  $45 x + 9$ 
D)  $45 x + 45$ 
A)  $90 \mathrm { x }$ 
B)  $14 x + 14$ 
C)  $45 x + 9$ 
D)  $45 x + 45$

Question 5

List the numbers in set B that belong to the indicated set.
-$B = \left\{ 13 , \sqrt { 5 } , - 20,0 , \frac { 0 } { 1 } , 2 \pi , \sqrt { 9 } \right\}$
Whole numbers

Accepted Answer

A)  $13 , - 20,0 , \sqrt { 9 } , 2 \pi$ 
B)  $13 , - 20,0$ 
C)  $13,0 , \frac { 0 } { 1 } , \sqrt { 9 }$ 
D)  13,0 
A)  $13 , - 20,0 , \sqrt { 9 } , 2 \pi$ 
B)  $13 , - 20,0$ 
C)  $13,0 , \frac { 0 } { 1 } , \sqrt { 9 }$ 
D)  13,0

Question 6

Use the distributive property to write the expression without parentheses. Then simplify, if necessary.
-$6 ( 3 x + 4 + y )$

Accepted Answer

A)  $18 x + 24 + 6 y$ 
B)  $18 x + 4 + y$ 
C)  $18 x + 4 + 6 y$ 
D)  $18 x + 24 + y$ 
A)  $18 x + 24 + 6 y$ 
B)  $18 x + 4 + y$ 
C)  $18 x + 4 + 6 y$ 
D)  $18 x + 24 + y$

Question 7

Subtract.
-$\frac { 5 } { 8 } - \frac { 3 } { 7 }$

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 28 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  $\frac { 11 } { 56 }$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 28 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  $\frac { 11 } { 56 }$

Question 8

Write the phrase as an algebraic expression. Let x represent the unknown number.
-Eight subtracted from a number

Accepted Answer

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

Question 9

Simplify the expression.
-$\frac { - 12 + 4 \cdot 6 } { 3 }$

Accepted Answer

A)  $- 4$ 
B)  12 
C)  $- 16$ 
D)  4 
A)  $- 4$ 
B)  12 
C)  $- 16$ 
D)  4

Question 10

Find the unknown complementary or supplementary angle.
-

Accepted Answer

A)  $141 ^ { \circ }$ 
B)  $121 ^ { \circ }$ 
C)  $126 ^ { \circ }$ 
D)  $131 ^ { \circ }$ 
A)  $141 ^ { \circ }$ 
B)  $121 ^ { \circ }$ 
C)  $126 ^ { \circ }$ 
D)  $131 ^ { \circ }$

Question 11

Use an integer to represent the value in the statement.
-$43 ^ { \circ }$ above zero

Accepted Answer

A)  43 
B)  $- 43$ 
A)  43 
B)  $- 43$

Question 12

$13 < - 3$

Accepted Answer

A) True 
 B)False

Question 13

Name the property illustrated by the statement.
-$22 + ( 13 + 14 ) = ( 22 + 13 ) + 14$

Accepted Answer

A)  distributive property 
B)  commutative property of addition 
C)  associative property of addition 
D)  identity element for addition 
A)  distributive property 
B)  commutative property of addition 
C)  associative property of addition 
D)  identity element for addition

Question 14

Add.
-$| 5 + ( - 10 ) |$

Accepted Answer

A)  $- 5$ 
B)  5 
C)  15 
D)  $- 50$ 
A)  $- 5$ 
B)  5 
C)  15 
D)  $- 50$

Question 15

Add or subtract as indicated. Write the answer in lowest terms.
-$\frac { 5 } { 27 } - \frac { 4 } { 45 }$

Accepted Answer

A)  $\frac { 13 } { 1215 }$ 
B)  $\frac { 1 } { 135 }$ 
C)  $\frac { 7 } { 45 }$ 
D)  $\frac { 13 } { 135 }$ 
A)  $\frac { 13 } { 1215 }$ 
B)  $\frac { 1 } { 135 }$ 
C)  $\frac { 7 } { 45 }$ 
D)  $\frac { 13 } { 135 }$

Question 16

Solve.
-Sean has $\$ 529$ in his savings account. After he withdraws $\$ 41$, what will his balance be?

Accepted Answer

A)  $- \$ 488$ 
B)  $\$ 488$ 
C)  $- \$ 570$ 
D)  $\$ 570$ 
A)  $- \$ 488$ 
B)  $\$ 488$ 
C)  $- \$ 570$ 
D)  $\$ 570$

Question 17

Evaluate the expression when x = 5, y = -2, and t = 8.
-$t - x$

Accepted Answer

A)  $- 3$ 
B)  $- 13$ 
C)  3 
D)  13 
A)  $- 3$ 
B)  $- 13$ 
C)  3 
D)  13

Question 18

Write the phrase as an algebraic expression. Let x represent the unknown number.
-The quotient of a number and 5

Accepted Answer

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

Question 19

The graph below shows the number of students enrolled in various courses at State University in spring 2000. Each bar
represents a different course, and the height of the bar represents the number of students enrolled. Use the graph to
answer the question.  
-For which courses was enrollment less than 75?

Accepted Answer

A)  Algebra and Philosophy 
B)  Art, Algebra, History, and Philosophy 
C)  Art and Philosophy 
D)  Art, Algebra, and Philosophy 
A)  Algebra and Philosophy 
B)  Art, Algebra, History, and Philosophy 
C)  Art and Philosophy 
D)  Art, Algebra, and Philosophy

Question 20

Insert , or = to make the statement true.
-| - 8 |____ | 1 |

Accepted Answer

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

Add or subtract as indicated. Write the answer in lowest terms. - $15 \frac { 2 } { 7 } - 7 \frac { 4 } { 7 }$

Solve. Simplify the answer. -Erika spent $\frac { 3 } { 4 }$ of an hour on her computer visiting the history channel and the discovery channel websites. She spent $\frac { 1 } { 3 }$ of an hour at the history channel website. How many hours did she spend at the discovery channel website?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $12 ( 6 z + 4 ) - 3$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $5 ( 9 x + 9 )$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 13 , \sqrt { 5 } , - 20,0 , \frac { 0 } { 1 } , 2 \pi , \sqrt { 9 } \right\}$ Whole numbers

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $6 ( 3 x + 4 + y )$

Subtract. - $\frac { 5 } { 8 } - \frac { 3 } { 7 }$

Write the phrase as an algebraic expression. Let x represent the unknown number. -Eight subtracted from a number

Simplify the expression. - $\frac { - 12 + 4 \cdot 6 } { 3 }$

Find the unknown complementary or supplementary angle. -

Use an integer to represent the value in the statement. - $43 ^ { \circ }$ above zero

$13 < - 3$

Name the property illustrated by the statement. - $22 + ( 13 + 14 ) = ( 22 + 13 ) + 14$

Add. - $| 5 + ( - 10 ) |$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 5 } { 27 } - \frac { 4 } { 45 }$

Solve. -Sean has $\$ 529$ in his savings account. After he withdraws $\$ 41$ , what will his balance be?

Evaluate the expression when x = 5, y = -2, and t = 8. - $t - x$

Write the phrase as an algebraic expression. Let x represent the unknown number. -The quotient of a number and 5

Insert <, >, or = to make the statement true. -| - 8 |____ | 1 |

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. - 1527−74715 \frac { 2 } { 7 } - 7 \frac { 4 } { 7 }1572​−774​

Solve. Simplify the answer. -Erika spent 34\frac { 3 } { 4 }43​ of an hour on her computer visiting the history channel and the discovery channel websites. She spent 13\frac { 1 } { 3 }31​ of an hour at the history channel website. How many hours did she spend at the discovery channel website?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 12(6z+4)−312 ( 6 z + 4 ) - 312(6z+4)−3

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 5(9x+9)5 ( 9 x + 9 )5(9x+9)

List the numbers in set B that belong to the indicated set. - B={13,5,−20,0,01,2π,9}B = \left\{ 13 , \sqrt { 5 } , - 20,0 , \frac { 0 } { 1 } , 2 \pi , \sqrt { 9 } \right\}B={13,5​,−20,0,10​,2π,9​} Whole numbers

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - 6(3x+4+y)6 ( 3 x + 4 + y )6(3x+4+y)

Subtract. - 58−37\frac { 5 } { 8 } - \frac { 3 } { 7 }85​−73​

Write the phrase as an algebraic expression. Let x represent the unknown number. -Eight subtracted from a number

Simplify the expression. - −12+4⋅63\frac { - 12 + 4 \cdot 6 } { 3 }3−12+4⋅6​

Find the unknown complementary or supplementary angle. -

Use an integer to represent the value in the statement. - 43∘43 ^ { \circ }43∘ above zero

13<−313 < - 313<−3

Name the property illustrated by the statement. - 22+(13+14)=(22+13)+1422 + ( 13 + 14 ) = ( 22 + 13 ) + 1422+(13+14)=(22+13)+14

Add. - ∣5+(−10)∣| 5 + ( - 10 ) |∣5+(−10)∣

Add or subtract as indicated. Write the answer in lowest terms. - 527−445\frac { 5 } { 27 } - \frac { 4 } { 45 }275​−454​

Solve. -Sean has $529\$ 529$529 in his savings account. After he withdraws $41\$ 41$41 , what will his balance be?

Evaluate the expression when x = 5, y = -2, and t = 8. - t−xt - xt−x

Write the phrase as an algebraic expression. Let x represent the unknown number. -The quotient of a number and 5

Insert <, >, or = to make the statement true. -| - 8 |____ | 1 |

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. - $15 \frac { 2 } { 7 } - 7 \frac { 4 } { 7 }$

Solve. Simplify the answer. -Erika spent $\frac { 3 } { 4 }$ of an hour on her computer visiting the history channel and the discovery channel websites. She spent $\frac { 1 } { 3 }$ of an hour at the history channel website. How many hours did she spend at the discovery channel website?

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $12 ( 6 z + 4 ) - 3$

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $5 ( 9 x + 9 )$

List the numbers in set B that belong to the indicated set. - $B = \left\{ 13 , \sqrt { 5 } , - 20,0 , \frac { 0 } { 1 } , 2 \pi , \sqrt { 9 } \right\}$ Whole numbers

Use the distributive property to write the expression without parentheses. Then simplify, if necessary. - $6 ( 3 x + 4 + y )$

Subtract. - $\frac { 5 } { 8 } - \frac { 3 } { 7 }$

Simplify the expression. - $\frac { - 12 + 4 \cdot 6 } { 3 }$

Use an integer to represent the value in the statement. - $43 ^ { \circ }$ above zero

$13 < - 3$

Name the property illustrated by the statement. - $22 + ( 13 + 14 ) = ( 22 + 13 ) + 14$

Add. - $| 5 + ( - 10 ) |$

Add or subtract as indicated. Write the answer in lowest terms. - $\frac { 5 } { 27 } - \frac { 4 } { 45 }$

Solve. -Sean has $\$ 529$ in his savings account. After he withdraws $\$ 41$ , what will his balance be?

Evaluate the expression when x = 5, y = -2, and t = 8. - $t - x$