Question 1

Determine the distance from each point to zero.

Accepted Answer

A) distance from 0 to a : 5 distance from 0 to b : 5 
B) distance from 0 to a : 3 distance from 0 to b : 3 
C) distance from 0 to a : 4 distance from 0 to b : 4 
D) distance from 0 to a : $9$ distance from 0 to b : $8$ 
E) distance from 0 to a : $8$ distance from 0 to b : $4$ 
A) distance from 0 to a : 5 distance from 0 to b : 5 
B) distance from 0 to a : 3 distance from 0 to b : 3 
C) distance from 0 to a : 4 distance from 0 to b : 4 
D) distance from 0 to a : $9$ distance from 0 to b : $8$ 
E) distance from 0 to a : $8$ distance from 0 to b : $4$ C

Question 2

The hourly wage for an employee is $ $12.00$ per hour. The employee also earns $90$ cents for each item they manufacture during the workday. If an employee works h hours and produces q items on a certain day, write an algebraic expression that represents the employee s salary (in dollars)for the day.

Accepted Answer

A)  $12.00 ( h + q ) + 90$ 
B)  $12.9 ( h q )$ 
C)  $12.00 h + 90 q$ 
D)  $12.9 ( h + q )$ 
E)  $12.00 h + 0.9 q$ 
A)  $12.00 ( h + q ) + 90$ 
B)  $12.9 ( h q )$ 
C)  $12.00 h + 90 q$ 
D)  $12.9 ( h + q )$ 
E)  $12.00 h + 0.9 q$ E

Question 3

Find the distance between -13 and -6 .

Accepted Answer

A)  19 
B)  9 
C)  6 
D)  7 
E)  8 
A)  19 
B)  9 
C)  6 
D)  7 
E)  8 D

Question 4

Evaluate $13 - 12 x ^ { 2 }$ at $x = \frac { 1 } { 2 }$ .

Accepted Answer

A)  7 
B)  15 
C)  10 
D)  -11 
E)  -20 
A)  7 
B)  15 
C)  10 
D)  -11 
E)  -20

Question 5

Find the difference 27-57 .

Accepted Answer

A) 30 
B) -40 
C) 40 
D) -30 
E) -35 
A) 30 
B) -40 
C) 40 
D) -30 
E) -35

Question 6

Write a simplified algebraic expression for the perimeter of the region.

Accepted Answer

A)  $4 x + 22$ 
B)  $2 x + 20$ 
C)  $4 x + 20$ 
D)  $3 x + 20$ 
E)  $20 x + 4$ 
A)  $4 x + 22$ 
B)  $2 x + 20$ 
C)  $4 x + 20$ 
D)  $3 x + 20$ 
E)  $20 x + 4$

Question 7

Identify the coefficients in $- 7 x + 5$ .

Accepted Answer

A)  $- 7,5$ 
B)  $- 7 , x , - 5$ 
C)  -7x 
D)  $x , 5$ 
E)  $- 7 x , 5$ 
A)  $- 7,5$ 
B)  $- 7 , x , - 5$ 
C)  -7x 
D)  $x , 5$ 
E)  $- 7 x , 5$

Question 8

Translate the phrase into an algebraic expression. The result of taking the absolute value of $4$ less than the product of $7$ and a number x

Accepted Answer

A)  $| 7 x - 4 |$ 
B)  $7 x - 4$ 
C)  $| 7 x | - 4$ 
D)  $| 7 - 4 x |$ 
E)  $4 - 7 x$ 
A)  $| 7 x - 4 |$ 
B)  $7 x - 4$ 
C)  $| 7 x | - 4$ 
D)  $| 7 - 4 x |$ 
E)  $4 - 7 x$

Question 9

What is the additive inverse of 26 ?

Accepted Answer

A)  0 
B)  26 
C)  13 
D)  -13 
E)  -26 
A)  0 
B)  26 
C)  13 
D)  -13 
E)  -26

Question 10

Find the sum 23+27 .

Accepted Answer

A) 51 
B) 50 
C) 52 
D) 53 
E) 49 
A) 51 
B) 50 
C) 52 
D) 53 
E) 49

Question 11

Evaluate the expression $- 4 + 7 - ( - 2 ) + 10$.

Accepted Answer

A) 1 
B) -5 
C) 23 
D) 15 
E) 11 
A) 1 
B) -5 
C) 23 
D) 15 
E) 11

Question 12

Rewrite $6 ( 2 \cdot 5 )$ using the Associative Property of Multiplication.

Accepted Answer

A)  $( 6 \cdot 2 ) \frac { 1 } { 5 }$ 
B)  $( 6 \cdot 2 )$ 
C)  $( - 6 \cdot 2 ) 5$ 
D)  $( 6 \cdot 2 ) 5$ 
E)  $\left( 6 \cdot \frac { 1 } { 2 } \right) 5$ 
A)  $( 6 \cdot 2 ) \frac { 1 } { 5 }$ 
B)  $( 6 \cdot 2 )$ 
C)  $( - 6 \cdot 2 ) 5$ 
D)  $( 6 \cdot 2 ) 5$ 
E)  $\left( 6 \cdot \frac { 1 } { 2 } \right) 5$

Question 13

Use the Distributive Property to simplify $x ( 5 x - 6 y )$ .

Accepted Answer

A)  $5 x ^ { 2 } - 6 x y ^ { 2 }$ 
B)  $10 x - 6 x y$ 
C)  $5 x ^ { 2 } - 6 y$ 
D)  $10 x - 6 y$ 
E)  $5 x ^ { 2 } - 6 x y$ 
A)  $5 x ^ { 2 } - 6 x y ^ { 2 }$ 
B)  $10 x - 6 x y$ 
C)  $5 x ^ { 2 } - 6 y$ 
D)  $10 x - 6 y$ 
E)  $5 x ^ { 2 } - 6 x y$

Question 14

Evaluate $\left| x ^ { 2 } - y \right|$ at x=2 , y=16 .

Accepted Answer

A)  12 
B)  102 
C)  36 
D)  $254$ 
E)  $252$ 
A)  12 
B)  102 
C)  36 
D)  $254$ 
E)  $252$

Question 15

The following figure shows the annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000, where $t = 4$ represents 1994. Use the figure to approximate the sales of sporting goods (in millions of dollars)in $1999$ .

Accepted Answer

A) $ $74,000$ 
B) $ $52,500$ 
C) $ $67,500$ 
D) $ $77,500$ 
E) $ $70,000$ 
A) $ $74,000$ 
B) $ $52,500$ 
C) $ $67,500$ 
D) $ $77,500$ 
E) $ $70,000$

Question 16

Evaluate $- | 3.75 |$.

Accepted Answer

A)   -0.75 
B)  0.75 
C)  3.75 
D) 0 
E)  -3.75 
A)   -0.75 
B)  0.75 
C)  3.75 
D) 0 
E)  -3.75

Question 17

A cash register contains $25$ dimes and x quarters. Write an algebraic expression that represents the total amount of money in the register (in dollars).

Accepted Answer

A)  $250 + 25 x$ 
B)  $250 + x$ 
C)  $2.5 + ( 0.25 ) x$ 
D)  $25 + x$ 
E)  $25 + ( 0.25 ) x$ 
A)  $250 + 25 x$ 
B)  $250 + x$ 
C)  $2.5 + ( 0.25 ) x$ 
D)  $25 + x$ 
E)  $25 + ( 0.25 ) x$

Question 18

The annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000 is given by $3711.8 t + 41,027$ , where $t = 4$ represents 1994. Use a calculator to compute the sales (in millions of dollars)for each year in the table. Round your answer to the nearest dollar.

Accepted Answer

A)  $ \begin{array}{llll}
\text { Year } & 1994 & 1995 & 1996\
\text { Sales } & \$ 55,874 & \$ 59,586 & \$ 63,298
\end{array} $ 
B)  $\begin{array} { l l l l } 
\text { Year } & 1994 & 1995 & 1996 \
\text { Sales } & \$ 55,874 & \$ 60,086 & \$ 63,298 
\end{array}$ 
C)  $\begin{array} { l l l l } 
\text { Year } & 1994 & 1995 & 1996 \
 \text { Sales } & \$ 55,874 & \$ 59,586 & \$ 63,798 
\end{array}$ 
D)  $\begin{array} { l l l l } 
\text { Year } & 1994 & 1995 & 1996 \
\text { Sales } & \$ 56,274 & \$ 59,586 & \$ 63,298 
\end{array}$ 
E)  $\begin{array} { l l l l } \text { Year } & 1994 & 1995 & 1996\
\text { Sales } & \$ 55,574 & \$ 59,586 & \$ 63,298 
 \end{array}$ 
A)  $ \begin{array}{llll}
\text { Year } & 1994 & 1995 & 1996\
\text { Sales } & \$ 55,874 & \$ 59,586 & \$ 63,298
\end{array} $ 
B)  $\begin{array} { l l l l } 
\text { Year } & 1994 & 1995 & 1996 \
\text { Sales } & \$ 55,874 & \$ 60,086 & \$ 63,298 
\end{array}$ 
C)  $\begin{array} { l l l l } 
\text { Year } & 1994 & 1995 & 1996 \
 \text { Sales } & \$ 55,874 & \$ 59,586 & \$ 63,798 
\end{array}$ 
D)  $\begin{array} { l l l l } 
\text { Year } & 1994 & 1995 & 1996 \
\text { Sales } & \$ 56,274 & \$ 59,586 & \$ 63,298 
\end{array}$ 
E)  $\begin{array} { l l l l } \text { Year } & 1994 & 1995 & 1996\
\text { Sales } & \$ 55,574 & \$ 59,586 & \$ 63,298 
 \end{array}$

Question 19

Plot 3 and its opposite on the real number line.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Write a verbal description of $8 - 3 x$ without using the variable.

Accepted Answer

A) the difference of $8$ and $3$ 
B) the quotient of $8$ and $3$ times a number 
C)  $8$ decreased by the product of $3$ and a number 
D)  $3$ minus $8$ times a number 
E)  $3$ times a number decreased by $8$ 
A) the difference of $8$ and $3$ 
B) the quotient of $8$ and $3$ times a number 
C)  $8$ decreased by the product of $3$ and a number 
D)  $3$ minus $8$ times a number 
E)  $3$ times a number decreased by $8$

Determine the distance from each point to zero.

Find the distance between -13 and -6 .

Evaluate $13 - 12 x ^ { 2 }$ at $x = \frac { 1 } { 2 }$ .

Find the difference 27-57 .

Write a simplified algebraic expression for the perimeter of the region.

Identify the coefficients in $- 7 x + 5$ .

Translate the phrase into an algebraic expression. The result of taking the absolute value of $4$ less than the product of $7$ and a number x

What is the additive inverse of 26 ?

Find the sum 23+27 .

Evaluate the expression $- 4 + 7 - ( - 2 ) + 10$ .

Rewrite $6 ( 2 \cdot 5 )$ using the Associative Property of Multiplication.

Use the Distributive Property to simplify $x ( 5 x - 6 y )$ .

Evaluate $\left| x ^ { 2 } - y \right|$ at x=2 , y=16 .

The following figure shows the annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000, where $t = 4$ represents 1994. Use the figure to approximate the sales of sporting goods (in millions of dollars)in $1999$ .

Evaluate $- | 3.75 |$ .

A cash register contains $25$ dimes and x quarters. Write an algebraic expression that represents the total amount of money in the register (in dollars).

The annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000 is given by $3711.8 t + 41,027$ , where $t = 4$ represents 1994. Use a calculator to compute the sales (in millions of dollars)for each year in the table. Round your answer to the nearest dollar.

Plot 3 and its opposite on the real number line.

Write a verbal description of $8 - 3 x$ without using the variable.

Linear Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 1: Fundamentals of Algebra

Determine the distance from each point to zero.

Find the distance between -13 and -6 .

Evaluate 13−12x213 - 12 x ^ { 2 }13−12x2 at x=12x = \frac { 1 } { 2 }x=21​ .

Find the difference 27-57 .

Write a simplified algebraic expression for the perimeter of the region.

Identify the coefficients in −7x+5- 7 x + 5−7x+5 .

Translate the phrase into an algebraic expression. The result of taking the absolute value of 444 less than the product of 777 and a number x

What is the additive inverse of 26 ?

Find the sum 23+27 .

Evaluate the expression −4+7−(−2)+10- 4 + 7 - ( - 2 ) + 10−4+7−(−2)+10 .

Rewrite 6(2⋅5)6 ( 2 \cdot 5 )6(2⋅5) using the Associative Property of Multiplication.

Use the Distributive Property to simplify x(5x−6y)x ( 5 x - 6 y )x(5x−6y) .

Evaluate ∣x2−y∣\left| x ^ { 2 } - y \right|​x2−y​ at x=2 , y=16 .

The following figure shows the annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000, where t=4t = 4t=4 represents 1994. Use the figure to approximate the sales of sporting goods (in millions of dollars)in 199919991999 .

Evaluate −∣3.75∣- | 3.75 |−∣3.75∣ .

A cash register contains 252525 dimes and x quarters. Write an algebraic expression that represents the total amount of money in the register (in dollars).

Plot 3 and its opposite on the real number line.

Write a verbal description of 8−3x8 - 3 x8−3x without using the variable.

Linear Equations and Inequalities

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Evaluate $13 - 12 x ^ { 2 }$ at $x = \frac { 1 } { 2 }$ .

Identify the coefficients in $- 7 x + 5$ .

Translate the phrase into an algebraic expression. The result of taking the absolute value of $4$ less than the product of $7$ and a number x

Evaluate the expression $- 4 + 7 - ( - 2 ) + 10$ .

Rewrite $6 ( 2 \cdot 5 )$ using the Associative Property of Multiplication.

Use the Distributive Property to simplify $x ( 5 x - 6 y )$ .

Evaluate $\left| x ^ { 2 } - y \right|$ at x=2 , y=16 .

The following figure shows the annual sales (in millions of dollars)of sporting goods in the United States from 1994 to 2000, where $t = 4$ represents 1994. Use the figure to approximate the sales of sporting goods (in millions of dollars)in $1999$ .

Evaluate $- | 3.75 |$ .

A cash register contains $25$ dimes and x quarters. Write an algebraic expression that represents the total amount of money in the register (in dollars).

Write a verbal description of $8 - 3 x$ without using the variable.