Question 1

Write $( - 0.4 ) ^ { 6 }$ as a repeated multiplication problem.

Accepted Answer

A)  $( 0.4 ) ( 0.4 ) ( 0.4 ) ( 0.4 ) ( 0.4 ) ( 0.4 )$ 
B)  $6 ( - 0.4 )$ 
C)  $( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 )$ 
D)  $( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 )$ 
E)  $( - 2.4 ) ( - 2.4 ) ( - 2.4 ) ( - 2.4 ) ( - 2.4 ) ( - 2.4 )$ 
A)  $( 0.4 ) ( 0.4 ) ( 0.4 ) ( 0.4 ) ( 0.4 ) ( 0.4 )$ 
B)  $6 ( - 0.4 )$ 
C)  $( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 )$ 
D)  $( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 ) ( - 0.4 )$ 
E)  $( - 2.4 ) ( - 2.4 ) ( - 2.4 ) ( - 2.4 ) ( - 2.4 ) ( - 2.4 )$

Question 2

Write a simplified algebraic expression for the area of the rectangle.

Accepted Answer

A)  $4 w ^ { 2 }$ 
B)  $3 w$ 
C)  $3 w ^ { 2 }$ 
D)  $8 w ^ { 2 }$ 
E)  $3$ 
A)  $4 w ^ { 2 }$ 
B)  $3 w$ 
C)  $3 w ^ { 2 }$ 
D)  $8 w ^ { 2 }$ 
E)  $3$

Question 3

Find values for a and b such that the expression $a n + b$ yields the values in the table. $$\begin{array} { | c | c | c | c | c | c | } 
\hline n & 0 & 1 & 2 & 3 & 4 \
\hline a n + b & 4 & 10 & 16 & 22 & 28 \
\hline
\end{array}$$

Accepted Answer

A)  $\begin{array} { l } 
a = 4 \
b = 10
\end{array}$ 
B)  $\begin{array} { l } 
a = 28 \
b = 4
\end{array}$ 
C)  $\begin{array} { l } 
a = 6 \
b = 4
\end{array}$ 
D)  $\begin{array} { l } 
a = 10 \
b = 4
\end{array}$ 
E)  $\begin{array} { l } 
a = 4 \
b = 6
\end{array}$ 
A)  $\begin{array} { l } 
a = 4 \
b = 10
\end{array}$ 
B)  $\begin{array} { l } 
a = 28 \
b = 4
\end{array}$ 
C)  $\begin{array} { l } 
a = 6 \
b = 4
\end{array}$ 
D)  $\begin{array} { l } 
a = 10 \
b = 4
\end{array}$ 
E)  $\begin{array} { l } 
a = 4 \
b = 6
\end{array}$

Question 4

Write an algebraic expression for the statement that follows. The distance (in miles)traveled in t hours if the average speed is $35$ miles per hour

Accepted Answer

A)  $35 ^ { t }$ 
B)  $35 - t$ 
C)  $35 t$ 
D)  $35 + t$ 
E)  $\frac { 35 } { t }$ 
A)  $35 ^ { t }$ 
B)  $35 - t$ 
C)  $35 t$ 
D)  $35 + t$ 
E)  $\frac { 35 } { t }$

Question 5

Evaluate |2| .

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  -2 
E) 0 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  2 
D)  -2 
E) 0

Question 6

Divide the fractions $\left( - \frac { 10 } { 9 } \right) \div \left( - \frac { 8 } { 7 } \right)$ and write the result in simplest form.

Accepted Answer

A)  $\frac { 35 } { 36 }$ 
B)  1 
C)  -1 
D)  -$\frac { 35 } { 36 }$ 
E)  $- \frac { 143 } { 72 }$ 
A)  $\frac { 35 } { 36 }$ 
B)  1 
C)  -1 
D)  -$\frac { 35 } { 36 }$ 
E)  $- \frac { 143 } { 72 }$

Question 7

Identify the terms of the expression that follows. $-3 x y+2 x z-5 y z$

Accepted Answer

A)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
3 x y & 3 \
2 x z & 2 \
5 y z & 5
\end{array}$ 
B)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
 x y & -3 \
x z & 2 \
 y z & -5
\end{array}$ 
C)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
-3 x y & -3 \
2 x z & 2 \
5 y z & 5
\end{array}$ 
D)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
 x y & 3 \
 x z & 2 \
y z & 5
\end{array}$ 
E)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
-3 x y & -3 \
2 x z & 2 \
-5 y z & -5
\end{array}$ 
A)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
3 x y & 3 \
2 x z & 2 \
5 y z & 5
\end{array}$ 
B)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
 x y & -3 \
x z & 2 \
 y z & -5
\end{array}$ 
C)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
-3 x y & -3 \
2 x z & 2 \
5 y z & 5
\end{array}$ 
D)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
 x y & 3 \
 x z & 2 \
y z & 5
\end{array}$ 
E)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
-3 x y & -3 \
2 x z & 2 \
-5 y z & -5
\end{array}$

Question 8

Identify the terms of the expression $9 x ^ { 2 } - 5 x y + y ^ { 2 }$ and the corresponding coefficient of each term.

Accepted Answer

A)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
x ^ { 2 } & 9 \
x & - 5 \
y & - 5 \
y ^ { 2 } & 1
\end{array}$ 
B)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
x^{2} & 9 \
x y & -5 \
y^{2} & 1
\end{array}$ 
C)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
9 x^{2} & 9 \
5 x y & 5 \
y^{2} & 0
\end{array}$ 
D)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
9 x^{2} & 9 \
-5 x y & -5 \
y^{2} & 0
\end{array}$ 
E)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
9 x^{2} & 9 \
5 x y & 5 \
y^{2} & 1
\end{array}$ 
A)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
x ^ { 2 } & 9 \
x & - 5 \
y & - 5 \
y ^ { 2 } & 1
\end{array}$ 
B)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
x^{2} & 9 \
x y & -5 \
y^{2} & 1
\end{array}$ 
C)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
9 x^{2} & 9 \
5 x y & 5 \
y^{2} & 0
\end{array}$ 
D)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
9 x^{2} & 9 \
-5 x y & -5 \
y^{2} & 0
\end{array}$ 
E)  $\begin{array}{ c c } 
\text { Terms }&\text { Coefficient }\
9 x^{2} & 9 \
5 x y & 5 \
y^{2} & 1
\end{array}$

Question 9

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

Accepted Answer

A)  $2 x + 8$ 
B)  $2 x + 18$ 
C)  $4 x + 8$ 
D)  $4 x ^ { 2 } + 18$ 
E)  $4 x + 18$ 
A)  $2 x + 8$ 
B)  $2 x + 18$ 
C)  $4 x + 8$ 
D)  $4 x ^ { 2 } + 18$ 
E)  $4 x + 18$

Question 10

Use the Distributive Property to simplify the expression $\frac { 7 x } { 8 } - \frac { 5 x } { 8 }$ .

Accepted Answer

A)  $\frac { 3 x } { 4 }$ 
B)  $\frac { 3 x } { 2 }$ 
C)  $\frac { 2 x } { 9 }$ 
D)  $\frac { x } { 4 }$ 
E)  $\frac { x } { 8 }$ 
A)  $\frac { 3 x } { 4 }$ 
B)  $\frac { 3 x } { 2 }$ 
C)  $\frac { 2 x } { 9 }$ 
D)  $\frac { x } { 4 }$ 
E)  $\frac { x } { 8 }$

Question 11

Simple interest is given by Prt, where P is the principal investment, r is the interest rate, and t is the number of years. What is the interest if $P = \$ 6800$ , $r = 0.08$ , and $t = 4$ years?

Accepted Answer

A) $ $1088$ 
B) $ $3264$ 
C) $ $2176$ 
D) $ $6528$ 
E) $ $4352$ 
A) $ $1088$ 
B) $ $3264$ 
C) $ $2176$ 
D) $ $6528$ 
E) $ $4352$

Question 12

List all even integers between $- 6 \cdot 4$ and $6.2$ .

Accepted Answer

A)  $- 4 , - 2,0,2,4$ 
B)  $- 6 , - 4 , - 2,2,4,6$ 
C)  $- 4 , - 2,2,4$ 
D)  $- 6 , - 4 , - 2,0,2,4,6$ 
E)  $2,4,6$ 
A)  $- 4 , - 2,0,2,4$ 
B)  $- 6 , - 4 , - 2,2,4,6$ 
C)  $- 4 , - 2,2,4$ 
D)  $- 6 , - 4 , - 2,0,2,4,6$ 
E)  $2,4,6$

Question 13

You save $48 per month for 10 years. How much money has been saved during 10 years?

Accepted Answer

A) $480 
B) $576 
C) $14,400 
D) $5,760 
E) $17,280 
A) $480 
B) $576 
C) $14,400 
D) $5,760 
E) $17,280

Question 14

Use the Distributive Property to simplify $- 7 ( 4 x - y )$ .

Accepted Answer

A)  $- 28 x + y$ 
B)  $- 28 x + 7 y$ 
C)  $- 28 x - 7 y$ 
D)  $- 28 x - y$ 
E)  $- 28 x + 28 y$ 
A)  $- 28 x + y$ 
B)  $- 28 x + 7 y$ 
C)  $- 28 x - 7 y$ 
D)  $- 28 x - y$ 
E)  $- 28 x + 28 y$

Question 15

Choose the correct expression.

Accepted Answer

A)  $\left| - \frac { 1 } { 7 } \right|  - \left| \frac { 2 } { 5 } \right|$ 
C)  $\left| - \frac { 1 } { 7 } \right| = - \left| \frac { 2 } { 5 } \right|$ 
A)  $\left| - \frac { 1 } { 7 } \right|  - \left| \frac { 2 } { 5 } \right|$ 
C)  $\left| - \frac { 1 } { 7 } \right| = - \left| \frac { 2 } { 5 } \right|$

Question 16

Find the product 8(-5)

Accepted Answer

A) -13 
B) 13 
C) -40 
D) 40 
E) 3 
A) -13 
B) 13 
C) -40 
D) 40 
E) 3

Question 17

Use the Distributive Property to simplify $3 \left( 7 x + x y + y ^ { 2 } \right)$ .

Accepted Answer

A)  $21 x + 7 x y + 7 y ^ { 2 }$ 
B)  $21 x + 3 x y + y ^ { 2 }$ 
C)  $21 x + x y + y ^ { 2 }$ 
D)  $21 x + 3 x 3 y + 3 y ^ { 2 }$ 
E)  $21 x + 3 x y + 3 y ^ { 2 }$ 
A)  $21 x + 7 x y + 7 y ^ { 2 }$ 
B)  $21 x + 3 x y + y ^ { 2 }$ 
C)  $21 x + x y + y ^ { 2 }$ 
D)  $21 x + 3 x 3 y + 3 y ^ { 2 }$ 
E)  $21 x + 3 x y + 3 y ^ { 2 }$

Question 18

Multiply the fractions $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)$ and write the result in simplest form.

Accepted Answer

A)  $- \frac { 37 } { 18 }$ 
B)  $\frac { 1 } { 7 }$ 
C)  -$\frac { 1 } { 7 }$ 
D)  $- \frac { 10 } { 9 }$ 
E)  $\frac { 10 } { 9 }$ 
A)  $- \frac { 37 } { 18 }$ 
B)  $\frac { 1 } { 7 }$ 
C)  -$\frac { 1 } { 7 }$ 
D)  $- \frac { 10 } { 9 }$ 
E)  $\frac { 10 } { 9 }$

Question 19

Find the difference $18 - ( - 35 )$ .

Accepted Answer

A) 43 
B) -7 
C) 53 
D) -17 
E) -53 
A) 43 
B) -7 
C) 53 
D) -17 
E) -53

Question 20

Find the difference 75-351 .

Accepted Answer

A) -276 
B) 286 
C) -266 
D) 276 
E) -286 
A) -276 
B) 286 
C) -266 
D) 276 
E) -286

Write $( - 0.4 ) ^ { 6 }$ as a repeated multiplication problem.

Write a simplified algebraic expression for the area of the rectangle.

Find values for a and b such that the expression $a n + b$ yields the values in the table. n 0 1 2 3 4 an+b 4 10 16 22 28

Write an algebraic expression for the statement that follows. The distance (in miles)traveled in t hours if the average speed is $35$ miles per hour

Evaluate |2| .

Divide the fractions $\left( - \frac { 10 } { 9 } \right) \div \left( - \frac { 8 } { 7 } \right)$ and write the result in simplest form.

Identify the terms of the expression that follows. $-3 x y+2 x z-5 y z$

Identify the terms of the expression $9 x ^ { 2 } - 5 x y + y ^ { 2 }$ and the corresponding coefficient of each term.

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

Use the Distributive Property to simplify the expression $\frac { 7 x } { 8 } - \frac { 5 x } { 8 }$ .

Simple interest is given by Prt, where P is the principal investment, r is the interest rate, and t is the number of years. What is the interest if $P = \$ 6800$ , $r = 0.08$ , and $t = 4$ years?

List all even integers between $- 6 \cdot 4$ and $6.2$ .

You save $48 per month for 10 years. How much money has been saved during 10 years?

Use the Distributive Property to simplify $- 7 ( 4 x - y )$ .

Choose the correct expression.

Find the product 8(-5)

Use the Distributive Property to simplify $3 \left( 7 x + x y + y ^ { 2 } \right)$ .

Multiply the fractions $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)$ and write the result in simplest form.

Find the difference $18 - ( - 35 )$ .

Find the difference 75-351 .

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

Write (−0.4)6( - 0.4 ) ^ { 6 }(−0.4)6 as a repeated multiplication problem.

Write a simplified algebraic expression for the area of the rectangle.

Find values for a and b such that the expression an+ba n + ban+b yields the values in the table. n 0 1 2 3 4 an+b 4 10 16 22 28

Write an algebraic expression for the statement that follows. The distance (in miles)traveled in t hours if the average speed is 353535 miles per hour

Evaluate |2| .

Divide the fractions (−109)÷(−87)\left( - \frac { 10 } { 9 } \right) \div \left( - \frac { 8 } { 7 } \right)(−910​)÷(−78​) and write the result in simplest form.

Identify the terms of the expression that follows. −3xy+2xz−5yz-3 x y+2 x z-5 y z−3xy+2xz−5yz

Identify the terms of the expression 9x2−5xy+y29 x ^ { 2 } - 5 x y + y ^ { 2 }9x2−5xy+y2 and the corresponding coefficient of each term.

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

Use the Distributive Property to simplify the expression 7x8−5x8\frac { 7 x } { 8 } - \frac { 5 x } { 8 }87x​−85x​ .

Simple interest is given by Prt, where P is the principal investment, r is the interest rate, and t is the number of years. What is the interest if P=$6800P = \$ 6800P=$6800 , r=0.08r = 0.08r=0.08 , and t=4t = 4t=4 years?

List all even integers between −6⋅4- 6 \cdot 4−6⋅4 and 6.26.26.2 .

You save $48 per month for 10 years. How much money has been saved during 10 years?

Use the Distributive Property to simplify −7(4x−y)- 7 ( 4 x - y )−7(4x−y) .

Choose the correct expression.

Find the product 8(-5)

Use the Distributive Property to simplify 3(7x+xy+y2)3 \left( 7 x + x y + y ^ { 2 } \right)3(7x+xy+y2) .

Multiply the fractions (49)(−52)\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)(94​)(−25​) and write the result in simplest form.

Find the difference 18−(−35)18 - ( - 35 )18−(−35) .

Find the difference 75-351 .

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

Write $( - 0.4 ) ^ { 6 }$ as a repeated multiplication problem.

Find values for a and b such that the expression $a n + b$ yields the values in the table. n 0 1 2 3 4 an+b 4 10 16 22 28

Write an algebraic expression for the statement that follows. The distance (in miles)traveled in t hours if the average speed is $35$ miles per hour

Divide the fractions $\left( - \frac { 10 } { 9 } \right) \div \left( - \frac { 8 } { 7 } \right)$ and write the result in simplest form.

Identify the terms of the expression that follows. $-3 x y+2 x z-5 y z$

Identify the terms of the expression $9 x ^ { 2 } - 5 x y + y ^ { 2 }$ and the corresponding coefficient of each term.

Use the Distributive Property to simplify the expression $\frac { 7 x } { 8 } - \frac { 5 x } { 8 }$ .

Simple interest is given by Prt, where P is the principal investment, r is the interest rate, and t is the number of years. What is the interest if $P = \$ 6800$ , $r = 0.08$ , and $t = 4$ years?

List all even integers between $- 6 \cdot 4$ and $6.2$ .

Use the Distributive Property to simplify $- 7 ( 4 x - y )$ .

Use the Distributive Property to simplify $3 \left( 7 x + x y + y ^ { 2 } \right)$ .

Multiply the fractions $\left( \frac { 4 } { 9 } \right) \left( - \frac { 5 } { 2 } \right)$ and write the result in simplest form.

Find the difference $18 - ( - 35 )$ .