Question 1

Write the phrase as a variable expression. Use x to represent "a number."
-seven less than four times a number

Accepted Answer

A)   x-28 
B)   4x-7 
C)   7-4x 
D)   28- x 
A)   x-28 
B)   4x-7 
C)   7-4x 
D)   28- x B

Question 2

Multiply or divide as indicated.
-$\frac { - 6 } { 13 } \div ( - 4 )$

Accepted Answer

A)  $\frac { 24 } { 13 }$ 
B)  $- \frac { 3 } { 26 }$ 
C)  $- \frac { 24 } { 13 }$ 
D)  $\frac { 3 } { 26 }$ 
A)  $\frac { 24 } { 13 }$ 
B)  $- \frac { 3 } { 26 }$ 
C)  $- \frac { 24 } { 13 }$ 
D)  $\frac { 3 } { 26 }$ D

Question 3

Write the sentence as an equation.
-Twice  x  plus 2 is  -17 .

Accepted Answer

A)   2x(2)=-17 
B)   2x+2=-17 
C)   2x-2=-17 
D)   2 x$\div$ 2=-17 
A)   2x(2)=-17 
B)   2x+2=-17 
C)   2x-2=-17 
D)   2 x$\div$ 2=-17 B

Question 4

Write the number in scientific notation.
- 1,800,000

Accepted Answer

A)   1.8 x 107 
B)   1.8 x10-6 
C)   1.8 x 106 
D)   1.8 x 10-7 
A)   1.8 x 107 
B)   1.8 x10-6 
C)   1.8 x 106 
D)   1.8 x 10-7

Question 5

Simplify and write with positive exponents only.
-$\frac { 4 ^ { 7 } } { 4 ^ { - 3 } }$

Accepted Answer

A)   1,048,576 
B)  - $1$  1/1048576 
C)  $\frac { 1 } { 256 }$ 1/256 
D)  256 
A)   1,048,576 
B)  - $1$  1/1048576 
C)  $\frac { 1 } { 256 }$ 1/256 
D)  256

Question 6

Simplify the expression.
-$\sqrt { 9 ^ { 2 } } - | - 7 + 15 | + 2$

Accepted Answer

A)  3 
B)   -1 
C)  19 
D)  75 
A)  3 
B)   -1 
C)  19 
D)  75

Question 7

Determine if the statement is true or false.
- -5$\geq$ 21

Accepted Answer

A) True 
 B)False

Question 8

Simplify the expression.
-$8 \cdot ( 8 - 1 ) + \sqrt { 64 }$

Accepted Answer

A)  120 
B)  80 
C)  64 
D)  71 
A)  120 
B)  80 
C)  64 
D)  71

Question 9

Write the phrase as a variable expression. Use x to represent "a number."
-The quotient of 49 and a number

Accepted Answer

A)   x-49 
B)   49-x 
C)   $\frac { x } { 49 }$ 
D)   $\frac { 49 } { x }$ 
A)   x-49 
B)   49-x 
C)   $\frac { x } { 49 }$ 
D)   $\frac { 49 } { x }$

Question 10

Write the phrase as a variable expression. Use x to represent "a number."
-Twice the difference of a number and eight

Accepted Answer

A)   2 x-8 
B)   2(x-8) 
C)   2(x+8) 
D)   2 x+8 
A)   2 x-8 
B)   2(x-8) 
C)   2(x+8) 
D)   2 x+8

Question 11

Use the distributive property to multiply.
- 0.4(6 x+7y)

Accepted Answer

A)   2.4 x+7y 
B)   2.4x -2.8y 
C)   2.4x -7y 
D)   2.4x +2.8y 
A)   2.4 x+7y 
B)   2.4x -2.8y 
C)   2.4x -7y 
D)   2.4x +2.8y

Question 12

Multiply or divide as indicated.
--2.0

Accepted Answer

A)  0 
B)   -2 
C)  2 
D)  undefined 
A)  0 
B)   -2 
C)  2 
D)  undefined

Question 13

Evaluate the expression for the given values.
- 5x-3y   when  x=6  and  y=-4

Accepted Answer

A)  2 
B)  42 
C)  18 
D)   -38 
A)  2 
B)  42 
C)  18 
D)   -38

Question 14

Complete the statement to illustrate the given property.
- 6(3z)=_________  Associative property of multiplication

Accepted Answer

A)   6(z3) 
B)  $6 z \cdot 3 z$ 
C)   3(6z) 
D)  $( 6 \cdot 3 ) z$ 
A)   6(z3) 
B)  $6 z \cdot 3 z$ 
C)   3(6z) 
D)  $( 6 \cdot 3 ) z$

Question 15

Simplify. Write the answer using positive exponents only.
-$( - 2 x y ) ^ { 2 }$

Accepted Answer

A)   -4 x y 
B)  $4 x ^ { 2 } y ^ { 2 }$ 
C)   4 x y 
D)  $- 4 x ^ { 2 } y ^ { 2 }$ 
A)   -4 x y 
B)  $4 x ^ { 2 } y ^ { 2 }$ 
C)   4 x y 
D)  $- 4 x ^ { 2 } y ^ { 2 }$

Question 16

Find the value of the expression.
-$( - 4 ) ^ { 4 }$

Accepted Answer

A)   -256 
B)  256 
C)   -64 
D)  16 
A)   -256 
B)  256 
C)   -64 
D)  16

Question 17

Solve.
-The algebraic expression  200h  represents the work in foot-pounds required to lift a 200 pound object to a height  h  feet. Complete the table below by evaluating this expression at given values of  h .
$\begin{array} { l | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & & & &
\end{array}$

Accepted Answer

A)  $\begin{array} { c | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & 1400 & 1600 & 11,200 & 64,000
\end{array}$ 
B)  $\begin{array} { c | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & 1400 & 1600 & 5600 & 64,000
\end{array}$ 
C)  $\begin{array} { l | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & 1400 & 1600 & 11,200 & 128,000
\end{array}$ 
D)  $\begin{array} { c | c | c | c | c | c } 
\text { height } & h & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 h & 207 & 208 & 256 & 840
\end{array}$ 
A)  $\begin{array} { c | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & 1400 & 1600 & 11,200 & 64,000
\end{array}$ 
B)  $\begin{array} { c | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & 1400 & 1600 & 5600 & 64,000
\end{array}$ 
C)  $\begin{array} { l | c | c | c | c | c } 
\text { height } & \mathrm { h } & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 \mathrm {~h} & 1400 & 1600 & 11,200 & 128,000
\end{array}$ 
D)  $\begin{array} { c | c | c | c | c | c } 
\text { height } & h & 7 & 8 & 56 & 640 \
\hline \text { work } & 200 h & 207 & 208 & 256 & 840
\end{array}$

Question 18

Multiply or divide as indicated.
-$\frac { 5 } { 6 } \cdot \left( - \frac { 1 } { 9 } \right)$

Accepted Answer

A)  -$\frac { 54 } { 5 }$ 
B)   $\frac { 54 } { 5 }$ 
C)   $\frac { 5 } { 54 }$ 
D)  $- \frac { 5 } { 54 }$ 
A)  -$\frac { 54 } { 5 }$ 
B)   $\frac { 54 } { 5 }$ 
C)   $\frac { 5 } { 54 }$ 
D)  $- \frac { 5 } { 54 }$

Question 19

Use the product rule to simplify the expression.
-$x ^ { 7 } \cdot x ^ { 8 }$

Accepted Answer

A)  $x ^ { 56 }$ 
B)  $2 x ^ { 56 }$ 
C)  $2 x ^ { 15 }$ 
D)  $x ^ { 15 }$ 
A)  $x ^ { 56 }$ 
B)  $2 x ^ { 56 }$ 
C)  $2 x ^ { 15 }$ 
D)  $x ^ { 15 }$

Question 20

Simplify and write with positive exponents only.
-$\left( 9 x ^ { - 7 } \right) \left( 7 x ^ { - 5 } \right)$

Accepted Answer

A)   63 x12 
B)   63 x35 
C)   -63 x35 
D)   $\frac { 63 } { x ^ { 12 } }$ 
A)   63 x12 
B)   63 x35 
C)   -63 x35 
D)   $\frac { 63 } { x ^ { 12 } }$

Write the phrase as a variable expression. Use x to represent "a number." -seven less than four times a number

Multiply or divide as indicated. - $\frac { - 6 } { 13 } \div ( - 4 )$

Write the sentence as an equation. -Twice x plus 2 is -17 .

Write the number in scientific notation. - 1,800,000

Simplify and write with positive exponents only. - $\frac { 4 ^ { 7 } } { 4 ^ { - 3 } }$

Simplify the expression. - $\sqrt { 9 ^ { 2 } } - | - 7 + 15 | + 2$

Determine if the statement is true or false. - -5 $\geq$ 21

Simplify the expression. - $8 \cdot ( 8 - 1 ) + \sqrt { 64 }$

Write the phrase as a variable expression. Use x to represent "a number." -The quotient of 49 and a number

Write the phrase as a variable expression. Use x to represent "a number." -Twice the difference of a number and eight

Use the distributive property to multiply. - 0.4(6 x+7y)

Multiply or divide as indicated. --2.0

Evaluate the expression for the given values. - 5x-3y when x=6 and y=-4

Complete the statement to illustrate the given property. - 6(3z)=_________ Associative property of multiplication

Simplify. Write the answer using positive exponents only. - $( - 2 x y ) ^ { 2 }$

Find the value of the expression. - $( - 4 ) ^ { 4 }$

Solve. -The algebraic expression 200h represents the work in foot-pounds required to lift a 200 pound object to a height h feet. Complete the table below by evaluating this expression at given values of h . height 7 8 56 640 work 200

Multiply or divide as indicated. - $\frac { 5 } { 6 } \cdot \left( - \frac { 1 } { 9 } \right)$

Use the product rule to simplify the expression. - $x ^ { 7 } \cdot x ^ { 8 }$

Simplify and write with positive exponents only. - $\left( 9 x ^ { - 7 } \right) \left( 7 x ^ { - 5 } \right)$

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

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Exam 1: Real Numbers and Algebraic Expressions