Question 1

List the elements in the set.
-$\{ x \mid x$ is a whole number less than 26 }

Accepted Answer

A)   {0,1,2, ... , 23,24,25} 
B)   {... , 24,25,26} 
C)   {0,1,2, ... , 24,25,26} 
D)   {1,2,3, ... , 23,24,25} 
A)   {0,1,2, ... , 23,24,25} 
B)   {... , 24,25,26} 
C)   {0,1,2, ... , 24,25,26} 
D)   {1,2,3, ... , 23,24,25}

Question 2

Use the distributive property to multiply.
- 9(x+5 y+5)

Accepted Answer

A)   9x -45y -45 
B)   9x +45y +45 
C)   9x +45y +5 
D)   9x +5y +5 
A)   9x -45y -45 
B)   9x +45y +45 
C)   9x +45y +5 
D)   9x +5y +5

Question 3

Name the property illustrated.
-(-2)+2=0

Accepted Answer

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

Question 4

Solve. Write the answer in scientific notation.
-If the mass of an object is  2.6522 x 10-3  tons and its volume is  1.49 x 104  cubic feet, find the density of this object. (Use the formula  D=$\frac { \mathrm { M } } { \mathrm { V } }$.)

Accepted Answer

A)   1.78 x 10-7  tons per cubic foot 
B)   1.78 x 10-6  tons per cubic foot 
C)   17.8 x 10-7  tons per cubic foot 
D)   1.78 x 10-8  tons per cubic foot 
A)   1.78 x 10-7  tons per cubic foot 
B)   1.78 x 10-6  tons per cubic foot 
C)   17.8 x 10-7  tons per cubic foot 
D)   1.78 x 10-8  tons per cubic foot

Question 5

Simplify. Write the answer using positive exponents only.
-$\frac { \left( x ^ { w } \right) ^ { 3 } } { \left( x ^ { 4 w } \right) ^ { - 4 } }$

Accepted Answer

A)   x19w  
B)   x13w  
C)  $\frac { 1 } { \mathrm { x } ^ { 19 \mathrm { w } } }$ 
D)  $\frac { 1 } { x ^ { 13 w } }$ 
A)   x19w  
B)   x13w  
C)  $\frac { 1 } { \mathrm { x } ^ { 19 \mathrm { w } } }$ 
D)  $\frac { 1 } { x ^ { 13 w } }$

Question 6

Simplify.
-10(4v + 8) - (4v - 3)

Accepted Answer

A)  36v + 83 
B)  -36v + 77 
C)  44v + 11 
D)  44v + 5 
A)  36v + 83 
B)  -36v + 77 
C)  44v + 11 
D)  44v + 5

Question 7

Simplify the expression.
-$\frac { 7 + ( - 5 ) ^ { 2 } + 3 \cdot 4 } { 3 \cdot ( 4 - 2 ) }$

Accepted Answer

A)  2 
B)  1 
C)   $\frac { 38 } { 5 }$ 
D)   $\frac { 22 } { 3 }$ 
A)  2 
B)  1 
C)   $\frac { 38 } { 5 }$ 
D)   $\frac { 22 } { 3 }$

Question 8

Solve.
-The algebraic expression  6h  represents the area of a triangle with base 12 and height  h .
 
Complete the table below by evaluating this expression at given values of  h .
$\begin{array} { l l | l | l | l | l } 
\text { height } & h & 5 & 8 & 9 & 11 \
\hline \text { area } & 6 h & & & &
\end{array}$

Accepted Answer

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

Question 9

Simplify. Write the answer using positive exponents only.
-$\left( \frac { 3 p ^ { 2 } } { p ^ { 12 } } \right) ^ { 2 }$

Accepted Answer

A)  $\frac { 3 } { \mathrm { p } ^ { 20 } }$ 
B)  $9 \mathrm { p } ^ { 20 }$ 
C)  $\frac { 9 } { \mathrm { p } ^ { 20 } }$ 
D)  - $\frac { 9 } { \mathrm { p } ^ { 22 } }$ 
A)  $\frac { 3 } { \mathrm { p } ^ { 20 } }$ 
B)  $9 \mathrm { p } ^ { 20 }$ 
C)  $\frac { 9 } { \mathrm { p } ^ { 20 } }$ 
D)  - $\frac { 9 } { \mathrm { p } ^ { 22 } }$

Question 10

Use the quotient rule to simplify.
-$\frac { x ^ { 13 } } { x ^ { 6 } }$

Accepted Answer

A)  $x ^ { 7 }$ 
B)  $\frac { 1 } { 7 }$..1/x7 
C)   $x ^ { 6 }$ 
D) $\text { ) }$ 
A)  $x ^ { 7 }$ 
B)  $\frac { 1 } { 7 }$..1/x7 
C)   $x ^ { 6 }$ 
D) $\text { ) }$

Question 11

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
-A letter that represents a number is called a(n) .

Accepted Answer

A)  exponent 
B)  variable 
C)  absolute value 
D)  opposite 
A)  exponent 
B)  variable 
C)  absolute value 
D)  opposite

Question 12

Tell whether the statement is true or false.
--$\frac { 5 } { 3 }$  is a real number.

Accepted Answer

A) True 
 B)False

Question 13

Simplify.
- 8x-4-5 x+7

Accepted Answer

A)  6 
B)   3x+3 
C)   6x 
D)   13x+3 
A)  6 
B)   3x+3 
C)   6x 
D)   13x+3

Question 14

Perform the indicated operation. Write the answer in scientific notation.
-$\frac { 0.00027 \times 0.0002 } { 0.0009 }$

Accepted Answer

A)   6 x 105 
B)   54 x 106 
C)   54 x 10-6 
D)   6 x 10-5 
A)   6 x 105 
B)   54 x 106 
C)   54 x 10-6 
D)   6 x 10-5

Question 15

Use the quotient rule to simplify.
-$\frac { - 63 x ^ { 11 } y ^ { 11 } z ^ { 9 } } { 7 x ^ { 4 } y ^ { 8 } z ^ { 8 } }$

Accepted Answer

A)  $x ^ { 7 } y ^ { 3 } z$ 
B)  $- 9 x ^ { 6 } y ^ { 2 } z$ 
C)  $- 9 x ^ { 7 } y ^ { 3 }$ 
D)  $- 9 x ^ { 7 } y ^ { 3 } z$ 
A)  $x ^ { 7 } y ^ { 3 } z$ 
B)  $- 9 x ^ { 6 } y ^ { 2 } z$ 
C)  $- 9 x ^ { 7 } y ^ { 3 }$ 
D)  $- 9 x ^ { 7 } y ^ { 3 } z$

Question 16

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\left( x ^ { - 2 a - 1 } \right) ^ { - 4 }$

Accepted Answer

A)  $x ^ { 3 a + 3 }$ 
B)  $\frac { 1 } { x ^ { 8 a + 4 } }$ 
C)  $x ^ { 8 a } + 4$ 
D)  $\frac { 1 } { x ^ { 3 a } + 3 }$ 
A)  $x ^ { 3 a + 3 }$ 
B)  $\frac { 1 } { x ^ { 8 a + 4 } }$ 
C)  $x ^ { 8 a } + 4$ 
D)  $\frac { 1 } { x ^ { 3 a } + 3 }$

Question 17

Multiply or divide as indicated.
-$- \frac { 7 } { 10 } \div \frac { 7 } { 9 }$

Accepted Answer

A)  $\frac { 9 } { 10 }$ 
B)  $- \frac { 9 } { 10 }$ 
C)  $\frac { 10 } { 9 }$ 
D)  $- \frac { 49 } { 90 }$ 
A)  $\frac { 9 } { 10 }$ 
B)  $- \frac { 9 } { 10 }$ 
C)  $\frac { 10 } { 9 }$ 
D)  $- \frac { 49 } { 90 }$

Question 18

Write the sentence as an equation.
-Four times  x  added to 9 times  x  is the same as 52 .

Accepted Answer

A)   4(x+9)=52 x 
B)   4 x-9 x=52 
C)   4 x(9+x)=52 
D)   4 x+9 x=52 
A)   4(x+9)=52 x 
B)   4 x-9 x=52 
C)   4 x(9+x)=52 
D)   4 x+9 x=52

Question 19

Perform the indicated operation. Write the answer in scientific notation.
-$\frac { 10.08 \times 10 ^ { - 4 } } { 2.4 \times 10 ^ { 8 } }$

Accepted Answer

A)   4.2 x 104 
B)   4.2 x 10-12 
C)   8.4 x 10-12 
D)   8.4 x 104  
A)   4.2 x 104 
B)   4.2 x 10-12 
C)   8.4 x 10-12 
D)   8.4 x 104

Question 20

Determine if the statement is true or false.
- 18 $\leq$ 6

Accepted Answer

A) True 
 B)False

List the elements in the set. - $\{ x \mid x$ is a whole number less than 26 }

Use the distributive property to multiply. - 9(x+5 y+5)

Name the property illustrated. -(-2)+2=0

Solve. Write the answer in scientific notation. -If the mass of an object is 2.6522 x 10-3 tons and its volume is 1.49 x 104 cubic feet, find the density of this object. (Use the formula D= $\frac { \mathrm { M } } { \mathrm { V } }$ .)

Simplify. Write the answer using positive exponents only. - $\frac { \left( x ^ { w } \right) ^ { 3 } } { \left( x ^ { 4 w } \right) ^ { - 4 } }$

Simplify. -10(4v + 8) - (4v - 3)

Simplify the expression. - $\frac { 7 + ( - 5 ) ^ { 2 } + 3 \cdot 4 } { 3 \cdot ( 4 - 2 ) }$

Simplify. Write the answer using positive exponents only. - $\left( \frac { 3 p ^ { 2 } } { p ^ { 12 } } \right) ^ { 2 }$

Use the quotient rule to simplify. - $\frac { x ^ { 13 } } { x ^ { 6 } }$

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable -A letter that represents a number is called a(n) .

Tell whether the statement is true or false. -- $\frac { 5 } { 3 }$ is a real number.

Simplify. - 8x-4-5 x+7

Perform the indicated operation. Write the answer in scientific notation. - $\frac { 0.00027 \times 0.0002 } { 0.0009 }$

Use the quotient rule to simplify. - $\frac { - 63 x ^ { 11 } y ^ { 11 } z ^ { 9 } } { 7 x ^ { 4 } y ^ { 8 } z ^ { 8 } }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\left( x ^ { - 2 a - 1 } \right) ^ { - 4 }$

Multiply or divide as indicated. - $- \frac { 7 } { 10 } \div \frac { 7 } { 9 }$

Write the sentence as an equation. -Four times x added to 9 times x is the same as 52 .

Perform the indicated operation. Write the answer in scientific notation. - $\frac { 10.08 \times 10 ^ { - 4 } } { 2.4 \times 10 ^ { 8 } }$

Determine if the statement is true or false. - 18 $\leq$ 6

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

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions

List the elements in the set. - {x∣x\{ x \mid x{x∣x is a whole number less than 26 }

Use the distributive property to multiply. - 9(x+5 y+5)

Name the property illustrated. -(-2)+2=0

Solve. Write the answer in scientific notation. -If the mass of an object is 2.6522 x 10-3 tons and its volume is 1.49 x 104 cubic feet, find the density of this object. (Use the formula D= MV\frac { \mathrm { M } } { \mathrm { V } }VM​ .)

Simplify. Write the answer using positive exponents only. - (xw)3(x4w)−4\frac { \left( x ^ { w } \right) ^ { 3 } } { \left( x ^ { 4 w } \right) ^ { - 4 } }(x4w)−4(xw)3​