Question 1

Simplify. Write the answer using positive exponents only.
-$\left( 3 ^ { 5 } \right) ^ { 5 }$

Accepted Answer

A)  $310$ 
B)  $5 \cdot 3 ^ { 5 }$ 
C)  $3 ^ { 25 }$ 
D)  $5 \cdot 3 ^ { 25 }$ 
A)  $310$ 
B)  $5 \cdot 3 ^ { 5 }$ 
C)  $3 ^ { 25 }$ 
D)  $5 \cdot 3 ^ { 25 }$

Question 2

Determine whether the statement is true or false.
-$- 8 ^ { 2 } = ( - 8 ) ^ { 2 }$

Accepted Answer

A) True 
 B)False

Question 3

Write the number in standard notation.
-$4.999 \times 10 ^ { - 6 }$

Accepted Answer

A)   0.000004999 
B)   0.00004999 
C)   -4,999,000 
D)   0.0000004999 
A)   0.000004999 
B)   0.00004999 
C)   -4,999,000 
D)   0.0000004999

Question 4

Simplify the expression.
-$( - 5 - 8 ) ( - 4 + 5 ) - 4 ^ { 4 }$

Accepted Answer

A)  256 
B)  243 
C)   -269 
D)  1 
A)  256 
B)  243 
C)   -269 
D)  1

Question 5

List all the elements of B that belong to the given set.
-B = $\left\{ 11 , \sqrt { 5 } , - 16,0 , \frac { 0 } { 4 } , \sqrt { 25 } , 0.24 \right\}$
Rational numbers

Accepted Answer

A)  $\sqrt { 5 } , \frac { 0 } { 4 } , 0.24$ 
B)  $\sqrt { 5 } , \sqrt { 25 }$ 
C)  11,0, $\sqrt { 25 }$ 
D)  $11 , - 16,0 , \frac { 0 } { 4 } , \sqrt { 25 } , 0.24$ 
A)  $\sqrt { 5 } , \frac { 0 } { 4 } , 0.24$ 
B)  $\sqrt { 5 } , \sqrt { 25 }$ 
C)  11,0, $\sqrt { 25 }$ 
D)  $11 , - 16,0 , \frac { 0 } { 4 } , \sqrt { 25 } , 0.24$

Question 6

Simplify and write with positive exponents only.
-$x ^ { 8 } \cdot x ^ { - 3 }$

Accepted Answer

A)   $\frac { 1 } { x ^ { 5 } }$ 
B)   -x5 
C)   x5 
D)   -$\frac { 1 } { x ^ { 5 } }$ 
A)   $\frac { 1 } { x ^ { 5 } }$ 
B)   -x5 
C)   x5 
D)   -$\frac { 1 } { x ^ { 5 } }$

Question 7

Determine if the statement is true or false.
- -3< 14

Accepted Answer

A) True 
 B)False

Question 8

Simplify. Write the answer using positive exponents only.
-$\left( \frac { m ^ { 4 } } { q ^ { 3 } } \right) ^ { 5 }$

Accepted Answer

A)  $\frac { m ^ { 20 } } { q ^ { 15 } }$ 
B)  $\frac { m ^ { 9 } } { q ^ { 15 } }$ 
C)  $\frac { \mathrm { m } ^ { 9 } } { \mathrm { q } ^ { 8 } }$ 
D)  $\frac { m ^ { 20 } } { q ^ { 8 } }$ 
A)  $\frac { m ^ { 20 } } { q ^ { 15 } }$ 
B)  $\frac { m ^ { 9 } } { q ^ { 15 } }$ 
C)  $\frac { \mathrm { m } ^ { 9 } } { \mathrm { q } ^ { 8 } }$ 
D)  $\frac { m ^ { 20 } } { q ^ { 8 } }$

Question 9

Use scientific notation to find the quotient. Express the quotient in scientific notation.
-$\frac { ( 0.00012 ) ( 0.0003 ) } { 0.0006 }$

Accepted Answer

A)   6 x 10-5 
B)   36 x 10-6 
C)   6 x 105 
D)   36 x 106 
A)   6 x 10-5 
B)   36 x 10-6 
C)   6 x 105 
D)   36 x 106

Question 10

Tell whether the statement is true or false.
-Every irrational number is a natural number.

Accepted Answer

A) True 
 B)False

Question 11

Evaluate the expression.
-$9 y ^ { 0 } + 4$

Accepted Answer

A)  13 
B)  1 
C)  4 
D)  0 
A)  13 
B)  1 
C)  4 
D)  0

Question 12

List the elements in the set.
-$\{ x \mid x$ is a natural number less than  -3}

Accepted Answer

A)   $\phi$ 
B)   {-2,-1,0, ...} 
C)   {....,-6,-5,-4} 
D)   {-4,-5,-6, ...} 
A)   $\phi$ 
B)   {-2,-1,0, ...} 
C)   {....,-6,-5,-4} 
D)   {-4,-5,-6, ...}

Question 13

Simplify the expression.
-$- 8 - ( 3 - 5 + 7 ) ^ { 2 }$

Accepted Answer

A)  33 
B)  81 
C)  17 
D)   -33 
A)  33 
B)  81 
C)  17 
D)   -33

Question 14

Find the absolute value.
-$- | - 21 |$

Accepted Answer

A)   -21 
B)  21 
C)  0 
D)  42 
A)   -21 
B)  21 
C)  0 
D)  42

Question 15

Multiply or divide as indicated.
- -8(-3)(-3)

Accepted Answer

A)  72 
B)   -72 
C)   -172 
D)   -62 
A)  72 
B)   -72 
C)   -172 
D)   -62

Question 16

List all the elements of B that belong to the given set.
- B=$\left\{ 4 , \sqrt { 8 } , - 4,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.5 \right\}$
Irrational numbers

Accepted Answer

A)  $\sqrt { 8 } , \sqrt { 9 }$ 
B)  $\sqrt { 8 } , \sqrt { 9 } , 0.5$ 
C)  $\sqrt { 8 }$ 
D)  $\sqrt { 8 } , 0.5$ 
A)  $\sqrt { 8 } , \sqrt { 9 }$ 
B)  $\sqrt { 8 } , \sqrt { 9 } , 0.5$ 
C)  $\sqrt { 8 }$ 
D)  $\sqrt { 8 } , 0.5$

Question 17

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

Accepted Answer

A)  $\frac { 10 } { x + 2 }$ 
B)  $\frac { x + 2 } { 10 }$ 
C)  $\frac { x - 2 } { 10 }$ 
D)  $\frac { 10 } { x - 2 }$ 
A)  $\frac { 10 } { x + 2 }$ 
B)  $\frac { x + 2 } { 10 }$ 
C)  $\frac { x - 2 } { 10 }$ 
D)  $\frac { 10 } { x - 2 }$

Question 18

Solve. Write the answer in scientific notation.
-A particle is observed moving at  9.57 x 10-4  meters per second. Find the distance the particle would travel in 
9.16 x 10-7  seconds.

Accepted Answer

A)   8.77 x 10-11  meters 
B)   8.77 x 10-10  meters 
C)   8.77 x 10-9  meters 
D)   0.88 x 10-10  meters 
A)   8.77 x 10-11  meters 
B)   8.77 x 10-10  meters 
C)   8.77 x 10-9  meters 
D)   0.88 x 10-10  meters

Question 19

Simplify. Write the answer using positive exponents only.
-$\left( \frac { 5 } { 2 } \right) ^ { 3 }$

Accepted Answer

A)  133 
B)  $\frac { 125 } { 2 }$ 
C)  117 
D)  $\frac { 125 } { 8 }$ 
A)  133 
B)  $\frac { 125 } { 2 }$ 
C)  117 
D)  $\frac { 125 } { 8 }$

Question 20

Simplify the expression.
- 4[-5+8(-3+8)]

Accepted Answer

A)  140 
B)  20 
C)  60 
D)  56 
A)  140 
B)  20 
C)  60 
D)  56

Simplify. Write the answer using positive exponents only. - $\left( 3 ^ { 5 } \right) ^ { 5 }$

Determine whether the statement is true or false. - $- 8 ^ { 2 } = ( - 8 ) ^ { 2 }$

Write the number in standard notation. - $4.999 \times 10 ^ { - 6 }$

Simplify the expression. - $( - 5 - 8 ) ( - 4 + 5 ) - 4 ^ { 4 }$

List all the elements of B that belong to the given set. -B = $\left\{ 11 , \sqrt { 5 } , - 16,0 , \frac { 0 } { 4 } , \sqrt { 25 } , 0.24 \right\}$ Rational numbers

Simplify and write with positive exponents only. - $x ^ { 8 } \cdot x ^ { - 3 }$

Determine if the statement is true or false. - -3< 14

Simplify. Write the answer using positive exponents only. - $\left( \frac { m ^ { 4 } } { q ^ { 3 } } \right) ^ { 5 }$

Use scientific notation to find the quotient. Express the quotient in scientific notation. - $\frac { ( 0.00012 ) ( 0.0003 ) } { 0.0006 }$

Tell whether the statement is true or false. -Every irrational number is a natural number.

Evaluate the expression. - $9 y ^ { 0 } + 4$

List the elements in the set. - $\{ x \mid x$ is a natural number less than -3}

Simplify the expression. - $- 8 - ( 3 - 5 + 7 ) ^ { 2 }$

Find the absolute value. - $- | - 21 |$

Multiply or divide as indicated. - -8(-3)(-3)

List all the elements of B that belong to the given set. - B= $\left\{ 4 , \sqrt { 8 } , - 4,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.5 \right\}$ Irrational numbers

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

Solve. Write the answer in scientific notation. -A particle is observed moving at 9.57 x 10^-4 meters per second. Find the distance the particle would travel in 9.16 x 10^-7 seconds.

Simplify. Write the answer using positive exponents only. - $\left( \frac { 5 } { 2 } \right) ^ { 3 }$

Simplify the expression. - 4[-5+8(-3+8)]

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

Simplify. Write the answer using positive exponents only. - (35)5\left( 3 ^ { 5 } \right) ^ { 5 }(35)5

Determine whether the statement is true or false. - −82=(−8)2- 8 ^ { 2 } = ( - 8 ) ^ { 2 }−82=(−8)2

Write the number in standard notation. - 4.999×10−64.999 \times 10 ^ { - 6 }4.999×10−6

Simplify the expression. - (−5−8)(−4+5)−44( - 5 - 8 ) ( - 4 + 5 ) - 4 ^ { 4 }(−5−8)(−4+5)−44

List all the elements of B that belong to the given set. -B = {11,5,−16,0,04,25,0.24}\left\{ 11 , \sqrt { 5 } , - 16,0 , \frac { 0 } { 4 } , \sqrt { 25 } , 0.24 \right\}{11,5​,−16,0,40​,25​,0.24} Rational numbers

Simplify and write with positive exponents only. - x8⋅x−3x ^ { 8 } \cdot x ^ { - 3 }x8⋅x−3

Determine if the statement is true or false. - -3< 14

Simplify. Write the answer using positive exponents only. - (m4q3)5\left( \frac { m ^ { 4 } } { q ^ { 3 } } \right) ^ { 5 }(q3m4​)5

Use scientific notation to find the quotient. Express the quotient in scientific notation. - (0.00012)(0.0003)0.0006\frac { ( 0.00012 ) ( 0.0003 ) } { 0.0006 }0.0006(0.00012)(0.0003)​

Tell whether the statement is true or false. -Every irrational number is a natural number.

Evaluate the expression. - 9y0+49 y ^ { 0 } + 49y0+4

List the elements in the set. - {x∣x\{ x \mid x{x∣x is a natural number less than -3}

Simplify the expression. - −8−(3−5+7)2- 8 - ( 3 - 5 + 7 ) ^ { 2 }−8−(3−5+7)2

Find the absolute value. - −∣−21∣- | - 21 |−∣−21∣

Multiply or divide as indicated. - -8(-3)(-3)

List all the elements of B that belong to the given set. - B= {4,8,−4,0,04,9,0.5}\left\{ 4 , \sqrt { 8 } , - 4,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.5 \right\}{4,8​,−4,0,40​,9​,0.5} Irrational numbers

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

Solve. Write the answer in scientific notation. -A particle is observed moving at 9.57 x 10-4 meters per second. Find the distance the particle would travel in 9.16 x 10-7 seconds.

Simplify. Write the answer using positive exponents only. - (52)3\left( \frac { 5 } { 2 } \right) ^ { 3 }(25​)3

Simplify the expression. - 4[-5+8(-3+8)]

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

Simplify. Write the answer using positive exponents only. - $\left( 3 ^ { 5 } \right) ^ { 5 }$

Determine whether the statement is true or false. - $- 8 ^ { 2 } = ( - 8 ) ^ { 2 }$

Write the number in standard notation. - $4.999 \times 10 ^ { - 6 }$

Simplify the expression. - $( - 5 - 8 ) ( - 4 + 5 ) - 4 ^ { 4 }$

List all the elements of B that belong to the given set. -B = $\left\{ 11 , \sqrt { 5 } , - 16,0 , \frac { 0 } { 4 } , \sqrt { 25 } , 0.24 \right\}$ Rational numbers

Simplify and write with positive exponents only. - $x ^ { 8 } \cdot x ^ { - 3 }$

Simplify. Write the answer using positive exponents only. - $\left( \frac { m ^ { 4 } } { q ^ { 3 } } \right) ^ { 5 }$

Use scientific notation to find the quotient. Express the quotient in scientific notation. - $\frac { ( 0.00012 ) ( 0.0003 ) } { 0.0006 }$

Evaluate the expression. - $9 y ^ { 0 } + 4$

List the elements in the set. - $\{ x \mid x$ is a natural number less than -3}

Simplify the expression. - $- 8 - ( 3 - 5 + 7 ) ^ { 2 }$

Find the absolute value. - $- | - 21 |$

List all the elements of B that belong to the given set. - B= $\left\{ 4 , \sqrt { 8 } , - 4,0 , \frac { 0 } { 4 } , \sqrt { 9 } , 0.5 \right\}$ Irrational numbers

Solve. Write the answer in scientific notation. -A particle is observed moving at 9.57 x 10^-4 meters per second. Find the distance the particle would travel in 9.16 x 10^-7 seconds.

Simplify. Write the answer using positive exponents only. - $\left( \frac { 5 } { 2 } \right) ^ { 3 }$