Question 1

Simplify the expression. $\left( \frac { 2 } { 9 } \right) ^ { - 2 }$

Accepted Answer

A)  $\frac { 81 } { 4 }$ 
B)  $\frac { 9 } { 2 }$ 
C)  $- \frac { 4 } { 81 }$ 
D)  $\frac { 4 } { 81 }$ 
E)  $- \frac { 81 } { 4 }$ 
A)  $\frac { 81 } { 4 }$ 
B)  $\frac { 9 } { 2 }$ 
C)  $- \frac { 4 } { 81 }$ 
D)  $\frac { 4 } { 81 }$ 
E)  $- \frac { 81 } { 4 }$

Question 2

Divide. Give the answer in scientific notation. $\frac { 2.25 \times 10 ^ { - 13 } } { 7.5 \times 10 ^ { - 6 } }$

Accepted Answer

A)  $3 \times 10 ^ { - 9 }$ 
B)  $3 \times 10 ^ { - 8 }$ 
C)  $5 \times 10 ^ { - 7 }$ 
D)  $7 \times 10 ^ { - 8 }$ 
E)  $6 \times 10 ^ { - 8 }$ 
A)  $3 \times 10 ^ { - 9 }$ 
B)  $3 \times 10 ^ { - 8 }$ 
C)  $5 \times 10 ^ { - 7 }$ 
D)  $7 \times 10 ^ { - 8 }$ 
E)  $6 \times 10 ^ { - 8 }$

Question 3

Simplify the expression. $\frac { 1 } { 6 ^ { - 2 } }$

Accepted Answer

A)  -36 
B)  $- \frac { 1 } { 36 }$ 
C)  36 
D)  $- \frac { 1 } { 12 }$ 
E)  $\frac { 1 } { 36 }$ 
A)  -36 
B)  $- \frac { 1 } { 36 }$ 
C)  36 
D)  $- \frac { 1 } { 12 }$ 
E)  $\frac { 1 } { 36 }$

Question 4

Solve the equation. $z ^ { 2 } + 9 z + 18 = 0$, z = __________ If there is more than one solution separate your answers with commas.

Accepted Answer

The answer of Solve the equation. \(z ^ { 2...

Question 5

Factor the expression completely. $- 20 x + 12 + 8 x ^ { 2 }$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(- 20 x...

Question 6

Solve the equation. $( m + 1 ) ( 7 m + 1 ) - 7 = 49 m$

Accepted Answer

A)  $m = - \frac { 7 } { 11 } , m = 2$ 
B)  $m = \frac { 5 } { 7 } , m = - 8$ 
C)  $m = \frac { 2 } { 11 } , m = - 4$ 
D)  $m = - \frac { 7 } { 11 } , m = 7$ 
E)  $m = - \frac { 1 } { 7 } , m = 6$ 
A)  $m = - \frac { 7 } { 11 } , m = 2$ 
B)  $m = \frac { 5 } { 7 } , m = - 8$ 
C)  $m = \frac { 2 } { 11 } , m = - 4$ 
D)  $m = - \frac { 7 } { 11 } , m = 7$ 
E)  $m = - \frac { 1 } { 7 } , m = 6$

Question 7

Perform the indicated operation: $\left( 8 x ^ { 3 } y ^ { 2 } - 2 x y ^ { 4 } \right) + \left( 6 x ^ { 3 } y ^ { 2 } - 6 x y ^ { 4 } \right)$

Accepted Answer

A)  $14 x ^ { 6 } y ^ { 4 } - 8 x ^ { 2 } y ^ { 8 }$ 
B)  $14 x ^ { 3 } y ^ { 2 } + 8 x y ^ { 4 }$ 
C)  $14 x ^ { 3 } y ^ { 2 } - 4 x y ^ { 4 }$ 
D)  $14 x ^ { 3 } y ^ { 2 } - 8 x y ^ { 4 }$ 
A)  $14 x ^ { 6 } y ^ { 4 } - 8 x ^ { 2 } y ^ { 8 }$ 
B)  $14 x ^ { 3 } y ^ { 2 } + 8 x y ^ { 4 }$ 
C)  $14 x ^ { 3 } y ^ { 2 } - 4 x y ^ { 4 }$ 
D)  $14 x ^ { 3 } y ^ { 2 } - 8 x y ^ { 4 }$

Question 8

Solve: $x ( 3 x - 14 ) = 24$

Accepted Answer

A)  $\left\{ 24 , \frac { 38 } { 3 } \right\}$ 
B)  $\left\{ \frac { 4 } { 3 } , - 6 \right\}$ 
C)  $\left\{ - \frac { 4 } { 3 } , 6 \right\}$ 
D)  $\left\{ - \frac { 4 } { 3 } , - 6 \right\}$ 
A)  $\left\{ 24 , \frac { 38 } { 3 } \right\}$ 
B)  $\left\{ \frac { 4 } { 3 } , - 6 \right\}$ 
C)  $\left\{ - \frac { 4 } { 3 } , 6 \right\}$ 
D)  $\left\{ - \frac { 4 } { 3 } , - 6 \right\}$

Question 9

Perform the indicated operation. $\begin{array} { r } 
2 x ^ { 3 } - 3 x ^ { 2 } + 5 x - 2 \
- 3 x ^ { 3 } + 2 x ^ { 2 } + 2 x - 6 \
+ \quad 4 x ^ { 3 } - 7 x ^ { 2 } + 7 x - 10 \
\hline
\end{array}$

Accepted Answer

The answer of Perform the indicated operation. \(\begin{array} { r...

Question 10

Simplify the expression. $\frac { \left( 2 x ^ { 4 } \right) ^ { - 2 } } { x ^ { 7 } x ^ { - 8 } x ^ { 0 } }$

Accepted Answer

A)  $\frac { 1 } { 4 x ^ { 7 } }$ 
B)  $- 4 x ^ { 7 }$ 
C)  $\frac { 1 } { 4 x ^ { 5 } }$ 
D)  $- \frac { 1 } { 4 x ^ { 7 } }$ 
E)  $4 x ^ { 7 }$ 
A)  $\frac { 1 } { 4 x ^ { 7 } }$ 
B)  $- 4 x ^ { 7 }$ 
C)  $\frac { 1 } { 4 x ^ { 5 } }$ 
D)  $- \frac { 1 } { 4 x ^ { 7 } }$ 
E)  $4 x ^ { 7 }$

Question 11

Perform the indicated operations. $\left( 2 x ^ { 2 } + 3 x - 4 \right) + \left( 4 x ^ { 2 } - 2 x - 1 \right) - \left( x ^ { 2 } + x + 4 \right)$

Accepted Answer

A)  $5 x ^ { 2 } - x + 9$ 
B)  $5 x ^ { 2 } - 4$ 
C)  $5 x ^ { 2 } - 9$ 
D)  $5 x ^ { 2 } + x - 9$ 
E)  $2 x ^ { 2 } + 9$ 
A)  $5 x ^ { 2 } - x + 9$ 
B)  $5 x ^ { 2 } - 4$ 
C)  $5 x ^ { 2 } - 9$ 
D)  $5 x ^ { 2 } + x - 9$ 
E)  $2 x ^ { 2 } + 9$

Question 12

Simplify the expression. Write the answer using positive exponents. $\frac { c ^ { 9 } c ^ { 4 } } { c ^ { - 11 } }$

Accepted Answer

The answer of Simplify the expression. Write the answer using...

Question 13

Express the volume of the fish tank in scientific notation.

Accepted Answer

A)  $9 \times 10 ^ { 9 } \mathrm {~mm} ^ { 3 }$ 
B)  $1.8 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
C)  $9 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
D)  $9 \times 10 ^ { 12 } \mathrm {~mm} ^ { 3 }$ 
E)  $4.5 \times 10 ^ { 9 } \mathrm {~mm} ^ { 3 }$ 
A)  $9 \times 10 ^ { 9 } \mathrm {~mm} ^ { 3 }$ 
B)  $1.8 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
C)  $9 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
D)  $9 \times 10 ^ { 12 } \mathrm {~mm} ^ { 3 }$ 
E)  $4.5 \times 10 ^ { 9 } \mathrm {~mm} ^ { 3 }$

Question 14

Write the number in scientific notation. $0.0319 \times 10 ^ { - 2 }$   $\times 10 ^ { - }$

Accepted Answer

The answer of Write the number in scientific notation. \(0.0319...

Question 15

Factor the expression completely. $x y - 2 t y + x s ^ { 2 } - 2 t s ^ { 2 }$ If the expression is prime, so indicate.

Accepted Answer

The answer of Factor the expression completely. \(x y -...

Question 16

Let $f ( x ) = x ^ { 2 } - 4 x + 4$ For what value(s) of x is $f ( x ) = 1$ ?
 If there is more than one solution, separate your answers with commas.

Accepted Answer

The answer of Let \(f ( x ) = x...

Question 17

Factor the expression completely. If the expression is prime, so indicate. $36 x ^ { 2 } - 12 x + 1 - 36 y ^ { 2 }$

Accepted Answer

A)  $( x + 4 + 2 y ) ( x + 4 - 2 y )$ 
B)  $( 6 x - 1 + 6 y ) ( 6 x - 1 - 6 y )$ 
C)  $( x - 6 + 6 y ) ( x - 6 - 6 y )$ 
D)  $( 6 x + 1 + 6 y ) ( 6 x + 1 - 6 y )$ 
E)  prime 
A)  $( x + 4 + 2 y ) ( x + 4 - 2 y )$ 
B)  $( 6 x - 1 + 6 y ) ( 6 x - 1 - 6 y )$ 
C)  $( x - 6 + 6 y ) ( x - 6 - 6 y )$ 
D)  $( 6 x + 1 + 6 y ) ( 6 x + 1 - 6 y )$ 
E)  prime

Question 18

Express the volume of the fish tank in scientific notation.  
  $\times 10 ^ { - } \mathrm { mm } ^ { 3 }$

Accepted Answer

The answer of Express the volume of the fish tank...

Question 19

Perform the indicated operation. $\left( \frac { 1 } { 4 } y ^ { 6 } - \frac { 1 } { 6 } y ^ { 4 } - \frac { 5 } { 4 } y ^ { 2 } \right) + \left( - \frac { 1 } { 8 } y ^ { 6 } - \frac { 1 } { 2 } y ^ { 4 } + \frac { 7 } { 8 } y ^ { 2 } \right)$

Accepted Answer

A)  $\frac { 1 } { 8 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 4 } y ^ { 2 }$ 
B)  $\frac { 1 } { 8 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } + \frac { 3 } { 8 } y ^ { 2 }$ 
C)  $\frac { 1 } { 4 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 8 } y ^ { 2 }$ 
D)  $\frac { 1 } { 8 } y ^ { 6 } + \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 8 } y ^ { 2 }$ 
E)  $\frac { 1 } { 8 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 8 } y ^ { 2 }$ 
A)  $\frac { 1 } { 8 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 4 } y ^ { 2 }$ 
B)  $\frac { 1 } { 8 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } + \frac { 3 } { 8 } y ^ { 2 }$ 
C)  $\frac { 1 } { 4 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 8 } y ^ { 2 }$ 
D)  $\frac { 1 } { 8 } y ^ { 6 } + \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 8 } y ^ { 2 }$ 
E)  $\frac { 1 } { 8 } y ^ { 6 } - \frac { 2 } { 3 } y ^ { 4 } - \frac { 3 } { 8 } y ^ { 2 }$

Question 20

A positive number is written in __________ notation when it is written in the form $N \times 10 ^ { x }$ , where $1 \leq N < 10$ and n is an integer.

Accepted Answer

The answer of A positive number is written in __________...

Simplify the expression. $\left( \frac { 2 } { 9 } \right) ^ { - 2 }$

Divide. Give the answer in scientific notation. $\frac { 2.25 \times 10 ^ { - 13 } } { 7.5 \times 10 ^ { - 6 } }$

Simplify the expression. $\frac { 1 } { 6 ^ { - 2 } }$

Solve the equation. $z ^ { 2 } + 9 z + 18 = 0$ , z = __________ If there is more than one solution separate your answers with commas.

Factor the expression completely. $- 20 x + 12 + 8 x ^ { 2 }$ If the expression is prime, so indicate.

Solve the equation. $( m + 1 ) ( 7 m + 1 ) - 7 = 49 m$

Perform the indicated operation: $\left( 8 x ^ { 3 } y ^ { 2 } - 2 x y ^ { 4 } \right) + \left( 6 x ^ { 3 } y ^ { 2 } - 6 x y ^ { 4 } \right)$

Solve: $x ( 3 x - 14 ) = 24$

Perform the indicated operation. 2-3+5x-2 -3+2+2x-6 +4-7+7x-10

Simplify the expression. $\frac { \left( 2 x ^ { 4 } \right) ^ { - 2 } } { x ^ { 7 } x ^ { - 8 } x ^ { 0 } }$

Perform the indicated operations. $\left( 2 x ^ { 2 } + 3 x - 4 \right) + \left( 4 x ^ { 2 } - 2 x - 1 \right) - \left( x ^ { 2 } + x + 4 \right)$

Simplify the expression. Write the answer using positive exponents. $\frac { c ^ { 9 } c ^ { 4 } } { c ^ { - 11 } }$

Express the volume of the fish tank in scientific notation.

Write the number in scientific notation. $0.0319 \times 10 ^ { - 2 }$ $Write the number in scientific notation. 0.0319 \times 10 ^ { - 2 } \times 10 ^ { - }$ $\times 10 ^ { - }$

Factor the expression completely. $x y - 2 t y + x s ^ { 2 } - 2 t s ^ { 2 }$ If the expression is prime, so indicate.

Let $f ( x ) = x ^ { 2 } - 4 x + 4$ For what value(s) of x is $f ( x ) = 1$ ? If there is more than one solution, separate your answers with commas.

Factor the expression completely. If the expression is prime, so indicate. $36 x ^ { 2 } - 12 x + 1 - 36 y ^ { 2 }$

Perform the indicated operation. $\left( \frac { 1 } { 4 } y ^ { 6 } - \frac { 1 } { 6 } y ^ { 4 } - \frac { 5 } { 4 } y ^ { 2 } \right) + \left( - \frac { 1 } { 8 } y ^ { 6 } - \frac { 1 } { 2 } y ^ { 4 } + \frac { 7 } { 8 } y ^ { 2 } \right)$

A positive number is written in __________ notation when it is written in the form $N \times 10 ^ { x }$ , where $1 \leq N < 10$ and n is an integer.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Simplify the expression. (29)−2\left( \frac { 2 } { 9 } \right) ^ { - 2 }(92​)−2

Divide. Give the answer in scientific notation. 2.25×10−137.5×10−6\frac { 2.25 \times 10 ^ { - 13 } } { 7.5 \times 10 ^ { - 6 } }7.5×10−62.25×10−13​

Simplify the expression. 16−2\frac { 1 } { 6 ^ { - 2 } }6−21​

Solve the equation. z2+9z+18=0z ^ { 2 } + 9 z + 18 = 0z2+9z+18=0 , z = __________ If there is more than one solution separate your answers with commas.

Factor the expression completely. −20x+12+8x2- 20 x + 12 + 8 x ^ { 2 }−20x+12+8x2 If the expression is prime, so indicate.

Solve the equation. (m+1)(7m+1)−7=49m( m + 1 ) ( 7 m + 1 ) - 7 = 49 m(m+1)(7m+1)−7=49m

Perform the indicated operation: (8x3y2−2xy4)+(6x3y2−6xy4)\left( 8 x ^ { 3 } y ^ { 2 } - 2 x y ^ { 4 } \right) + \left( 6 x ^ { 3 } y ^ { 2 } - 6 x y ^ { 4 } \right)(8x3y2−2xy4)+(6x3y2−6xy4)

Solve: x(3x−14)=24x ( 3 x - 14 ) = 24x(3x−14)=24

Perform the indicated operation. 2-3+5x-2 -3+2+2x-6 +4-7+7x-10

Simplify the expression. (2x4)−2x7x−8x0\frac { \left( 2 x ^ { 4 } \right) ^ { - 2 } } { x ^ { 7 } x ^ { - 8 } x ^ { 0 } }x7x−8x0(2x4)−2​

Perform the indicated operations. (2x2+3x−4)+(4x2−2x−1)−(x2+x+4)\left( 2 x ^ { 2 } + 3 x - 4 \right) + \left( 4 x ^ { 2 } - 2 x - 1 \right) - \left( x ^ { 2 } + x + 4 \right)(2x2+3x−4)+(4x2−2x−1)−(x2+x+4)

Simplify the expression. Write the answer using positive exponents. c9c4c−11\frac { c ^ { 9 } c ^ { 4 } } { c ^ { - 11 } }c−11c9c4​

Express the volume of the fish tank in scientific notation.

Write the number in scientific notation. 0.0319×10−20.0319 \times 10 ^ { - 2 }0.0319×10−2 ×10−\times 10 ^ { - }×10−

Factor the expression completely. xy−2ty+xs2−2ts2x y - 2 t y + x s ^ { 2 } - 2 t s ^ { 2 }xy−2ty+xs2−2ts2 If the expression is prime, so indicate.

Let f(x)=x2−4x+4f ( x ) = x ^ { 2 } - 4 x + 4f(x)=x2−4x+4 For what value(s) of x is f(x)=1f ( x ) = 1f(x)=1 ? If there is more than one solution, separate your answers with commas.

Factor the expression completely. If the expression is prime, so indicate. 36x2−12x+1−36y236 x ^ { 2 } - 12 x + 1 - 36 y ^ { 2 }36x2−12x+1−36y2

Express the volume of the fish tank in scientific notation. ×10−mm3\times 10 ^ { - } \mathrm { mm } ^ { 3 }×10−mm3

A positive number is written in __________ notation when it is written in the form N×10xN \times 10 ^ { x }N×10x , where 1≤N<101 \leq N < 101≤N<10 and n is an integer.

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Simplify the expression. $\left( \frac { 2 } { 9 } \right) ^ { - 2 }$

Divide. Give the answer in scientific notation. $\frac { 2.25 \times 10 ^ { - 13 } } { 7.5 \times 10 ^ { - 6 } }$

Simplify the expression. $\frac { 1 } { 6 ^ { - 2 } }$

Solve the equation. $z ^ { 2 } + 9 z + 18 = 0$ , z = __________ If there is more than one solution separate your answers with commas.

Factor the expression completely. $- 20 x + 12 + 8 x ^ { 2 }$ If the expression is prime, so indicate.

Solve the equation. $( m + 1 ) ( 7 m + 1 ) - 7 = 49 m$

Perform the indicated operation: $\left( 8 x ^ { 3 } y ^ { 2 } - 2 x y ^ { 4 } \right) + \left( 6 x ^ { 3 } y ^ { 2 } - 6 x y ^ { 4 } \right)$

Solve: $x ( 3 x - 14 ) = 24$

Simplify the expression. $\frac { \left( 2 x ^ { 4 } \right) ^ { - 2 } } { x ^ { 7 } x ^ { - 8 } x ^ { 0 } }$

Perform the indicated operations. $\left( 2 x ^ { 2 } + 3 x - 4 \right) + \left( 4 x ^ { 2 } - 2 x - 1 \right) - \left( x ^ { 2 } + x + 4 \right)$

Simplify the expression. Write the answer using positive exponents. $\frac { c ^ { 9 } c ^ { 4 } } { c ^ { - 11 } }$

Write the number in scientific notation. $0.0319 \times 10 ^ { - 2 }$ $Write the number in scientific notation. 0.0319 \times 10 ^ { - 2 } \times 10 ^ { - }$ $\times 10 ^ { - }$

Factor the expression completely. $x y - 2 t y + x s ^ { 2 } - 2 t s ^ { 2 }$ If the expression is prime, so indicate.

Let $f ( x ) = x ^ { 2 } - 4 x + 4$ For what value(s) of x is $f ( x ) = 1$ ? If there is more than one solution, separate your answers with commas.

Factor the expression completely. If the expression is prime, so indicate. $36 x ^ { 2 } - 12 x + 1 - 36 y ^ { 2 }$

A positive number is written in __________ notation when it is written in the form $N \times 10 ^ { x }$ , where $1 \leq N < 10$ and n is an integer.