Question 1

Select the correct representation of the inequality in interval notation. $x \leq 9$

Accepted Answer

A)  $[ 9 , \infty )$ 
B)  $[ - \infty , 9 ]$ 
C)  $\quad ( 9 , \infty )$ 
D)  $\quad ( - \infty , 9 ]$ 
E)  $\quad ( - \infty , 9 )$ 
A)  $[ 9 , \infty )$ 
B)  $[ - \infty , 9 ]$ 
C)  $\quad ( 9 , \infty )$ 
D)  $\quad ( - \infty , 9 ]$ 
E)  $\quad ( - \infty , 9 )$

Question 2

Rationalize the denominator and simplify. $\frac { 3 } { \sqrt [ 5 ] { 3 } }$

Accepted Answer

A)  $\sqrt [ 6 ] { 82 }$ 
B)  $\sqrt [ 5 ] { 181 }$ 
C)  $\quad \sqrt [ 5 ] { 84 }$ 
D)  $\sqrt [ 10 ] { 81 }$ 
E)  $\sqrt [ 5 ] { 81 }$ 
A)  $\sqrt [ 6 ] { 82 }$ 
B)  $\sqrt [ 5 ] { 181 }$ 
C)  $\quad \sqrt [ 5 ] { 84 }$ 
D)  $\sqrt [ 10 ] { 81 }$ 
E)  $\sqrt [ 5 ] { 81 }$

Question 3

Factor the expression completely. $$( 4 x - 4 y ) ^ { 3 } + 125$$

Accepted Answer

A)  $( 4 x + 4 y - 5 ) \cdot \left( 16 x ^ { 2 } - 20 x - 32 x y + 20 y + 16 y ^ { 2 } + 25 \right)$ 
B)  $( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } + 20 x + 32 x y - 20 y - 16 y ^ { 2 } + 25 \right)$ 
C)  $( 4 x + 4 y - 5 ) \cdot \left( 16 x ^ { 2 } + 20 x + 32 x y - 20 y - 16 y ^ { 2 } + 25 \right)$ 
D)  $( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } - 20 x + 32 x y - 20 y + 16 y ^ { 2 } + 25 \right)$ 
E)  $( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } - 20 x - 32 x y + 20 y + 16 y ^ { 2 } + 25 \right)$ 
A)  $( 4 x + 4 y - 5 ) \cdot \left( 16 x ^ { 2 } - 20 x - 32 x y + 20 y + 16 y ^ { 2 } + 25 \right)$ 
B)  $( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } + 20 x + 32 x y - 20 y - 16 y ^ { 2 } + 25 \right)$ 
C)  $( 4 x + 4 y - 5 ) \cdot \left( 16 x ^ { 2 } + 20 x + 32 x y - 20 y - 16 y ^ { 2 } + 25 \right)$ 
D)  $( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } - 20 x + 32 x y - 20 y + 16 y ^ { 2 } + 25 \right)$ 
E)  $( 4 x - 4 y + 5 ) \cdot \left( 16 x ^ { 2 } - 20 x - 32 x y + 20 y + 16 y ^ { 2 } + 25 \right)$

Question 4

Factor the expression completely. $22 r ^ { 2 } - 13 r s - 30 s ^ { 2 }$

Accepted Answer

A)  $\quad ( 2 r - 3 s ) ( 11 r + 10 s )$ 
B)  $\quad ( 3 r - 2 s ) ( 11 r + 10 s )$ 
C)  $\quad ( 2 r + 3 s ) ( 11 r - 10 s )$ 
D)  $\quad ( 2 r - 3 s ) ( 10 r + 11 s )$ 
A)  $\quad ( 2 r - 3 s ) ( 11 r + 10 s )$ 
B)  $\quad ( 3 r - 2 s ) ( 11 r + 10 s )$ 
C)  $\quad ( 2 r + 3 s ) ( 11 r - 10 s )$ 
D)  $\quad ( 2 r - 3 s ) ( 10 r + 11 s )$

Question 5

Perform the division.

Accepted Answer

A)  $\quad 13 x - 23$ 
B)  $13 x - 21$ 
C)  $\quad 13 x ^ { 2 } - 21$ 
D)  $\quad 23 - 13 x$ 
A)  $\quad 13 x - 23$ 
B)  $13 x - 21$ 
C)  $\quad 13 x ^ { 2 } - 21$ 
D)  $\quad 23 - 13 x$

Question 6

Calculate the volume of a box that has dimensions of 4,000 by 8,400 by 5,300 millimeters.

Accepted Answer

A)  $ 1.7808 \times 10 ^ { 11 } \mathrm {~mm} ^ { 3 }$ 
B)  $ 1.2948 \times 10 ^ { 11 } \mathrm {~mm} ^ { 3 }$ 
C)  $1.7808 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
D)  $1.2948 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
A)  $ 1.7808 \times 10 ^ { 11 } \mathrm {~mm} ^ { 3 }$ 
B)  $ 1.2948 \times 10 ^ { 11 } \mathrm {~mm} ^ { 3 }$ 
C)  $1.7808 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$ 
D)  $1.2948 \times 10 ^ { 10 } \mathrm {~mm} ^ { 3 }$

Question 7

Factor the expression completely. $6 x ^ { 2 } + 3 x ^ { 3 }$

Accepted Answer

A)  $\quad 3 x ^ { 2 } ( 2 - x )$ 
B)  $\quad 3 x ^ { 2 } ( 2 + x )$ 
C)  $\quad 3 x ^ { 2 } ( 3 + x )$ 
D)  $\quad 3 x ^ { 2 } \left( 2 + x ^ { 2 } \right)$ 
A)  $\quad 3 x ^ { 2 } ( 2 - x )$ 
B)  $\quad 3 x ^ { 2 } ( 2 + x )$ 
C)  $\quad 3 x ^ { 2 } ( 3 + x )$ 
D)  $\quad 3 x ^ { 2 } \left( 2 + x ^ { 2 } \right)$

Question 8

Multiply the expression as you would multiply polynomials. $$\left( x ^ { 11 / 2 } + y ^ { 15 / 2 } \right) ^ { 2 }$$

Accepted Answer

A)  $\quad x ^ { 11 } + 2 x ^ { 11 / 2 } y ^ { 15 / 2 } + y ^ { 15 }$ 
B)  $\quad x ^ { 11 } + x ^ { 11 } y ^ { 15 } + y ^ { 15 }$ 
C)  $\quad x ^ { 11 } - 2 x ^ { 11 } y ^ { 15 } + y ^ { 15 }$ 
D)  $\quad x ^ { 11 } + y ^ { 15 }$ 
A)  $\quad x ^ { 11 } + 2 x ^ { 11 / 2 } y ^ { 15 / 2 } + y ^ { 15 }$ 
B)  $\quad x ^ { 11 } + x ^ { 11 } y ^ { 15 } + y ^ { 15 }$ 
C)  $\quad x ^ { 11 } - 2 x ^ { 11 } y ^ { 15 } + y ^ { 15 }$ 
D)  $\quad x ^ { 11 } + y ^ { 15 }$

Question 9

Multiply the expression as you would multiply polynomials. $$\left( a ^ { 19 / 2 } + b ^ { 15 / 2 } \right) \left( a ^ { 19 / 2 } - b ^ { 15 / 2 } \right)$$

Accepted Answer

A)  $\quad a ^ { 19 } - b ^ { 15 }$ 
B)  $\quad ( a - b ) ^ { 17 }$
$\begin{array} { l l } \text { c. } & ( a + b ) ^ { 2 } \ \text { d. } & a ^ { 38 } - b ^ { 30 } \end{array}$ 
A)  $\quad a ^ { 19 } - b ^ { 15 }$ 
B)  $\quad ( a - b ) ^ { 17 }$
$\begin{array} { l l } \text { c. } & ( a + b ) ^ { 2 } \ \text { d. } & a ^ { 38 } - b ^ { 30 } \end{array}$

Select the correct representation of the inequality in interval notation. $x \leq 9$

Rationalize the denominator and simplify. $\frac { 3 } { \sqrt [ 5 ] { 3 } }$

Factor the expression completely. $( 4 x - 4 y ) ^ { 3 } + 125$

Factor the expression completely. $22 r ^ { 2 } - 13 r s - 30 s ^ { 2 }$

Perform the division.

Calculate the volume of a box that has dimensions of 4,000 by 8,400 by 5,300 millimeters.

Factor the expression completely. $6 x ^ { 2 } + 3 x ^ { 3 }$

Multiply the expression as you would multiply polynomials. $\left( x ^ { 11 / 2 } + y ^ { 15 / 2 } \right) ^ { 2 }$

Multiply the expression as you would multiply polynomials. $\left( a ^ { 19 / 2 } + b ^ { 15 / 2 } \right) \left( a ^ { 19 / 2 } - b ^ { 15 / 2 } \right)$

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Natural Number Functions and Probability

Filters

Exam 1: A Review of Basic Algebra

Select the correct representation of the inequality in interval notation. x≤9x \leq 9x≤9

Rationalize the denominator and simplify. 335\frac { 3 } { \sqrt [ 5 ] { 3 } }53​3​

Factor the expression completely. (4x−4y)3+125( 4 x - 4 y ) ^ { 3 } + 125(4x−4y)3+125

Factor the expression completely. 22r2−13rs−30s222 r ^ { 2 } - 13 r s - 30 s ^ { 2 }22r2−13rs−30s2

Perform the division.

Calculate the volume of a box that has dimensions of 4,000 by 8,400 by 5,300 millimeters.

Factor the expression completely. 6x2+3x36 x ^ { 2 } + 3 x ^ { 3 }6x2+3x3

Multiply the expression as you would multiply polynomials. (x11/2+y15/2)2\left( x ^ { 11 / 2 } + y ^ { 15 / 2 } \right) ^ { 2 }(x11/2+y15/2)2

Multiply the expression as you would multiply polynomials. (a19/2+b15/2)(a19/2−b15/2)\left( a ^ { 19 / 2 } + b ^ { 15 / 2 } \right) \left( a ^ { 19 / 2 } - b ^ { 15 / 2 } \right)(a19/2+b15/2)(a19/2−b15/2)

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Natural Number Functions and Probability

Filters

Select the correct representation of the inequality in interval notation. $x \leq 9$

Rationalize the denominator and simplify. $\frac { 3 } { \sqrt [ 5 ] { 3 } }$

Factor the expression completely. $( 4 x - 4 y ) ^ { 3 } + 125$

Factor the expression completely. $22 r ^ { 2 } - 13 r s - 30 s ^ { 2 }$

Factor the expression completely. $6 x ^ { 2 } + 3 x ^ { 3 }$

Multiply the expression as you would multiply polynomials. $\left( x ^ { 11 / 2 } + y ^ { 15 / 2 } \right) ^ { 2 }$

Multiply the expression as you would multiply polynomials. $\left( a ^ { 19 / 2 } + b ^ { 15 / 2 } \right) \left( a ^ { 19 / 2 } - b ^ { 15 / 2 } \right)$