Question 1

To simplify a power of a quotient, subtract the exponents.

Accepted Answer

A) True 
 B)False

Question 2

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 2 x ^ { 2 } - 2 x + 4 \right) \div ( x - 2 )$

Accepted Answer

A)  $Q : x ^ { 2 } - 2$
$\mathrm { R } : - 1$ 
B)  $\mathrm { Q } : x ^ { 2 } - 2$
R: 0 
C)  $Q : x ^ { 2 } - 2$
$\mathrm { R } : 1$ 
D)  $\mathrm { Q } : x ^ { 2 } + 2$
R: 0 
E)  $\mathrm { Q } : x ^ { 2 } + 2$
$\mathrm { R } : 1$ 
A)  $Q : x ^ { 2 } - 2$
$\mathrm { R } : - 1$ 
B)  $\mathrm { Q } : x ^ { 2 } - 2$
R: 0 
C)  $Q : x ^ { 2 } - 2$
$\mathrm { R } : 1$ 
D)  $\mathrm { Q } : x ^ { 2 } + 2$
R: 0 
E)  $\mathrm { Q } : x ^ { 2 } + 2$
$\mathrm { R } : 1$

Question 3

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 3 x ^ { 4 } + 16 x ^ { 3 } - 4 x ^ { 2 } + 39 x - 23 \right) \div ( x + 6 )$

Accepted Answer

The answer of Use synthetic division to determine the quotient...

Question 4

Solve the inequality. $| 4 x + 12 | \geq 52$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(| 4 x +...

Question 5

Use Pascal s triangle to help expand the expression. $( x - y ) ^ { 4 }$

Accepted Answer

A)  $x ^ { 4 } + 3 x ^ { 3 } y + 5 x ^ { 2 } y ^ { 2 } + 3 x y ^ { 3 } + y ^ { 4 }$ 
B)  $x ^ { 4 } - 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 3 } + y ^ { 4 }$ 
C)  $x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }$ 
D)  $x ^ { 4 } - 3 x ^ { 3 } y + 5 x ^ { 2 } y ^ { 2 } - 3 x y ^ { 3 } + y ^ { 4 }$ 
E)  $x ^ { 4 } - 4 x ^ { 3 } y - 6 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 3 } + y ^ { 4 }$ 
A)  $x ^ { 4 } + 3 x ^ { 3 } y + 5 x ^ { 2 } y ^ { 2 } + 3 x y ^ { 3 } + y ^ { 4 }$ 
B)  $x ^ { 4 } - 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 3 } + y ^ { 4 }$ 
C)  $x ^ { 4 } + 4 x ^ { 3 } y + 6 x ^ { 2 } y ^ { 2 } + 4 x y ^ { 3 } + y ^ { 4 }$ 
D)  $x ^ { 4 } - 3 x ^ { 3 } y + 5 x ^ { 2 } y ^ { 2 } - 3 x y ^ { 3 } + y ^ { 4 }$ 
E)  $x ^ { 4 } - 4 x ^ { 3 } y - 6 x ^ { 2 } y ^ { 2 } - 4 x y ^ { 3 } + y ^ { 4 }$

Question 6

The Ortegas have an apple orchard that contains 75 trees. The number of trees in each row is 5 more than twice the number of rows. Find the number of rows and the number of trees per row. Please enter your answer as two numbers, separated by a comma, without the units.

Accepted Answer

The answer of The Ortegas have an apple orchard that...

Question 7

Solve the inequality. $| - 3 x + 9 | \leq 24$

Accepted Answer

A)  $[ - 5,3 ) \cup ( 3,11 ]$ 
B)  $( - \infty , - 5 ] \cup [ 11 , \infty )$ 
C)  $-$ 5, 11 
D)  $\phi$ 
A)  $[ - 5,3 ) \cup ( 3,11 ]$ 
B)  $( - \infty , - 5 ] \cup [ 11 , \infty )$ 
C)  $-$ 5, 11 
D)  $\phi$

Question 8

Solve the equation. $- 2 ( 3 x - 1 ) - 3 ( 2 x + 5 ) = - 5 ( 2 x - 8 )$

Accepted Answer

A)  $\left\{ - \frac { 53 } { 2 } \right\}$ 
B)  $\left\{ \frac { 53 } { 2 } \right\}$ 
C)  $\left\{ - \frac { 49 } { 2 } \right\}$ 
D)  $\left\{ \frac { 49 } { 2 } \right\}$ 
E)  $\varnothing$ 
A)  $\left\{ - \frac { 53 } { 2 } \right\}$ 
B)  $\left\{ \frac { 53 } { 2 } \right\}$ 
C)  $\left\{ - \frac { 49 } { 2 } \right\}$ 
D)  $\left\{ \frac { 49 } { 2 } \right\}$ 
E)  $\varnothing$

Question 9

Find the indicated product. Assume all variables that appear as exponents represent positive integers. ( x 4 a $-$ 3 ) ( x 4 a + 3 )

Accepted Answer

The answer of Find the indicated product. Assume all variables...

Question 10

Solve the compound inequality and graph the solution sets. $3 x + 2  1$

Accepted Answer

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

Question 11

Solve the equation. $8 - 3 x = 7 + 3 x$

Accepted Answer

The answer of Solve the equation. \(8 - 3 x...

Question 12

The perimeter of a rectangle is 32 inches and the area is 63 square inches. Find the length and width of the rectangle. Please enter your answer as two numbers, separated by a comma, without the units.

Accepted Answer

The answer of The perimeter of a rectangle is 32...

Question 13

Factor the polynomial completely. $x ^ { 3 } - 8$

Accepted Answer

A)  $( x - 2 ) \left( x ^ { 2 } + 2 x + 4 \right)$ 
B)  $( x - 2 ) \left( x ^ { 2 } + 4 x + 4 \right)$ 
C)  $( x + 2 ) \left( x ^ { 2 } - 2 x + 4 \right)$ 
D)  $( x - 2 ) \left( x ^ { 2 } - 2 x + 4 \right)$ 
E)  not factorable 
A)  $( x - 2 ) \left( x ^ { 2 } + 2 x + 4 \right)$ 
B)  $( x - 2 ) \left( x ^ { 2 } + 4 x + 4 \right)$ 
C)  $( x + 2 ) \left( x ^ { 2 } - 2 x + 4 \right)$ 
D)  $( x - 2 ) \left( x ^ { 2 } - 2 x + 4 \right)$ 
E)  not factorable

Question 14

Solve the inequality. | x | > 2 Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. | x | >...

Question 15

Solve the equation. $8 ( 2 x + 5 ) = 7 ( 3 x - 2 )$

Accepted Answer

The answer of Solve the equation. \(8 ( 2 x...

Question 16

Find the indicated product. ( x + 4 ) ( x $-$ 5 ) ( x $-$ 6 )

Accepted Answer

The answer of Find the indicated product. ( x +...

Question 17

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 1 \right) \div ( x + 1 )$

Accepted Answer

A)  $$Q : x ^ { 4 } + x ^ { 3 } - x ^ { 2 } + x - 1$$
$\mathrm { R } : 0$ 
B)  $$Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1$$
$\mathrm { R } : 0$ 
C)  $$Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1$$
$\mathrm { R } : 1$ 
D)  $\begin{array} { l } 
\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \
\mathrm { R } : - 1
\end{array}$ 
E)  $$\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1$$
$\mathrm { R } : 0$ 
A)  $$Q : x ^ { 4 } + x ^ { 3 } - x ^ { 2 } + x - 1$$
$\mathrm { R } : 0$ 
B)  $$Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1$$
$\mathrm { R } : 0$ 
C)  $$Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1$$
$\mathrm { R } : 1$ 
D)  $\begin{array} { l } 
\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \
\mathrm { R } : - 1
\end{array}$ 
E)  $$\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1$$
$\mathrm { R } : 0$

Question 18

Solve the inequality. $\left| \frac { 6 x - 42 } { 6 } \right| > 5$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(\left| \frac { 6...

Question 19

The polynomial $a x + b x - a y - b y$ cannot be factored by grouping.

Accepted Answer

A) True 
 B)False

Question 20

Raise the monomial to the indicated power. $- ( 3 a b ) ^ { 2 }$

Accepted Answer

A)  $- 6 a ^ { 3 } b ^ { 3 }$ 
B)  $9 a ^ { 3 } b ^ { 3 }$ 
C)  $- 9 a ^ { 2 } b ^ { 2 }$ 
D)  $- 9 a ^ { 3 } b ^ { 3 }$ 
E)  $6 a ^ { 2 } b ^ { 2 }$ 
A)  $- 6 a ^ { 3 } b ^ { 3 }$ 
B)  $9 a ^ { 3 } b ^ { 3 }$ 
C)  $- 9 a ^ { 2 } b ^ { 2 }$ 
D)  $- 9 a ^ { 3 } b ^ { 3 }$ 
E)  $6 a ^ { 2 } b ^ { 2 }$

To simplify a power of a quotient, subtract the exponents.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 2 x ^ { 2 } - 2 x + 4 \right) \div ( x - 2 )$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 3 x ^ { 4 } + 16 x ^ { 3 } - 4 x ^ { 2 } + 39 x - 23 \right) \div ( x + 6 )$

Solve the inequality. $| 4 x + 12 | \geq 52$ Please enter your answer in interval notation.

Use Pascal s triangle to help expand the expression. $( x - y ) ^ { 4 }$

The Ortegas have an apple orchard that contains 75 trees. The number of trees in each row is 5 more than twice the number of rows. Find the number of rows and the number of trees per row. Please enter your answer as two numbers, separated by a comma, without the units.

Solve the inequality. $| - 3 x + 9 | \leq 24$

Solve the equation. $- 2 ( 3 x - 1 ) - 3 ( 2 x + 5 ) = - 5 ( 2 x - 8 )$

Find the indicated product. Assume all variables that appear as exponents represent positive integers. ( x 4 a $-$ 3 ) ( x 4 a + 3 )

Solve the compound inequality and graph the solution sets. $3 x + 2 < - 1 \text { or } 3 x + 2 > 1$

Solve the equation. $8 - 3 x = 7 + 3 x$

The perimeter of a rectangle is 32 inches and the area is 63 square inches. Find the length and width of the rectangle. Please enter your answer as two numbers, separated by a comma, without the units.

Factor the polynomial completely. $x ^ { 3 } - 8$

Solve the inequality. | x | > 2 Please enter your answer in interval notation.

Solve the equation. $8 ( 2 x + 5 ) = 7 ( 3 x - 2 )$

Find the indicated product. ( x + 4 ) ( x $-$ 5 ) ( x $-$ 6 )

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 1 \right) \div ( x + 1 )$

Solve the inequality. $\left| \frac { 6 x - 42 } { 6 } \right| > 5$ Please enter your answer in interval notation.

The polynomial $a x + b x - a y - b y$ cannot be factored by grouping.

Raise the monomial to the indicated power. $- ( 3 a b ) ^ { 2 }$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 8: A Transition From Elementary Algebra to Intermediate Algebra

To simplify a power of a quotient, subtract the exponents.

Use synthetic division to determine the quotient and remainder for the division problem. (x3−2x2−2x+4)÷(x−2)\left( x ^ { 3 } - 2 x ^ { 2 } - 2 x + 4 \right) \div ( x - 2 )(x3−2x2−2x+4)÷(x−2)

Use synthetic division to determine the quotient and remainder for the division problem. (3x4+16x3−4x2+39x−23)÷(x+6)\left( 3 x ^ { 4 } + 16 x ^ { 3 } - 4 x ^ { 2 } + 39 x - 23 \right) \div ( x + 6 )(3x4+16x3−4x2+39x−23)÷(x+6)

Solve the inequality. ∣4x+12∣≥52| 4 x + 12 | \geq 52∣4x+12∣≥52 Please enter your answer in interval notation.

Use Pascal s triangle to help expand the expression. (x−y)4( x - y ) ^ { 4 }(x−y)4

The Ortegas have an apple orchard that contains 75 trees. The number of trees in each row is 5 more than twice the number of rows. Find the number of rows and the number of trees per row. Please enter your answer as two numbers, separated by a comma, without the units.

Solve the inequality. ∣−3x+9∣≤24| - 3 x + 9 | \leq 24∣−3x+9∣≤24

Solve the equation. −2(3x−1)−3(2x+5)=−5(2x−8)- 2 ( 3 x - 1 ) - 3 ( 2 x + 5 ) = - 5 ( 2 x - 8 )−2(3x−1)−3(2x+5)=−5(2x−8)

Find the indicated product. Assume all variables that appear as exponents represent positive integers. ( x 4 a −-− 3 ) ( x 4 a + 3 )

Solve the compound inequality and graph the solution sets. 3x+2<−1 or 3x+2>13 x + 2 < - 1 \text { or } 3 x + 2 > 13x+2<−1 or 3x+2>1

Solve the equation. 8−3x=7+3x8 - 3 x = 7 + 3 x8−3x=7+3x

The perimeter of a rectangle is 32 inches and the area is 63 square inches. Find the length and width of the rectangle. Please enter your answer as two numbers, separated by a comma, without the units.

Factor the polynomial completely. x3−8x ^ { 3 } - 8x3−8

Solve the inequality. | x | > 2 Please enter your answer in interval notation.

Solve the equation. 8(2x+5)=7(3x−2)8 ( 2 x + 5 ) = 7 ( 3 x - 2 )8(2x+5)=7(3x−2)

Find the indicated product. ( x + 4 ) ( x −-− 5 ) ( x −-− 6 )

Use synthetic division to determine the quotient and remainder for the division problem. (x5+1)÷(x+1)\left( x ^ { 5 } + 1 \right) \div ( x + 1 )(x5+1)÷(x+1)

Solve the inequality. ∣6x−426∣>5\left| \frac { 6 x - 42 } { 6 } \right| > 5​66x−42​​>5 Please enter your answer in interval notation.

The polynomial ax+bx−ay−bya x + b x - a y - b yax+bx−ay−by cannot be factored by grouping.

Raise the monomial to the indicated power. −(3ab)2- ( 3 a b ) ^ { 2 }−(3ab)2

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 2 x ^ { 2 } - 2 x + 4 \right) \div ( x - 2 )$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 3 x ^ { 4 } + 16 x ^ { 3 } - 4 x ^ { 2 } + 39 x - 23 \right) \div ( x + 6 )$

Solve the inequality. $| 4 x + 12 | \geq 52$ Please enter your answer in interval notation.

Use Pascal s triangle to help expand the expression. $( x - y ) ^ { 4 }$

Solve the inequality. $| - 3 x + 9 | \leq 24$

Solve the equation. $- 2 ( 3 x - 1 ) - 3 ( 2 x + 5 ) = - 5 ( 2 x - 8 )$

Find the indicated product. Assume all variables that appear as exponents represent positive integers. ( x 4 a $-$ 3 ) ( x 4 a + 3 )

Solve the compound inequality and graph the solution sets. $3 x + 2 < - 1 \text { or } 3 x + 2 > 1$

Solve the equation. $8 - 3 x = 7 + 3 x$

Factor the polynomial completely. $x ^ { 3 } - 8$

Solve the equation. $8 ( 2 x + 5 ) = 7 ( 3 x - 2 )$

Find the indicated product. ( x + 4 ) ( x $-$ 5 ) ( x $-$ 6 )

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 1 \right) \div ( x + 1 )$

Solve the inequality. $\left| \frac { 6 x - 42 } { 6 } \right| > 5$ Please enter your answer in interval notation.

The polynomial $a x + b x - a y - b y$ cannot be factored by grouping.

Raise the monomial to the indicated power. $- ( 3 a b ) ^ { 2 }$