Question 1

Solve the equation using factoring techniques. 3 n 3 = 48 n

Accepted Answer

A)  n = 4, n = -4, n = 0 
B)  n = 4, n = -4 
C)  n = 4, n = 0 
A)  n = 4, n = -4, n = 0 
B)  n = 4, n = -4 
C)  n = 4, n = 0

Question 2

Domenica and Javier start from the same location at the same time and ride their bicycles in opposite directions for 4 hours, at which time they are 116 miles apart. Domenica rides 3 miles per hour faster than Javier. Find the rate of each rider. __________ miles per hour for Javier. __________ miles per hour for Domenica. Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Domenica and Javier start from the same...

Question 3

Factor the polynomial completely. Indicate if it is not factorable using integers. $16 x ^ { 2 } + 25$

Accepted Answer

The answer of Factor the polynomial completely. Indicate if it...

Question 4

Solve the inequality. $| - 7 x + 49 | \leq 91$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(| - 7 x...

Question 5

Find the quotient and remainder for the division problem. $\left( 6 x ^ { 2 } + 5 x - 4 \right) \div ( 2 x - 1 )$

Accepted Answer

A)  $Q : 3 x - 4$
R: 0 
B)  Q: $3 x - 4$
$\mathrm { R } : - 1$ 
C)  Q: $3 x + 4$
$\mathrm { R } : x$ 
D)  $Q : 3 x + 4$
$\mathrm { R } : 1$ 
E)  $Q : 3 x + 4$
R: 0 
A)  $Q : 3 x - 4$
R: 0 
B)  Q: $3 x - 4$
$\mathrm { R } : - 1$ 
C)  Q: $3 x + 4$
$\mathrm { R } : x$ 
D)  $Q : 3 x + 4$
$\mathrm { R } : 1$ 
E)  $Q : 3 x + 4$
R: 0

Question 6

Find the indicated product. $\left( - 3 a b ^ { 4 } \right) ^ { 2 }$

Accepted Answer

The answer of Find the indicated product. \(\left( - 3...

Question 7

Solve the equation. | 2 $-$ 2 x | = 6 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. | 2 $-$ 2...

Question 8

Find the indicated product. ( 6 x + 1 ) ( 6 x $-$ 1 )

Accepted Answer

The answer of Find the indicated product. ( 6 x...

Question 9

Factor the polynomial completely. Indicate if it is not factorable using integers. $4 n ^ { 3 } + 8 n ^ { 2 } + 12 n$

Accepted Answer

The answer of Factor the polynomial completely. Indicate if it...

Question 10

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement.
-$\left( - 1 , \frac { 14 } { 13 } \right)$

Accepted Answer

A)  $15 x - 14  0$ 
B)  $x + 1 > 0 \text { and } 13 x - 14  13$ 
D)  $15 x - 14  8$ 
A)  $15 x - 14  0$ 
B)  $x + 1 > 0 \text { and } 13 x - 14  13$ 
D)  $15 x - 14  8$

Question 11

Find the quotient. $\frac { 42 x ^ { 7 } y ^ { 8 } } { - 6 x ^ { 2 } y ^ { 4 } }$

Accepted Answer

A)  $- 7 x ^ { 5 } y ^ { 4 }$ 
B)  $36 x ^ { 5 } y ^ { 4 }$ 
C)  $- 7 x ^ { 4 } y ^ { 5 }$ 
D)  $7 x ^ { 5 } y ^ { 4 }$ 
E)  $7 x ^ { 4 } y ^ { 5 }$ 
A)  $- 7 x ^ { 5 } y ^ { 4 }$ 
B)  $36 x ^ { 5 } y ^ { 4 }$ 
C)  $- 7 x ^ { 4 } y ^ { 5 }$ 
D)  $7 x ^ { 5 } y ^ { 4 }$ 
E)  $7 x ^ { 4 } y ^ { 5 }$

Question 12

Find the quotient. $\frac { 6 x ^ { 6 } y ^ { 8 } } { 2 x y ^ { 3 } }$

Accepted Answer

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

Question 13

One leg of a right triangle is 4 meters shorter than the other leg. If the length of the hypotenuse is 20 meters, find the length of each leg.

Accepted Answer

A)  12 meters and 15 meters 
B)  13 meters and 16 meters 
C)  12 meters and 16 meters 
D)  12 meters and 20 meters 
E)  13 meters and 15 meters 
A)  12 meters and 15 meters 
B)  13 meters and 16 meters 
C)  12 meters and 16 meters 
D)  12 meters and 20 meters 
E)  13 meters and 15 meters

Question 14

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 7 \right) \div ( x - 1 )$

Accepted Answer

A)  $\begin{array} { l } 
\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \
\mathrm { R } : - 8
\end{array}$ 
B)  $$Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1$$
$\mathrm { R } : 8$ 
C)  $$\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1$$
$\mathrm { R } : 0$ 
D)  $\begin{array} { l } 
\mathrm { Q } : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1 \
\mathrm { R } : - 8
\end{array}$ 
E)  $$\text { Q: } x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1$$
$\mathrm { R } : 8$ 
A)  $\begin{array} { l } 
\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \
\mathrm { R } : - 8
\end{array}$ 
B)  $$Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1$$
$\mathrm { R } : 8$ 
C)  $$\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1$$
$\mathrm { R } : 0$ 
D)  $\begin{array} { l } 
\mathrm { Q } : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1 \
\mathrm { R } : - 8
\end{array}$ 
E)  $$\text { Q: } x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1$$
$\mathrm { R } : 8$

Question 15

Factor the polynomial completely. $( x + 9 ) ^ { 2 } - y ^ { 2 }$

Accepted Answer

A)  $( x + 9 + y ) ( x - 9 - y )$ 
B)  $( x + 9 - y ) ( x - 9 - y )$ 
C)  $( x + 9 + y ) ( x + 9 - y )$ 
D)  $( x + 9 - y ) ( x + 9 - y )$ 
E)  not factorable 
A)  $( x + 9 + y ) ( x - 9 - y )$ 
B)  $( x + 9 - y ) ( x - 9 - y )$ 
C)  $( x + 9 + y ) ( x + 9 - y )$ 
D)  $( x + 9 - y ) ( x + 9 - y )$ 
E)  not factorable

Question 16

Solve the inequality. | x $-$ 9 | 3

Accepted Answer

A)  $( - \infty , 9 ) \cup ( 9 , \infty )$ 
B)  $( 6,12 )$ 
C)  $( - \infty , 6 ) \cup ( 12 , \infty )$ 
D)  $\phi$ 
A)  $( - \infty , 9 ) \cup ( 9 , \infty )$ 
B)  $( 6,12 )$ 
C)  $( - \infty , 6 ) \cup ( 12 , \infty )$ 
D)  $\phi$

Question 17

Perform the indicated division of the polynomial by the monomial. $\frac { - 36 a ^ { 5 } b ^ { 6 } - 45 a ^ { 4 } b ^ { 3 } + 72 a ^ { 4 } b ^ { 7 } } { 9 a ^ { 4 } b ^ { 2 } }$

Accepted Answer

A)  $- 4 a b ^ { 4 } - 5 b - 8 b ^ { 5 }$ 
B)  $- 4 b ^ { 4 } - 5 a b + 8 b ^ { 5 }$ 
C)  $- 4 b ^ { 4 } - 5 b + 8 b ^ { 5 }$ 
D)  $- 4 a b ^ { 4 } - 5 b - 8 a b ^ { 5 }$ 
E)  $- 4 a b ^ { 4 } - 5 b + 8 b ^ { 5 }$ 
A)  $- 4 a b ^ { 4 } - 5 b - 8 b ^ { 5 }$ 
B)  $- 4 b ^ { 4 } - 5 a b + 8 b ^ { 5 }$ 
C)  $- 4 b ^ { 4 } - 5 b + 8 b ^ { 5 }$ 
D)  $- 4 a b ^ { 4 } - 5 b - 8 a b ^ { 5 }$ 
E)  $- 4 a b ^ { 4 } - 5 b + 8 b ^ { 5 }$

Question 18

Solve each inequality. Match each inequality with the corresponding answer.
-$( - \infty , - 5 ) \cup ( 3 , \infty )$

Accepted Answer

A)  $| x - 9 |  4$ 
A)  $| x - 9 |  4$

Question 19

Solve the equation using factoring techniques. w 2 $-$ 3 w = 10 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation using factoring techniques. w...

Question 20

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - x ^ { 2 } - 2 x + 2 \right) \div ( x - 1 )$

Accepted Answer

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

Solve the equation using factoring techniques. 3 n ³ = 48 n

Factor the polynomial completely. Indicate if it is not factorable using integers. $16 x ^ { 2 } + 25$

Solve the inequality. $| - 7 x + 49 | \leq 91$ Please enter your answer in interval notation.

Find the quotient and remainder for the division problem. $\left( 6 x ^ { 2 } + 5 x - 4 \right) \div ( 2 x - 1 )$

Find the indicated product. $\left( - 3 a b ^ { 4 } \right) ^ { 2 }$

Solve the equation. | 2 $-$ 2 x | = 6 Please enter your answer as two numbers, separated by a comma.

Find the indicated product. ( 6 x + 1 ) ( 6 x $-$ 1 )

Factor the polynomial completely. Indicate if it is not factorable using integers. $4 n ^ { 3 } + 8 n ^ { 2 } + 12 n$

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $\left( - 1 , \frac { 14 } { 13 } \right)$

Find the quotient. $\frac { 42 x ^ { 7 } y ^ { 8 } } { - 6 x ^ { 2 } y ^ { 4 } }$

Find the quotient. $\frac { 6 x ^ { 6 } y ^ { 8 } } { 2 x y ^ { 3 } }$

One leg of a right triangle is 4 meters shorter than the other leg. If the length of the hypotenuse is 20 meters, find the length of each leg.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 7 \right) \div ( x - 1 )$

Factor the polynomial completely. $( x + 9 ) ^ { 2 } - y ^ { 2 }$

Solve the inequality. | x $-$ 9 | 3

Perform the indicated division of the polynomial by the monomial. $\frac { - 36 a ^ { 5 } b ^ { 6 } - 45 a ^ { 4 } b ^ { 3 } + 72 a ^ { 4 } b ^ { 7 } } { 9 a ^ { 4 } b ^ { 2 } }$

Solve each inequality. Match each inequality with the corresponding answer. - $( - \infty , - 5 ) \cup ( 3 , \infty )$

Solve the equation using factoring techniques. w 2 $-$ 3 w = 10 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - x ^ { 2 } - 2 x + 2 \right) \div ( x - 1 )$

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

Solve the equation using factoring techniques. 3 n 3 = 48 n

Factor the polynomial completely. Indicate if it is not factorable using integers. 16x2+2516 x ^ { 2 } + 2516x2+25

Solve the inequality. ∣−7x+49∣≤91| - 7 x + 49 | \leq 91∣−7x+49∣≤91 Please enter your answer in interval notation.

Find the quotient and remainder for the division problem. (6x2+5x−4)÷(2x−1)\left( 6 x ^ { 2 } + 5 x - 4 \right) \div ( 2 x - 1 )(6x2+5x−4)÷(2x−1)

Find the indicated product. (−3ab4)2\left( - 3 a b ^ { 4 } \right) ^ { 2 }(−3ab4)2

Solve the equation. | 2 −-− 2 x | = 6 Please enter your answer as two numbers, separated by a comma.

Find the indicated product. ( 6 x + 1 ) ( 6 x −-− 1 )

Factor the polynomial completely. Indicate if it is not factorable using integers. 4n3+8n2+12n4 n ^ { 3 } + 8 n ^ { 2 } + 12 n4n3+8n2+12n

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - (−1,1413)\left( - 1 , \frac { 14 } { 13 } \right)(−1,1314​)

Find the quotient. 42x7y8−6x2y4\frac { 42 x ^ { 7 } y ^ { 8 } } { - 6 x ^ { 2 } y ^ { 4 } }−6x2y442x7y8​

Find the quotient. 6x6y82xy3\frac { 6 x ^ { 6 } y ^ { 8 } } { 2 x y ^ { 3 } }2xy36x6y8​

One leg of a right triangle is 4 meters shorter than the other leg. If the length of the hypotenuse is 20 meters, find the length of each leg.

Use synthetic division to determine the quotient and remainder for the division problem. (x5+7)÷(x−1)\left( x ^ { 5 } + 7 \right) \div ( x - 1 )(x5+7)÷(x−1)

Factor the polynomial completely. (x+9)2−y2( x + 9 ) ^ { 2 } - y ^ { 2 }(x+9)2−y2

Solve the inequality. | x −-− 9 | 3

Perform the indicated division of the polynomial by the monomial. −36a5b6−45a4b3+72a4b79a4b2\frac { - 36 a ^ { 5 } b ^ { 6 } - 45 a ^ { 4 } b ^ { 3 } + 72 a ^ { 4 } b ^ { 7 } } { 9 a ^ { 4 } b ^ { 2 } }9a4b2−36a5b6−45a4b3+72a4b7​

Solve each inequality. Match each inequality with the corresponding answer. - (−∞,−5)∪(3,∞)( - \infty , - 5 ) \cup ( 3 , \infty )(−∞,−5)∪(3,∞)

Solve the equation using factoring techniques. w 2 −-− 3 w = 10 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. (x3−x2−2x+2)÷(x−1)\left( x ^ { 3 } - x ^ { 2 } - 2 x + 2 \right) \div ( x - 1 )(x3−x2−2x+2)÷(x−1)

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

Solve the equation using factoring techniques. 3 n ³ = 48 n

Factor the polynomial completely. Indicate if it is not factorable using integers. $16 x ^ { 2 } + 25$

Solve the inequality. $| - 7 x + 49 | \leq 91$ Please enter your answer in interval notation.

Find the quotient and remainder for the division problem. $\left( 6 x ^ { 2 } + 5 x - 4 \right) \div ( 2 x - 1 )$

Find the indicated product. $\left( - 3 a b ^ { 4 } \right) ^ { 2 }$

Solve the equation. | 2 $-$ 2 x | = 6 Please enter your answer as two numbers, separated by a comma.

Find the indicated product. ( 6 x + 1 ) ( 6 x $-$ 1 )

Factor the polynomial completely. Indicate if it is not factorable using integers. $4 n ^ { 3 } + 8 n ^ { 2 } + 12 n$

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $\left( - 1 , \frac { 14 } { 13 } \right)$

Find the quotient. $\frac { 42 x ^ { 7 } y ^ { 8 } } { - 6 x ^ { 2 } y ^ { 4 } }$

Find the quotient. $\frac { 6 x ^ { 6 } y ^ { 8 } } { 2 x y ^ { 3 } }$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 7 \right) \div ( x - 1 )$

Factor the polynomial completely. $( x + 9 ) ^ { 2 } - y ^ { 2 }$

Solve the inequality. | x $-$ 9 | 3

Perform the indicated division of the polynomial by the monomial. $\frac { - 36 a ^ { 5 } b ^ { 6 } - 45 a ^ { 4 } b ^ { 3 } + 72 a ^ { 4 } b ^ { 7 } } { 9 a ^ { 4 } b ^ { 2 } }$

Solve each inequality. Match each inequality with the corresponding answer. - $( - \infty , - 5 ) \cup ( 3 , \infty )$

Solve the equation using factoring techniques. w 2 $-$ 3 w = 10 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - x ^ { 2 } - 2 x + 2 \right) \div ( x - 1 )$