Question 1

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

Accepted Answer

A)  $36 x ^ { 2 } - 1$ 
B)  $1 + 36 x ^ { 2 }$ 
C)  $1 - 12 x - 36 x ^ { 2 }$ 
D)  $1 + 12 x - 36 x ^ { 2 }$ 
E)  $1 - 36 x ^ { 2 }$ 
A)  $36 x ^ { 2 } - 1$ 
B)  $1 + 36 x ^ { 2 }$ 
C)  $1 - 12 x - 36 x ^ { 2 }$ 
D)  $1 + 12 x - 36 x ^ { 2 }$ 
E)  $1 - 36 x ^ { 2 }$

Question 2

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

Accepted Answer

A)  $3 x ^ { 6 } y ^ { 6 }$ 
B)  $- 3 x ^ { 7 } y ^ { 7 }$ 
C)  $- 3 x ^ { 6 } y ^ { 6 }$ 
D)  $3 x ^ { 7 } y ^ { 7 }$ 
E)  $- 3 x ^ { 6 } y ^ { 7 }$ 
A)  $3 x ^ { 6 } y ^ { 6 }$ 
B)  $- 3 x ^ { 7 } y ^ { 7 }$ 
C)  $- 3 x ^ { 6 } y ^ { 6 }$ 
D)  $3 x ^ { 7 } y ^ { 7 }$ 
E)  $- 3 x ^ { 6 } y ^ { 7 }$

Question 3

Find the indicated product. $( x - 1 ) ( x + 5 ) ( x - 8 )$

Accepted Answer

A)  $x ^ { 3 } + 4 x ^ { 2 } - 37 x + 40$ 
B)  $x ^ { 3 } + 4 x ^ { 2 } - 37 x - 40$ 
C)  $x ^ { 3 } - 4 x ^ { 2 } + 37 x - 40$ 
D)  $x ^ { 3 } - 4 x ^ { 2 } - 37 x - 40$ 
E)  $x ^ { 3 } - 4 x ^ { 2 } - 37 x + 40$ 
A)  $x ^ { 3 } + 4 x ^ { 2 } - 37 x + 40$ 
B)  $x ^ { 3 } + 4 x ^ { 2 } - 37 x - 40$ 
C)  $x ^ { 3 } - 4 x ^ { 2 } + 37 x - 40$ 
D)  $x ^ { 3 } - 4 x ^ { 2 } - 37 x - 40$ 
E)  $x ^ { 3 } - 4 x ^ { 2 } - 37 x + 40$

Question 4

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )$

Accepted Answer

A)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14$$
$\mathrm { R } : 13$ 
B)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14$$
$\mathrm { R } : 0$ 
C)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14$$
$\mathrm { R } : 13$ 
D)  $\begin{array} { l } 
\mathrm { Q } : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14 \
\mathrm { R } : - 13
\end{array}$ 
E)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14$$
$\mathrm { R } : 0$ 
A)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14$$
$\mathrm { R } : 13$ 
B)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14$$
$\mathrm { R } : 0$ 
C)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14$$
$\mathrm { R } : 13$ 
D)  $\begin{array} { l } 
\mathrm { Q } : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14 \
\mathrm { R } : - 13
\end{array}$ 
E)  $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14$$
$\mathrm { R } : 0$

Question 5

The combined area of a square and a rectangle is 133 square centimeters. The width of the rectangle is 4 centimeters more than the length of a side of the square, and the length of the rectangle is 3 centimeters more than its width. Find the dimensions of the square and the rectangle. Please enter your answer as three numbers (the side of the square, the length of the rectangle, and the width of the rectangle), separated by commas, without the units.

Accepted Answer

The answer of The combined area of a square and...

Question 6

Solve the equation using factoring techniques. 3 t 2 + 17 t $-$ 6 = 0

Accepted Answer

A)  $t = \frac { 1 } { 3 } , t = - 6$ 
B)  $t = \frac { 1 } { 3 } , t = 6$ 
C)  $t = - \frac { 1 } { 3 } , t = 6$ 
A)  $t = \frac { 1 } { 3 } , t = - 6$ 
B)  $t = \frac { 1 } { 3 } , t = 6$ 
C)  $t = - \frac { 1 } { 3 } , t = 6$

Question 7

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 3 } - 5 x ^ { 2 } - 7 x + 9 \right) \div ( x - 2 )$

Accepted Answer

A)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 2 } - x - 9 \
\text { R: } - 9
\end{array}$ 
B)  Q: $2 x ^ { 2 } - x + 9$
$\mathrm { R } : 0$ 
C)  $Q : 2 x ^ { 2 } + x - 9$
$\mathrm { R } : 0$ 
D)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 2 } + x - 9 \
\text { R: } - 9
\end{array}$ 
E)  $Q : 2 x ^ { 2 } + x - 9$
R: 9 
A)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 2 } - x - 9 \
\text { R: } - 9
\end{array}$ 
B)  Q: $2 x ^ { 2 } - x + 9$
$\mathrm { R } : 0$ 
C)  $Q : 2 x ^ { 2 } + x - 9$
$\mathrm { R } : 0$ 
D)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 2 } + x - 9 \
\text { R: } - 9
\end{array}$ 
E)  $Q : 2 x ^ { 2 } + x - 9$
R: 9

Question 8

Solve the inequality. $| x - 2 | - 7 \geq 6$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(| x - 2...

Question 9

The ratio of male students to female students at a certain university is 5 to 7. If there is a total of 15,840 students, find the number of male and the number of female students.

Accepted Answer

A)  6,700 males and 9,140 females 
B)  6,700 males and 9,040 females 
C)  6,800 males and 9,040 females 
D)  6,600 males and 9,240 females 
E)  9,240 males and 6,600 females 
A)  6,700 males and 9,140 females 
B)  6,700 males and 9,040 females 
C)  6,800 males and 9,040 females 
D)  6,600 males and 9,240 females 
E)  9,240 males and 6,600 females

Question 10

Solve the inequality and express the solution set using interval notation. $- 6 ( 6 x + 5 ) - 5 ( 7 x + 4 ) \geq 0$

Accepted Answer

A)  $\left( - \infty , - \frac { 50 } { 71 } \right)$ 
B)  $\left( - \frac { 50 } { 71 } , + \infty \right)$ 
C)  $\left( - \infty , - \frac { 50 } { 71 } \right]$ 
D)  $\left( - \frac { 50 } { 71 } , + \infty \right]$ 
A)  $\left( - \infty , - \frac { 50 } { 71 } \right)$ 
B)  $\left( - \frac { 50 } { 71 } , + \infty \right)$ 
C)  $\left( - \infty , - \frac { 50 } { 71 } \right]$ 
D)  $\left( - \frac { 50 } { 71 } , + \infty \right]$

Question 11

Solve the inequality. $| x + 1 | \leq 12$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(| x + 1...

Question 12

Solve the inequality by inspection. | 4 x $-$ 20 | $-$ 32

Accepted Answer

A)  $( - 13,5 ) \cup ( 5,13 )$ 
B)  (3, 13) 
C)  $( - \infty , 3 ) \cup ( 13 , \infty )$ 
D)  $\phi$ 
A)  $( - 13,5 ) \cup ( 5,13 )$ 
B)  (3, 13) 
C)  $( - \infty , 3 ) \cup ( 13 , \infty )$ 
D)  $\phi$

Question 13

Solve the inequality. $| x | \leq 2$

Accepted Answer

A)  $[ 2 , \infty )$ 
B)  $( - \infty , 2 ]$ 
C)  $-$ 2, 2 
D)  $\phi$ 
A)  $[ 2 , \infty )$ 
B)  $( - \infty , 2 ]$ 
C)  $-$ 2, 2 
D)  $\phi$

Question 14

Solve the equation using factoring techniques. 3 t ( t $-$ 7 ) = 0 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation using factoring techniques. 3...

Question 15

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

Accepted Answer

The answer of Find the indicated product. \(\left( x ^...

Question 16

To check a division problem multiply the divisor time the quotient and add the remainder.

Accepted Answer

A) True 
 B)False

Question 17

Solve the equation using factoring techniques. 5 t ( t $-$ 6 ) = 0

Accepted Answer

A)  t = 0, t = 5 
B)  t = 0, t = 6 
C)  t = 5, t = 6 
A)  t = 0, t = 5 
B)  t = 0, t = 6 
C)  t = 5, t = 6

Question 18

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 5 y - 2 \right) \div \left( y ^ { 2 } - y \right)$

Accepted Answer

A)  $Q : 2 y - 1$
$$\mathrm { R } : - 3 y - 1$$ 
B)  Q: $2 y - 1$
R: 0 
C)  $Q : - 6 y - 2$
$\mathrm { R } : 2 y - 1$ 
D)  $\begin{array} { l } 
\mathrm { Q } : 2 y - 1 \
\mathrm { R } : - 6 y - 2
\end{array}$ 
E)  $Q : - 6 y - 2$
R: 0 
A)  $Q : 2 y - 1$
$$\mathrm { R } : - 3 y - 1$$ 
B)  Q: $2 y - 1$
R: 0 
C)  $Q : - 6 y - 2$
$\mathrm { R } : 2 y - 1$ 
D)  $\begin{array} { l } 
\mathrm { Q } : 2 y - 1 \
\mathrm { R } : - 6 y - 2
\end{array}$ 
E)  $Q : - 6 y - 2$
R: 0

Question 19

Solve the inequality and express the solution set using interval notation. $0.1 x + 0.05 ( x + 400 ) > 38$

Accepted Answer

A)  $( - \infty , 120 )$ 
B)  $( 120 , \infty )$ 
C)  $( - \infty , 120 ]$ 
D)  $[ 120 , \infty )$ 
E)  $[ 120 , \infty ]$ 
A)  $( - \infty , 120 )$ 
B)  $( 120 , \infty )$ 
C)  $( - \infty , 120 ]$ 
D)  $[ 120 , \infty )$ 
E)  $[ 120 , \infty ]$

Question 20

Solve the equation. | 48 $-$ 8 x | = 8

Accepted Answer

A)  x = 5 
B)  x = $-$ 5, x = $-$ 7 
C)  x = 7 
D)  x = 5, x = 7 
A)  x = 5 
B)  x = $-$ 5, x = $-$ 7 
C)  x = 7 
D)  x = 5, x = 7

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

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

Find the indicated product. $( x - 1 ) ( x + 5 ) ( x - 8 )$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )$

Solve the equation using factoring techniques. 3 t 2 + 17 t $-$ 6 = 0

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 3 } - 5 x ^ { 2 } - 7 x + 9 \right) \div ( x - 2 )$

Solve the inequality. $| x - 2 | - 7 \geq 6$ Please enter your answer in interval notation.

The ratio of male students to female students at a certain university is 5 to 7. If there is a total of 15,840 students, find the number of male and the number of female students.

Solve the inequality and express the solution set using interval notation. $- 6 ( 6 x + 5 ) - 5 ( 7 x + 4 ) \geq 0$

Solve the inequality. $| x + 1 | \leq 12$ Please enter your answer in interval notation.

Solve the inequality by inspection. | 4 x $-$ 20 | $-$ 32

Solve the inequality. $| x | \leq 2$

Solve the equation using factoring techniques. 3 t ( t $-$ 7 ) = 0 Please enter your answer as two numbers, separated by a comma.

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

To check a division problem multiply the divisor time the quotient and add the remainder.

Solve the equation using factoring techniques. 5 t ( t $-$ 6 ) = 0

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 5 y - 2 \right) \div \left( y ^ { 2 } - y \right)$

Solve the inequality and express the solution set using interval notation. $0.1 x + 0.05 ( x + 400 ) > 38$

Solve the equation. | 48 $-$ 8 x | = 8

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

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

Find the indicated product. (x2y)(−3xy2)(x4y4)\left( x ^ { 2 } y \right) \left( - 3 x y ^ { 2 } \right) \left( x ^ { 4 } y ^ { 4 } \right)(x2y)(−3xy2)(x4y4)

Find the indicated product. (x−1)(x+5)(x−8)( x - 1 ) ( x + 5 ) ( x - 8 )(x−1)(x+5)(x−8)

Use synthetic division to determine the quotient and remainder for the division problem. (4x4−x3+2x2−7x−1)÷(x+1)\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )(4x4−x3+2x2−7x−1)÷(x+1)

Solve the equation using factoring techniques. 3 t 2 + 17 t −-− 6 = 0

Use synthetic division to determine the quotient and remainder for the division problem. (2x3−5x2−7x+9)÷(x−2)\left( 2 x ^ { 3 } - 5 x ^ { 2 } - 7 x + 9 \right) \div ( x - 2 )(2x3−5x2−7x+9)÷(x−2)

Solve the inequality. ∣x−2∣−7≥6| x - 2 | - 7 \geq 6∣x−2∣−7≥6 Please enter your answer in interval notation.

The ratio of male students to female students at a certain university is 5 to 7. If there is a total of 15,840 students, find the number of male and the number of female students.

Solve the inequality and express the solution set using interval notation. −6(6x+5)−5(7x+4)≥0- 6 ( 6 x + 5 ) - 5 ( 7 x + 4 ) \geq 0−6(6x+5)−5(7x+4)≥0

Solve the inequality. ∣x+1∣≤12| x + 1 | \leq 12∣x+1∣≤12 Please enter your answer in interval notation.

Solve the inequality by inspection. | 4 x −-− 20 | −-− 32

Solve the inequality. ∣x∣≤2| x | \leq 2∣x∣≤2

Solve the equation using factoring techniques. 3 t ( t −-− 7 ) = 0 Please enter your answer as two numbers, separated by a comma.

Find the indicated product. (x2y)(−3xy2)(x4y4)\left( x ^ { 2 } y \right) \left( - 3 x y ^ { 2 } \right) \left( x ^ { 4 } y ^ { 4 } \right)(x2y)(−3xy2)(x4y4)

To check a division problem multiply the divisor time the quotient and add the remainder.

Solve the equation using factoring techniques. 5 t ( t −-− 6 ) = 0

Find the quotient and remainder for the division problem. (2y3−3y2−5y−2)÷(y2−y)\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 5 y - 2 \right) \div \left( y ^ { 2 } - y \right)(2y3−3y2−5y−2)÷(y2−y)

Solve the inequality and express the solution set using interval notation. 0.1x+0.05(x+400)>380.1 x + 0.05 ( x + 400 ) > 380.1x+0.05(x+400)>38

Solve the equation. | 48 −-− 8 x | = 8

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

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

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

Find the indicated product. $( x - 1 ) ( x + 5 ) ( x - 8 )$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )$

Solve the equation using factoring techniques. 3 t 2 + 17 t $-$ 6 = 0

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 3 } - 5 x ^ { 2 } - 7 x + 9 \right) \div ( x - 2 )$

Solve the inequality. $| x - 2 | - 7 \geq 6$ Please enter your answer in interval notation.

Solve the inequality and express the solution set using interval notation. $- 6 ( 6 x + 5 ) - 5 ( 7 x + 4 ) \geq 0$

Solve the inequality. $| x + 1 | \leq 12$ Please enter your answer in interval notation.

Solve the inequality by inspection. | 4 x $-$ 20 | $-$ 32

Solve the inequality. $| x | \leq 2$

Solve the equation using factoring techniques. 3 t ( t $-$ 7 ) = 0 Please enter your answer as two numbers, separated by a comma.

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

Solve the equation using factoring techniques. 5 t ( t $-$ 6 ) = 0

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 5 y - 2 \right) \div \left( y ^ { 2 } - y \right)$

Solve the inequality and express the solution set using interval notation. $0.1 x + 0.05 ( x + 400 ) > 38$

Solve the equation. | 48 $-$ 8 x | = 8