Question 1

Solve the inequality. $| 9 x + 18 | \leq 27$

Accepted Answer

A)  $( - \infty , 1 ] \cup [ 5 , \infty )$ 
B)  $[ - 5,2 ) \cup ( 2,5 ]$ 
C)  $-$ 5, 1 
D)  $\phi$ 
A)  $( - \infty , 1 ] \cup [ 5 , \infty )$ 
B)  $[ - 5,2 ) \cup ( 2,5 ]$ 
C)  $-$ 5, 1 
D)  $\phi$

Question 2

Find the indicated product. ( 7 x $-$ 3 ) ( x 2 + 7 x + 11 )

Accepted Answer

The answer of Find the indicated product. ( 7 x...

Question 3

Solve the inequality and express the solution set using interval notation. $4 ( x - 6 ) \leq - 8 ( x + 6 )$

Accepted Answer

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

Question 4

Find the product. $\left( \frac { 6 } { 7 } x ^ { 4 } y ^ { 6 } \right) \left( - x ^ { 2 } y \right)$

Accepted Answer

The answer of Find the product. \(\left( \frac { 6...

Question 5

Solve each equation using factoring techniques. Match each equation with the corresponding solution set.
-$x = - 11 , x = - 15$

Accepted Answer

A)  $x ^ { 2 } + 26 x + 165 = 0$ 
B)  $x ^ { 2 } + 14 x + 48 = 0$ 
C)  $x ^ { 2 } + 18 x + 65 = 0$ 
A)  $x ^ { 2 } + 26 x + 165 = 0$ 
B)  $x ^ { 2 } + 14 x + 48 = 0$ 
C)  $x ^ { 2 } + 18 x + 65 = 0$

Question 6

Factor the polynomial completely. Indicate if it is not factorable using integers. $49 a ^ { 2 } - 70 a + 25$

Accepted Answer

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

Question 7

One leg of a right triangle is 7 meters longer than the other leg. If the length of the hypotenuse is 13 meters, find the length of each leg. The length of shorter leg is __________ meters. The length of longer leg is __________ meters. Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of One leg of a right triangle is...

Question 8

Since multiplication is commutative, the product $( x + 8 ) ( x - 8 )$ is the same as the product $( x - 8 ) ( x + 8 )$ .

Accepted Answer

A) True 
 B)False

Question 9

The sum of a cube is not factorable.

Accepted Answer

A) True 
 B)False

Question 10

Perform the indicated division of the polynomial by the monomial. $\frac { - 18 a ^ { 3 } b ^ { 6 } - 27 a ^ { 2 } b ^ { 5 } + 72 a ^ { 2 } b ^ { 7 } } { 9 a ^ { 2 } b ^ { 4 } }$

Accepted Answer

The answer of Perform the indicated division of the polynomial...

Question 11

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

Accepted Answer

A)  $\left\{ - \frac { 1 } { 5 } \right\}$ 
B)  $\left\{ \frac { 1 } { 5 } \right\}$ 
C)  $\left\{ \frac { 1 } { 6 } \right\}$ 
D)  $\left\{ \frac { 1 } { 7 } \right\}$ 
E)  $\varnothing$ 
A)  $\left\{ - \frac { 1 } { 5 } \right\}$ 
B)  $\left\{ \frac { 1 } { 5 } \right\}$ 
C)  $\left\{ \frac { 1 } { 6 } \right\}$ 
D)  $\left\{ \frac { 1 } { 7 } \right\}$ 
E)  $\varnothing$

Question 12

Solve the inequality and express the solution set using interval notation. $\frac { x - 5 } { 4 } - \frac { x - 3 } { 6 } \leq \frac { 5 } { 12 }$

Accepted Answer

The answer of Solve the inequality and express the solution...

Question 13

There are 59 students in a certain class. The number of females is 5 less than three times the number of males. Find the number of females and the number of males in the class.

Accepted Answer

A)  16 males and 43 females 
B)  44 males and 17 females 
C)  43 males and 16 females 
D)  44 males and 16 females 
E)  17 males and 44 females 
A)  16 males and 43 females 
B)  44 males and 17 females 
C)  43 males and 16 females 
D)  44 males and 16 females 
E)  17 males and 44 females

Question 14

Raise the monomial to the indicated power. $- ( 4 a b ) ^ { 2 }$

Accepted Answer

The answer of Raise the monomial to the indicated power....

Question 15

Solve the inequality. $| x - 4 | - 2 \geq 6$

Accepted Answer

A)  $-$ 4, 12 
B)  $( - \infty , - 4 ] \cup [ 12 , \infty )$ 
C)  $[ - 4,4 ) \cup ( 4,12 ]$ 
D)  $\phi$ 
A)  $-$ 4, 12 
B)  $( - \infty , - 4 ] \cup [ 12 , \infty )$ 
C)  $[ - 4,4 ) \cup ( 4,12 ]$ 
D)  $\phi$

Question 16

Factor the polynomial completely. $3 x + 3 y + a x + a y$

Accepted Answer

A)  $( x + a ) ( 3 + y )$ 
B)  $( x + y ) ( 3 + a )$ 
C)  $( x + y ) ( 3 - a )$ 
D)  $( x + 3 ) ( y - a )$ 
E)  not factorable 
A)  $( x + a ) ( 3 + y )$ 
B)  $( x + y ) ( 3 + a )$ 
C)  $( x + y ) ( 3 - a )$ 
D)  $( x + 3 ) ( y - a )$ 
E)  not factorable

Question 17

Solve the inequality. | x | < 8

Accepted Answer

A)  $( - \infty , 8 )$ 
B)  $( 8 , \infty )$ 
C)  ( $-$ 8, 8) 
D)  $\phi$ 
A)  $( - \infty , 8 )$ 
B)  $( 8 , \infty )$ 
C)  ( $-$ 8, 8) 
D)  $\phi$

Question 18

The absolute value of zero does not exist.

Accepted Answer

A) True 
 B)False

Question 19

Solve each inequality. Match each inequality with the corresponding answer.
-$( - 12,2 )$

Accepted Answer

A) $| x - 7 | > 4$ B) $| x + 5 | < 7$ A) $| x - 7 | > 4$ B) $| x + 5 | < 7$

Question 20

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

Accepted Answer

A)  Q: $2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20$
$\mathrm { R } : 41$ 
B)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20 \
\text { R: } - 41
\end{array}$ 
C)  Q: $2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20$
$\mathrm { R } : 0$ 
D)  Q: $2 x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20$
$\mathrm { R } : 0$ 
E)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20 \
\text { R: } - 41
\end{array}$ 
A)  Q: $2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20$
$\mathrm { R } : 41$ 
B)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20 \
\text { R: } - 41
\end{array}$ 
C)  Q: $2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20$
$\mathrm { R } : 0$ 
D)  Q: $2 x ^ { 3 } - 4 x ^ { 2 } - 10 x + 20$
$\mathrm { R } : 0$ 
E)  $\begin{array} { l } 
\text { Q: } 2 x ^ { 3 } - 4 x ^ { 2 } + 10 x - 20 \
\text { R: } - 41
\end{array}$

Solve the inequality. $| 9 x + 18 | \leq 27$

Find the indicated product. ( 7 x $-$ 3 ) ( x 2 + 7 x + 11 )

Solve the inequality and express the solution set using interval notation. $4 ( x - 6 ) \leq - 8 ( x + 6 )$

Find the product. $\left( \frac { 6 } { 7 } x ^ { 4 } y ^ { 6 } \right) \left( - x ^ { 2 } y \right)$

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $x = - 11 , x = - 15$

Factor the polynomial completely. Indicate if it is not factorable using integers. $49 a ^ { 2 } - 70 a + 25$

One leg of a right triangle is 7 meters longer than the other leg. If the length of the hypotenuse is 13 meters, find the length of each leg. The length of shorter leg is meters. The length of longer leg is meters. Please enter your answer as two numbers, separated by a comma.

Since multiplication is commutative, the product $( x + 8 ) ( x - 8 )$ is the same as the product $( x - 8 ) ( x + 8 )$ .

The sum of a cube is not factorable.

Perform the indicated division of the polynomial by the monomial. $\frac { - 18 a ^ { 3 } b ^ { 6 } - 27 a ^ { 2 } b ^ { 5 } + 72 a ^ { 2 } b ^ { 7 } } { 9 a ^ { 2 } b ^ { 4 } }$

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

Solve the inequality and express the solution set using interval notation. $\frac { x - 5 } { 4 } - \frac { x - 3 } { 6 } \leq \frac { 5 } { 12 }$

There are 59 students in a certain class. The number of females is 5 less than three times the number of males. Find the number of females and the number of males in the class.

Raise the monomial to the indicated power. $- ( 4 a b ) ^ { 2 }$

Solve the inequality. $| x - 4 | - 2 \geq 6$

Factor the polynomial completely. $3 x + 3 y + a x + a y$

Solve the inequality. | x | < 8

The absolute value of zero does not exist.

Solve each inequality. Match each inequality with the corresponding answer. - $( - 12,2 )$

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

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

Solve the inequality. ∣9x+18∣≤27| 9 x + 18 | \leq 27∣9x+18∣≤27

Find the indicated product. ( 7 x −-− 3 ) ( x 2 + 7 x + 11 )

Solve the inequality and express the solution set using interval notation. 4(x−6)≤−8(x+6)4 ( x - 6 ) \leq - 8 ( x + 6 )4(x−6)≤−8(x+6)

Find the product. (67x4y6)(−x2y)\left( \frac { 6 } { 7 } x ^ { 4 } y ^ { 6 } \right) \left( - x ^ { 2 } y \right)(76​x4y6)(−x2y)

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - x=−11,x=−15x = - 11 , x = - 15x=−11,x=−15

Factor the polynomial completely. Indicate if it is not factorable using integers. 49a2−70a+2549 a ^ { 2 } - 70 a + 2549a2−70a+25

One leg of a right triangle is 7 meters longer than the other leg. If the length of the hypotenuse is 13 meters, find the length of each leg. The length of shorter leg is __________ meters. The length of longer leg is __________ meters. Please enter your answer as two numbers, separated by a comma.

Since multiplication is commutative, the product (x+8)(x−8)( x + 8 ) ( x - 8 )(x+8)(x−8) is the same as the product (x−8)(x+8)( x - 8 ) ( x + 8 )(x−8)(x+8) .

The sum of a cube is not factorable.

Perform the indicated division of the polynomial by the monomial. −18a3b6−27a2b5+72a2b79a2b4\frac { - 18 a ^ { 3 } b ^ { 6 } - 27 a ^ { 2 } b ^ { 5 } + 72 a ^ { 2 } b ^ { 7 } } { 9 a ^ { 2 } b ^ { 4 } }9a2b4−18a3b6−27a2b5+72a2b7​

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

Solve the inequality and express the solution set using interval notation. x−54−x−36≤512\frac { x - 5 } { 4 } - \frac { x - 3 } { 6 } \leq \frac { 5 } { 12 }4x−5​−6x−3​≤125​

There are 59 students in a certain class. The number of females is 5 less than three times the number of males. Find the number of females and the number of males in the class.

Raise the monomial to the indicated power. −(4ab)2- ( 4 a b ) ^ { 2 }−(4ab)2

Solve the inequality. ∣x−4∣−2≥6| x - 4 | - 2 \geq 6∣x−4∣−2≥6

Factor the polynomial completely. 3x+3y+ax+ay3 x + 3 y + a x + a y3x+3y+ax+ay

Solve the inequality. | x | < 8

The absolute value of zero does not exist.

Solve each inequality. Match each inequality with the corresponding answer. - (−12,2)( - 12,2 )(−12,2)

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

Solve the inequality. $| 9 x + 18 | \leq 27$

Find the indicated product. ( 7 x $-$ 3 ) ( x 2 + 7 x + 11 )

Solve the inequality and express the solution set using interval notation. $4 ( x - 6 ) \leq - 8 ( x + 6 )$

Find the product. $\left( \frac { 6 } { 7 } x ^ { 4 } y ^ { 6 } \right) \left( - x ^ { 2 } y \right)$

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $x = - 11 , x = - 15$

Factor the polynomial completely. Indicate if it is not factorable using integers. $49 a ^ { 2 } - 70 a + 25$

One leg of a right triangle is 7 meters longer than the other leg. If the length of the hypotenuse is 13 meters, find the length of each leg. The length of shorter leg is meters. The length of longer leg is meters. Please enter your answer as two numbers, separated by a comma.

Since multiplication is commutative, the product $( x + 8 ) ( x - 8 )$ is the same as the product $( x - 8 ) ( x + 8 )$ .

Perform the indicated division of the polynomial by the monomial. $\frac { - 18 a ^ { 3 } b ^ { 6 } - 27 a ^ { 2 } b ^ { 5 } + 72 a ^ { 2 } b ^ { 7 } } { 9 a ^ { 2 } b ^ { 4 } }$

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

Solve the inequality and express the solution set using interval notation. $\frac { x - 5 } { 4 } - \frac { x - 3 } { 6 } \leq \frac { 5 } { 12 }$

Raise the monomial to the indicated power. $- ( 4 a b ) ^ { 2 }$

Solve the inequality. $| x - 4 | - 2 \geq 6$

Factor the polynomial completely. $3 x + 3 y + a x + a y$

Solve each inequality. Match each inequality with the corresponding answer. - $( - 12,2 )$

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