Question 1

Use Pascal s triangle to help expand the expression. $( x - y ) ^ { 6 }$

Accepted Answer

The answer of Use Pascal s triangle to help expand...

Question 2

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

Accepted Answer

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

Question 3

Find the indicated product. (8 x $-$ 6)( x 2 + 9 x + 13)

Accepted Answer

A)  8 x 3 + 66 x 2 + 50 x $-$ 78 
B)  8 x 3 + 66 x 2 $-$ 50 x + 78 
C)  8 x 3 + 66 x 2 + 98 x $-$ 13 
D)  8 x 3 + 66 x 2 + 13 x $-$ 6 
A)  8 x 3 + 66 x 2 + 50 x $-$ 78 
B)  8 x 3 + 66 x 2 $-$ 50 x + 78 
C)  8 x 3 + 66 x 2 + 98 x $-$ 13 
D)  8 x 3 + 66 x 2 + 13 x $-$ 6

Question 4

Solve the equation. | 5 x $-$ 45 | = 35

Accepted Answer

A)  x = 2, x = 16 
B)  x = 2 
C)  x = 16 
D)  x = $-$ 2, x = $-$ 16 
A)  x = 2, x = 16 
B)  x = 2 
C)  x = 16 
D)  x = $-$ 2, x = $-$ 16

Question 5

Solve the inequality by inspection. $| 2 x + 7 | > - 5$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality by inspection. \(| 2...

Question 6

Sean bought 5 lemons and 2 limes for $2.05. At the same prices, Kim bought 4 lemons and 7 limes for $2.45. Find the price per lemon and the price per lime. The price per lemon is $__________. The price per lime is $__________. Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Sean bought 5 lemons and 2 limes...

Question 7

Solve the inequality. | x | > 6

Accepted Answer

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

Question 8

Solve the equation using factoring techniques. x 2 + 8 x + 7 = 0 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 9

The absolute value equation, if not equal to zero, can be rewritten as two unique equations.

Accepted Answer

A) True 
 B)False

Question 10

Solve the inequality and express the solution set using interval notation. $- ( x - 3 ) + 2 ( x - 4 ) < 14 ( x + 2 )$

Accepted Answer

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

Question 11

An algebraic equation is called a closed sentence.

Accepted Answer

A) True 
 B)False

Question 12

Solve the inequality and express the solution set using interval notation. $0.2 x + 0.02 ( x + 720 ) > 76$

Accepted Answer

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

Question 13

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

Accepted Answer

A)  $9 x ^ { 2 n } + 48 x ^ { n } + 64$ 
B)  $9 x ^ { n } { } ^ { 2 } - 48 x ^ { n } + 64$ 
C)  $9 x ^ { 2 n } - 48 x ^ { n } - 64$ 
D)  $9 x ^ { 2 n } - 48 x ^ { n } + 64$ 
E)  $9 x ^ { n } { } ^ { 2 } + 48 x ^ { n } - 64$ 
A)  $9 x ^ { 2 n } + 48 x ^ { n } + 64$ 
B)  $9 x ^ { n } { } ^ { 2 } - 48 x ^ { n } + 64$ 
C)  $9 x ^ { 2 n } - 48 x ^ { n } - 64$ 
D)  $9 x ^ { 2 n } - 48 x ^ { n } + 64$ 
E)  $9 x ^ { n } { } ^ { 2 } + 48 x ^ { n } - 64$

Question 14

Solve the equation using factoring techniques. 3 w 3 $-$ 21 w 2 + 30 w = 0

Accepted Answer

A)  n = -2, n = -5, n = 0 
B)  n = -2, n = 5, n = 0 
C)  n = 2, n = 5, n = 0 
A)  n = -2, n = -5, n = 0 
B)  n = -2, n = 5, n = 0 
C)  n = 2, n = 5, n = 0

Question 15

Factor the polynomial completely. Indicate if it is not factorable using integers. $2 n ^ { 3 } + 12 n ^ { 2 } - 10 n$

Accepted Answer

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

Question 16

Solve the equation. $\frac { x + 3 } { 3 } + 1 = \frac { x - 3 } { 3 }$

Accepted Answer

The answer of Solve the equation. \(\frac { x +...

Question 17

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement.
-$\left( - \infty , \frac { - 239 } { 13 } \right]$

Accepted Answer

A)  $\frac { x + 4 } { 22 } - \frac { x + 9 } { 9 } \geq \frac { 7 } { 18 }$ 
B)  $\frac { x - 5 } { 20 } - \frac { x - 2 } { 25 } \leq \frac { 1 } { 100 }$ 
C)  $\frac { 6 x - 5 } { 10 } - \frac { x - 1 } { 20 } < - 4$ 
A)  $\frac { x + 4 } { 22 } - \frac { x + 9 } { 9 } \geq \frac { 7 } { 18 }$ 
B)  $\frac { x - 5 } { 20 } - \frac { x - 2 } { 25 } \leq \frac { 1 } { 100 }$ 
C)  $\frac { 6 x - 5 } { 10 } - \frac { x - 1 } { 20 } < - 4$

Question 18

If the divisor is $x - 6$ , the value of the divisor in synthetic division is $- 6$ .

Accepted Answer

A) True 
 B)False

Question 19

Solve the inequality. $\left| \frac { x - 6 } { 2 } \right| < 8$ Please enter your answer in interval notation.

Accepted Answer

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

Question 20

Solve the system of equations. $\left( \begin{array} { c } 
x - 2 y = 8 \
3 x + 5 y = - 9
\end{array} \right)$

Accepted Answer

The answer of Solve the system of equations. \(\left( \begin{array}...

Use Pascal s triangle to help expand the expression. $( x - y ) ^ { 6 }$

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

Find the indicated product. (8 x $-$ 6)( x 2 + 9 x + 13)

Solve the equation. | 5 x $-$ 45 | = 35

Solve the inequality by inspection. $| 2 x + 7 | > - 5$ Please enter your answer in interval notation.

Sean bought 5 lemons and 2 limes for $2.05. At the same prices, Kim bought 4 lemons and 7 limes for $2.45. Find the price per lemon and the price per lime. The price per lemon is $. The price per lime is $. Please enter your answer as two numbers, separated by a comma.

Solve the inequality. | x | > 6

Solve the equation using factoring techniques. x ² + 8 x + 7 = 0 Please enter your answer as two numbers, separated by a comma.

The absolute value equation, if not equal to zero, can be rewritten as two unique equations.

Solve the inequality and express the solution set using interval notation. $- ( x - 3 ) + 2 ( x - 4 ) < 14 ( x + 2 )$

An algebraic equation is called a closed sentence.

Solve the inequality and express the solution set using interval notation. $0.2 x + 0.02 ( x + 720 ) > 76$

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

Solve the equation using factoring techniques. 3 w 3 $-$ 21 w 2 + 30 w = 0

Factor the polynomial completely. Indicate if it is not factorable using integers. $2 n ^ { 3 } + 12 n ^ { 2 } - 10 n$

Solve the equation. $\frac { x + 3 } { 3 } + 1 = \frac { x - 3 } { 3 }$

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - $\left( - \infty , \frac { - 239 } { 13 } \right]$

If the divisor is $x - 6$ , the value of the divisor in synthetic division is $- 6$ .

Solve the inequality. $\left| \frac { x - 6 } { 2 } \right| < 8$ Please enter your answer in interval notation.

Solve the system of equations. $\left( \begin{array} { c } x - 2 y = 8 \\3 x + 5 y = - 9\end{array} \right)$

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

Use Pascal s triangle to help expand the expression. (x−y)6( x - y ) ^ { 6 }(x−y)6

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

Find the indicated product. (8 x −-− 6)( x 2 + 9 x + 13)

Solve the equation. | 5 x −-− 45 | = 35

Solve the inequality by inspection. ∣2x+7∣>−5| 2 x + 7 | > - 5∣2x+7∣>−5 Please enter your answer in interval notation.

Sean bought 5 lemons and 2 limes for $2.05. At the same prices, Kim bought 4 lemons and 7 limes for $2.45. Find the price per lemon and the price per lime. The price per lemon is $__________. The price per lime is $__________. Please enter your answer as two numbers, separated by a comma.

Solve the inequality. | x | > 6

Solve the equation using factoring techniques. x 2 + 8 x + 7 = 0 Please enter your answer as two numbers, separated by a comma.

The absolute value equation, if not equal to zero, can be rewritten as two unique equations.

Solve the inequality and express the solution set using interval notation. −(x−3)+2(x−4)<14(x+2)- ( x - 3 ) + 2 ( x - 4 ) < 14 ( x + 2 )−(x−3)+2(x−4)<14(x+2)

An algebraic equation is called a closed sentence.

Solve the inequality and express the solution set using interval notation. 0.2x+0.02(x+720)>760.2 x + 0.02 ( x + 720 ) > 760.2x+0.02(x+720)>76

Find the indicated product. Assume the variable that appears as exponent represents positive integer. (3xn−8)2\left( 3 x ^ { n } - 8 \right) ^ { 2 }(3xn−8)2

Solve the equation using factoring techniques. 3 w 3 −-− 21 w 2 + 30 w = 0

Factor the polynomial completely. Indicate if it is not factorable using integers. 2n3+12n2−10n2 n ^ { 3 } + 12 n ^ { 2 } - 10 n2n3+12n2−10n

Solve the equation. x+33+1=x−33\frac { x + 3 } { 3 } + 1 = \frac { x - 3 } { 3 }3x+3​+1=3x−3​

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - (−∞,−23913]\left( - \infty , \frac { - 239 } { 13 } \right](−∞,13−239​]

If the divisor is x−6x - 6x−6 , the value of the divisor in synthetic division is −6- 6−6 .

Solve the inequality. ∣x−62∣<8\left| \frac { x - 6 } { 2 } \right| < 8​2x−6​​<8 Please enter your answer in interval notation.

Solve the system of equations. (x−2y=83x+5y=−9)\left( \begin{array} { c } x - 2 y = 8 \\3 x + 5 y = - 9\end{array} \right)(x−2y=83x+5y=−9​)

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 Pascal s triangle to help expand the expression. $( x - y ) ^ { 6 }$

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

Find the indicated product. (8 x $-$ 6)( x 2 + 9 x + 13)

Solve the equation. | 5 x $-$ 45 | = 35

Solve the inequality by inspection. $| 2 x + 7 | > - 5$ Please enter your answer in interval notation.

Sean bought 5 lemons and 2 limes for $2.05. At the same prices, Kim bought 4 lemons and 7 limes for $2.45. Find the price per lemon and the price per lime. The price per lemon is $. The price per lime is $. Please enter your answer as two numbers, separated by a comma.

Solve the equation using factoring techniques. x ² + 8 x + 7 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the inequality and express the solution set using interval notation. $- ( x - 3 ) + 2 ( x - 4 ) < 14 ( x + 2 )$

Solve the inequality and express the solution set using interval notation. $0.2 x + 0.02 ( x + 720 ) > 76$

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 3 x ^ { n } - 8 \right) ^ { 2 }$

Solve the equation using factoring techniques. 3 w 3 $-$ 21 w 2 + 30 w = 0

Factor the polynomial completely. Indicate if it is not factorable using integers. $2 n ^ { 3 } + 12 n ^ { 2 } - 10 n$

Solve the equation. $\frac { x + 3 } { 3 } + 1 = \frac { x - 3 } { 3 }$

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - $\left( - \infty , \frac { - 239 } { 13 } \right]$

If the divisor is $x - 6$ , the value of the divisor in synthetic division is $- 6$ .

Solve the inequality. $\left| \frac { x - 6 } { 2 } \right| < 8$ Please enter your answer in interval notation.

Solve the system of equations. $\left( \begin{array} { c } x - 2 y = 8 \\3 x + 5 y = - 9\end{array} \right)$