Question 1

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer.
-$- 8 i \sqrt { 6 }$

Accepted Answer

A)  $\sqrt { - 147 }$ 
B)  $- 2 \sqrt { - 96 }$ 
A)  $\sqrt { - 147 }$ 
B)  $- 2 \sqrt { - 96 }$

Question 2

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer.
-$7 i \sqrt { 3 }$

Accepted Answer

A)  $\sqrt { - 147 }$ 
B)  $- 2 \sqrt { - 96 }$ 
A)  $\sqrt { - 147 }$ 
B)  $- 2 \sqrt { - 96 }$

Question 3

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 7 x = 0 Enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation by factoring and...

Question 4

Solve each quadratic equation using the method that seems most appropriate. 3( x + 2 ) 2 + 2 = 17 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 5

Use the quadratic formula to solve the quadratic equation. x 2 + 25 x + 150 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

Question 6

Find ( 6 i ) ( 9 i ) and express the answer in the standard form of a complex number.

Accepted Answer

The answer of Find ( 6 i ) ( 9...

Question 7

Solve the inequality. $\frac { 5 x + 2 } { x + 6 } \leq 4$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(\frac { 5 x...

Question 8

Find the quotient $\frac { 5 } { 13 i }$ and express the answer in the standard form of a complex number.

Accepted Answer

A)  $- \frac { 5 } { 13 }$ 
B)  $- \frac { 5 } { 13 } i$ 
C)  $- \frac { 13 } { 5 } i$ 
D)  $\frac { 5 } { 13 } i$ 
A)  $- \frac { 5 } { 13 }$ 
B)  $- \frac { 5 } { 13 } i$ 
C)  $- \frac { 13 } { 5 } i$ 
D)  $\frac { 5 } { 13 } i$

Question 9

Write $\sqrt { - 2 } \sqrt { - 4 }$ in terms of i , perform the indicated operations, and simplify.

Accepted Answer

A)  $- 2 \sqrt { 2 }$ 
B)  $- 2 i \sqrt { 2 }$ 
C)  $2 \sqrt { 2 }$ 
A)  $- 2 \sqrt { 2 }$ 
B)  $- 2 i \sqrt { 2 }$ 
C)  $2 \sqrt { 2 }$

Question 10

Solve each inequality. Match each inequality with the corresponding interval.
-$( 1,6 )$

Accepted Answer

A)  $( x + 1 ) ( x + 6 )  0$ 
C)  $( x - 6 ) ( x - 1 ) < 0$ 
A)  $( x + 1 ) ( x + 6 )  0$ 
C)  $( x - 6 ) ( x - 1 ) < 0$

Question 11

Use the quadratic formula to solve the quadratic equation. 16 x 2 + 72 x + 81 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

Question 12

For this problem use the triangle in the figure. If a = 7 feet find b and c . Express the answers in simplest radical form.

Accepted Answer

A)  $b = 7 \sqrt { 3 } \text { feet, } c = 14 \sqrt { 3 } \text { feet }$ 
B)  $b = 14 \text { feet, } c = 14 \text { feet }$ 
C)  $b = 7 \sqrt { 3 } \text { feet, } c = 14 \text { feet }$ 
D)  $b = 7 \sqrt { 3 } \text { feet, } c = 7 \sqrt { 3 } \text { feet }$ 
A)  $b = 7 \sqrt { 3 } \text { feet, } c = 14 \sqrt { 3 } \text { feet }$ 
B)  $b = 14 \text { feet, } c = 14 \text { feet }$ 
C)  $b = 7 \sqrt { 3 } \text { feet, } c = 14 \text { feet }$ 
D)  $b = 7 \sqrt { 3 } \text { feet, } c = 7 \sqrt { 3 } \text { feet }$

Question 13

Solve the inequality. x ( 4 x $-$ 33 ) 27 Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. x ( 4 x...

Question 14

Use the method of completing the square to solve the quadratic equation. x ( x + 10 ) = -7

Accepted Answer

A)  $x = - 5 + 3 \sqrt { 2 } , x = 5 - 3 \sqrt { 2 }$ 
B)  $x = 5 + 3 \sqrt { 2 } , x = 5 + 3 \sqrt { 2 }$ 
C)  $x = - 5 + 3 \sqrt { 2 } , x = - 5 - 3 \sqrt { 2 }$ 
A)  $x = - 5 + 3 \sqrt { 2 } , x = 5 - 3 \sqrt { 2 }$ 
B)  $x = 5 + 3 \sqrt { 2 } , x = 5 + 3 \sqrt { 2 }$ 
C)  $x = - 5 + 3 \sqrt { 2 } , x = - 5 - 3 \sqrt { 2 }$

Question 15

Solve the equation for the variable x . 9 x 2 + 6 mx + m 2 = 0

Accepted Answer

Question 16

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x $-$ 3 = 0

Accepted Answer

A)  $x = \frac { - 5 + \sqrt { 37 } } { 2 } , x = \frac { - 5 - \sqrt { 37 } } { 2 }$ 
B)  $x = \frac { - 5 + \sqrt { 37 } } { 2 } , x = \frac { 5 + \sqrt { 37 } } { 2 }$ 
C)  $x = \frac { 5 + \sqrt { 37 } } { 2 } , x = \frac { - 5 - \sqrt { 37 } } { 2 }$ 
A)  $x = \frac { - 5 + \sqrt { 37 } } { 2 } , x = \frac { - 5 - \sqrt { 37 } } { 2 }$ 
B)  $x = \frac { - 5 + \sqrt { 37 } } { 2 } , x = \frac { 5 + \sqrt { 37 } } { 2 }$ 
C)  $x = \frac { 5 + \sqrt { 37 } } { 2 } , x = \frac { - 5 - \sqrt { 37 } } { 2 }$

Question 17

Use the method of completing the square to solve the quadratic equation. x 2 + 20 x $-$ 25 = 0

Accepted Answer

A)  $x = 5 \sqrt { 5 } \pm 20$ 
B)  $x = 20 \pm 5 \sqrt { 5 }$ 
C)  $x = - 10 \pm 5 \sqrt { 5 }$ 
A)  $x = 5 \sqrt { 5 } \pm 20$ 
B)  $x = 20 \pm 5 \sqrt { 5 }$ 
C)  $x = - 10 \pm 5 \sqrt { 5 }$

Question 18

Solve the quadratic equation. ( x $-$ 2) 2 = 4 Enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation. ( x $-$...

Question 19

Solve each inequality. Match each inequality with the corresponding interval.
-$( - 6,4 )$

Accepted Answer

A)  $x ^ { 2 } + 2 x - 24 < 0$ 
B)  $x ^ { 2 } + 3 x - 40 < 0$ 
A)  $x ^ { 2 } + 2 x - 24 < 0$ 
B)  $x ^ { 2 } + 3 x - 40 < 0$

Question 20

Use the quadratic formula to solve the quadratic equation. 256 x 2 + 96 x + 9 = 0

Accepted Answer

A)  $\left\{ - \frac { 3 } { 16 } \right\}$ 
B)  $\left\{ - \frac { 5 } { 16 } \right\}$ 
C)  $\left\{ \frac { 3 } { 16 } \right\}$ 
D)  $\left\{ - \frac { 16 } { 3 } \right\}$ 
E)  $\left\{ \frac { 16 } { 3 } \right\}$ 
A)  $\left\{ - \frac { 3 } { 16 } \right\}$ 
B)  $\left\{ - \frac { 5 } { 16 } \right\}$ 
C)  $\left\{ \frac { 3 } { 16 } \right\}$ 
D)  $\left\{ - \frac { 16 } { 3 } \right\}$ 
E)  $\left\{ \frac { 16 } { 3 } \right\}$

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer. - $- 8 i \sqrt { 6 }$

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer. - $7 i \sqrt { 3 }$

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 7 x = 0 Enter your answer as two numbers, separated by a comma.

Solve each quadratic equation using the method that seems most appropriate. 3( x + 2 ) ² + 2 = 17 Please enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. x ² + 25 x + 150 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Find ( 6 i ) ( 9 i ) and express the answer in the standard form of a complex number.

Solve the inequality. $\frac { 5 x + 2 } { x + 6 } \leq 4$ Please enter your answer in interval notation.

Find the quotient $\frac { 5 } { 13 i }$ and express the answer in the standard form of a complex number.

Write $\sqrt { - 2 } \sqrt { - 4 }$ in terms of i , perform the indicated operations, and simplify.

Solve each inequality. Match each inequality with the corresponding interval. - $( 1,6 )$

Use the quadratic formula to solve the quadratic equation. 16 x ² + 72 x + 81 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

For this problem use the triangle in the figure. If a = 7 feet find b and c . Express the answers in simplest radical form.

Solve the inequality. x ( 4 x $-$ 33 ) 27 Please enter your answer in interval notation.

Use the method of completing the square to solve the quadratic equation. x ( x + 10 ) = -7

Solve the equation for the variable x . 9 x ² + 6 mx + m ² = 0

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x $-$ 3 = 0

Use the method of completing the square to solve the quadratic equation. x 2 + 20 x $-$ 25 = 0

Solve the quadratic equation. ( x $-$ 2) 2 = 4 Enter your answer as two numbers, separated by a comma.

Solve each inequality. Match each inequality with the corresponding interval. - $( - 6,4 )$

Use the quadratic formula to solve the quadratic equation. 256 x ² + 96 x + 9 = 0

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

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

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

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 11: Quadratic Equations and Inequalities

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer. - −8i6- 8 i \sqrt { 6 }−8i6​

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer. - 7i37 i \sqrt { 3 }7i3​

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 −-− 7 x = 0 Enter your answer as two numbers, separated by a comma.

Solve each quadratic equation using the method that seems most appropriate. 3( x + 2 ) 2 + 2 = 17 Please enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. x 2 + 25 x + 150 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Find ( 6 i ) ( 9 i ) and express the answer in the standard form of a complex number.

Solve the inequality. 5x+2x+6≤4\frac { 5 x + 2 } { x + 6 } \leq 4x+65x+2​≤4 Please enter your answer in interval notation.

Find the quotient 513i\frac { 5 } { 13 i }13i5​ and express the answer in the standard form of a complex number.

Write −2−4\sqrt { - 2 } \sqrt { - 4 }−2​−4​ in terms of i , perform the indicated operations, and simplify.

Solve each inequality. Match each inequality with the corresponding interval. - (1,6)( 1,6 )(1,6)

Use the quadratic formula to solve the quadratic equation. 16 x 2 + 72 x + 81 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

For this problem use the triangle in the figure. If a = 7 feet find b and c . Express the answers in simplest radical form.

Solve the inequality. x ( 4 x −-− 33 ) 27 Please enter your answer in interval notation.

Use the method of completing the square to solve the quadratic equation. x ( x + 10 ) = -7

Solve the equation for the variable x . 9 x 2 + 6 mx + m 2 = 0

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x −-− 3 = 0

Use the method of completing the square to solve the quadratic equation. x 2 + 20 x −-− 25 = 0

Solve the quadratic equation. ( x −-− 2) 2 = 4 Enter your answer as two numbers, separated by a comma.

Solve each inequality. Match each inequality with the corresponding interval. - (−6,4)( - 6,4 )(−6,4)

Use the quadratic formula to solve the quadratic equation. 256 x 2 + 96 x + 9 = 0

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

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

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

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer. - $- 8 i \sqrt { 6 }$

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer. - $7 i \sqrt { 3 }$

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 7 x = 0 Enter your answer as two numbers, separated by a comma.

Solve each quadratic equation using the method that seems most appropriate. 3( x + 2 ) ² + 2 = 17 Please enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. x ² + 25 x + 150 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. $\frac { 5 x + 2 } { x + 6 } \leq 4$ Please enter your answer in interval notation.

Find the quotient $\frac { 5 } { 13 i }$ and express the answer in the standard form of a complex number.

Write $\sqrt { - 2 } \sqrt { - 4 }$ in terms of i , perform the indicated operations, and simplify.

Solve each inequality. Match each inequality with the corresponding interval. - $( 1,6 )$

Use the quadratic formula to solve the quadratic equation. 16 x ² + 72 x + 81 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. x ( 4 x $-$ 33 ) 27 Please enter your answer in interval notation.

Solve the equation for the variable x . 9 x ² + 6 mx + m ² = 0

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x $-$ 3 = 0

Use the method of completing the square to solve the quadratic equation. x 2 + 20 x $-$ 25 = 0

Solve the quadratic equation. ( x $-$ 2) 2 = 4 Enter your answer as two numbers, separated by a comma.

Solve each inequality. Match each inequality with the corresponding interval. - $( - 6,4 )$

Use the quadratic formula to solve the quadratic equation. 256 x ² + 96 x + 9 = 0