Question 1

Find $( 2 + 7 i ) ( 4 + 3 i )$ and express the answer in the standard form of a complex number.

Accepted Answer

A)  $8 + 21 i$ 
B)  $- 29 - 34 i$ 
C)  $- 13 + 34 i$ 
D)  $29 + 34 i$ 
A)  $8 + 21 i$ 
B)  $- 29 - 34 i$ 
C)  $- 13 + 34 i$ 
D)  $29 + 34 i$

Question 2

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 2 x = 0

Accepted Answer

A)  $x = \sqrt { 2 }$ 
B)  $x = 0 \text { or } x = \sqrt { 2 }$ 
C)  x = 2 
D)  x = 0 or x = 2 
A)  $x = \sqrt { 2 }$ 
B)  $x = 0 \text { or } x = \sqrt { 2 }$ 
C)  x = 2 
D)  x = 0 or x = 2

Question 3

Solve the inequality. $\frac { x + 4 } { x - 10 } \geq 1$

Accepted Answer

A)  $[ 10 , \infty )$ 
B)  $( - 4,10 )$ 
C)  $( 10 , \infty )$ 
A)  $[ 10 , \infty )$ 
B)  $( - 4,10 )$ 
C)  $( 10 , \infty )$

Question 4

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

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 5

Solve the inequality. $\frac { x + 1 } { x - 4 } > 0$

Accepted Answer

A)  $( - \infty , - 1 ) \cup ( 4 , \infty )$ 
B)  $( - \infty , 1 ] \cup [ 4 , \infty )$ 
C)  $( - \infty , - 4 ] \cup [ 1 , \infty )$ 
A)  $( - \infty , - 1 ) \cup ( 4 , \infty )$ 
B)  $( - \infty , 1 ] \cup [ 4 , \infty )$ 
C)  $( - \infty , - 4 ] \cup [ 1 , \infty )$

Question 6

Write $\sqrt { - 9 }$ in terms of i and simplify.

Accepted Answer

The answer of Write $\sqrt { - 9 }$ in...

Question 7

Find $( 3 + 3 i ) ^ { 2 }$ and express the answer in the standard form of a complex number.

Accepted Answer

The answer of Find \(( 3 + 3 i )...

Question 8

Write $\frac { \sqrt { - 4 } } { \sqrt { - 9 } }$ in terms of i , perform the indicated operations, and simplify. Please enter your answer as a fraction.

Accepted Answer

The answer of Write \(\frac { \sqrt { - 4...

Question 9

Solve the quadratic equation using the method that seems most appropriate to you. $( x - 4 ) ( x + 5 ) = - 8$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation using the method...

Question 10

Add or subtract as indicated. ( $-$ 3 $-$ 5 i ) $-$ ( $-$ 6 $-$ 7 i )

Accepted Answer

The answer of Add or subtract as indicated. ( $-$...

Question 11

Solve the quadratic equation. x  2 = 16

Accepted Answer

A)  x = 4 or x = 0 
B)  x = 4 
C)  x = 4 or x = $-$ 4 
D)  x = 4 or x = 16 
A)  x = 4 or x = 0 
B)  x = 4 
C)  x = 4 or x = $-$ 4 
D)  x = 4 or x = 16

Question 12

Solve the equation for the variable r . Assume that all letters represent positive numbers. $A = \pi r ^ { 2 }$

Accepted Answer

A)  $r = \sqrt { A \pi }$ 
B)  $r = \frac { \sqrt { A } } { \pi }$ 
C)  $r = \sqrt { \frac { A } { \pi } }$ 
A)  $r = \sqrt { A \pi }$ 
B)  $r = \frac { \sqrt { A } } { \pi }$ 
C)  $r = \sqrt { \frac { A } { \pi } }$

Question 13

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 90 diagonals. __________ sides

Accepted Answer

The answer of The formula \(D = \frac { n...

Question 14

Find $( 4 + 7 i ) ( - 2 - i )$ and express the answer in the standard form of a complex number.

Accepted Answer

The answer of Find \(( 4 + 7 i )...

Question 15

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 35 diagonals.

Accepted Answer

A)  11 sides 
B)  12 sides 
C)  8 sides 
D)  10 sides 
E)  9 sides 
A)  11 sides 
B)  12 sides 
C)  8 sides 
D)  10 sides 
E)  9 sides

Question 16

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$x = - 7 , x = 9$

Accepted Answer

A)  $x ^ { 2 } - 6 x - 40 = 0$ 
B)  $x ^ { 2 } - 2 x - 63 = 0$ 
C)  $x ^ { 2 } - 6 x - 7 = 0$ 
A)  $x ^ { 2 } - 6 x - 40 = 0$ 
B)  $x ^ { 2 } - 2 x - 63 = 0$ 
C)  $x ^ { 2 } - 6 x - 7 = 0$

Question 17

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x $-$ 2 = 0 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Use the method of completing the square...

Question 18

Larry drove 336 miles in 1 hour more than it took Terrell to drive 324 miles. Terrell drove at an average rate of 6 miles per hour faster than Larry. How fast did Larry travel? __________ miles per hour

Accepted Answer

The answer of Larry drove 336 miles in 1 hour...

Question 19

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$x = - 5 , x = 1$

Accepted Answer

A)  $x ( x + 4 ) = 5$ 
B)  $x ( x + 2 ) = 3$ 
C)  $x ( x + 9 ) = 10$ 
A)  $x ( x + 4 ) = 5$ 
B)  $x ( x + 2 ) = 3$ 
C)  $x ( x + 9 ) = 10$

Question 20

Write $\sqrt { - 16 } \sqrt { - 4 }$ in terms of i , perform the indicated operations, and simplify.

Accepted Answer

To write \sqrt{-16} \sqrt{-4} in terms o

Find $( 2 + 7 i ) ( 4 + 3 i )$ and express the answer in the standard form of a complex number.

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 2 x = 0

Solve the inequality. $\frac { x + 4 } { x - 10 } \geq 1$

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

Solve the inequality. $\frac { x + 1 } { x - 4 } > 0$

Write $\sqrt { - 9 }$ in terms of i and simplify.

Find $( 3 + 3 i ) ^ { 2 }$ and express the answer in the standard form of a complex number.

Write $\frac { \sqrt { - 4 } } { \sqrt { - 9 } }$ in terms of i , perform the indicated operations, and simplify. Please enter your answer as a fraction.

Solve the quadratic equation using the method that seems most appropriate to you. $( x - 4 ) ( x + 5 ) = - 8$ Please enter your answer as two numbers, separated by a comma.

Add or subtract as indicated. ( $-$ 3 $-$ 5 i ) $-$ ( $-$ 6 $-$ 7 i )

Solve the quadratic equation. x ² = 16

Solve the equation for the variable r . Assume that all letters represent positive numbers. $A = \pi r ^ { 2 }$

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 90 diagonals. __________ sides

Find $( 4 + 7 i ) ( - 2 - i )$ and express the answer in the standard form of a complex number.

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 35 diagonals.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 7 , x = 9$

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x $-$ 2 = 0 Please enter your answer as two numbers, separated by a comma.

Larry drove 336 miles in 1 hour more than it took Terrell to drive 324 miles. Terrell drove at an average rate of 6 miles per hour faster than Larry. How fast did Larry travel? __________ miles per hour

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 5 , x = 1$

Write $\sqrt { - 16 } \sqrt { - 4 }$ in terms of i , perform the indicated operations, and simplify.

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

Find (2+7i)(4+3i)( 2 + 7 i ) ( 4 + 3 i )(2+7i)(4+3i) and express the answer in the standard form of a complex number.

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 −-− 2 x = 0

Solve the inequality. x+4x−10≥1\frac { x + 4 } { x - 10 } \geq 1x−10x+4​≥1

Solve each inequality. Match each inequality with the corresponding interval. - (−∞,−6)∪(1,∞)( - \infty , - 6 ) \cup ( 1 , \infty )(−∞,−6)∪(1,∞)

Solve the inequality. x+1x−4>0\frac { x + 1 } { x - 4 } > 0x−4x+1​>0

Write −9\sqrt { - 9 }−9​ in terms of i and simplify.

Find (3+3i)2( 3 + 3 i ) ^ { 2 }(3+3i)2 and express the answer in the standard form of a complex number.

Write −4−9\frac { \sqrt { - 4 } } { \sqrt { - 9 } }−9​−4​​ in terms of i , perform the indicated operations, and simplify. Please enter your answer as a fraction.

Solve the quadratic equation using the method that seems most appropriate to you. (x−4)(x+5)=−8( x - 4 ) ( x + 5 ) = - 8(x−4)(x+5)=−8 Please enter your answer as two numbers, separated by a comma.

Add or subtract as indicated. ( −-− 3 −-− 5 i ) −-− ( −-− 6 −-− 7 i )

Solve the quadratic equation. x 2 = 16

Solve the equation for the variable r . Assume that all letters represent positive numbers. A=πr2A = \pi r ^ { 2 }A=πr2

The formula D=n(n−3)2D = \frac { n ( n - 3 ) } { 2 }D=2n(n−3)​ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 90 diagonals. __________ sides

Find (4+7i)(−2−i)( 4 + 7 i ) ( - 2 - i )(4+7i)(−2−i) and express the answer in the standard form of a complex number.

The formula D=n(n−3)2D = \frac { n ( n - 3 ) } { 2 }D=2n(n−3)​ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 35 diagonals.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - x=−7,x=9x = - 7 , x = 9x=−7,x=9

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x −-− 2 = 0 Please enter your answer as two numbers, separated by a comma.

Larry drove 336 miles in 1 hour more than it took Terrell to drive 324 miles. Terrell drove at an average rate of 6 miles per hour faster than Larry. How fast did Larry travel? __________ miles per hour

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - x=−5,x=1x = - 5 , x = 1x=−5,x=1

Write −16−4\sqrt { - 16 } \sqrt { - 4 }−16​−4​ in terms of i , perform the indicated operations, and simplify.

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

Find $( 2 + 7 i ) ( 4 + 3 i )$ and express the answer in the standard form of a complex number.

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 2 x = 0

Solve the inequality. $\frac { x + 4 } { x - 10 } \geq 1$

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

Solve the inequality. $\frac { x + 1 } { x - 4 } > 0$

Write $\sqrt { - 9 }$ in terms of i and simplify.

Find $( 3 + 3 i ) ^ { 2 }$ and express the answer in the standard form of a complex number.

Write $\frac { \sqrt { - 4 } } { \sqrt { - 9 } }$ in terms of i , perform the indicated operations, and simplify. Please enter your answer as a fraction.

Solve the quadratic equation using the method that seems most appropriate to you. $( x - 4 ) ( x + 5 ) = - 8$ Please enter your answer as two numbers, separated by a comma.

Add or subtract as indicated. ( $-$ 3 $-$ 5 i ) $-$ ( $-$ 6 $-$ 7 i )

Solve the quadratic equation. x ² = 16

Solve the equation for the variable r . Assume that all letters represent positive numbers. $A = \pi r ^ { 2 }$

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 90 diagonals. __________ sides

Find $( 4 + 7 i ) ( - 2 - i )$ and express the answer in the standard form of a complex number.

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 35 diagonals.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 7 , x = 9$

Use the method of completing the square to solve the quadratic equation. x 2 + 5 x $-$ 2 = 0 Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 5 , x = 1$

Write $\sqrt { - 16 } \sqrt { - 4 }$ in terms of i , perform the indicated operations, and simplify.