Question 1

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 4 x $-$ 32 = 0

Accepted Answer

A)  x = 4 or x = 8 
B)  x = $-$ 4 or x = 8 
C)  x = $-$ 4 or x = $-$ 8 
D)  x = 4 or x = $-$ 8 
A)  x = 4 or x = 8 
B)  x = $-$ 4 or x = 8 
C)  x = $-$ 4 or x = $-$ 8 
D)  x = 4 or x = $-$ 8

Question 2

To solve a quadradic equation, if the coefficients give very few factoring possibilities to consider, using the quadratic formula would be a good choice.

Accepted Answer

A) True 
 B)False

Question 3

Write $\sqrt { - 64 } \sqrt { - 49 }$ in terms of i , perform the indicated operations, and simplify.

Accepted Answer

A)  56 i 
B)  56 
C)  $-$ 56 
A)  56 i 
B)  56 
C)  $-$ 56

Question 4

For this problem use the triangle in the figure. If a = 10 feet find b and c . Express the answers in simplest radical form as numbers without the units separated by a comma.

Accepted Answer

The answer of For this problem use the triangle in...

Question 5

The graph of an equation with no real roots does not cross the x -axis.

Accepted Answer

A) True 
 B)False

Question 6

Solve the inequality. $\frac { x + 7 } { x - 4 } > - 3$ Please enter your answer in interval notation.

Accepted Answer

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

Question 7

Solve each quadratic equation using the method that seems most appropriate. n ( n + 15 ) = 184

Accepted Answer

A)  n = 23, n = -8 
B)  n = -23, n = 8 
C)  n = 23, n = 8 
A)  n = 23, n = -8 
B)  n = -23, n = 8 
C)  n = 23, n = 8

Question 8

Find $( 3 + 9 i ) ( - 4 - 5 i )$ and express the answer in the standard form of a complex number.

Accepted Answer

A)  $- 57 - 36 i$ 
B)  $33 + 51 i$ 
C)  $- 12 - 45 i$ 
D)  $33 - 51 i$ 
A)  $- 57 - 36 i$ 
B)  $33 + 51 i$ 
C)  $- 12 - 45 i$ 
D)  $33 - 51 i$

Question 9

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 6 x $-$ 27 = 0 Enter your answer as two numbers, separated by a comma.

Accepted Answer

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

Question 10

Use the quadratic formula to solve the quadratic equation. 288 x 2 $-$ 600 x = $-$ 297 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

The answer of Use the quadratic formula to solve the...

Question 11

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$x = - 3 , x = 1$

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 12

Write $\sqrt { - \frac { 25 } { 16 } }$ in terms of i and simplify.

Accepted Answer

A)  $\frac { 5 } { 4 }$ 
B)  $\frac { 5 } { 4 } i$ 
C)  $- \frac { 5 } { 4 } i$ 
A)  $\frac { 5 } { 4 }$ 
B)  $\frac { 5 } { 4 } i$ 
C)  $- \frac { 5 } { 4 } i$

Question 13

The product of a complex number and its conjugate is always a real number.

Accepted Answer

A) True 
 B)False

Question 14

A man did a job for $1,960. It took him 7 hours longer than he expected, and therefore he earned $5 per hour less than he anticipated. How long did he expect that it would take to do the job? __________ hours

Accepted Answer

The answer of A man did a job for $1,960....

Question 15

The perimeter of a rectangle is 30 inches and its area is 54 square inches. Find the length and width of the rectangle.

Accepted Answer

A)  5 in. by 8 in. 
B)  8 in. by 9 in. 
C)  9 in. by 10 in. 
D)  6 in. by 9 in. 
E)  6 in. by 11 in. 
A)  5 in. by 8 in. 
B)  8 in. by 9 in. 
C)  9 in. by 10 in. 
D)  6 in. by 9 in. 
E)  6 in. by 11 in.

Question 16

Solve the inequality. $\frac { x + 1 } { x - 6 } \geq 1$ Please enter your answer in interval notation.

Accepted Answer

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

Question 17

Find $( 1 + 3 i ) ( 6 + 4 i )$ and express the answer in the standard form of a complex number.

Accepted Answer

The answer of Find \(( 1 + 3 i )...

Question 18

Solve the inequality. $\frac { 9 x - 4 } { x } \geq 0$

Accepted Answer

A)  $( - \infty , 4 ] \cup [ 9 , \infty )$ 
B)  $( - \infty , 0 ) \cup \left[ \frac { 4 } { 9 } , \infty \right)$ 
C)  $( - \infty , - 9 ] \cup [ 4 , \infty )$ 
A)  $( - \infty , 4 ] \cup [ 9 , \infty )$ 
B)  $( - \infty , 0 ) \cup \left[ \frac { 4 } { 9 } , \infty \right)$ 
C)  $( - \infty , - 9 ] \cup [ 4 , \infty )$

Question 19

Find two numbers such that their sum is 14 and their product is 48.

Accepted Answer

A)  8 and 5 
B)  2 and 11 
C)  4 and 9 
D)  6 and 8 
E)  9 and 4 
A)  8 and 5 
B)  2 and 11 
C)  4 and 9 
D)  6 and 8 
E)  9 and 4

Question 20

Add or subtract as indicated. ( $-$ 3 $-$ 4 i ) $-$ ( $-$ 6 $-$ 7 i )

Accepted Answer

A)  11 + 9 i 
B)  $-$ 3 + 11 i 
C)  $-$ 9 $-$ 3 i 
D)  3 + 3 i 
A)  11 + 9 i 
B)  $-$ 3 + 11 i 
C)  $-$ 9 $-$ 3 i 
D)  3 + 3 i

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 4 x $-$ 32 = 0

To solve a quadradic equation, if the coefficients give very few factoring possibilities to consider, using the quadratic formula would be a good choice.

Write $\sqrt { - 64 } \sqrt { - 49 }$ in terms of i , perform the indicated operations, and simplify.

For this problem use the triangle in the figure. If a = 10 feet find b and c . Express the answers in simplest radical form as numbers without the units separated by a comma.

The graph of an equation with no real roots does not cross the x -axis.

Solve the inequality. $\frac { x + 7 } { x - 4 } > - 3$ Please enter your answer in interval notation.

Solve each quadratic equation using the method that seems most appropriate. n ( n + 15 ) = 184

Find $( 3 + 9 i ) ( - 4 - 5 i )$ 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 $-$ 6 x $-$ 27 = 0 Enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. 288 x 2 $-$ 600 x = $-$ 297 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 3 , x = 1$

Write $\sqrt { - \frac { 25 } { 16 } }$ in terms of i and simplify.

The product of a complex number and its conjugate is always a real number.

A man did a job for $1,960. It took him 7 hours longer than he expected, and therefore he earned $5 per hour less than he anticipated. How long did he expect that it would take to do the job? __________ hours

The perimeter of a rectangle is 30 inches and its area is 54 square inches. Find the length and width of the rectangle.

Solve the inequality. $\frac { x + 1 } { x - 6 } \geq 1$ Please enter your answer in interval notation.

Find $( 1 + 3 i ) ( 6 + 4 i )$ and express the answer in the standard form of a complex number.

Solve the inequality. $\frac { 9 x - 4 } { x } \geq 0$

Find two numbers such that their sum is 14 and their product is 48.

Add or subtract as indicated. ( $-$ 3 $-$ 4 i ) $-$ ( $-$ 6 $-$ 7 i )

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

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 −-− 4 x −-− 32 = 0

To solve a quadradic equation, if the coefficients give very few factoring possibilities to consider, using the quadratic formula would be a good choice.

Write −64−49\sqrt { - 64 } \sqrt { - 49 }−64​−49​ in terms of i , perform the indicated operations, and simplify.

For this problem use the triangle in the figure. If a = 10 feet find b and c . Express the answers in simplest radical form as numbers without the units separated by a comma.

The graph of an equation with no real roots does not cross the x -axis.

Solve the inequality. x+7x−4>−3\frac { x + 7 } { x - 4 } > - 3x−4x+7​>−3 Please enter your answer in interval notation.

Solve each quadratic equation using the method that seems most appropriate. n ( n + 15 ) = 184

Find (3+9i)(−4−5i)( 3 + 9 i ) ( - 4 - 5 i )(3+9i)(−4−5i) 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 −-− 6 x −-− 27 = 0 Enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. 288 x 2 −-− 600 x = −-− 297 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - x=−3,x=1x = - 3 , x = 1x=−3,x=1

Write −2516\sqrt { - \frac { 25 } { 16 } }−1625​​ in terms of i and simplify.

The product of a complex number and its conjugate is always a real number.

A man did a job for $1,960. It took him 7 hours longer than he expected, and therefore he earned $5 per hour less than he anticipated. How long did he expect that it would take to do the job? __________ hours

The perimeter of a rectangle is 30 inches and its area is 54 square inches. Find the length and width of the rectangle.

Solve the inequality. x+1x−6≥1\frac { x + 1 } { x - 6 } \geq 1x−6x+1​≥1 Please enter your answer in interval notation.

Find (1+3i)(6+4i)( 1 + 3 i ) ( 6 + 4 i )(1+3i)(6+4i) and express the answer in the standard form of a complex number.

Solve the inequality. 9x−4x≥0\frac { 9 x - 4 } { x } \geq 0x9x−4​≥0

Find two numbers such that their sum is 14 and their product is 48.

Add or subtract as indicated. ( −-− 3 −-− 4 i ) −-− ( −-− 6 −-− 7 i )

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

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 4 x $-$ 32 = 0

Write $\sqrt { - 64 } \sqrt { - 49 }$ in terms of i , perform the indicated operations, and simplify.

Solve the inequality. $\frac { x + 7 } { x - 4 } > - 3$ Please enter your answer in interval notation.

Find $( 3 + 9 i ) ( - 4 - 5 i )$ 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 $-$ 6 x $-$ 27 = 0 Enter your answer as two numbers, separated by a comma.

Use the quadratic formula to solve the quadratic equation. 288 x 2 $-$ 600 x = $-$ 297 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 3 , x = 1$

Write $\sqrt { - \frac { 25 } { 16 } }$ in terms of i and simplify.

Solve the inequality. $\frac { x + 1 } { x - 6 } \geq 1$ Please enter your answer in interval notation.

Find $( 1 + 3 i ) ( 6 + 4 i )$ and express the answer in the standard form of a complex number.

Solve the inequality. $\frac { 9 x - 4 } { x } \geq 0$

Add or subtract as indicated. ( $-$ 3 $-$ 4 i ) $-$ ( $-$ 6 $-$ 7 i )