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 + 9 kx = 0

Accepted Answer

A)  x = $-$ 9 k or x = 0 
B)  k = $-$ 9 
C)  x = 9 k 
D)  x = 9 or x = k 
A)  x = $-$ 9 k or x = 0 
B)  k = $-$ 9 
C)  x = 9 k 
D)  x = 9 or x = k

Question 2

Solve each quadratic equation using the method that seems most appropriate. 2 n 2 $-$ 8 n = 3 Please enter your answer as two numbers, separated by a comma.

Accepted Answer

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

Question 3

The solution set of the inequality $x ^ { 2 } + 9 \geq 0$ is all real numbers.

Accepted Answer

A) True 
 B)False

Question 4

Solve the quadratic equation. ( n $-$ 3) 2 = 5 Enter your answer as two numbers, separated by a comma.

Accepted Answer

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

Question 5

Write $\sqrt { 6 } \sqrt { - 25 }$ in terms of i , perform the indicated operations, and simplify.

Accepted Answer

A)  $- 5 i \sqrt { 6 }$ 
B)  $5 i \sqrt { 6 }$ 
C)  $5 \sqrt { 6 }$ 
A)  $- 5 i \sqrt { 6 }$ 
B)  $5 i \sqrt { 6 }$ 
C)  $5 \sqrt { 6 }$

Question 6

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement.
-$\frac { - 1 \pm \sqrt { 129 } } { 16 }$

Accepted Answer

A)  $- y ^ { 2 } + 17 y = 8$ 
B)  $8 x ^ { 2 } + x - 4 = 0$ 
C)  $16 x ^ { 2 } + 2 x + 1 = 0$ 
D)  $7 x ^ { 2 } - 2 x + 9 = 0$ 
A)  $- y ^ { 2 } + 17 y = 8$ 
B)  $8 x ^ { 2 } + x - 4 = 0$ 
C)  $16 x ^ { 2 } + 2 x + 1 = 0$ 
D)  $7 x ^ { 2 } - 2 x + 9 = 0$

Question 7

Use the quadratic formula to solve the quadratic equation. x 2 $-$ 29 x + 190 = 0 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 8

Solve each quadratic equation using the method that seems most appropriate. ( x $-$ 4 )( x + 6 ) = 9

Accepted Answer

A)  x = 5, x = 3 
B)  x = -5, x = 3 
C)  x = 5, x = -3 
A)  x = 5, x = 3 
B)  x = -5, x = 3 
C)  x = 5, x = -3

Question 9

Use the quadratic formula to solve the quadratic equation. 21 x 2 + 17 x $-$ 8 = 0

Accepted Answer

A)  $\left\{ - \frac { 1 } { 3 } , \frac { 8 } { 7 } \right\}$ 
B)  $\left\{ - \frac { 8 } { 7 } , \frac { 1 } { 3 } \right\}$ 
C)  $\{ - 8,3 \}$ 
D)  $\left\{ - \frac { 7 } { 8 } , \frac { 1 } { 3 } \right\}$ 
E)  $\left\{ - \frac { 8 } { 7 } , 3 \right\}$ 
A)  $\left\{ - \frac { 1 } { 3 } , \frac { 8 } { 7 } \right\}$ 
B)  $\left\{ - \frac { 8 } { 7 } , \frac { 1 } { 3 } \right\}$ 
C)  $\{ - 8,3 \}$ 
D)  $\left\{ - \frac { 7 } { 8 } , \frac { 1 } { 3 } \right\}$ 
E)  $\left\{ - \frac { 8 } { 7 } , 3 \right\}$

Question 10

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$x = - 10 , x = 1$

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 11

Use the quadratic formula to solve the quadratic equation. $x ^ { 2 } + 10 x - 3 = 0$ 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 12

Solve the inequality. $( 2 x - 1 ) ( 2 x + 5 ) \geq 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(( 2 x -...

Question 13

Solve the inequality. $\frac { - x + 8 } { x - 4 } \leq 0$

Accepted Answer

A)  $( - \infty , - 8 ] \cup [ 8 , \infty )$ 
B)  $( - \infty , - 4 ) \cup [ 8 , \infty )$ 
C)  $( - \infty , 4 ) \cup [ 8 , \infty )$ 
A)  $( - \infty , - 8 ] \cup [ 8 , \infty )$ 
B)  $( - \infty , - 4 ) \cup [ 8 , \infty )$ 
C)  $( - \infty , 4 ) \cup [ 8 , \infty )$

Question 14

Solve the quadratic equation using the method that seems most appropriate to you. $\frac { 40 } { x + 20 } - \frac { 28 } { x } = - 4$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

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

Question 15

Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 6 } { n } = \frac { 29 } { 3 }$

Accepted Answer

A)  $\left\{ - 9 , - \frac { 2 } { 3 } \right\}$ 
B)  $\left\{ - 9 , \frac { 2 } { 3 } \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } , 9 \right\}$ 
D)  $\left\{ - \frac { 2 } { 3 } , 9 \right\}$ 
A)  $\left\{ - 9 , - \frac { 2 } { 3 } \right\}$ 
B)  $\left\{ - 9 , \frac { 2 } { 3 } \right\}$ 
C)  $\left\{ \frac { 2 } { 3 } , 9 \right\}$ 
D)  $\left\{ - \frac { 2 } { 3 } , 9 \right\}$

Question 16

Critical numbers are always part of the solution when the inequality sign is $ \leq $ or $ \geq $ .

Accepted Answer

A) True 
 B)False

Question 17

A diagonal of a square parking lot is 55 meters. Find, to the nearest meter, the length of a side of the lot. __________ meters

Accepted Answer

The answer of A diagonal of a square parking lot...

Question 18

In the complex number system there is no solution to the equation $x ^ { 2 } = - 6$ .

Accepted Answer

A) True 
 B)False

Question 19

Solve the quadratic equation. n 2 $-$ 2 = 0 Enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation. n 2 $-$...

Question 20

Solve the quadratic equation. n 2 $-$ 5 = 0

Accepted Answer

A)  $n = \sqrt { 5 } \text { or } n = - \sqrt { 5 }$ 
B)  n = 5 or n = 0 
C)  n = $-$ 5 
D)  $n = \sqrt { 5 }$ 
A)  $n = \sqrt { 5 } \text { or } n = - \sqrt { 5 }$ 
B)  n = 5 or n = 0 
C)  n = $-$ 5 
D)  $n = \sqrt { 5 }$

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." x ² + 9 kx = 0

Solve each quadratic equation using the method that seems most appropriate. 2 n 2 $-$ 8 n = 3 Please enter your answer as two numbers, separated by a comma.

The solution set of the inequality $x ^ { 2 } + 9 \geq 0$ is all real numbers.

Solve the quadratic equation. ( n $-$ 3) 2 = 5 Enter your answer as two numbers, separated by a comma.

Write $\sqrt { 6 } \sqrt { - 25 }$ in terms of i , perform the indicated operations, and simplify.

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement. - $\frac { - 1 \pm \sqrt { 129 } } { 16 }$

Use the quadratic formula to solve the quadratic equation. x 2 $-$ 29 x + 190 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each quadratic equation using the method that seems most appropriate. ( x $-$ 4 )( x + 6 ) = 9

Use the quadratic formula to solve the quadratic equation. 21 x 2 + 17 x $-$ 8 = 0

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 10 , x = 1$

Use the quadratic formula to solve the quadratic equation. $x ^ { 2 } + 10 x - 3 = 0$ Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. $( 2 x - 1 ) ( 2 x + 5 ) \geq 0$ Please enter your answer in interval notation.

Solve the inequality. $\frac { - x + 8 } { x - 4 } \leq 0$

Solve the quadratic equation using the method that seems most appropriate to you. $\frac { 40 } { x + 20 } - \frac { 28 } { x } = - 4$ Please enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 6 } { n } = \frac { 29 } { 3 }$

Critical numbers are always part of the solution when the inequality sign is $\leq$ or $\geq$ .

A diagonal of a square parking lot is 55 meters. Find, to the nearest meter, the length of a side of the lot. __________ meters

In the complex number system there is no solution to the equation $x ^ { 2 } = - 6$ .

Solve the quadratic equation. n 2 $-$ 2 = 0 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation. n 2 $-$ 5 = 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

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." x 2 + 9 kx = 0

Solve each quadratic equation using the method that seems most appropriate. 2 n 2 −-− 8 n = 3 Please enter your answer as two numbers, separated by a comma.

The solution set of the inequality x2+9≥0x ^ { 2 } + 9 \geq 0x2+9≥0 is all real numbers.

Solve the quadratic equation. ( n −-− 3) 2 = 5 Enter your answer as two numbers, separated by a comma.

Write 6−25\sqrt { 6 } \sqrt { - 25 }6​−25​ in terms of i , perform the indicated operations, and simplify.

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement. - −1±12916\frac { - 1 \pm \sqrt { 129 } } { 16 }16−1±129​​

Use the quadratic formula to solve the quadratic equation. x 2 −-− 29 x + 190 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each quadratic equation using the method that seems most appropriate. ( x −-− 4 )( x + 6 ) = 9

Use the quadratic formula to solve the quadratic equation. 21 x 2 + 17 x −-− 8 = 0

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - x=−10,x=1x = - 10 , x = 1x=−10,x=1

Use the quadratic formula to solve the quadratic equation. x2+10x−3=0x ^ { 2 } + 10 x - 3 = 0x2+10x−3=0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. (2x−1)(2x+5)≥0( 2 x - 1 ) ( 2 x + 5 ) \geq 0(2x−1)(2x+5)≥0 Please enter your answer in interval notation.

Solve the inequality. −x+8x−4≤0\frac { - x + 8 } { x - 4 } \leq 0x−4−x+8​≤0

Solve the quadratic equation using the method that seems most appropriate to you. 40x+20−28x=−4\frac { 40 } { x + 20 } - \frac { 28 } { x } = - 4x+2040​−x28​=−4 Please enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. n+6n=293n + \frac { 6 } { n } = \frac { 29 } { 3 }n+n6​=329​

Critical numbers are always part of the solution when the inequality sign is ≤ \leq ≤ or ≥ \geq ≥ .

A diagonal of a square parking lot is 55 meters. Find, to the nearest meter, the length of a side of the lot. __________ meters

In the complex number system there is no solution to the equation x2=−6x ^ { 2 } = - 6x2=−6 .

Solve the quadratic equation. n 2 −-− 2 = 0 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation. n 2 −-− 5 = 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

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." x ² + 9 kx = 0

Solve each quadratic equation using the method that seems most appropriate. 2 n 2 $-$ 8 n = 3 Please enter your answer as two numbers, separated by a comma.

The solution set of the inequality $x ^ { 2 } + 9 \geq 0$ is all real numbers.

Solve the quadratic equation. ( n $-$ 3) 2 = 5 Enter your answer as two numbers, separated by a comma.

Write $\sqrt { 6 } \sqrt { - 25 }$ in terms of i , perform the indicated operations, and simplify.

Use the quadratic formula to solve the quadratic equation. Check your solutions by using the sum and product relationships. Match each of the equations with the number to obtain a true statement. - $\frac { - 1 \pm \sqrt { 129 } } { 16 }$

Use the quadratic formula to solve the quadratic equation. x 2 $-$ 29 x + 190 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each quadratic equation using the method that seems most appropriate. ( x $-$ 4 )( x + 6 ) = 9

Use the quadratic formula to solve the quadratic equation. 21 x 2 + 17 x $-$ 8 = 0

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 10 , x = 1$

Use the quadratic formula to solve the quadratic equation. $x ^ { 2 } + 10 x - 3 = 0$ Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve the inequality. $( 2 x - 1 ) ( 2 x + 5 ) \geq 0$ Please enter your answer in interval notation.

Solve the inequality. $\frac { - x + 8 } { x - 4 } \leq 0$

Solve the quadratic equation using the method that seems most appropriate to you. $\frac { 40 } { x + 20 } - \frac { 28 } { x } = - 4$ Please enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. $n + \frac { 6 } { n } = \frac { 29 } { 3 }$

Critical numbers are always part of the solution when the inequality sign is $\leq$ or $\geq$ .

In the complex number system there is no solution to the equation $x ^ { 2 } = - 6$ .

Solve the quadratic equation. n 2 $-$ 2 = 0 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation. n 2 $-$ 5 = 0