Question 1

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$x = - 4 , x = 10$

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 2

Solve the quadratic equation using the method that seems most appropriate to you. $189 - 24 x - 5 x ^ { 2 } = 0$

Accepted Answer

A)  $\left\{ 18 , - \frac { 42 } { 5 } \right\}$ 
B)  $\left\{ - 9 , - \frac { 21 } { 5 } \right\}$ 
C)  $\left\{ 9 , - \frac { 21 } { 5 } \right\}$ 
D)  $\left\{ - 9 , \frac { 21 } { 5 } \right\}$ 
E)  $\left\{ - 18 , \frac { 42 } { 5 } \right\}$ 
A)  $\left\{ 18 , - \frac { 42 } { 5 } \right\}$ 
B)  $\left\{ - 9 , - \frac { 21 } { 5 } \right\}$ 
C)  $\left\{ 9 , - \frac { 21 } { 5 } \right\}$ 
D)  $\left\{ - 9 , \frac { 21 } { 5 } \right\}$ 
E)  $\left\{ - 18 , \frac { 42 } { 5 } \right\}$

Question 3

Use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. $20 x ^ { 2 } - 22 x - 12 = 0$

Accepted Answer

one real s

Question 4

Use the discriminant to determine whether the equation has two non real complex solutions, one real solution with a multiplicity of two, or two real solutions. Match each of the equations with the number of decisions to obtain a true statement.
-$\text { two nonreal complex solutions }$

Accepted Answer

A)  $x ^ { 2 } + 10 x - 24 = 0$ 
B)  $4 x ^ { 2 } + 12 x + 9 = 0$ 
C)  $4 x ^ { 2 } - x + 9 = 0$ 
A)  $x ^ { 2 } + 10 x - 24 = 0$ 
B)  $4 x ^ { 2 } + 12 x + 9 = 0$ 
C)  $4 x ^ { 2 } - x + 9 = 0$

Question 5

Solve the inequality. $\frac { 5 x + 2 } { x + 5 } \leq 4$

Accepted Answer

A)  $( - \infty , - 5 ) \cup [ 18 , \infty )$ 
B)  $( - 5,18 ]$ 
C)  $( - \infty , - 2 ) \cup ( 2 , \infty )$ 
A)  $( - \infty , - 5 ) \cup [ 18 , \infty )$ 
B)  $( - 5,18 ]$ 
C)  $( - \infty , - 2 ) \cup ( 2 , \infty )$

Question 6

Solve each quadratic equation using the method that seems most appropriate. x 2 = 4 x

Accepted Answer

A)  x = 4, x = 0 
B)  x = 2, x = 0 
C)  x = 2, x = -2 
A)  x = 4, x = 0 
B)  x = 2, x = 0 
C)  x = 2, x = -2

Question 7

Test numbers are chosen from the invervals on a number line to see how it affects the signs of the factors.

Accepted Answer

A) True 
 B)False

Question 8

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 3 x  2 + 28 x + 32 = 0

Accepted Answer

A)  $x = - 8 \text { or } x = - \frac { 4 } { 3 }$ 
B)  x = $-$ 8 or x = $-$ 4 
C)  x = $-$ 8 or x = 4 
D)  x = 8 or x = 3 
A)  $x = - 8 \text { or } x = - \frac { 4 } { 3 }$ 
B)  x = $-$ 8 or x = $-$ 4 
C)  x = $-$ 8 or x = 4 
D)  x = 8 or x = 3

Question 9

Find two consecutive whole numbers such that the sum of their squares is 181. Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Find two consecutive whole numbers such that...

Question 10

Use the method of completing the square to solve the quadratic equation. 2 x 2 + 8 x $-$ 5 = 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 11

Suppose that the sum of two numbers is 14 and the sum of their squares is 100. Find the numbers. Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Suppose that the sum of two numbers...

Question 12

Use the method of completing the square to solve the quadratic equation. 3 x 2 + 5 x $-$ 5 = 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 13

Solve the inequality. ( x + 1 )( x + 5 ) < 0

Accepted Answer

A)  $( - 5 , - 1 )$ 
B)  $( - \infty , 1 ) \cup ( 5 , \infty )$ 
C)  $( - \infty , - 5 ) \cup ( 1 , \infty )$ 
A)  $( - 5 , - 1 )$ 
B)  $( - \infty , 1 ) \cup ( 5 , \infty )$ 
C)  $( - \infty , - 5 ) \cup ( 1 , \infty )$

Question 14

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 18 x + 1 = 0$ 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

The compounded interest formula is $A = P ( 1 + r t )$ .

Accepted Answer

A) True 
 B)False

Question 16

Solve the quadratic equation. ( x $-$ 5) 2 = 64

Accepted Answer

A)  x = 13 or x = -3 
B)  x = 13 or x = -13 
C)  x = 8 or x = -8 
D)  x = -3 or x = 3 
A)  x = 13 or x = -3 
B)  x = 13 or x = -13 
C)  x = 8 or x = -8 
D)  x = -3 or x = 3

Question 17

Find $( 8 - 5 i ) ( - 2 - i )$ and express the answer in the standard form of a complex number.

Accepted Answer

A)  $- 16 - 18 i$ 
B)  $21 - 2 i$ 
C)  $- 11 + 2 i$ 
D)  $- 21 + 2 i$ 
A)  $- 16 - 18 i$ 
B)  $21 - 2 i$ 
C)  $- 11 + 2 i$ 
D)  $- 21 + 2 i$

Question 18

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 10 x + 17 = 0$

Accepted Answer

A)  $\{ 10 \pm 4 \sqrt { 2 } \}$ 
B)  $\{ 10 + 4 \sqrt { 2 } \}$ 
C)  $\{ 10 - 4 \sqrt { 2 } \}$ 
D)  $\{ 5 \pm 2 \sqrt { 2 } \}$ 
E)  $\{ 5 - 2 \sqrt { 2 } \}$ 
A)  $\{ 10 \pm 4 \sqrt { 2 } \}$ 
B)  $\{ 10 + 4 \sqrt { 2 } \}$ 
C)  $\{ 10 - 4 \sqrt { 2 } \}$ 
D)  $\{ 5 \pm 2 \sqrt { 2 } \}$ 
E)  $\{ 5 - 2 \sqrt { 2 } \}$

Question 19

Solve the quadratic equation. 4( x + 3) 2 $-$ 4 = 12

Accepted Answer

A)  x = -1 or x = -5 
B)  x = 6 or x = 2 
C)  x = 4 or x = -8 
D)  x = -5 or x = -4 
A)  x = -1 or x = -5 
B)  x = 6 or x = 2 
C)  x = 4 or x = -8 
D)  x = -5 or x = -4

Question 20

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution.
-$x = 6 , x = 8$

Accepted Answer

A)  $x ^ { 2 } - 14 x = - 48$ 
B)  $x ^ { 2 } - 20 x = - 99$ 
C)  $x ^ { 2 } - 8 x = - 7$ 
A)  $x ^ { 2 } - 14 x = - 48$ 
B)  $x ^ { 2 } - 20 x = - 99$ 
C)  $x ^ { 2 } - 8 x = - 7$

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 4 , x = 10$

Solve the quadratic equation using the method that seems most appropriate to you. $189 - 24 x - 5 x ^ { 2 } = 0$

Use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. $20 x ^ { 2 } - 22 x - 12 = 0$

Use the discriminant to determine whether the equation has two non real complex solutions, one real solution with a multiplicity of two, or two real solutions. Match each of the equations with the number of decisions to obtain a true statement. - $\text { two nonreal complex solutions }$

Solve the inequality. $\frac { 5 x + 2 } { x + 5 } \leq 4$

Solve each quadratic equation using the method that seems most appropriate. x ² = 4 x

Test numbers are chosen from the invervals on a number line to see how it affects the signs of the factors.

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 3 x ² + 28 x + 32 = 0

Find two consecutive whole numbers such that the sum of their squares is 181. Please enter your answer as two numbers, separated by a comma.

Use the method of completing the square to solve the quadratic equation. 2 x 2 + 8 x $-$ 5 = 0 Please enter your answer as two numbers, separated by a comma.

Suppose that the sum of two numbers is 14 and the sum of their squares is 100. Find the numbers. Please enter your answer as two numbers, separated by a comma.

Use the method of completing the square to solve the quadratic equation. 3 x 2 + 5 x $-$ 5 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the inequality. ( x + 1 )( x + 5 ) < 0

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 18 x + 1 = 0$ Please enter your answer as two numbers, separated by a comma.

The compounded interest formula is $A = P ( 1 + r t )$ .

Solve the quadratic equation. ( x $-$ 5) 2 = 64

Find $( 8 - 5 i ) ( - 2 - i )$ and express the answer in the standard form of a complex number.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 10 x + 17 = 0$

Solve the quadratic equation. 4( x + 3) 2 $-$ 4 = 12

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = 6 , x = 8$

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 each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - x=−4,x=10x = - 4 , x = 10x=−4,x=10

Solve the quadratic equation using the method that seems most appropriate to you. 189−24x−5x2=0189 - 24 x - 5 x ^ { 2 } = 0189−24x−5x2=0

Use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. 20x2−22x−12=020 x ^ { 2 } - 22 x - 12 = 020x2−22x−12=0

Solve the inequality. 5x+2x+5≤4\frac { 5 x + 2 } { x + 5 } \leq 4x+55x+2​≤4

Solve each quadratic equation using the method that seems most appropriate. x 2 = 4 x

Test numbers are chosen from the invervals on a number line to see how it affects the signs of the factors.

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 3 x 2 + 28 x + 32 = 0

Find two consecutive whole numbers such that the sum of their squares is 181. Please enter your answer as two numbers, separated by a comma.

Use the method of completing the square to solve the quadratic equation. 2 x 2 + 8 x −-− 5 = 0 Please enter your answer as two numbers, separated by a comma.

Suppose that the sum of two numbers is 14 and the sum of their squares is 100. Find the numbers. Please enter your answer as two numbers, separated by a comma.

Use the method of completing the square to solve the quadratic equation. 3 x 2 + 5 x −-− 5 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the inequality. ( x + 1 )( x + 5 ) < 0

Solve the quadratic equation using the method that seems most appropriate to you. x2−18x+1=0x ^ { 2 } - 18 x + 1 = 0x2−18x+1=0 Please enter your answer as two numbers, separated by a comma.

The compounded interest formula is A=P(1+rt)A = P ( 1 + r t )A=P(1+rt) .

Solve the quadratic equation. ( x −-− 5) 2 = 64

Find (8−5i)(−2−i)( 8 - 5 i ) ( - 2 - i )(8−5i)(−2−i) and express the answer in the standard form of a complex number.

Solve the quadratic equation using the method that seems most appropriate to you. x2−10x+17=0x ^ { 2 } - 10 x + 17 = 0x2−10x+17=0

Solve the quadratic equation. 4( x + 3) 2 −-− 4 = 12

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - x=6,x=8x = 6 , x = 8x=6,x=8

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 each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 4 , x = 10$

Solve the quadratic equation using the method that seems most appropriate to you. $189 - 24 x - 5 x ^ { 2 } = 0$

Use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. $20 x ^ { 2 } - 22 x - 12 = 0$

Solve the inequality. $\frac { 5 x + 2 } { x + 5 } \leq 4$

Solve each quadratic equation using the method that seems most appropriate. x ² = 4 x

Solve the quadratic equation by factoring and applying the property " ab = 0 if and only if a = 0 or b = 0." 3 x ² + 28 x + 32 = 0

Use the method of completing the square to solve the quadratic equation. 2 x 2 + 8 x $-$ 5 = 0 Please enter your answer as two numbers, separated by a comma.

Use the method of completing the square to solve the quadratic equation. 3 x 2 + 5 x $-$ 5 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 18 x + 1 = 0$ Please enter your answer as two numbers, separated by a comma.

The compounded interest formula is $A = P ( 1 + r t )$ .

Solve the quadratic equation. ( x $-$ 5) 2 = 64

Find $( 8 - 5 i ) ( - 2 - i )$ and express the answer in the standard form of a complex number.

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 10 x + 17 = 0$

Solve the quadratic equation. 4( x + 3) 2 $-$ 4 = 12

Solve each quadratic equation by using the method of completing the square. Match each equation with the corresponding solution. - $x = 6 , x = 8$