Question 1

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 8 x - 10 = 0$

Accepted Answer

A)  $\{ 8 + 2 \sqrt { 26 } \}$ 
B)  $\{ 4 \pm \sqrt { 26 } \}$ 
C)  $\{ 8 \pm 2 \sqrt { 26 } \}$ 
D)  $\{ 4 + \sqrt { 26 } \}$ 
E)  $\{ 4 - 2 \sqrt { 26 } \}$ 
A)  $\{ 8 + 2 \sqrt { 26 } \}$ 
B)  $\{ 4 \pm \sqrt { 26 } \}$ 
C)  $\{ 8 \pm 2 \sqrt { 26 } \}$ 
D)  $\{ 4 + \sqrt { 26 } \}$ 
E)  $\{ 4 - 2 \sqrt { 26 } \}$

Question 2

Solve the quadratic equation. x  2 = 81 Enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 3

Solve the inequality. $4 x ^ { 2 } + 20 x + 25 \leq 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(4 x ^ {...

Question 4

Use the quadratic formula to solve the quadratic equation. m 2 + 44 m + 480 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Accepted Answer

Question 5

A man did a job for $168. It took him 2 hours longer than he expected, and therefore he earned $2 per hour less than he anticipated. How long did he expect that it would take to do the job?

Accepted Answer

A)  17 hours 
B)  9 hours 
C)  14 hours 
D)  12 hours 
E)  7 hours 
A)  17 hours 
B)  9 hours 
C)  14 hours 
D)  12 hours 
E)  7 hours

Question 6

A quadratic equation with a discriminant of $- 4$ will have two real complex solutions.

Accepted Answer

A) True 
 B)False

Question 7

The perimeter of a rectangle is 32 inches and its area is 28 square inches. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

Accepted Answer

The answer of The perimeter of a rectangle is 32...

Question 8

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.
-$\frac { - 1 \pm i \sqrt { 15 } } { 16 }$

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 9

Use the method of completing the square to solve the quadratic equation. x 2 + 12 x $-$ 9 = 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 10

In a $30 ^ { \circ } - 60 ^ { \circ }$ triangle, the hypotenuse is twice as long in length as the side opposite the $30 ^ { \circ }$ angle.

Accepted Answer

A) True 
 B)False

Question 11

Solve the radical equation. Don t forget, you must check potential solutions. $5 \sqrt { x } = x + 4$

Accepted Answer

A)  x = 16 
B)  x = 1 
C)  x = 1 or x = 16 
D)  x = $-$ 1 or x = 16 
A)  x = 16 
B)  x = 1 
C)  x = 1 or x = 16 
D)  x = $-$ 1 or x = 16

Question 12

Suppose that the sum of two whole numbers is 7 and the sum of their reciprocals is $\frac { 7 } { 6 }$ 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 whole...

Question 13

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find a if $c = 14$ and $b = 5$ inches. Express the answer in simplest radical form.

Accepted Answer

A)  $\sqrt { 221 }$ inches 
B)  $- \sqrt { 221 }$ inches 
C)  $- 3 \sqrt { 19 }$ inches 
D)  $3 \sqrt { 19 }$ inches 
A)  $\sqrt { 221 }$ inches 
B)  $- \sqrt { 221 }$ inches 
C)  $- 3 \sqrt { 19 }$ inches 
D)  $3 \sqrt { 19 }$ inches

Question 14

Solve the inequality. $\frac { x - 1 } { x - 5 } \leq 3$ Please enter your answer in interval notation.

Accepted Answer

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

Question 15

Solve the quadratic equation. 4 t  2 = 32

Accepted Answer

A)  $n = \sqrt { 2 } \text { or } n = - \sqrt { 2 }$ 
B)  n = 4 or n = $-$ 4 
C)  $n = 2 \sqrt { 2 } \text { or } n = - 2 \sqrt { 2 }$ 
D)  n = 2 or n = $-$ 2 
A)  $n = \sqrt { 2 } \text { or } n = - \sqrt { 2 }$ 
B)  n = 4 or n = $-$ 4 
C)  $n = 2 \sqrt { 2 } \text { or } n = - 2 \sqrt { 2 }$ 
D)  n = 2 or n = $-$ 2

Question 16

Solve each inequality. Match each inequality with the corresponding interval.
-$( - 8,5 )$

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 17

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find c if a = 10 centimeters and b = 15 centimeters. Express the answer in simplest radical form.

Accepted Answer

A)  $\sqrt { 25 }$ centimeters 
B)  25 centimeters 
C)  $5 \sqrt { 13 }$ centimeters 
D)  $5 \sqrt { 5 }$ centimeters 
A)  $\sqrt { 25 }$ centimeters 
B)  25 centimeters 
C)  $5 \sqrt { 13 }$ centimeters 
D)  $5 \sqrt { 5 }$ centimeters

Question 18

Solve the inequality. $x ( x + 1 ) ( x - 4 ) \leq 0$ Please enter your answer in interval notation.

Accepted Answer

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

Question 19

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

Accepted Answer

A)  2 + 4 i 
B)  $-$ 8 + 0 i 
C)  $-$ 8 i 
D)  8 + 0 i 
A)  2 + 4 i 
B)  $-$ 8 + 0 i 
C)  $-$ 8 i 
D)  8 + 0 i

Question 20

A quadradic equation is factorable using integers if the discriminant is 0 or a perfect square.

Accepted Answer

A) True 
 B)False

Solve the quadratic equation using the method that seems most appropriate to you. $x ^ { 2 } - 8 x - 10 = 0$

Solve the quadratic equation. x ² = 81 Enter your answer as two numbers, separated by a comma.

Solve the inequality. $4 x ^ { 2 } + 20 x + 25 \leq 0$ Please enter your answer in interval notation.

Use the quadratic formula to solve the quadratic equation. m ² + 44 m + 480 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

A man did a job for $168. It took him 2 hours longer than he expected, and therefore he earned $2 per hour less than he anticipated. How long did he expect that it would take to do the job?

A quadratic equation with a discriminant of $- 4$ will have two real complex solutions.

The perimeter of a rectangle is 32 inches and its area is 28 square inches. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

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. - $\frac { - 1 \pm i \sqrt { 15 } } { 16 }$

Use the method of completing the square to solve the quadratic equation. x 2 + 12 x $-$ 9 = 0 Please enter your answer as two numbers, separated by a comma.

In a $30 ^ { \circ } - 60 ^ { \circ }$ triangle, the hypotenuse is twice as long in length as the side opposite the $30 ^ { \circ }$ angle.

Solve the radical equation. Don t forget, you must check potential solutions. $5 \sqrt { x } = x + 4$

Suppose that the sum of two whole numbers is 7 and the sum of their reciprocals is $\frac { 7 } { 6 }$ Find the numbers. Please enter your answer as two numbers, separated by a comma.

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find a if $c = 14$ and $b = 5$ inches. Express the answer in simplest radical form.

Solve the inequality. $\frac { x - 1 } { x - 5 } \leq 3$ Please enter your answer in interval notation.

Solve the quadratic equation. 4 t ² = 32

Solve each inequality. Match each inequality with the corresponding interval. - $( - 8,5 )$

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find c if a = 10 centimeters and b = 15 centimeters. Express the answer in simplest radical form.

Solve the inequality. $x ( x + 1 ) ( x - 4 ) \leq 0$ Please enter your answer in interval notation.

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

A quadradic equation is factorable using integers if the discriminant is 0 or a perfect square.

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 using the method that seems most appropriate to you. x2−8x−10=0x ^ { 2 } - 8 x - 10 = 0x2−8x−10=0

Solve the quadratic equation. x 2 = 81 Enter your answer as two numbers, separated by a comma.

Solve the inequality. 4x2+20x+25≤04 x ^ { 2 } + 20 x + 25 \leq 04x2+20x+25≤0 Please enter your answer in interval notation.

Use the quadratic formula to solve the quadratic equation. m 2 + 44 m + 480 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

A man did a job for $168. It took him 2 hours longer than he expected, and therefore he earned $2 per hour less than he anticipated. How long did he expect that it would take to do the job?

A quadratic equation with a discriminant of −4- 4−4 will have two real complex solutions.

The perimeter of a rectangle is 32 inches and its area is 28 square inches. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, separated by a comma.

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±i1516\frac { - 1 \pm i \sqrt { 15 } } { 16 }16−1±i15​​

Use the method of completing the square to solve the quadratic equation. x 2 + 12 x −-− 9 = 0 Please enter your answer as two numbers, separated by a comma.

In a 30∘−60∘30 ^ { \circ } - 60 ^ { \circ }30∘−60∘ triangle, the hypotenuse is twice as long in length as the side opposite the 30∘30 ^ { \circ }30∘ angle.

Solve the radical equation. Don t forget, you must check potential solutions. 5x=x+45 \sqrt { x } = x + 45x​=x+4

Suppose that the sum of two whole numbers is 7 and the sum of their reciprocals is 76\frac { 7 } { 6 }67​ Find the numbers. Please enter your answer as two numbers, separated by a comma.

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find a if c=14c = 14c=14 and b=5b = 5b=5 inches. Express the answer in simplest radical form.

Solve the inequality. x−1x−5≤3\frac { x - 1 } { x - 5 } \leq 3x−5x−1​≤3 Please enter your answer in interval notation.

Solve the quadratic equation. 4 t 2 = 32

Solve each inequality. Match each inequality with the corresponding interval. - (−8,5)( - 8,5 )(−8,5)

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find c if a = 10 centimeters and b = 15 centimeters. Express the answer in simplest radical form.

Solve the inequality. x(x+1)(x−4)≤0x ( x + 1 ) ( x - 4 ) \leq 0x(x+1)(x−4)≤0 Please enter your answer in interval notation.

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

A quadradic equation is factorable using integers if the discriminant is 0 or a perfect square.

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 using the method that seems most appropriate to you. $x ^ { 2 } - 8 x - 10 = 0$

Solve the quadratic equation. x ² = 81 Enter your answer as two numbers, separated by a comma.

Solve the inequality. $4 x ^ { 2 } + 20 x + 25 \leq 0$ Please enter your answer in interval notation.

Use the quadratic formula to solve the quadratic equation. m ² + 44 m + 480 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

A quadratic equation with a discriminant of $- 4$ will have two real complex solutions.

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. - $\frac { - 1 \pm i \sqrt { 15 } } { 16 }$

Use the method of completing the square to solve the quadratic equation. x 2 + 12 x $-$ 9 = 0 Please enter your answer as two numbers, separated by a comma.

In a $30 ^ { \circ } - 60 ^ { \circ }$ triangle, the hypotenuse is twice as long in length as the side opposite the $30 ^ { \circ }$ angle.

Solve the radical equation. Don t forget, you must check potential solutions. $5 \sqrt { x } = x + 4$

Suppose that the sum of two whole numbers is 7 and the sum of their reciprocals is $\frac { 7 } { 6 }$ Find the numbers. Please enter your answer as two numbers, separated by a comma.

For this problem a and b represent the lengths of the legs of a right triangle, and c represents the length of the hypotenuse. Find a if $c = 14$ and $b = 5$ inches. Express the answer in simplest radical form.

Solve the inequality. $\frac { x - 1 } { x - 5 } \leq 3$ Please enter your answer in interval notation.

Solve the quadratic equation. 4 t ² = 32

Solve each inequality. Match each inequality with the corresponding interval. - $( - 8,5 )$

Solve the inequality. $x ( x + 1 ) ( x - 4 ) \leq 0$ Please enter your answer in interval notation.