Question 1

Solve the quadratic equation by using the factoring method. x ( x + 5 ) = 6

Accepted Answer

A)  x = -6, x = 5 
B)  x = -6, x = 1 
C)  x = 6, x = -5 
A)  x = -6, x = 5 
B)  x = -6, x = 1 
C)  x = 6, x = -5

Question 2

Solve the inequality. $x ( x + 3 ) ( x - 8 ) \leq 0$

Accepted Answer

A)  $( - \infty , - 8 ] \cup [ 3 , \infty )$ 
B)  $( - \infty , 3 ] \cup [ 8 , \infty )$ 
C)  $( - \infty , - 3 ] \cup [ 0,8 ]$ 
A)  $( - \infty , - 8 ] \cup [ 3 , \infty )$ 
B)  $( - \infty , 3 ] \cup [ 8 , \infty )$ 
C)  $( - \infty , - 3 ] \cup [ 0,8 ]$

Question 3

Solve the equation for the variable t . Assume that all letters represent positive numbers. $q = \frac { 1 } { 2 } n t ^ { 2 }$

Accepted Answer

A)  $t = \sqrt { \frac { n } { 2 q } }$ 
B)  $t = \sqrt { \frac { 2 n } { q } }$ 
C)  $t = \sqrt { \frac { 2 q } { n } }$ 
A)  $t = \sqrt { \frac { n } { 2 q } }$ 
B)  $t = \sqrt { \frac { 2 n } { q } }$ 
C)  $t = \sqrt { \frac { 2 q } { n } }$

Question 4

Solve the quadratic equation. 3 t  2 = 54 Enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 5

The standard form of a quadratic equation is $a x ^ { 2 } + b x + c = 0$ , where $a \neq 0$ .

Accepted Answer

A) True 
 B)False

Question 6

Solve the quadratic equation. 2( x + 2) 2 $-$ 8 = 0 Enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation. 2( x +...

Question 7

A 83-foot guy-wire makes an angle of 60 o ; with the ground and is attached to a telephone pole (see the figure). Find the distance from the base of the pole to the point on the pole where the wire is attached. Express your answer to the nearest tenth of a foot.

Accepted Answer

A)  71.9 feet 
B)  69.6 feet 
C)  77.5 feet 
D)  73.1 feet 
A)  71.9 feet 
B)  69.6 feet 
C)  77.5 feet 
D)  73.1 feet

Question 8

Find the quotient $\frac { 10 } { 11 i }$ and express the answer in the standard form of a complex number. Please enter your answer as a fraction.

Accepted Answer

The answer of Find the quotient \(\frac { 10 }...

Question 9

Solve each quadratic equation using the method that seems most appropriate. x 2 = 25 x Please enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 10

Solve each quadratic equation by using the method of completing the square. x 2 $-$ 4 x $-$ 60 = 0

Accepted Answer

A)  x = 6, x = -10 
B)  x = 6, x = 10 
C)  x = -6, x = 10 
A)  x = 6, x = -10 
B)  x = 6, x = 10 
C)  x = -6, x = 10

Question 11

Write $- 3 \sqrt { - 216 }$ in terms of i and simplify.

Accepted Answer

The answer of Write \(- 3 \sqrt { - 216...

Question 12

Write $\frac { \sqrt { - 108 } } { \sqrt { 3 } }$ in terms of i , perform the indicated operations, and simplify.

Accepted Answer

A)  $-$ 6 i 
B)  6 
C)  6 i 
A)  $-$ 6 i 
B)  6 
C)  6 i

Question 13

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

Accepted Answer

A)  34 meters 
B)  36 meters 
C)  39 meters 
D)  37 meters 
A)  34 meters 
B)  36 meters 
C)  39 meters 
D)  37 meters

Question 14

Solve the inequality. $\frac { 8 x - 2 } { x } \geq 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(\frac { 8 x...

Question 15

Solve the quadratic equation using the method that seems most appropriate to you. $3 y ^ { 2 } - 2 y + 1 = 0$

Accepted Answer

A)  $\{ 1 \pm i \sqrt { 2 } \}$ 
B)  $\{ 2 \pm 2 i \sqrt { 2 } \}$ 
C)  $\left\{ \frac { 2 \pm 2 i \sqrt { 2 } } { 3 } \right\}$ 
D)  $\left\{ \frac { 1 \pm i \sqrt { 2 } } { 3 } \right\}$ 
A)  $\{ 1 \pm i \sqrt { 2 } \}$ 
B)  $\{ 2 \pm 2 i \sqrt { 2 } \}$ 
C)  $\left\{ \frac { 2 \pm 2 i \sqrt { 2 } } { 3 } \right\}$ 
D)  $\left\{ \frac { 1 \pm i \sqrt { 2 } } { 3 } \right\}$

Question 16

Solve the inequality. $\frac { x + 6 } { x - 3 } > - 4$

Accepted Answer

A)  $\left( - \infty , \frac { 6 } { 5 } \right) \cup ( 3 , \infty )$ 
B)  $\left( - \infty , - \frac { 6 } { 5 } \right) \cup \left( \frac { 6 } { 5 } , \infty \right)$ 
C)  $( - \infty , - 3 ) \cup ( 3 , \infty )$ 
A)  $\left( - \infty , \frac { 6 } { 5 } \right) \cup ( 3 , \infty )$ 
B)  $\left( - \infty , - \frac { 6 } { 5 } \right) \cup \left( \frac { 6 } { 5 } , \infty \right)$ 
C)  $( - \infty , - 3 ) \cup ( 3 , \infty )$

Question 17

The equation $\sqrt { x } = x ^ { 2 } - 4$ is quadratic in form.

Accepted Answer

A) True 
 B)False

Question 18

Solve the inequality. ( x + 4 )( x $-$ 4 )( x $-$ 9 ) 0

Accepted Answer

A)  $( - \infty , 4 ) \cup ( 9 , \infty )$ 
B)  $( - 4,4 ) \cup ( 9 , \infty )$ 
C)  $( - \infty , - 9 ) \cup ( 4 , \infty )$ 
A)  $( - \infty , 4 ) \cup ( 9 , \infty )$ 
B)  $( - 4,4 ) \cup ( 9 , \infty )$ 
C)  $( - \infty , - 9 ) \cup ( 4 , \infty )$

Question 19

Find each of the products and match each expression with the corresponding answer.
-$60 + 32 i$

Accepted Answer

A)  $( 8 + 2 i ) ^ { 2 }$ 
B)  $( 8 - 2 i ) ^ { 2 }$ 
A)  $( 8 + 2 i ) ^ { 2 }$ 
B)  $( 8 - 2 i ) ^ { 2 }$

Question 20

Find the quotient $\frac { - 6 + 18 i } { - 1 + i }$ and express the answer in the standard form of a complex number.

Accepted Answer

A)  12 i $-$ 6 
B)  24 $-$ 12 i 
C)  12 $-$ 6 i 
D)  $-$ 12 + 6 i 
A)  12 i $-$ 6 
B)  24 $-$ 12 i 
C)  12 $-$ 6 i 
D)  $-$ 12 + 6 i

Solve the quadratic equation by using the factoring method. x ( x + 5 ) = 6

Solve the inequality. $x ( x + 3 ) ( x - 8 ) \leq 0$

Solve the equation for the variable t . Assume that all letters represent positive numbers. $q = \frac { 1 } { 2 } n t ^ { 2 }$

Solve the quadratic equation. 3 t ² = 54 Enter your answer as two numbers, separated by a comma.

The standard form of a quadratic equation is $a x ^ { 2 } + b x + c = 0$ , where $a \neq 0$ .

Solve the quadratic equation. 2( x + 2) 2 $-$ 8 = 0 Enter your answer as two numbers, separated by a comma.

A 83-foot guy-wire makes an angle of 60 o ; with the ground and is attached to a telephone pole (see the figure). Find the distance from the base of the pole to the point on the pole where the wire is attached. Express your answer to the nearest tenth of a foot.

Find the quotient $\frac { 10 } { 11 i }$ and express the answer in the standard form of a complex number. Please enter your answer as a fraction.

Solve each quadratic equation using the method that seems most appropriate. x ² = 25 x Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the method of completing the square. x 2 $-$ 4 x $-$ 60 = 0

Write $- 3 \sqrt { - 216 }$ in terms of i and simplify.

Write $\frac { \sqrt { - 108 } } { \sqrt { 3 } }$ in terms of i , perform the indicated operations, and simplify.

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

Solve the inequality. $\frac { 8 x - 2 } { x } \geq 0$ Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. $3 y ^ { 2 } - 2 y + 1 = 0$

Solve the inequality. $\frac { x + 6 } { x - 3 } > - 4$

The equation $\sqrt { x } = x ^ { 2 } - 4$ is quadratic in form.

Solve the inequality. ( x + 4 )( x $-$ 4 )( x $-$ 9 ) 0

Find each of the products and match each expression with the corresponding answer. - $60 + 32 i$

Find the quotient $\frac { - 6 + 18 i } { - 1 + i }$ and express the answer in the standard form of a complex number.

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 using the factoring method. x ( x + 5 ) = 6

Solve the inequality. x(x+3)(x−8)≤0x ( x + 3 ) ( x - 8 ) \leq 0x(x+3)(x−8)≤0

Solve the equation for the variable t . Assume that all letters represent positive numbers. q=12nt2q = \frac { 1 } { 2 } n t ^ { 2 }q=21​nt2

Solve the quadratic equation. 3 t 2 = 54 Enter your answer as two numbers, separated by a comma.

The standard form of a quadratic equation is ax2+bx+c=0a x ^ { 2 } + b x + c = 0ax2+bx+c=0 , where a≠0a \neq 0a=0 .

Solve the quadratic equation. 2( x + 2) 2 −-− 8 = 0 Enter your answer as two numbers, separated by a comma.

A 83-foot guy-wire makes an angle of 60 o ; with the ground and is attached to a telephone pole (see the figure). Find the distance from the base of the pole to the point on the pole where the wire is attached. Express your answer to the nearest tenth of a foot.

Find the quotient 1011i\frac { 10 } { 11 i }11i10​ and express the answer in the standard form of a complex number. Please enter your answer as a fraction.

Solve each quadratic equation using the method that seems most appropriate. x 2 = 25 x Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the method of completing the square. x 2 −-− 4 x −-− 60 = 0

Write −3−216- 3 \sqrt { - 216 }−3−216​ in terms of i and simplify.

Write −1083\frac { \sqrt { - 108 } } { \sqrt { 3 } }3​−108​​ in terms of i , perform the indicated operations, and simplify.

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

Solve the inequality. 8x−2x≥0\frac { 8 x - 2 } { x } \geq 0x8x−2​≥0 Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. 3y2−2y+1=03 y ^ { 2 } - 2 y + 1 = 03y2−2y+1=0

Solve the inequality. x+6x−3>−4\frac { x + 6 } { x - 3 } > - 4x−3x+6​>−4

The equation x=x2−4\sqrt { x } = x ^ { 2 } - 4x​=x2−4 is quadratic in form.

Solve the inequality. ( x + 4 )( x −-− 4 )( x −-− 9 ) 0

Find each of the products and match each expression with the corresponding answer. - 60+32i60 + 32 i60+32i

Find the quotient −6+18i−1+i\frac { - 6 + 18 i } { - 1 + i }−1+i−6+18i​ and express the answer in the standard form of a complex number.

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 inequality. $x ( x + 3 ) ( x - 8 ) \leq 0$

Solve the equation for the variable t . Assume that all letters represent positive numbers. $q = \frac { 1 } { 2 } n t ^ { 2 }$

Solve the quadratic equation. 3 t ² = 54 Enter your answer as two numbers, separated by a comma.

The standard form of a quadratic equation is $a x ^ { 2 } + b x + c = 0$ , where $a \neq 0$ .

Solve the quadratic equation. 2( x + 2) 2 $-$ 8 = 0 Enter your answer as two numbers, separated by a comma.

Find the quotient $\frac { 10 } { 11 i }$ and express the answer in the standard form of a complex number. Please enter your answer as a fraction.

Solve each quadratic equation using the method that seems most appropriate. x ² = 25 x Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the method of completing the square. x 2 $-$ 4 x $-$ 60 = 0

Write $- 3 \sqrt { - 216 }$ in terms of i and simplify.

Write $\frac { \sqrt { - 108 } } { \sqrt { 3 } }$ in terms of i , perform the indicated operations, and simplify.

Solve the inequality. $\frac { 8 x - 2 } { x } \geq 0$ Please enter your answer in interval notation.

Solve the quadratic equation using the method that seems most appropriate to you. $3 y ^ { 2 } - 2 y + 1 = 0$

Solve the inequality. $\frac { x + 6 } { x - 3 } > - 4$

The equation $\sqrt { x } = x ^ { 2 } - 4$ is quadratic in form.

Solve the inequality. ( x + 4 )( x $-$ 4 )( x $-$ 9 ) 0

Find each of the products and match each expression with the corresponding answer. - $60 + 32 i$

Find the quotient $\frac { - 6 + 18 i } { - 1 + i }$ and express the answer in the standard form of a complex number.