Question 1

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

Accepted Answer

A)  $-$ 10 i $-$ 25 
B)  $-$ 25 i + 10 
C)  25 i $-$ 10 
D)  10 i $-$ 25 
A)  $-$ 10 i $-$ 25 
B)  $-$ 25 i + 10 
C)  25 i $-$ 10 
D)  10 i $-$ 25

Question 2

Write $- 3 \sqrt { - 147 }$ in terms of i and simplify.

Accepted Answer

A)  $21 i \sqrt { 3 }$ 
B)  $- 21 \sqrt { 3 }$ 
C)  $- 21 i \sqrt { 3 }$ 
A)  $21 i \sqrt { 3 }$ 
B)  $- 21 \sqrt { 3 }$ 
C)  $- 21 i \sqrt { 3 }$

Question 3

Solve the quadratic equation using the method that seems most appropriate to you. $4 y ^ { 2 } - 2 y + 1 = 0$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

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

Question 4

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
-$n = - 5 , n = \frac { 1 } { 2 }$

Accepted Answer

A)  $2 n ^ { 2 } + 11 n - 6 = 0$ 
B)  $2 n ^ { 2 } + 9 n - 5 = 0$ 
C)  $2 n ^ { 2 } + 15 n - 8 = 0$ 
A)  $2 n ^ { 2 } + 11 n - 6 = 0$ 
B)  $2 n ^ { 2 } + 9 n - 5 = 0$ 
C)  $2 n ^ { 2 } + 15 n - 8 = 0$

Question 5

Solve the inequality. $9 x ^ { 2 } + 30 x + 25 \leq 0$

Accepted Answer

A)  $x = - \frac { 5 } { 3 }$ 
B)  $x = \frac { 3 } { 5 }$ 
C)  $x = \frac { 5 } { 3 }$ 
A)  $x = - \frac { 5 } { 3 }$ 
B)  $x = \frac { 3 } { 5 }$ 
C)  $x = \frac { 5 } { 3 }$

Question 6

Solve the inequality. $( x + 7 ) ^ { 2 } \geq 0$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(( x + 7...

Question 7

The square of half the linear term is sometimes negative.

Accepted Answer

A) True 
 B)False

Question 8

Use the quadratic formula to solve the quadratic equation. $-$ 10 x 2 + 20 x $-$ 11 = 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 9

Find two consecutive whole numbers such that the sum of their squares is 25.

Accepted Answer

A)  6 and 1 
B)  5 and 2 
C)  -1 and 8 
D)  3 and 4 
E)  1 and 6 
A)  6 and 1 
B)  5 and 2 
C)  -1 and 8 
D)  3 and 4 
E)  1 and 6

Question 10

Larry drove 360 miles in 2 hour more than it took Terrell to drive 300 miles. Terrell drove at an average rate of 5 miles per hour faster than Larry. How fast did Larry travel?

Accepted Answer

A)  42 mph 
B)  49 mph 
C)  46 mph 
D)  45 mph 
E)  40 mph 
A)  42 mph 
B)  49 mph 
C)  46 mph 
D)  45 mph 
E)  40 mph

Question 11

Write $- 3 \sqrt { - 45 }$ in terms of i and simplify.

Accepted Answer

A)  $- 9 i \sqrt { 5 }$ 
B)  $9 i \sqrt { 5 }$ 
C)  $- 9 \sqrt { 5 }$ 
A)  $- 9 i \sqrt { 5 }$ 
B)  $9 i \sqrt { 5 }$ 
C)  $- 9 \sqrt { 5 }$

Question 12

The set of complex numbers is a subset of the set of imaginary numbers.

Accepted Answer

A) True 
 B)False

Question 13

Numbers where the given polynomial or algebraic expression equals zero or is undefined are critical numbers.

Accepted Answer

A) True 
 B)False

Question 14

Solve the radical equation. Don t forget, you must check potential solutions. $\sqrt { 5 x } + 10 = x$

Accepted Answer

A)  x = 5 
B)  x = 20 
C)  x = 20 or x = 5 
D)  x = 20 or x = $-$ 5 
A)  x = 5 
B)  x = 20 
C)  x = 20 or x = 5 
D)  x = 20 or x = $-$ 5

Question 15

Solve the quadratic equation. (2 x + 2) 2 = 49 Enter your answer as two numbers, separated by a comma.

Accepted Answer

Question 16

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 + 2 kx $-$ 8 k 2 = 0

Accepted Answer

A)  x = $-$ 2 k or x = $-$ 4 
B)  x = $-$ 3 or x = 5 k 
C)  x = 2 k or x = $-$ 4 k 
D)  x = 8 or x = k 
A)  x = $-$ 2 k or x = $-$ 4 
B)  x = $-$ 3 or x = 5 k 
C)  x = 2 k or x = $-$ 4 k 
D)  x = 8 or x = k

Question 17

Solve the inequality. x ( 5 x $-$ 13 ) 6

Accepted Answer

A)  $[ - 2,3 ]$ 
B)  $( - \infty , 0.4 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 0.4 ) \cup ( 3 , \infty )$ 
A)  $[ - 2,3 ]$ 
B)  $( - \infty , 0.4 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 0.4 ) \cup ( 3 , \infty )$

Question 18

Use the quadratic formula to solve the quadratic equation. $-$ 22 m 2 + 2 m + 1 = 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 19

For this problem use the isosceles right triangle in the figure. If c = 14 meters find a and b . 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 isosceles right...

Question 20

Solve each inequality. Match each inequality with the corresponding interval.
-$( - 6 , - 1 )$

Accepted Answer

A)  $( x + 1 ) ( x + 6 )  0$ 
C)  $( x - 6 ) ( x - 1 ) < 0$ 
A)  $( x + 1 ) ( x + 6 )  0$ 
C)  $( x - 6 ) ( x - 1 ) < 0$

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

Write $- 3 \sqrt { - 147 }$ in terms of i and simplify.

Solve the quadratic equation using the method that seems most appropriate to you. $4 y ^ { 2 } - 2 y + 1 = 0$ Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $n = - 5 , n = \frac { 1 } { 2 }$

Solve the inequality. $9 x ^ { 2 } + 30 x + 25 \leq 0$

Solve the inequality. $( x + 7 ) ^ { 2 } \geq 0$ Please enter your answer in interval notation.

The square of half the linear term is sometimes negative.

Use the quadratic formula to solve the quadratic equation. $-$ 10 x 2 + 20 x $-$ 11 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Find two consecutive whole numbers such that the sum of their squares is 25.

Larry drove 360 miles in 2 hour more than it took Terrell to drive 300 miles. Terrell drove at an average rate of 5 miles per hour faster than Larry. How fast did Larry travel?

Write $- 3 \sqrt { - 45 }$ in terms of i and simplify.

The set of complex numbers is a subset of the set of imaginary numbers.

Numbers where the given polynomial or algebraic expression equals zero or is undefined are critical numbers.

Solve the radical equation. Don t forget, you must check potential solutions. $\sqrt { 5 x } + 10 = x$

Solve the quadratic equation. (2 x + 2)² = 49 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 + 2 kx $-$ 8 k 2 = 0

Solve the inequality. x ( 5 x $-$ 13 ) 6

Use the quadratic formula to solve the quadratic equation. $-$ 22 m 2 + 2 m + 1 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

For this problem use the isosceles right triangle in the figure. If c = 14 meters find a and b . Express the answers in simplest radical form as numbers without the units separated by a comma.

Solve each inequality. Match each inequality with the corresponding interval. - $( - 6 , - 1 )$

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

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

Write −3−147- 3 \sqrt { - 147 }−3−147​ in terms of i and simplify.

Solve the quadratic equation using the method that seems most appropriate to you. 4y2−2y+1=04 y ^ { 2 } - 2 y + 1 = 04y2−2y+1=0 Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - n=−5,n=12n = - 5 , n = \frac { 1 } { 2 }n=−5,n=21​

Solve the inequality. 9x2+30x+25≤09 x ^ { 2 } + 30 x + 25 \leq 09x2+30x+25≤0

Solve the inequality. (x+7)2≥0( x + 7 ) ^ { 2 } \geq 0(x+7)2≥0 Please enter your answer in interval notation.

The square of half the linear term is sometimes negative.

Use the quadratic formula to solve the quadratic equation. −-− 10 x 2 + 20 x −-− 11 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Find two consecutive whole numbers such that the sum of their squares is 25.

Larry drove 360 miles in 2 hour more than it took Terrell to drive 300 miles. Terrell drove at an average rate of 5 miles per hour faster than Larry. How fast did Larry travel?

Write −3−45- 3 \sqrt { - 45 }−3−45​ in terms of i and simplify.

The set of complex numbers is a subset of the set of imaginary numbers.

Numbers where the given polynomial or algebraic expression equals zero or is undefined are critical numbers.

Solve the radical equation. Don t forget, you must check potential solutions. 5x+10=x\sqrt { 5 x } + 10 = x5x​+10=x

Solve the quadratic equation. (2 x + 2) 2 = 49 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 + 2 kx −-− 8 k 2 = 0

Solve the inequality. x ( 5 x −-− 13 ) 6

Use the quadratic formula to solve the quadratic equation. −-− 22 m 2 + 2 m + 1 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

For this problem use the isosceles right triangle in the figure. If c = 14 meters find a and b . Express the answers in simplest radical form as numbers without the units separated by a comma.

Solve each inequality. Match each inequality with the corresponding interval. - (−6,−1)( - 6 , - 1 )(−6,−1)

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

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

Write $- 3 \sqrt { - 147 }$ in terms of i and simplify.

Solve the quadratic equation using the method that seems most appropriate to you. $4 y ^ { 2 } - 2 y + 1 = 0$ Please enter your answer as two numbers, separated by a comma.

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $n = - 5 , n = \frac { 1 } { 2 }$

Solve the inequality. $9 x ^ { 2 } + 30 x + 25 \leq 0$

Solve the inequality. $( x + 7 ) ^ { 2 } \geq 0$ Please enter your answer in interval notation.

Use the quadratic formula to solve the quadratic equation. $-$ 10 x 2 + 20 x $-$ 11 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Write $- 3 \sqrt { - 45 }$ in terms of i and simplify.

Solve the radical equation. Don t forget, you must check potential solutions. $\sqrt { 5 x } + 10 = x$

Solve the quadratic equation. (2 x + 2)² = 49 Enter your answer as two numbers, separated by a comma.

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 + 2 kx $-$ 8 k 2 = 0

Solve the inequality. x ( 5 x $-$ 13 ) 6

Use the quadratic formula to solve the quadratic equation. $-$ 22 m 2 + 2 m + 1 = 0 Please enter your answer as fractions and/or two numbers, separated by a comma.

Solve each inequality. Match each inequality with the corresponding interval. - $( - 6 , - 1 )$