Question 1

For this problem use the triangle in the figure. If a = 10 feet find b and c . 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 triangle in...

Question 2

Find  (3+9i) (−4−5i) ( 3 + 9 i )  ( - 4 - 5 i ) (3+9i) (−4−5i)   and express the answer in the standard form of a complex number.

Accepted Answer

A)    −57−36i- 57 - 36 i−57−36i 
B)    33+51i33 + 51 i33+51i 
C)    −12−45i- 12 - 45 i−12−45i 
D)    33−51i33 - 51 i33−51iE) B) and C)
F) A) and D)

Question 3

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2  −-−  4 x  −-−  32 = 0

Accepted Answer

A)   x = 4 or x = 8
B)   x =  −-−  4 or x = 8
C)   x =  −-−  4 or x =  −-−  8
D)   x = 4 or x =  −-−  8 E) A) and D)
F) All of the above

Question 4

Solve each quadratic equation using the method that seems most appropriate. n ( n + 15 )  = 184

Accepted Answer

A)   n = 23, n = -8
B)   n = -23, n = 8
C)   n = 23, n = 8D) None of the above
E) B) and C)

Question 5

A man did a job for $1,960. It took him 7 hours longer than he expected, and therefore he earned $5 per hour less than he anticipated. How long did he expect that it would take to do the job? __________ hours

Accepted Answer

The answer of A man did a job for $1,960....

Question 6

Solve the inequality. $\frac { x + 7 } { x - 4 } > - 3$ Please enter your answer in interval notation.

Accepted Answer

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

Question 7

Use the quadratic formula to solve the quadratic equation. 288 x 2 $-$ 600 x = $-$ 297 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

Write  −64−49\sqrt { - 64 } \sqrt { - 49 }−64​−49​  in terms of i , perform the indicated operations, and simplify.

Accepted Answer

A)   56 i
B)   56
C)    −-−  56 D) All of the above
E) None of the above

Question 9

Find two numbers such that their sum is 14 and their product is 48.

Accepted Answer

A)   8 and 5
B)   2 and 11
C)   4 and 9
D)   6 and 8
E)   9 and 4F) B) and E)
G) C) and D)

Question 10

The product of a complex number and its conjugate is always a real number.

Accepted Answer

A) True 
 B)False

Question 11

Solve the inequality. $\frac { x + 1 } { x - 6 } \geq 1$ Please enter your answer in interval notation.

Accepted Answer

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

Question 12

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution.
- x=−3,x=1x = - 3 , x = 1x=−3,x=1

Accepted Answer

A)    x(x+4) =5x ( x + 4 )  = 5x(x+4) =5  
B)    x(x+2) =3x ( x + 2 )  = 3x(x+2) =3  
C)    x(x+9) =10x ( x + 9 )  = 10x(x+9) =10D) A) and B)
E) A) and C)

Question 13

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 6 x $-$ 27 = 0 Enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the quadratic equation by factoring and...

Question 14

The graph of an equation with no real roots does not cross the x -axis.

Accepted Answer

A) True 
 B)False

Question 15

The perimeter of a rectangle is 30 inches and its area is 54 square inches. Find the length and width of the rectangle.

Accepted Answer

A)   5 in. by 8 in.
B)   8 in. by 9 in.
C)   9 in. by 10 in.
D)   6 in. by 9 in.
E)   6 in. by 11 in.F) A) and C)
G) B) and C)

Question 16

Add or subtract as indicated. (  −-−  3  −-−  4 i )   −-−  (  −-−  6  −-−  7 i )

Accepted Answer

A)   11 + 9 i
B)    −-−  3 + 11 i
C)    −-−  9  −-−  3 i
D)   3 + 3 i E) All of the above
F) A) and D)

Question 17

Find $( 1 + 3 i ) ( 6 + 4 i )$ and express the answer in the standard form of a complex number.

Accepted Answer

The answer of Find \(( 1 + 3 i )...

Question 18

To solve a quadradic equation, if the coefficients give very few factoring possibilities to consider, using the quadratic formula would be a good choice.

Accepted Answer

A) True 
 B)False

Question 19

Solve the inequality.  9x−4x≥0\frac { 9 x - 4 } { x } \geq 0x9x−4​≥0

Accepted Answer

A)    (−∞,4]∪[9,∞) ( - \infty , 4 ] \cup [ 9 , \infty ) (−∞,4]∪[9,∞)  
B)    (−∞,0) ∪[49,∞) ( - \infty , 0 )  \cup \left[ \frac { 4 } { 9 } , \infty \right) (−∞,0) ∪[94​,∞)  
C)    (−∞,−9]∪[4,∞) ( - \infty , - 9 ] \cup [ 4 , \infty ) (−∞,−9]∪[4,∞) D) B) and C)
E) A) and B)

Question 20

Write  −2516\sqrt { - \frac { 25 } { 16 } }−1625​​  in terms of i and simplify.

Accepted Answer

A)    54\frac { 5 } { 4 }45​ 
B)    54i\frac { 5 } { 4 } i45​i 
C)    −54i- \frac { 5 } { 4 } i−45​iD) A) and B)
E) A) and C)

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 −-− 4 x −-− 32 = 0

Correct AnswerverifiedShow Answer

Solve the inequality. x+7x−4>−3\frac { x + 7 } { x - 4 } > - 3x−4x+7​>−3 Please enter your answer in interval notation.

Correct AnswerverifiedShow Answer

For this problem use the triangle in the figure. If a = 10 feet find b and c . Express the answers in simplest radical form as numbers without the units separated by a comma.

Correct AnswerverifiedShow Answer

Solve the inequality. x+1x−6≥1\frac { x + 1 } { x - 6 } \geq 1x−6x+1​≥1 Please enter your answer in interval notation.

Correct AnswerverifiedShow Answer

Solve each quadratic equation using the method that seems most appropriate. n ( n + 15 ) = 184

Correct AnswerverifiedShow Answer

Write −64−49\sqrt { - 64 } \sqrt { - 49 }−64​−49​ in terms of i , perform the indicated operations, and simplify.

Correct AnswerverifiedShow Answer

Use the quadratic formula to solve the quadratic equation. 288 x 2 −-− 600 x = −-− 297 Please enter your answer as fractions and/or two numbers, separated by a comma.

Correct AnswerverifiedShow Answer

Add or subtract as indicated. ( −-− 3 −-− 4 i ) −-− ( −-− 6 −-− 7 i )

Correct AnswerverifiedShow Answer

The graph of an equation with no real roots does not cross the x -axis.

Correct AnswerverifiedShow Answer

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 −-− 6 x −-− 27 = 0 Enter your answer as two numbers, separated by a comma.

Correct AnswerverifiedShow Answer

To solve a quadradic equation, if the coefficients give very few factoring possibilities to consider, using the quadratic formula would be a good choice.

Correct AnswerverifiedShow Answer

Solve the inequality. 9x−4x≥0\frac { 9 x - 4 } { x } \geq 0x9x−4​≥0

Correct AnswerverifiedShow Answer

Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - x=−3,x=1x = - 3 , x = 1x=−3,x=1

Correct AnswerverifiedShow Answer

The product of a complex number and its conjugate is always a real number.

Correct AnswerverifiedShow Answer

Find two numbers such that their sum is 14 and their product is 48.

Correct AnswerverifiedShow Answer

Find (3+9i) (−4−5i) ( 3 + 9 i ) ( - 4 - 5 i ) (3+9i) (−4−5i) and express the answer in the standard form of a complex number.

Correct AnswerverifiedShow Answer

Find (1+3i)(6+4i)( 1 + 3 i ) ( 6 + 4 i )(1+3i)(6+4i) and express the answer in the standard form of a complex number.

Correct AnswerverifiedShow Answer

A man did a job for $1,960. It took him 7 hours longer than he expected, and therefore he earned $5 per hour less than he anticipated. How long did he expect that it would take to do the job? __________ hours

Correct AnswerverifiedShow Answer

Write −2516\sqrt { - \frac { 25 } { 16 } }−1625​​ in terms of i and simplify.

Correct AnswerverifiedShow Answer

The perimeter of a rectangle is 30 inches and its area is 54 square inches. Find the length and width of the rectangle.

Correct AnswerverifiedShow Answer

Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 4 x $-$ 32 = 0

Correct Answer
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Solve the inequality. $\frac { x + 7 } { x - 4 } > - 3$ Please enter your answer in interval notation.

Correct Answer
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Correct Answer
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Solve the inequality. $\frac { x + 1 } { x - 6 } \geq 1$ Please enter your answer in interval notation.

Correct Answer
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Correct Answer
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Write $\sqrt { - 64 } \sqrt { - 49 }$ in terms of i , perform the indicated operations, and simplify.

Correct Answer
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Use the quadratic formula to solve the quadratic equation. 288 x 2 $-$ 600 x = $-$ 297 Please enter your answer as fractions and/or two numbers, separated by a comma.

Correct Answer
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Add or subtract as indicated. ( $-$ 3 $-$ 4 i ) $-$ ( $-$ 6 $-$ 7 i )

Correct Answer
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Correct Answer
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Solve the quadratic equation by factoring and applying the property ab = 0 if and only if a = 0 or b = 0. x 2 $-$ 6 x $-$ 27 = 0 Enter your answer as two numbers, separated by a comma.

Correct Answer
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Correct Answer
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Solve the inequality. $\frac { 9 x - 4 } { x } \geq 0$

Correct Answer
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Solve each quadratic equation by using the factoring method. Match each equation with the corresponding solution. - $x = - 3 , x = 1$

Correct Answer
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Correct Answer
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Correct Answer
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Find $( 3 + 9 i ) ( - 4 - 5 i )$ and express the answer in the standard form of a complex number.

Correct Answer
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Find $( 1 + 3 i ) ( 6 + 4 i )$ and express the answer in the standard form of a complex number.

Correct Answer
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Correct Answer
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Write $\sqrt { - \frac { 25 } { 16 } }$ in terms of i and simplify.

Correct Answer
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Correct Answer
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