Question 1

Choose the correct answer.                                                                                    
 The algebraic method used to solve incomplete quadratic equation in the form $x^2$ = c.

Accepted Answer

Extracting square root

Answer

Completing the square

Answer

Quadratic Formula

Answer

Factoring

Question 2

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 To complete the square in the equation $x^2+8x=1$, what must be added to both sides of the equation?

Accepted Answer

16

Answer

4

Answer

8

Answer

64

Question 3

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 If x = $\frac{ -8  \pm  \sqrt{100-36} }{ 8  }$, then x equals

Accepted Answer

0 or -2

Answer

8 or 2

Answer

$- \frac{ 1 }{ 2 }$ or  $\frac{3}{2}$

Answer

$- \frac{ 1 }{ 2 }$ or  $- \frac{3}{2}$

Question 4

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 Which of the following quadratic equations has -4 and -5 as the roots?

Accepted Answer

$x^2+9x+20=0$

Answer

$x^2-x+20=0$

Answer

$x^2-9x+20=0$

Answer

$x^2+x-20=0$

Question 5

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 Which of the following values of $x$ makes the equation $x^2+14x-32=0$ true?                                                                                                                                                                       
I. -16			                                                                                                                                             
II. 16			                                                                                                                                            
III. 2

Accepted Answer

I and III

Answer

I, II and II

Answer

I and II

Answer

II and III

Question 6

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 The expression $b^2-4ac$ is called _____________ to describe the nature of roots of quadratic equation.

Accepted Answer

discriminant

Answer

imaginary

Answer

unequal

Answer

real roots

Question 7

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 Describe the nature of the roots of quadratic equation $x^2-8x+16=0$?

Accepted Answer

Real and equal

Answer

Real, irrational and unequal

Answer

Real , rational and unequal

Answer

Imaginary

Question 8

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 What is the sum of roots of $2x^2-5x+7=0$, where a = 2, b = 5, and c = 7?

Accepted Answer

$- \frac{5}{2}$

Answer

$- \frac{2}{5}$

Answer

$\frac{5}{2}$

Answer

$\frac{2}{5}$

Question 9

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 Which of the following is the product of roots of the quadratic equation $9x^2=-3x+5$?

Accepted Answer

$-\frac{5}{9}$

Answer

$-\frac{9}{5}$

Answer

$\frac{9}{5}$

Answer

$\frac{5}{9}$

Question 10

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 Write a quadratic equation whose roots are 2 and -5.

Accepted Answer

$x^2+3x-10=0$

Answer

$x^2-3x+10=0$

Answer

$x^2-3x-10=0$

Answer

$x^2+3x+10=0$

Question 11

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 Which of the following is $\bold{NOT}$ a quadratic equation?

Accepted Answer

$3(m-15)=12$

Answer

$3x(x-2)=10$

Answer

$(2x+5)(x-6)=0$

Answer

$x^2-5x+10=0$

Question 12

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 Is $x(x+5)=0$ transformable to quadratic equation?

Accepted Answer

yes

Answer

maybe

Answer

no

Answer

not all times

Question 13

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 What do you call to a root that does not satisfy the given equation?

Accepted Answer

extraneous

Answer

Real

Answer

double

Answer

imaginary

Question 14

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 Transform the rational Algebraic equation $\frac{6}{x}$ + $\frac{x}{6}$ = 20 into Quadratic Equation.

Accepted Answer

$x^2-120x+36$ = 0

Answer

$x^2+120x+36$ = 0

Answer

$x^2-120x-36$ = 0

Question 15

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 What is the result if you transform quadratic equation $x(x-8)=54$ into standard form?

Accepted Answer

$x^2-8x-54=0$

Answer

$x^2+8x-54=0$

Answer

$x^2-8x+54=0$

Answer

$x^2+8x+54=0$

Question 16

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 What is the symbol of the mathematical expression four more than x?

Accepted Answer

$x$+4

Answer

4-$x$

Answer

4+$x$

Answer

$x$-4

Question 17

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 What is the mathematic equation of 3n?

Accepted Answer

trice the number n

Answer

three is greater than n

Answer

n is longer than three

Answer

three more than n

Question 18

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 What is 5 times the sum of the length (l) and width (w) in symbol?

Accepted Answer

5(l+w)

Answer

5+lw

Answer

5(lw)

Answer

5lw

Question 19

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 How would you solve the first step in the equation $x^2-5x=100$?

Accepted Answer

Transform to standard form

Answer

add $x^2+5x$

Answer

Solve by factoring

Answer

transforms 3x to the other side

Question 20

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 Formulate an equation relating the width, length and the area of the floor in the problem, the length of a rectangular floor is 9m more than its width. The area of a floor is $90m^2$.

Accepted Answer

$x(x+9)=90$

Answer

$(x+9)=90$

Answer

$x+9=90$

Answer

$x(x+90)=9$

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