Question 1

Which of the following is a quadratic equation?

Accepted Answer

2 – x² = 0

Answer

x = 3

Answer

x – 2 = 0

Answer

x³ – 2x + 1 = 0

Question 2

What is the standard form of the equation 4x = 3x² – 2?

Accepted Answer

3x² – 4x – 2 = 0

Answer

3x² + 4x – 2 = 0

Answer

3x² – 4x + 2 = 0

Answer

3x² + 4x + 2 = 0

Question 3

What are the values of a, b, c of the equation in 3x^²- 4x - 2 = 0

Accepted Answer

a = 3, b = -4, c = -2

Answer

a = 3, b = 4, c = 2

Answer

a = 3, b = 4, c = -2

Answer

a = 3, b = -4, c = 2

Question 4

Which of the following is NOT a method of solving quadratic equations?

Accepted Answer

quadratic surd

Answer

quadratic formula

Answer

factoring

Answer

completing the square

Question 5

In any quadratic equations, how many possible roots are there?

Accepted Answer

2

Answer

infinite

Answer

0

Answer

1

Question 6

How many possible real roots are there in the equation x² = k, where k < 0?

Accepted Answer

0

Answer

infinite

Answer

1

Answer

2

Question 7

Which of the following is the quadratic formula?

Accepted Answer

x= $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Question 8

What property states that “If the product of two numbers is zero, then either of the two is equal to zero or both numbers are equal to zero.”?

Accepted Answer

Zero product property

Answer

Inverse property

Answer

Reflexive property

Answer

Identity property

Question 9

What is the most appropriate method to use in solving the equation x² = k, where k 0?

Accepted Answer

extracting square root

Answer

completing the square

Answer

Quadratic surd

Answer

factoring

Question 10

Below are the steps in solving quadratic equations by using the quadratic formula. Arrange the steps in order.

I. Determine the values of a, b and c.

II. Check the solution.

III. Write the equationin standard form.

IV. Simplify the result.

V. Substitute the valuesof a, b, and c in the quadratic formula.

Accepted Answer

III, I, V, IV, II

Answer

III, IV, I, V, II

Answer

V, IV, III, II, I

Answer

I, II, III, IV, V

Question 11

In completing the square, what happens to the equation when both sides are added by square of one-half of the coefficient of x?

Accepted Answer

It becomes perfect square trinomial.

Answer

It becomes some and difference of two squares.

Answer

It becomes perfect square binomial.

Answer

It becomes perfect square.

Question 12

Which of the following is a perfect square trinomial?

Accepted Answer

x² + 2x + 1

Answer

x² – 2x – 1

Answer

x² + 3x + 4

Answer

x² – 3x + 4

Question 13

How many real roots does the quadratic equation x²+ 5x + 7 = 0 have?

Accepted Answer

0

Answer

2

Answer

infinite

Answer

1

Question 14

How many real roots does the quadratic equation x² = 16?

Accepted Answer

2

Answer

0

Answer

infinite

Answer

1

Question 15

What will be added to the equation x²+ 20x + _____ to make it a perfect square trinomial?

Accepted Answer

100

Answer

200

Answer

20

Answer

10

Question 16

Which of the following equations can be solved easily by extracting square roots?

Accepted Answer

t2 = 16

Answer

2w² + 7w – 3 = 0

Answer

3v² + 2v – 8² = 0

Answer

x² + 7x + 12 = 0

Question 17

Which of the following equations can be solved easily by factoring?

Accepted Answer

x² + 6x – 16 = 0

Answer

w²+ 6w – 11 = 0

Answer

t² + 4t = -1

Answer

r² – 10 r = -17

Question 18

In solving the equation x² + 16x = 17 by completing the square, what will be added to both sides of the equation to make the left side of the equation a perfect square trinomial?

Accepted Answer

64

Answer

-17

Answer

81

Answer

8

Question 19

If you are going to solve the equation 5x – 14 =–x², which of the following is the correct substitution of the quadratic formula?

Accepted Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Answer

$x=\frac{-b\pm\sqrt{b^2}-2ac}{2a}$

Question 20

What are the zeros of 3x² – 7x – 6 =0?

Accepted Answer

3, -2/3

Answer

-3, 2/3

Answer

3, 2/3

Answer

-3, -2/3

Question 21

Which of the following are the roots of the equation x² + 3x – 54? Choose the simplified solution.

Accepted Answer

{-9, 6}

Answer

{9, 6}

Answer

{-9, -6}

Answer

{9, -6}

Question 22

What are the values of x in the equation -5x²+ 25x = 0?

Accepted Answer

x = 0 and x = 5

Answer

x=0 and x = -25

Answer

x = -5 and x = 0

Answer

x=-5 and x = 5

Question 23

The sum of two numbers is 13, and the sum of their squares is 89. Find the two numbers.

Accepted Answer

8 and 5

Answer

10 and 3

Answer

15 and -2

Answer

7 and 6

Question 24

The length of a garden is 5 m longer than its width and the area is 24 m².How long is the garden?

Accepted Answer

8 meters

Answer

9 meters

Answer

5 meters

Answer

3 meters

Question 25

The length of a garden is 2 m more than twice its width and its area is 24 m².Which of the following equations represents the given situation? Note: A = L x W

Accepted Answer

w² + w = 12

Answer

w² + 2w = 24

Answer

w² + w = 24

Answer

w² + 2w = 12

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