Question 1

What refers to a function that describes a polynomial equation of degree 2?

Accepted Answer

Quadratic Function

Answer

Quartic Function

Answer

Linear Function

Answer

Cubic Function

Question 2

A perfect square trinomial is a trinomial in the form _________.

Accepted Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Question 3

Whichof the following is the quadratic formula?

Accepted Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Question 4

In a quadratic equation, the expression b² -4ac is called _________.

Accepted Answer

discriminant

Answer

discrimination

Answer

discipline

Answer

disciple

Question 5

What formula will you use if you want to get the sum of the roots of a quadratic equation?

Accepted Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Question 6

The product of two consecutive even integers is 120. The first integer is 10, what is the second integer?

Accepted Answer

12

Answer

14

Answer

8

Answer

11

Question 7

Which of the following is being used to indicate inequality?

Accepted Answer

<

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Question 8

In graphing the solution set of quadratic inequalities, what kind of circle will be used if the given inequality symbol is less than ( ?

Accepted Answer

open circle

Answer

shaded circle

Answer

big circle

Answer

red circle

Question 9

In a quadratic function, what variable is the independent variable?

Accepted Answer

x variable

Answer

f(x)

Answer

a variable

Answer

y variable

Question 10

What is the graph of a quadratic function?

Accepted Answer

Parabola

Answer

Zigzag line

Answer

Circle

Answer

Straight line

Question 11

What is the highest or lowest point doe the parabola reach?

Accepted Answer

vertex

Answer

symmetry

Answer

axis

Answer

intercepts

Question 12

What do you call the line that divides the parabola into two equal parts?

Accepted Answer

axis of symmetry

Answer

axis

Answer

vertex

Answer

intercepts

Question 13

In f(x) = ax² + bx + c, ifa > 0, the parabola opens________.

Accepted Answer

upward

Answer

downward

Answer

to the right

Answer

to the left

Question 14

In f(x) = ax² + bx + c, if a < 0, the parabola opens ________.

Accepted Answer

downward

Answer

to the right

Answer

upward

Answer

to the left

Question 15

In the equation y = a(x – h)² + k, what are the coordinates of the vertex of the parabola?

Accepted Answer

(h,k)

Answer

(x,k)

Answer

(x,h)

Answer

(x,y)

Question 16

What is the standard form of the quadratic equation (x -1) (x + 2) = 0?

Accepted Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Answer

$a^2+2ab+b^2$

Question 17

What must be added to the binomial x² + 3x + __ to make it a perfect square trinomial (PST)?

Accepted Answer

9/4

Answer

3

Answer

9

Answer

4/9

Question 18

If the discriminant of a quadratic equation is equal to zero, how do you describe the nature of its roots?

Accepted Answer

real, rational, equal

Answer

real, irrational, unequal

Answer

imaginary

Answer

real, irrational, equal

Question 19

What is the sum of the roots of quadratic equation 4x²+8x – 3 = 0?

Accepted Answer

-2

Answer

-12

Answer

-15/8

Answer

8/5

Question 20

The product of two consecutive positive integers is at least 110. Whatis the representation of the given problem?

Accepted Answer

x(x + 1) $\ge$ 110

Answer

x(x + 1) < 110

Answer

x(x + 1) > 110

Answer

x(x + 1) $\ge$ 110

Question 21

Which among the given graphs represents a quadratic function?

Accepted Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/2261f156e9192f6ef22c9300f64d913ee735608a.png

Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/c5669edf6f0d4232116dc37d7286834b38ff9ae9.png

Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/c24a55302b9128bbfa702b21ed51379c8a2ddb09.png

Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/247fd0a7d1cd041f11ee78e363fe9f97acdbc377.png

Question 22

What is the vertex of the of the quadratic function with the graph

Accepted Answer

(-1,-2)

Answer

(1,2)

Answer

(-1,2)

Answer

(1,-2)

Question 23

What is the axis of symmetry of the given graph

Accepted Answer

-1

Answer

-2

Answer

1

Answer

0

Question 24

To graph y = (x + 2)², translate the graph of y = x² into what direction?

Accepted Answer

2units to the left of the origin

Answer

2units downward

Answer

2units upward

Answer

2 units to the right of the origin

Question 25

The graph of f(x) = x² – 3 is obtained by sliding the graph y = x²_____.

Accepted Answer

3units downward

Answer

3 units to the right of the origin

Answer

3units to the left of the origin

Answer

3 units upward

Question 26

Solve for the value of x in the equation 2(x – 1)² = 72.

Accepted Answer

-5and 7

Answer

5and 8

Answer

-4and 10

Answer

4and 9

Question 27

Find the discriminant of 4x²- 5x – 7 = 0.

Accepted Answer

137

Answer

127

Answer

87

Answer

97

Question 28

Which is the equivalent quadratic equation of (x + 5)² + (x – 2)² = 37?

Accepted Answer

2x²+ 6x – 8 = 0

Answer

x²+ 3x – 10 = 0

Answer

x²- 3x – 10 = 0

Answer

2x²- 6x – 8 = 0

Question 29

Transform $\ge$

Accepted Answer

5x²- 4x – 12 = 0

Answer

4x²+ 9x – 20 = 0

Answer

4x²- 9x + 20 = 0

Answer

5x²+ 4x + 12 = 0

Question 30

Find a number such that its square increase by 3 is 52.

Accepted Answer

7

Answer

6

Answer

4

Answer

5

Question 31

The length of a garden is 5meters longer than its width and the area is 14 m². How long is the garden?

Accepted Answer

7 meters

Answer

9 meters

Answer

16 meters

Answer

15 meters

Question 32

The product of two consecutive positive integers is at most 50. What is the representation of the given problem?

Accepted Answer

x(x + 1) $\ge$ 50

Answer

x(x + 1) $\ge$ 50

Answer

x(x + 1) < 50

Answer

x(x + 1) >50

Question 33

What are the coordinates of the vertex of y = x² + 5?

Accepted Answer

(0,5)

Answer

(0,-5)

Answer

(1,5)

Answer

(1,-5)

Question 34

How is f(x) = x² – 6x + 14 written in vertex form?

Accepted Answer

f(x) = (x - 3)² + 5

Answer

f(x) = (x - 3)²– 5

Answer

f(x)= (x - 6)² + 5

Answer

f(x)= (x + 3)² + 2

Question 35

How is f(x) = 3(x - 2)² + 4 written in standard form?

Accepted Answer

f(x)= 3x² - 12x + 16

Answer

f(x)= 3x² + 12x + 16

Answer

f(x)= 3x² + 12x – 16

Answer

f(x) = 3x² - 12x – 16

Question 36

What is the nature of the roots of a quadratic equation if the discriminant is negative?

Accepted Answer

The roots are rational and equal

Answer

The roots are not real

Answer

The roots are irrational and not equal

Answer

The roots are rational and not equal

Question 37

The floor of a conference hall can be covered completely with tiles. Its length is 36 ft longer than its width. The area of the floor is less than 2040 square ft. How would you represent the width of the floor?

Accepted Answer

x-36

Answer

36

Answer

x

Answer

x+36

Question 38

The length of a garden is two more than twice its width and its area is 24 m².Which following is the equations represents the given situation?

Accepted Answer

2x² + 2x = 24

Answer

2x² + 2x = 12

Answer

2x² + x = 12

Answer

2x² + x = 24

Question 39

The length of a rectangle is 3 meters more than its width. The area is28 sq. m. What is the perimeter of the rectangle?

Accepted Answer

22  meters

Answer

4 meters

Answer

11 meters

Answer

9 meters

Question 40

Which of the following coordinates of points belong to the solution set of the inequality y < 2x² +5x -1?

Accepted Answer

(3,1)

Answer

(-2,9)

Answer

(1,6)

Answer

(-3,2)

Question 41

What is the sum and product of the the roots of the quadratic equation x²+6x -27 = 0?

Accepted Answer

-6, -27

Answer

-3, 27

Answer

14, 27

Answer

-7, -27

Question 42

What is the quadratic term of the equation $\ge$ when transformedto quadratic equation?

Accepted Answer

9x2

Answer

-4x2

Answer

4x2

Answer

-9x2

Question 43

Which of the following rational algebraic equations is transformable into a quadratic equation?

Accepted Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/7fe3f79d7a20b51b3af4430ccb28cfeee80cc8fb.png

Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/1a137455ad2c387bf416bef352031611b8652ca0.png

Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/bcae1fc139e82bcce3e3da662971b8afcbd399ed.png

Answer

https://uploads.quizalize.com/2dec7693-8a99-45b3-8cd7-e91705dc2ec0/question/6b3b36730f4ebba48ab12eb99cdfb0952bafff1e.png

Question 44

Which of the following is the vertex form of the quadratic function f(x)= x² + 2x – 1?

Accepted Answer

(x + 1)² - 2

Answer

(x + 1)² + 1

Answer

(x + 1)² – 1

Answer

(x + 1)² - 5

Question 45

Which of the following is the equation of the quadratic function represented by the table of values below

Accepted Answer

y = -x² - 4

Answer

y = -2x² - 4

Answer

y = x² + 4

Answer

y = -x² + 4

Question 46

Find the equation of the quadratic function whose zeros are 4 and 2

Accepted Answer

f(x) = x² – 6x +8

Answer

f(x) = x² + 6x + 2

Answer

f(x) = x² – 4x + 2

Answer

f(x) = x² – 6x + 4

Question 47

Find the equation of the quadratic function whose zeros are 2 and -3 and contains the point (0, 3).

Accepted Answer

f(x) = - $\ge$ x² – $\frac{1}{2}$ x + 3

Answer

f(x) = x² – $\frac{1}{2}$ x + 3

Answer

f(x) = - $\ge$ x² – $\frac{1}{2}$ x + 6

Answer

f(x) = $\ge$ x² + $\frac{1}{2}$ x + 3

Question 48

Find the dimensions of the largest rectangular field that can be enclosed with 100 m of wire.

Accepted Answer

25 m x 25 m

Answer

50 m x 25 m

Answer

40 m x 60 m

Answer

50 m x 50 m

Question 49

An object is fired straight up with a velocity of 64 ft/s. Its altitude (height) h after t seconds is given by h(t) = -16t² +64t. How does the projectile hit the ground?

Accepted Answer

4 seconds

Answer

6 seconds

Answer

5 seconds

Answer

3 seconds

Question 50

The batter hits the softball and its follows a path in which the height(h) is given by h(t) = -2t² + 8t +3, where t is the time in seconds elapsed since the ball was pitched. What is the maximum height reached by the ball?

Accepted Answer

11 meters

Answer

12 meters

Answer

14 meters

Answer

13 meters

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