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Worksheets

Math 9

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Which of the following is a quadratic equation?

a)

𝑥2 - 2x + 7       

b)

 2𝑥3 + 𝑥2 – 5 = 0       

c)

3𝑥 + 5 = 0

d)

2𝑥 + 𝑥2 – 5 = 5

2.

Given (𝑥 – 1)2 + 3 = 2𝑥 + 1, find the value of the constant term.

a)

-3

b)

-1

c)

1

d)

3

3.

Which is the correct substitution values of a, b and c in the quadratic formula of the equation

 ?

a)

b)

c)

d)

4.

What are the roots of 𝑥2 – 144 = 0?

a)

± 24    

b)

± 11    

c)

± 12

d)

± 13

5.

How many real number solutions does the equation 𝑥2 = 𝑐, where 𝑐 > 0 have?

a)

One

b)

Two

c)

Three

d)

No Solution

6.

Which of the following is the practical way to solve 𝑥2 – 25 = 0?

a)

Factoring

b)

Extracting the square root

c)

Quadratic Formula

d)

Completing the square

7.

The expression  is a perfect square trinomial if a and c are perfect square and b is twice the _____ of square roots of a and c.

a)

sum     

b)

product

c)

factor

d)

constant

8.

What is the square root of 81?

a)

16

b)

9

c)

8

d)

7

9.

Which of the following quadratic equation will become a perfect square trinomial if 36 will be added to both side of equation?

a)

x2 - 12x =0

b)

x2 - 6x = 0

c)

x2 - 9x = 0

d)

6x2 + 24x = 0

10.

What is the solution set of 6x2 - 24x + 24 = 0?

a)

{2,1}

b)

{2,2}

c)

{3,4}

d)

{2,6}

11.

Which of the following is equivalent 𝑥2 + 2𝑥 – 8 = 0?

a)

(𝑥 + 1) (𝑥 – 8)  =  0

b)

(𝑥 + 4) (𝑥 – 2) = 0

c)

(𝑥 + 2)(𝑥 – 4) =  0

d)

(𝑥 + 1)(𝑥 + 8) = 0

12.

Which of the following is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

a)

The roots are not real.    

b)

The roots are irrational and not equal.       

c)

The roots are rational and equal.

d)

The roots are rational and not equal.

13.

Let s and p be the roots of the equation . What is sp?

a)

n

b)

-n

c)

t

d)

-t

14.

Given the quadratic equation 𝑎𝑥2 + 𝑏𝑥+ 𝑐=0  where 𝑎, 𝑏, 𝑐  are real numbers  and 𝑎 ≠ 0, which of the following is the product of its roots?

a)

a

b)

c

c)

-b/a

d)

c/a

15.

What is the solution of x2 – 6x + 9 = 0?

a)

-4

b)

-3

c)

3

d)

4

16.

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

a)

b)

c)

d)

17.

The length of a garden is 2m more than twice its width and its area is 24. Which of the following equations represents the given situation?

a)

 x2 + x = 12

b)

 x2 + 2x = 12

c)

 x2 + x = 24

d)

 x2 + 2x = 24

18.

What is the solution set of x2 – 3x < 0?

a)

[0,3]

b)

(0,3)

c)

[0,3)

d)

(0,3]

19.

Which of the following is the mathematical translation of “The sum of the square of x and 4 is greater than x”?

a)

(𝑥 + 4)2 > 𝑥

b)

+ 4 > 𝑥

c)

(𝑥 + 4)2 ≥ 𝑥

d)

x2 + 4 < 𝑥

20.

What is the solution set of x2 - 2x - 3 < 0?

a)

(-1,3)

b)

-1 < x < 3

c)

[-1,3]

d)

(,3][3,+)\left(-\infty,3\right]\cup\left[3,+\infty\right)

21.

The length of a wall is 17m more than its width. The area of the wall is less than or equal to 60m2. Which of the following is the representation of the length of the wall?

a)

17w 

b)

17 + w

c)

17 > w

d)

17 < w

22.

In response to "Bayanihan to Heal as One Act the Brgy. Captain of Malgasang I has offered the barangay. hall that will be use as an isolation room for the infected Imuseños of Corona Virus Disease (COVID-19) in case of urgency. If the width of the hall is 12 meters less than its length and the area of its floor is less than or equal to 189 square meters. Find the possible maximum dimensions of the Hall.

a)

21m by 9m

b)

22m by 8m

c)

25m by 10m

d)

30m by 15m

23.

What is a function used in solving extreme function, value, and motion problems such as trajectory and acceleration?

a)

Linear Function

b)

Quadratic Function

c)

Radical Function

d)

Rational Function

24.

What is the graph of quadratic functions?

a)

Asymptote

b)

Diagonal

c)

Parabola

d)

Vertex

25.

What is the graph of quadratic functions?

a)

Asymptote

b)

Diagonal

c)

Parabola

d)

Vertex