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Worksheets

Quadratics

Total questions: 16

Worksheet time: 1hrs 13mins

Name
Class
Date
1.

It is a polynomial equation of degree two that can be written in the form

ax2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

a)

Linear Equation

b)

Linear Inequality

c)

Quadratic Equation

d)

Quadratic Inequality

2.

Which of the following is a quadratic equation?

a)

3s2+s43s^2+s–4  

b)

m28m1=0m^2–8m–1=0  

c)

2x1=52x–1=5  

d)


5y2+4y75y^2+4y\ge7  

3.

In the quadratic equation 2x2 – 9x – 5 = 0, which is the quadratic term?

a)

2x2

b)

x2

c)

– 9x

d)

– 5

4.

In the quadratic equation 2x2 – 9x – 5 = 0, which is the linear term?

a)

2x2

b)

x2

c)

– 9x

d)

a. – 5

5.

In the quadratic equation 2x2 – 9x – 5 = 0, what is the constant term?

a)

2x2

b)

x2

c)

– 9x

d)

– 5

6.

Solve the equation: x2 - 6x + 9=0

a)

What is the value of x when solving the equation x2 - 6x + 9=0?

b)

Which value of x satisfies the equation x2 - 6x + 9=0?

c)

Find the correct value of x in the equation x2 - 6x + 9=0.

d)

Choose the option that represents the correct value of x in the equation x2 - 6x + 9=0.

7.

Solve the equation: 4m2 = 100

a)

m = 25 ; m = -25

b)

m = 96

c)

m = -96

d)

m = 5 ; m = -5

8.

Solve the equation:
x215=2xx^2-15=-2x  

a)

x= -2 ; x= -3

b)

x= 3; x= -8

c)

x= -5 ; x= -3

d)

x= -5 ; x= 3

9.
Solve for the values of x:
(x + 2)(x - 3) = 0
a)

A.

{ 2, 3 }

b)

B.

{ -2, -3 }

c)

C.

{ 2, 3 }

d)

D.

{ -2, 3 }

10.

What is the standard form of x² - 7x = -1 ?

a)

What is the standard form of x² - 7x = -1 ?

b)

What is the standard form of x² - 7x = -1 ?

c)

x² -7x + 1 = 0

11.

Identify the nature of the roots of

8x2+5=08x^2+5=0  

a)

One real solution

b)

Two real rational solutions

c)

Two real irrational solutions

d)

No real solutions

12.

What must be added to both sides of

x210x=15x^2-10x=15  to solve it using completing the square

a)

5

b)

-5

c)

25

d)

-25

13.

What is the product of the roots of

y28y+11=0y^2-8y+11=0  ?

a)

8

b)

-8

c)

11

d)

-11

14.

What is the sum of the roots of

y28y+11=0y^2-8y+11=0  ?

a)

8

b)

-8

c)

11

d)

-11

15.

Which of the following is NOT a quadratic equation?

a)

𝟕+𝟑𝒅𝒅2=𝟎𝟕+𝟑𝒅–𝒅^2=𝟎

b)

(𝒅𝟓)(𝒅+𝟔)=𝟎(𝒅–𝟓)(𝒅+𝟔)=𝟎

c)

𝟏𝟔=(𝒅𝟓)2𝟏𝟔=(𝒅−𝟓)^2

d)

𝟐(𝒅𝟏𝟎)=𝟒𝒅𝟐(𝒅–𝟏𝟎)=𝟒𝒅

16.

Determine the values of a, b, and c for the quadratic equation: 

4x2 – 8x = 3

a)

a = 4 b = 8 c = 3

b)

a = 4 b = -8 c = 3

c)

a = -4 b = -8 c = -3

d)

a = 4 b = -8 c = -3