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Worksheets

Quadratic Equations and Expressions

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.
Two numbers differs by 7 and their product is 120.
Find the two possible numbers.
a)
8 & 15
b)
7 & 14
c)
9 & 16
d)
10 & 17
2.

Factorize: x2 – 5x – 24

a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
3.

Factorize: n2-13n+40

a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
4.

What are the solutions to the equation x2 - 4x = 32

a)

-16 or 2

b)

-8 or 4

c)

-4 or 8

d)

4 or 16

5.

Solve: x2 + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

6.

Factorize: 9 - 4 x²

a)
(3 - 2x)²
b)
(3 + 2x)²
c)
(3 - 2x)(3 + 2x)
d)
(2x - 3)(2x + 3)
7.
Solve the following quadratic equation.
(x + 4)² = 5x + 20
a)
x = 1 , x = 4
b)
x = -1 , x = 4
c)
x = 1 , x = -4
d)
x = -1 , x = -4
8.
Which of the following is equal to 5x² + 3x + 3x² + x?
a)
12x
b)
12x²
c)
11x² + x
d)
8x² + 4x
9.
A right-angled triangle has a perimeter of 40 cm and a hypotenuse of 17 cm. Based on the following information , form a quadratic equation and write it in general form.
a)
(x - 8)(x - 15)
b)
x² - 23x + 120 
c)
x² - 23x + 120 = 0
d)
x² - 23x - 120 = 0
10.

Was this quiz beneficial to you as a form of learning.

a)

YES

b)

SOMEHOW

c)

DON'T KNOW

d)

NO