Free Printable Algebra -simplification using identities- 1

1.

(x+1)(x+2) is equal to

a)

$2x+3$

b)

$x^2+2x+2$

c)

$x^2+3x+2$

d)

$x^2+2x+3$

2.

Subtract x² – 3y² + 7y – 8 from 9x² – xy + y² + 5x – 3y

a)

8x² – xy + 4y²+ 5x - 10y – 8

b)

10x² – xy - 2y²+ 5x + 4y + 8

c)

10x² – xy + 4y²+ 5x - 10y - 8

d)

8x² – xy + 4y²+ 5x - 10y + 8

3.

Factor: x² + 13x + 30

a)

(x + 3)(x + 10)

b)

(x + 5)(x + 6)

c)

(x + 2)(x + 15)

d)

(x + 1)(x + 30)

4.

Factor: x² - 2x - 24

a)

(x + 6)(x - 4)

b)

(x + 4)(x - 6)

c)

(x - 4)(x - 6))

d)

(x - 3)(x + 8)

5.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

6.

Factorise the following quadratic expression...

x² + 14x + 24

a)

(x + 12)(x + 2)

b)

(x + 8)(x + 3)

c)

(x + 4)(x + 6)

d)

(x + 24)(x + 1)

7.

Factorise:

x^2-8x-33

a)

$\left(x-3\right)\left(x+11\right)$

b)

$\left(x+33\right)\left(x-1\right)$

c)

$\left(x+3\right)\left(x-11\right)$

d)

$\left(x-33\right)\left(x+1\right)$

8.

Factorise:

x^2-9x-10

a)

$\left(x-9\right)\left(x+1\right)$

b)

$\left(x+1\right)\left(x-10\right)$

c)

$\left(x+9\right)\left(x-1\right)$

d)

$\left(x-10\right)\left(x-1\right)$

9.

Factorise 3x²+12x

a)

3x(x+4)

b)

3(x²+4)

10.

FACTORISE

m² + 3m + 2

a)

(m + 2)(m + 3)

b)

(m + 2)(m + 1)

c)

(m + 3)

d)

(m + 4)(m - 3)

Algebra -simplification using identities- 1

Total questions: 10

Worksheet time: 22mins

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