Free Printable Algebraic Identities

1.

$Expansion\ of\ \left(x\ +4\right)^2\ is\$

a)

$x^2+8x+16$

b)

x $x^2+8x+4$

c)

$x^2-8x+16$

d)

$x^2+8x-16$

2.

(x - 8) ( x - 8) = ______

a)

x² - 64

b)

x² + 64

c)

x²- 16x + 64

d)

x² + 16x + 64

3.

Expand (4x − 5)(4x + 5).

a)

4x² − 25

b)

4x² + 25

c)

16x² + 25

d)

16x² − 25

4.

$\left(4a+2b\right)^2=$

a)

$16a^2+8ab-4b^2$

b)

$16a^2-8ab-4b^2$

c)

$16a^2-8ab+4b^2$

d)

$16a^2+8ab+4b^2$

5.

Expand (4x − 5)(4x + 5).

a)

4x² − 25

b)

4x² + 25

c)

16x² + 25

d)

16x² − 25

6.

The identity (y + a) (y +b) is

a)

y² + ( a - b )y + ab

b)

y² - ( a + b )y + ab

c)

y² + ( a + b )y - ab

d)

y² + ( a + b )y + ab

7.

The product of (a+b) and (a-b) is

a)

a²+b²

b)

a²-b²

c)

ab+bc

d)

none of these

8.

(m+1)(m+3) is of the form

a)

$\left(a+b\right)^2$

b)

$\left(a-b\right)^2$

c)

$\left(x+a\right)\left(x+b\right)$

d)

none of these

9.

$25a^2-4b^2$ is of the form

a)

$a^2-b^2$

b)

$\left(a+b\right)^2$

c)

$\left(a-b\right)^2$

d)

none of these

10.

(5-p)(5-p) is of the form

a)

$\left(a-b\right)\left(a+b\right)$

b)

$\left(a-b\right)^2$

c)

$\left(a+b\right)^2$

d)

none of these

11.

$\left(3x+5y\right)\left(3x+5y\right)$ is of the form

a)

$3x^2-5y^2$

b)

$\left(3x-5y\right)^2$

c)

$\left(3x+5y\right)^2$

d)

none of these

12.

$\left(a-5\right)\left(2a-9\right)$ is of the form

a)

$\left(a+b\right)\left(a-b\right)$

b)

$\left(a+b\right)^2$

c)

$\left(x+a\right)\left(x+b\right)$

d)

none of these

13.

$\left(4-a\right)\left(4-b\ \right)$ is of the form

a)

$\left(x+a\right)\left(x+b\right)$

b)

$\left(a-b\right)^2$

c)

$\left(a+b\right)^2$

d)

none of these

14.

$\left(a^2+2ab\ +b^2\right)$ is the expansion of

a)

$\left(a+b\right)^2$

b)

$\left(a-b\right)^2$

c)

$\left(a+b\right)^3$

d)

none of these

15.

(p - q)²

a)

p² + 2pq + q²

b)

p² + 2pq - q²

c)

p² - 2pq - q²

d)

p² - 2pq + q²

16.

(x + a)(x + b) =

a)

x² + abx + ab

b)

x² + ax - bx + ab

c)

2x + (a+b)x + ab

d)

x² + (a+b)x + ab

17.

Expand (x−4)².

a)

x² −8x+16

b)

x² −8x−16

c)

x² +8x+16

d)

x² −16

18.

$\left(4a+2b\right)^2=$

a)

$16a^2+8ab-4b^2$

b)

$16a^2-8ab-4b^2$

c)

$16a^2-8ab+4b^2$

d)

$16a^2+8ab+4b^2$

19.

Expand (2x + 1)².

a)

4x² +4x +1

b)

4x² +1

c)

4x² +2x +1

d)

4x² +4x +2

20.

Expand (3x − 2)².

a)

3x² − 12x − 4

b)

3x² − 12x + 4

c)

9x² − 12x + 4

d)

9x² − 12x − 4

Algebraic Identities

Total questions: 20

Worksheet time: 20mins

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