Free Printable Algebraic identities

Free Printable Worksheets

Worksheets

Algebraic identities

Total questions: 25

Worksheet time: 14mins

Name

Class

Date

1.

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

a)

x^2+x(a+b)+ab

b)

x^2+a^2+b^2

c)

x^2+ab^2-2(xab)

2.

$\left(16-12\right)^2$

a)

16

b)

12

c)

100

3.

$\left(5^{ }+15\right)^2$

a)

400

b)

200

c)

4000

4.

$13^2-7^2$

a)

120

b)

220

c)

20

d)

-120

5.

$a^2-b^2$

a)

(a + b)(a - b)

b)

(a-b)(a-b)

c)

(a+b)(a+b)

6.

$a^2-b^2=$

a)

a^2-2ab-b^2

b)

a^2-2ab+b^2

7.

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

a)

a^2+2ab+b^2

b)

a^2-2ab+b^2

8.

(51)² - (49)² is

a)

200

b)

150

c)

276

d)

189

9.

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

a)

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

b)

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

c)

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

d)

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

10.

Expand (x−4)².

a)

x² −8x+16

b)

x² −8x−16

c)

x² +8x+16

d)

x² −16

11.

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

a)

x² - 64

b)

x² + 64

c)

x²- 16x + 64

d)

x² + 16x + 64

12.

Expand (x−4)².

a)

x² −8x+16

b)

x² −8x−16

c)

x² +8x+16

d)

x² −16

13.

Expand (x−4)².

a)

x² −8x+16

b)

x² −8x−16

c)

x² +8x+16

d)

x² −16

14.

Find 96 X 104, using identity

a)

9984

b)

9974

c)

9964

d)

9954

15.

The product of 93x99 is

a)

9207

b)

9000

c)

8250

d)

8976

16.

(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

17.

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

18.

Find 87² - 13²

a)

7200

b)

7300

c)

7400

d)

7500

19.

Using identity find 201 x 199

a)

3000

b)

3999

c)

39999

d)

31111

20.

Expand (x−4)².

a)

x² −8x+16

b)

x² −8x−16

c)

x² +8x+16

d)

x² −16

21.

Expand (4x − 5)(4x + 5).

a)

4x² − 25

b)

4x² + 25

c)

16x² + 25

d)

16x² − 25

22.

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

a)

x² - 64

b)

x² + 64

c)

x²- 16x + 64

d)

x² + 16x + 64

23.

(x² - y²) × (x² + y²) = ______

a)

2x² + 2y²

b)

x⁴ - y⁴

c)

x⁴ + y⁴

d)

2x⁴

24.

Which of the following is an expression?

a)

\frac{1}{2}

b)

3

c)

3 x- 2

d)

2

25.

Expressions consists of ___________ and _________

a)

Variables , constants

b)

identities

c)

expressions

d)

none of these

100 %

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