GENERATING EQUIVALENT EXPRESSIONS WORKSHEET

Write the equivalent expressions for the following :

Question 1 :

6x² - 4x²

Question 2 :

-3(5 - 6x)

Question 3 :

3a + 2(b + 5a)

Question 4 :

 y + 11x + 7y - 7x

Question 5 :

8m + 14 - 12 + 4n

Question 6 :

7(x - 3) + 2(2x - 5) - 3(x - 5)

Question 7 :

4x - (2 + 4x) - 2(x - 1) - 8(x -3)

Question 8 :

(x + 3)² - (x - 3)²

Question 9 :

x² + 5x - (x + 3)(x - 3)

Question 10 :

25(x + 5) - 5(x + 5)²

1. Answer :

= 6x² - 4x²

= 2x²

2. Answer :

= -3(5 - 6x)

Use Distributive Property. 

= -3(5) - 3(-6x)

= -15 + 18x

= 18x - 15

3. Answer :

= 3a + 2(b + 5a)

Use Distributive Property. 

= 3a + 2b + 2(5a)

= 3a + 2b + 10a

= 13a + 2b

4. Answer :

= y + 11x + 7y - 7x

= 4x + 8y

5. Answer :

= 8m + 14 - 12 + 4n

= 8m + 4n + 2

6. Answer :

= 7(x - 3) + 2(2x - 5) - 3(x - 5)

Use Distributive Property.

= 7(x) + 7(-3) + 2(2x) + 2(-5) - 3(x) - 3(-5)

= 7x - 21 + 4x - 10 - 3x + 15

= 8x - 16

7. Answer :

= 4x - (2 + 4x) - 2(x - 1) - 8(x -3)

Use Distributive Property.

= 4x - 2 - 4x - 2(x) - 2(-1) - 8(x) - 8(-3)

= 4x - 2 - 4x - 2x + 2 - 8x + 24

= -10x + 24

8. Answer :

= (x + 3)² - (x - 3)²

= (x + 3)(x + 3) - (x - 3)(x - 3)

= (x² + 3x + 3x + 9) - (x² - 3x - 3x + 9)

= (x² + 6x + 9) - (x² - 6x + 9)

= x² + 6x + 9 - x² + 6x - 9

= 12x

9. Answer :

= x² + 5x - (x + 3)(x - 3)

= x² + 5x - (x² - 3x + 3x - 9)

= x² + 5x - (x² - 9)

= x² + 5x - x² + 9

= 5x + 9

10. Answer :

= 25(x + 5) - 5(x + 5)²

Factor (x + 5).

= (x + 5)[25 - 5(x + 5)]

= (x + 5)(25 - 5x + 25)

= (x + 5)(-5x)

= x(-5x) + 5(-5x)

= -5x² - 25x

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.