Simplifying expressions Quiz 1

Question 1

Simplify the following expression: $$3{{x}^{2}}+5xy-4{{y}^{2}}+{{x}^{2}}-8xy-5{{y}^{2}}$$.

Accepted Answer

$$4{{x}^{2}}-9{{y}^{2}}-3xy$$

Answer

$$5{{x}^{2}}-9{{y}^{2}}-3xy$$

Answer

$$2{{x}^{2}}+10{{y}^{2}}-13xy$$

Answer

$$4{{x}^{2}}+10{{y}^{2}}-3xy$$

Question 2

Simplify: $$\left( 5+\sqrt{7} \right)\left( 2+\sqrt{5} \right)$$.

Accepted Answer

$$10+5\sqrt{5}+2\sqrt{7}+\sqrt{35}$$

Answer

$$10\sqrt{5}+\sqrt{5}+2\sqrt{7}+\sqrt{35}$$

Answer

$$10+5\sqrt{5}+7\sqrt{7}+\sqrt{35}$$

Answer

$$10+\sqrt{7}+2\sqrt{7}+\sqrt{3}$$

Question 3

How will you simplify the expression: $$36-\left[ 18-\left\{ 14-\left( 15-4\div 2	imes 2 ight) ight\} ight]$$.

Accepted Answer

$$21$$

Answer

$$22$$

Answer

$$15$$

Answer

$$18$$

Question 4

Simplify the following expression: $$4\dfrac{4}{5}\div \dfrac{3}{5}	ext{ of }5+\dfrac{4}{5}	imes \dfrac{3}{10}-\dfrac{1}{5}$$.

Accepted Answer

$$\dfrac{41}{25}$$

Answer

$$\dfrac{47}{29}$$

Answer

$$\dfrac{67}{89}$$

Answer

$$\dfrac{28}{13}$$

Question 5

Simplify $$\dfrac{14xy\left( 81{{x}^{2}}-121{{y}^{2}} \right)}{7xy\left( 9x+11y \right)}$$

Accepted Answer

$$2\left( 9x-11y \right)$$

Answer

$$2\left( 13x-11y \right)$$

Answer

$$	ext{8}\left( 9x-11y ight)$$

Answer

$$	ext{9}\left( 11x-3y ight)$$