Forms of Quadratics Quiz 1

Question 1

Which of the following is the standard form of the quadratic equation given by $$3x+\dfrac{2x}{3{{x}^{2}}}=5$$?

Accepted Answer

$$2+9{{x}^{2}}-15x=0$$

Answer

$$(9{{x}^{2}}+6)(x-2)=0$$

Answer

$$(3x-5)(3x+1)=0$$

Answer

$$9{{x}^{2}}+15x-2=0$$

Question 2

Convert the equation $$3{{x}^{2}}+9x-84=0$$ into factored form.

Accepted Answer

$$3(x-4)(x+7)=0$$

Answer

$$(3x-18)(x+7)=0$$

Answer

$$(3x+4)(x-7)=0$$

Answer

$$3(x+4)(x-7)=0$$

Question 3

Which of the following is the appropriate vertex form of the quadratic equation $$2{{x}^{2}}-24x+105=0$$?

Accepted Answer

$$2{{(x-6)}^{2}}+33=0$$

Answer

$$3{{(x+6)}^{2}}-33=0$$

Answer

$$4{{(x-4)}^{2}}+34=0$$

Answer

$$3{{(x-6)}^{2}}+44=0$$

Question 4

Kiran’s husband is 7 years older than her. The product of their ages after 4 years will be 744. Represent the given situation in the factored form of quadratic equation to find out the present age of Kiran.

Accepted Answer

$$(x+35)(x-20)=0$$

Answer

$$(x+40)(x-25)=0$$

Answer

$$(x-10)(x+25)=0$$

Answer

$$(x-20)(x-30)=0$$

Question 5

Roy and Tina together have 26 chocolates. Tina ate her 6 chocolates and Roy bought 5 more chocolates. Now, Roy has more chocolates than Tina and the product of the number of chocolates they have is 150. Represent the given situation mathematically in a standard form of quadratic equation to find out how many chocolates are left with Tina.

Accepted Answer

$${{x}^{2}}-37x+336=0$$

Answer

$${{x}^{2}}+35x-250=0$$

Answer

$${{x}^{2}}-40x+200=0$$

Answer

$${{x}^{2}}-45x+350=0$$