Quiz about Exponents And Radicals

Question 1

Rewrite the expression in the form of $$4^{n}$$ in $$\frac{4^{11}}{4^{-8}}$$

Accepted Answer

Covalent bond

Answer

$$4^{19}$$

Answer

$$4^{18}$$

Answer

$$4^{20}$$

Answer

$$4^{21}$$

Question 2

The amount of energy, $$Q$$, in joules, needed to raise the temperature of $$m$$ grams of a substance is given by the formula $$Q={mC}(T_f-T_i)$$, where $$C$$ is the specific heat capacity of the substance. If its initial temperature is $$T_i$$, find an equation to find its final temperature, $$T_f$$.

Accepted Answer

Covalent bond

Answer

$$T_f=T_i+\frac{Q}{mC}$$

Answer

$$T_f=T_i-\frac{Q}{mC}$$

Answer

$$T_f=\frac{T_i+{Q}}{{mC}}$$

Answer

$$T_f=\frac{Q-mC}{T_i}$$

Question 3

Which expression is equivalent to $$(x+4)^{2}(x+4)^{3}$$ ?

Accepted Answer

Covalent bond

Answer

$$(x+4)^{5}$$

Answer

$$(x^{2}+16)^{6}$$

Answer

$$(x+4)^{6}$$

Answer

$$(x^{2}+16)^{5}$$

Question 4

Students were asked to write $$2 x^{3}+3 x+4 x^{2}+1$$ in standard form. Four student responses are shown below.

Alexa: $$4 x^{2}+3 x+2 x^{3}+1$$

Carol: $$2 x^{3}+3 x+4 x^{2}+1$$

Ryan: $$2 x^{3}+4 x^{2}+3 x+1$$

Eric: $$1+2 x^{3}+3 x+4 x^{2}$$

Which student's response is correct?

Accepted Answer

Covalent bond

Answer

Ryan

Answer

Alexa

Answer

Carol

Answer

Eric

Question 5

Which expression is equivalent to $$(x^9 y z^4)^5$$ ?

Accepted Answer

Covalent bond

Answer

J $$x^{45} y^5 z^{20}$$

Answer

F $$x^{14} y^6 z^9$$

Answer

G $$x^{14} y^5 z^9$$

Answer

H $$x^{45} y z^{20}$$

Exponents And Radicals Algebra 1 Maths Problems and Solutions

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