Free Printable Alg Practice Test EMC 6

1.

$6^32^{-5}x$

a)

$\frac{2\cdot2\cdot2\cdot2\cdot2}{6\cdot6\cdot6\cdot x}$

b)

$\frac{x}{18\cdot18}$

c)

$\frac{6\cdot6\cdot6\cdot x}{2\cdot2\cdot2\cdot2\cdot2}$

d)

$6\cdot6\cdot6\cdot2\cdot2\cdot2\cdot2\cdot2\cdot x$

2.

$\frac{x^{-5}y^6z}{x^3y^{-3}}$

Use positive exponents only to simplify

a)

$x^8y^9z$

b)

$\frac{z}{x^8y^9}$

c)

$\frac{x^8z}{y^9}$

d)

$\frac{y^9z}{x^8}$

3.

Mark buys a used car for $13,000. The value of the car depreciates 20% per year from the time he bought the car. The value of Mark's car, V(t) can be represented by which of the following functions?

a)

$V(t)=-0.80t+13000$

b)

$V(t)=-0.20t+13000$

c)

$V(t)=13000\left(0.20\right)^t$

d)

$V(t)=13000\left(0.80\right)^t$

4.

A scientist is studying bacteria and records the number of bacteria over time. The scientist determines that the function N(t) = 400(1.20)^tmodels the number of bacteria, N, after t hours. Which statement correctly interprets this model?

a)

The number of bacteria is originally 400 and increases by 20% every hour.

b)

The number of bacteria is originally 40 and increases by 200% every hour.

c)

The number of bacteria is originally 400 and increases by 20 every hour.

d)

The number of bacteria is originally 20 and increases by 400 every hour.

5.

$\sqrt{49x^{36}}$

a)

$7x^{18}$

b)

$7x^6$

c)

$25x^{18}$

d)

$25x^6$

6.

$2\left(3x^{-2}y^4\right)^{-3}$

Simplify

a)

$\frac{6x^2}{y^{12}}$

b)

$\frac{2x^6}{27y^{12}}$

c)

$\frac{18y^{12}}{x^2}$

d)

$\frac{27y^{12}}{2x^6}$

7.

$2x^{-11}$

a)

$\frac{2}{x^{11}}$

b)

$\frac{2}{x^{-11}}$

c)

$-11$

d)

$-\frac{22}{x}$

Alg Practice Test EMC 6

Total questions: 7

Worksheet time: 21mins

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