Free Printable Unit 4 Algebra Review

1.

Which best defines 4^2/3?

a)

square root of 16

b)

cube root of 4

c)

square root of 4

d)

cube root of 16

2.

Simplify

\left(\sqrt{2}\right)\left(2^{\frac{1}{3}}\right)

a)

$2^{\frac{1}{6}}$

b)

$2^{\frac{2}{3}}$

c)

$2^{\frac{5}{6}}$

d)

$2^{\frac{7}{6}}$

3.

Which statement is true about the expression?

\sqrt{50}+\sqrt{2}

a)

It is irrational and equal to $2\sqrt{13}$

b)

It is irrational and equal to $6\sqrt{2}$

c)

It is rational and equal to 2

d)

It is rational and equal to 6

4.

Which of the following is an equivalent function to the function below, check all that apply.

f\left(x\right)=30\left(1.03\right)^{3x}

a)

$f\left(x\right)=30\left(3.0900\right)^x$

b)

$f\left(x\right)=30\left(1.0927\right)^x$

c)

$f\left(x\right)=10\left(1.0927\right)^x$

d)

$f\left(x\right)=10\left(3.0900\right)^x$

5.

Victor is enlarging a poster for a school baseball match. The graph below shows the size y of the poster after x enlargements. What does the y-intercept of the graph represent?

a)

final size of the picture

b)

number of enlargements

c)

original size of the picture

d)

rate at which the size of the picture increases

6.

In the month of October, the population of a species of fish in a river increased by a factor of 1.05 every day. The function below shows the number of fish in the river f(x) after x days:

f(x) = 100(1.05)^x

Which of the following is a reasonable domain for the function?

a)

$0\le x\le100$

b)

$0\le x\le31$

c)

All positive integers greater than 100

d)

All positive integers less than 100

7.

Which function has all real numbers as its domain?

a)

Only f(x) the red graph

b)

Both g(x) and p(x) the blue and green graphs

c)

Both f(x) and g(x) the red and green graphs

d)

Only p(x) the green graph

8.

What is the product of

\left(7\sqrt{8}\right)\left(4\sqrt{5}\right)

a)

$28\sqrt{10}$

b)

$56\sqrt{2}$

c)

$56\sqrt{10}$

d)

$280\sqrt{4}$

9.

Find the average rate of change from x = 10 to x = 17 for the function f(x) = 0.01(2)^x

a)

10.24

b)

185.75

c)

1300.48

d)

1310.72

10.

Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months?

a)

f(x) = 2(0.05)^x+ 3

b)

f(x) = 3(0.05)^x + 2

c)

f(x) = 2(1.05)^x + 3

d)

f(x) = 3(1.05)^x + 2

Unit 4 Algebra Review

Total questions: 10

Worksheet time: 41mins

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