Free Printable Principal Assessment #2 Review

1.

What is the value of $\frac{5x^4}{10x^2}$

a)

$2x^2$

b)

$50x^4$

c)

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

d)

$5x^2$

2.

Solve $4x^{-3}\cdot\ 2x^2$

a)

$8x^5$

b)

$3x^{-4}$

c)

$8x$

d)

$8x^{-1}$

3.

Which expression is equivalent to $\left(4^2\right)^{-2}$

a)

$4$

b)

$\frac{1}{4^4}$

c)

$4^4$

d)

$\frac{1}{4}$

4.

Evaluate the exponential expression: $\left(\frac{1}{7}\right)^{-2}$

a)

$\frac{1}{49}$

b)

$\frac{1}{7}$

c)

$49$

d)

7

5.

Solve for x: $\frac{6^x}{6^3}=6$

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

6.

Solve for x: $\frac{2^4}{2^x}=\ 4$

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

7.

Solve for x: $\frac{5^x}{5^6}=\frac{1}{125}$

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

8.

Simplify the following expression: $\frac{10^6}{10^4}$

a)

$10^1$

b)

$10^2$

c)

$10^3$

d)

$10^4$

9.

Simplify the following expression: $b^{-4}\div\ b^2$

a)

$b^2$

b)

$b^{-6}$

c)

$b^{-8}$

d)

$b^{-2}$

10.

Simplify the following expression: $w^{5\ }\cdot\ w^6$ (Use ^ to signify an exponent)

(a)

11.

Solve the proportion: $\frac{40}{x}=\frac{120}{90}$

a)

x = 10

b)

x = 20

c)

x = 30

d)

x = 40

12.

Solve the proportion: $\frac{x}{25}=\ \frac{9}{5}$

a)

x = 5

b)

x = 25

c)

x = 40

d)

x = 45

13.

Solve the proportion: $\frac{3}{9}=\frac{x}{36}$

a)

x = 27

b)

x = 18

c)

x = 12

d)

x = 9

14.

Does the following table represent a proportional relationship? (Hint: Create a two ratios and see if they are equal)

a)

Yes

b)

No

15.

Does the table represent a proportional relationship? Explain your reasoning.

4 lines

16.

Does the table represent a proportional relationship?

a)

Yes

b)

No

17.

There are 300 small fish out of 400 fish in a pond. A fisherman puts out his net and catches a total of 24 fish. How many of the fish were small fish? Create a proportion and solve.

a)

6

b)

12

c)

18

d)

24

18.

There are 8 big fish for every 10 small fish. There are 4 big fish for every (a) small fish.

19.

A recipe calls for 8 cups of flour to bake one cake. How many cups of flour are required to bake 4 cakes?

a)

16

b)

24

c)

32

d)

48

20.

A model train is 7 inches tall. If it was built with a scale of 1 inch : 2 feet, then how tall is the real train. Create a proportion and solve.

a)

10 inches

b)

14 inches

c)

21 inches

d)

28 inches

Principal Assessment #2 Review

Total questions: 20

Worksheet time: 24mins

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