Unit 2 Review

Rational or Irrational

100

0.75, rational or irrational?

Rational

200

square root of 49, rational or irrational?

Rational

300

square root of 11, rational or irrational?

irrational

400

Which number is irrational?

0.5

square root of 25

square root of 13

3.75

square root of 13

500

Classify each as R, rational, or I, irrational:

pi

2.125

square root of 15

Irrational

Rational

Irrational

Roots and Perfect Powers

100

Solve for the square root of 81

9

200

A square has an area of 169 meters, what is the length of one side?

13 meters

300

Solve for x

x^2 = 144

x = +12

x= -12

400

A cube had a volume of 216 cubic inches, how long is each edge?

6 inches

500

Is 64 a perfect square, perfect cube, both, or neither?

Both

Exponent Rules

100

Simplify:

x³ * x²

x⁵

200

Simplify:

x⁷ / x³

x⁴

300

Rewrite using positive exponents:

5^-3

1/5³

400

Simplify:

(x²)⁴

x⁸

500

Simplify:

(x⁶ * x³) / x⁴

x⁵

Evaluate the Expression

100

When x = 3, what is x² ?

9

200

5⁰

1

300

When x = 2, what is 3x² + 4?

16

400

When x = 2 and y = 4, what is

8x⁰ + x²y^-1

8.5

500

when x = 3 and y = 2 what is

4x²y^-1 + 2x⁰

20

Scientific Notation

100

Write 0.00045 in scientific notation

4.5 x 10^-4

200

Simplify (write your answer in scientific notation):

(3 x 10⁴) + (5 x 10⁴)

8 x 10⁴

300

Simplify (write your answer in scientific notation):

(7 x 10⁵) - (2 x 10⁵)

5 x 10⁵

400

Simplify (write your answer in scientific notation):

(4 x 10³)(2 x 10⁴)

8 x 10⁷

500

A factory produces 3 x 10⁵ parts each year.  It operates for 4 x 10² years.  How many parts will it produce?

1.2 x 10⁸ parts