Pre-Algebra Topic 1 Review

Types of Numbers

100

What is an irrational number?

A decimal that does not repeat or end. Cannot be written as a fraction.

200

These numbers are ___________

pi, 2.3124..., sqrt23

Irrational

300

What type of number is 

root(3)1331

Rational

400

Four out of nine dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing under 20 pounds?

0.bar4

500

The expression

4*sqrt81

 gives the perimeter of a square. What is the perimeter, in meters, of the square?

36 meters

Compare

100

Which is greater 

2 1/4 or 2 1/8

2 1/4

200

sqrt72

is closest to which whole number?

8

300

True or False

pi>sqrt16

False

3.14 is less than 4

400

Between which two whole numbers does the

sqrt39

 lie between

6 and 7

500

Order these from greatest to least.

sqrt30, 4.bar1, pi, sqrt15, 4.85

sqrt30, 4.85, 4.bar1, pi, sqrt15

Vocabulary

100

A number that is the square of an integer. 

a. cube root

b. square root

c. perfect square

d. perfect cube

C. Perfect Square

200

The number 44 is not a __________ because no integer multiplied by itself equals 44.

Perfect Square

300

64 is a _________

a. Perfect Square

b. Perfect Cube

c. Both

d. Neither

Both a perfect cube and perfect square

400

2.2323323332.... is a(n) ________. Explain

Irrational Number, pattern but not repeating. 

500

A number that is either rational or irrational is called a ___________.

Real Number

Cubes

100

2³

8

200

root(3)216

6

300

x³=125 

What is x?

x=5

400

What is 

2 * root(3)(-64)

-8

500

What is 

root(3)729 div root(3)27

3

Squares

100

Which is larger?

a. root(3)64

 

b. sqrt25

sqrt25

200

What is 16²

256

300

How many solutions does this equation have?

x²=64

2 solutions

x=8 and x=-8

400

What is 

4*sqrt225

60

500

Solve x²=26

x= pmsqrt26