Unit 8 Review

Simplifying Square Roots and Squared #'s

100

√9 =

3

200

7^{2 =}

49

300

√36=

6

400

9² =

81

500

√144=

12

Approximating Square Roots

100

Estimate √10 to the nearest whole number

3

200

Estimate √34 to the nearest whole number

DOUBLE POINTS

6

300

√5 is between what two numbers? 

2 and 3 

400

√45 is between what two numbers?

6 and 7 

500

√134 is between what two numbers?

11 and 12

Rational/Irrational Numbers

100

Do irrational numbers terminate?

No

200

Is 31.4564778.... rational?

No

300

Is -365 rational or irrational? Why?

Rational because it is an integer (whole number that's negative)

400

Is 11% rational or irrational? why?

Rational because it is a whole number and can be written as a fraction.

500

ONE example of a rational number and ONE example of an irrational number: 

Rational: whole numbers, fractions, integers, repeating decimals, perfect squares

Irrational: decimals that do not terminate, 

Pythagorean Theorem

100

What is the formula for the Pythagorean Theorem? 

a^{2 +} b² = c²

200

When one leg=3 and the other leg=4 then the hypotenuse=?

2 minutes

5

300

When one leg=5 and the other leg=6 then the hypotenuse=? (Round answer to the nearest WHOLE number) 

DOUBLE POINTS 2 minutes 

8

400

Find the distance between the points. Round your answer to the nearest tenth. 

(1,3), (4,1) 

3 minutes 

3.6

500

Find the distance between the points. Round your answer to the nearest tenth. 

(-3,1), (4,-3)

3 minutes

8.1

Vocabulary

100

What is the longest side of a right triangle called? AND what letter is used to represent it?

DOUBLE POINTS

Hypotenuse (c)

200

Letters "a" and "b" are used to represent which part of a right triangle?

a=altitude

b=base 

(legs)

300

What do we call multiplying a number by itself?

Number (x) squared

400

The only type of triangle you can use the Pythagorean Theorem on.

Right triangle (90 degree angle)

500

How do you use the Pythagorean Theorem? Describe the steps

Identify the values of a,b,c

Plug the values of a,b,c into the Formula 

Square root the #'s 

Add numbers 

Find missing side