Math Review

Pythagorean Theorem

100

What is the formula for the Pythagorean Theorem?

a²+b²=c²

200

Find the length of the hypotenuse of a right triangle with legs 3 and 4.

c=5

300

Legs: 5 cm and 12 cm 

Find the Hypotenuse

c = 13cm

400

Legs: 9 in and 12 in

Find the Hypotenuse

c = 15in

500

A right triangle has one leg that measures 9 and a hypotenuse that measures 15. What is the length of the missing leg?

12

Scientific Notation

100

Write 5,000 in scientific notation.

5 x 10³

200

Write 0.006 in scientific notation.

6 x 10^-3

300

Which number is written correctly in scientific notation?
A. 0.45×10⁵
B. 4.5×10⁵
C. 45×10⁴

B. 4.5×10⁵ the first number must be between 1 and 10. 

400

Convert 3.6×10^-2 to standard form.

0.036

500

Simplify and write your answer in scientific notation: 

(6×10⁴)×(3×10⁷)

1.8×10¹²

(6×3)×10⁴⁺⁷= 18×10¹¹=1.8×10¹²

Irrational vs. Rational

100

Is 0.75 a rational or irrational number?

Rational — it can be written as a fraction.

200

True or False:
All square roots are irrational.

False — only non-perfect square roots are irrational.

300

Is √36 rational or irrational?

Rational — it equals 6, a whole number.

400

Is 0.272727... rational or irrational?

Rational — the decimal repeats, so it can be written as a fraction.

500

True or False: Pi is a rational because it can be written as a fraction.

Pi is IRRATIONAL

Exponent Rules

100

7²

49

200

2³ x 2⁸

2¹⁰

300

Simplify 5⁷ ÷ 5³

5⁴

400

Simplify (2³)⁴

2¹²

500

Simplify (x³y²)⁴ ÷ x⁵y

x⁷y⁷