Rational/irrational
Number
Number
What is a rational number?
A number that can be written as a fraction.
What is the formula for the Pythagorean Theorem?
a² + b² = c²
Solve: 2x + 3 = 7
x = 2
What symbol means “greater than”?
>
Simplify: 2x + 3x
5x
Give an example of an irrational number.
π (pi) or √2
What does “c” represent in the formula?
The hypotenuse (the longest side of the right triangle).
Solve: 3x - 5 = 10
x = 5
What symbol means “less than or equal to”?
≤
Simplify: 4y + 6 + 2y
6y + 6
True or False: 0.25 is rational.
True, because it equals 1/4.
If a = 3 and b = 4, what is c?
5
Solve: 4x + 6 = 14
x = 2
Solve: 3x < 12
x < 4
Simplify: 5a + 3a - 2
8a - 2
Is √16 rational or irrational?
Rational, because it equals 4.
What type of triangle uses the Pythagorean Theorem?
Right triangle.
Solve: 5x - 8 = 12
x = 4
Solve: 2x + 5 ≥ 9
x ≥ 2
Simplify: 7b + 2 + 4b + 3
11b + 5
Explain why √50 is irrational.
It can’t be written as a fraction and doesn’t simplify to a whole number.
A triangle has sides 8 and 15. Find the hypotenuse.
c = 17
: Solve: 7x + 4 = 25
x = 3
If x ≤ 7, name one possible value of x.
Any number 7 or smaller.
6x + 2y + 3x + 5y
9x + 7y