Rational or irrational?
Is the square root of 16 rational or irrational? Justify your answer.
rational because it can be written as a fraction
a2 +b2=c2
Pythagorean Theorem
Is the equation y-x=3 linear or nonlinear?
Linear because it can be written as y=mx+b.
Is the square root of 10 times the square root of 10 rational or irrational?
Rational because the product 10 can be written as a fraction
When one leg=3 and the other leg=5 then the hypotenuse=? Simplify if you can.
What is the square root of 34
A = s2
Area of a square
Is 3/x =y linear or nonlinear?
Nonlinear. X cannot be in the denominator,
Is pi rational or irrational?
Pi is irrational. It cannot be written as a fraction
When one leg=6 and the other leg=7 then the hypotenuse=? Round your answer to the nearest tenths place.
9.2 units
bh/2 = A
Area of a triangle
5
Is 13 times the square root of 5 rational or irrational?
irrational because it cannot be written as a fraction
When one leg=8 and the other leg=4 then the hypotenuse=? Simplify if you can.
4 times square root of 5
Add all sides
perimeter
A student is trying to calculate the distance from home to school. The student lives 8 blocks north and 6 blocks east of the school. Draw a picture and find the shortest distance from the student's school to home.
10 feet
Is the square root of 8 plus the square root of 7 rational or irrational? Explain.
Irrational because the sum cannot be written as a fraction
When one leg=21 and the hypotenuse=35 then the other leg=?
What is 28?
When one leg=40 and the other leg=9 then the hypotenuse=?
What is 41?
y=mx+b
Linear Function
Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?
20 feet