Pythagorean Theorem, Square Roots, Rational and Irrational Numbers

L2: I can use the Pythagorean Theorem to find the missing side length of a right triangle. 
Solve for the missing side length.

• 24 cm

• 25 cm

• 26 cm

• 27 cm

I can recognize when the Pythagorean Theorem should be used in real world problems and use it to correctly solve the problem. 
Solve: The legs of a right triangle are 28 meters and 21 meters. The length of the hypotenuse is 5x. What is the value of x?

• 5

• 6

• 7

• 8

I can use the Pythagorean Theorem to find the distance between two points in a coordinate system. 
Find the distance between the two points.
(4,-5) & (-1,7)

• 12

• 13

• 14

• 15

I can determine if the three given sides of a triangle form a right triangle using the Pythagorean Theorem.
Do these three sides of a triangle create a right triangle?
1.4 m, 4.8 m, & 5m

• yes

• no

L2: I can define rational and irrational numbers. 
Classify the real number.
2.45

• Rational

• Irrational

L2: I can define rational and irrational numbers. 
Classify the real number.
2.343637...

• Rational 

• Irrational

I can plot an irrational number on a number line without the use of a calculator.
Which two whole numbers does the square root of 56 fall between?

• 6 & 7

• 7 & 8

• 8 & 9

• 9 & 10

L2: I can evaluate the square root of a perfect square.
Which of these is not a perfect square?

• 4

• 16

• 49

• 82

L3: I can evaluate small perfect square roots and cube roots to find solutions to equations in the form y=x²
Solve for x: 64 = x²

• x = 9

• x = 8

• x = -8

• x = 8 & -8

Solve for the value of y

• 13

• 5

• 23

• 10