Distance between 2 points
Squared and Cubed
Rational/Irrational
100

Find the distance between the two points rounding to the nearest tenth (if necessary).

(−2,0) and (1,7)

What is 7.6?

100

Solve for a. Express your answer as an integer or integers or in simplest radical form.

1 - 3a= -191

What is 4?

100

Determine if 0.4 is rational or irrational and give a reason for your answer.

What is it is rational because it terminates and can be written as 4/10?

200

Find the distance between the two points rounding to the nearest tenth (if necessary).

(5,−5) and (2,−9)

What is 5?

200

Solve for y. Express your answer as an integer or integers or in simplest radical form.

9 = -y3 + 1

What is -2?

200

Determine if 0.1111111111111111...is rational or irrational and give a reason for your answer.

What is it is rational because it repeats and can be written as 1/9?

300

Find the distance between the two points rounding to the nearest tenth (if necessary).

(5,−3) and (0,2)

What is 7.1?

300

Solve for c. Express your answer as an integer or integers or in simplest radical form.

5 - 8c2 = -75

What is 3.2?

300

Determine if the square root of 49 is rational or irrational and give a reason for your answer.

What is it is rational because it is the square root of a perfect square and can be written as 7/1

400

Find the distance between the two points rounding to the nearest tenth (if necessary).

(0,1) and (6,−7)

What is 10?

400

Solve for y. Express your answer as an integer or integers or in simplest radical form.

2 - y2 = -14

What is 4?

400

Determine if the square root of 33 is rational or irrational and give a reason for your answer.


What is irrational because it is the square root of a non perfect square. 

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