Chapter 7 Review

Basic Roots

100

Simplify: Square root of 49

What is 7?

200

Simplify: Square root of 121

What is 11?

300

Simplify: Cube root of 125

What is 5?

400

Simplify: Square root of 200

What is 10 times square root of 2?

500

Simplify: Cube root of -64/27

What is -4/3?

Applying Roots

100

Estimate to the nearest whole number: Square root of 97

What is 10?

200

The area of a square is 81 inches². Give me the length of 1 side.

What is 9 inches?

300

Solve: (Square root of 16)² - 2 times square root of 25 + 6

What is 0?

400

Tell which is bigger: Square root of 90/9 or 2

What is square root of 90/9?

500

The volume of a cube is 64 inches cubed. Give the length of 1 edge.

What is 4 inches?

Pythagorean Theorem

100

​​​​Write down the Pythagorean Theorem formula.

What is a²+b²=c²?

200

The length of the longest side of a right triangle

What is the hypotenuse?

300

The length of the two legs of the triangle is 9 and 12. Find the length of the hypotenuse.

What is 15?

400

Is it a right triangle: 11, 9, and 6

What is "no"?

500

The length of the hypotenuse is 16, and the length of one of the legs is 9. Find the length of the third side.

What is square root of 175 (simplified to 5 times square root of 7)?

Classifying Numbers

100

Categorize: -15

What is rational and integer?

200

Categorize: 2/3

What is rational?

300

Categorize: 2.573642891...

What is irrational?

400

True or false: All perfect squares and perfect cubes are irrational.

What is false?

500

Another name for natural numbers

What are counting numbers?

Distance Formula

100

Write down the distance formula.

What is square root of [(y₂-y₁)²+(x₂-x₁)²]?

200

Calculate the distance between (3,2) and (8,2)

What is 5?

300

Calculate the distance between (1,3) and (5,7)

What is square root of 32 (simplified to 4 times square root of 2)?

400

Calculate the distance between (-3,2) and (5,-1)

What is square root of 73?

500

Calculate the distance between (-4,-3) and (8,-8)

What is 13?