Review

Pythagorean Theorem

100

What is the Pythagorean theorem formula?

a²+b²=c²

200

If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?

5

300

A right triangle has a hypotenuse of 10 and one leg measuring 6. What is the length of the other leg?

8

400

Explain how you would use the Pythagorean theorem to determine if a triangle with sides 5, 12, and 13 is a right triangle.

Plug the lengths into the Pythagorean theorem and see if it is true.

500

A ladder is placed against a wall. The foot of the ladder is 6 feet from the wall, and the ladder reaches 10 feet up the wall. What is the length of the ladder?

11.66

Multi-Step Equations

100

Solve for x: (2x + 3 = 11)

4

200

Solve for x: (3(x - 4) = 5x + 2)

-7

300

Solve for x: (4(x + 3) - 2 = 10)

0

400

If (2(x + 5) - 3(x - 2) = 4), what is the value of x?

12

500

Solve the equation (5(x - 1) + 3(2x + 4) = 9).

-2/11

Exponent Rules

100

Simplify: (2³*2²)

2⁵=32

200

What is the value of (x⁰) for any non-zero number (x)?

1

300

Simplify: ((3²)³)

3⁶=729

400

If (a = 2) and (b = 3), evaluate (ab)².

36

500

Simplify: ({4³}/{4²})

4

Geometric Transformations

100

What is a translation in geometry?

Moving a shape around on a coordinate plane

200

If a shape is reflected over the y-axis, what happens to its coordinates?

The x-values change.

300

Describe what happens to a shape when it is rotated 90 degrees clockwise around the origin.

It gets tilted on its side.

400

If you dilate a triangle by a scale factor of 2, how does the area of the triangle change?

It doubles

500

A triangle has vertices at (1, 2), (3, 4), and (5, 2). What are the new coordinates after a reflection over the x-axis?

(1, -2), (3, -4), and (5, -2)