Pythagorean Theorem and Transformations

The video tutorial covers a review packet for the Georgia Milestones, focusing on mathematical concepts such as exponents, powers, square roots, solving equations, coordinate geometry, and the Pythagorean theorem. It provides detailed explanations and examples to help students understand and apply these concepts effectively.

What is the opposite of 5 to the power of 3?

• -15

• 125

• 15

• -125

How do you handle a negative exponent when it's not in parentheses?

• Multiply the base by the negative sign

• Ignore the negative sign

• Apply the exponent to the negative sign

• Apply the exponent only to the base

What is the result of 4 to the power of 2 with a negative sign?

• -1/16

• 16

• 1/16

• -16

When combining like terms, what is the result of 4y + (-10y)?

• 14y

• 6y

• -14y

• -6y

What is the result of distributing -3 to 4H and -2P?

• -12H - 6P

• 12H + 6P

• -12H + 6P

• 12H - 6P

What is the approximate square root of 75?

• 8.5

• 8.7

• 8.6

• 8.4

How do you solve for m in the equation 8 = 7m + 29?

• m = 5

• m = -3

• m = -5

• m = 3

What happens to the coordinates when a point is reflected across the y-axis?

• X changes sign, Y stays the same

• X and Y both change signs

• Y changes sign, X stays the same

• Neither X nor Y change signs

What are the new coordinates of a point after a 90° clockwise rotation?

• Only change sign of X

• Only change sign of Y

• Flip X and Y, change sign of new Y

• Flip X and Y, change sign of new X

What is the result of rotating point A (-3, 5) by 180°?

• (-3, 5)

• (3, -5)

• (-3, -5)

• (3, 5)