Understanding Slope and Angles

This video tutorial covers key eighth-grade math topics, including rational and irrational numbers, solving equations, linear relationships, transformations, similar and congruent figures, and angle relationships. It provides methods for estimating irrational square roots, solving multi-step and fraction equations, understanding slope and linear equations, and exploring transformations like rotations and reflections. The video also discusses similar and congruent figures, angle relationships, and the Pythagorean theorem.

Which of the following is an example of an irrational number?

• √2

• 3.14

• 1/2

• 4

What is a characteristic of rational numbers?

• They can be expressed as a fraction

• They are always whole numbers

• They have no repeating pattern

• They are always positive

How can you estimate the square root of 34?

• Between 4 and 5

• Between 3 and 4

• Between 6 and 7

• Between 5 and 6

What is the first step in solving multi-step equations?

• Subtract constants

• Multiply by the LCD

• Distribute and combine like terms

• Add variables

How do you clear fractions in an equation?

• Add the fractions

• Multiply by the LCD

• Divide by the smallest fraction

• Subtract the fractions

What happens when an equation has no solution?

• The sides are not equal

• The equation is always true

• The equation has infinite solutions

• The variables cancel out

What is another term for slope?

• Rate of change

• Y-intercept

• X-intercept

• Gradient

What does a zero slope indicate?

• Positive slope

• Negative slope

• Horizontal line

• Vertical line

How do you find the slope from two points?

• Use the Pythagorean theorem

• Use the distance formula

• Use the midpoint formula

• Use the slope formula

What is the y-intercept in the equation y = 3x - 3?

• 1

• 3

• -3

• 0