Linear Equations and Exponents

Mr. Bess guides students through a series of math problems, focusing on simplifying expressions, solving equations, and determining the equation of a line. The video covers equivalent expressions, handling negative and zero exponents, and solving linear equations. It also includes finding the slope and y-intercept to write the equation of a line.

Which of the following expressions is equivalent to 16x^8?

• 16x^4 raised to the second power

• 4x^4 times itself twice

• 8x^6 times 2x^2

• 2x^2 raised to the fourth power

What is the result of simplifying 4 to the negative 1?

• 4

• 1/4

• -4

• 0

How do you simplify 5 to the negative 2?

• 1/25

• 5

• 1/5^2

• 5^2

What is the solution to the equation 3x - 7 = 2?

• x = 1

• x = 3

• x = 5

• x = 7

In the equation 1 + 2x - x = x - 5 + x, what is the value of x?

• x = 6

• x = 2

• x = 4

• x = 0

What is the slope of a line if Delta Y is -2 and Delta X is 6?

• 2/3

• -1/3

• 1/3

• -2/3

What is the equation of a line with a slope of -1/3 and a y-intercept of -2?

• y = 1/3x - 2

• y = -1/3x - 2

• y = 1/3x + 2

• y = -1/3x + 2

If Samantha has $1500 and spends $35 per week, how many weeks until she has $915?

• 17 weeks

• 18 weeks

• 16 weeks

• 15 weeks

What is the slope of the line passing through the points (2, 5) and (3, 8)?

• 2

• 1

• 3

• 4

What is the y-intercept of the line with the equation y = 3x - 1?

• -3

• -1

• 0

• 1