Equations and Functions Assessment

The video tutorial covers various math problems, including negative exponents, scientific notation, graphing equations, systems of equations, savings models, function transformations, linear functions, cost equations, car value depreciation, polygon rotations, triangle transformations, volume calculations, scatter plot analysis, temperature and altitude data, sports participation data, and rainfall measurement. Each problem is explained step-by-step, demonstrating different mathematical concepts and techniques.

What is the result of multiplying 7 to the power of -8 by 7 to the power of -4?

• 1/7^12

• 7^4

• 7^12

• 1/7^4

How would you express a million times a million in scientific notation?

• 1 x 10^12

• 1 x 10^18

• 1 x 10^6

• 1 x 10^36

Which of the following equations represents the line with a slope of 2 and a y-intercept of -5?

• y = -2x - 5

• y = 2x + 5

• y = -2x + 5

• y = 2x - 5

If a company charges $X per hour for floors and $Y per hour for the rest, and the total for 2 hours of floors and 3 hours of rest is $84, what is the equation?

• 2X + Y = 84

• X + Y = 84

• 3X + 2Y = 84

• 2X + 3Y = 84

Which transformation would make a U-shaped graph no longer a function?

• Reflect across the X-axis

• Rotate 90 degrees clockwise

• Reflect across the Y-axis

• Translate left

What is the equation for the cost of pouring a concrete slab with an initial cost of $75 and $2.50 per square foot?

• Y = 2.5X + 75

• Y = 2.5 + 75X

• Y = 75 + 2.5X

• Y = 75X + 2.5

What is the volume of a cylinder with a radius of 1 and height of 21?

• 3π

• 21π

• 42π

• 66π

How does removing an outlier below the line of best fit affect the slope?

• Reverses the slope

• No effect on the slope

• Decreases the slope

• Increases the slope

What is the equation of the line of best fit if the y-intercept is around 60?

• Y = -3X + 69

• Y = -7/2X + 47

• Y = -10/3X + 60

• Y = -5X + 80

If a car's value decreases by $2,000 per year from an initial $30,000, what is the slope of the depreciation line?

• 3000

• -2000

• 2000

• -3000