Mathematical Concepts and Problem Solving

The video tutorial covers a range of mathematical concepts, including determining if y is a function of x, understanding angles in triangles, converting numbers to scientific notation, and exploring translations and dilations in geometry. It also discusses proportional graphs, calculating slope, and various math formulas and theorems. The teacher provides practical examples and encourages students to apply these concepts in their tests.

Which of the following sets of ordered pairs represents a function?

• (1, 2), (2, 3), (3, 4), (1, 5)

• (1, 2), (2, 3), (3, 4), (4, 5)

• (1, 2), (2, 3), (3, 4), (3, 5)

• (1, 2), (2, 3), (2, 4), (4, 5)

If the interior angles of a triangle are 50°, 60°, and x°, what is the value of x?

• 70°

• 80°

• 90°

• 100°

Convert the number 0.00045 into scientific notation.

• 4.5 x 10^4

• 4.5 x 10^-4

• 4.5 x 10^-3

• 4.5 x 10^3

What is the result of translating a point (3, 4) two units left and four units up?

• (5, 8)

• (1, 0)

• (5, 0)

• (1, 8)

Which of the following scale factors will enlarge a shape?

• 0.5

• 1

• 1.5

• 2/3

How can you determine if a graph is proportional?

• It forms a straight line through the origin.

• It forms a curve.

• It has a slope of zero.

• It has a y-intercept of zero.

What is the slope of a line that rises 6 units and runs 2 units?

• 3

• 1/3

• 6

• 2

What is the hypotenuse of a right triangle with legs of 3 and 4 units?

• 7 units

• 8 units

• 6 units

• 5 units

How do you find the mean absolute deviation of a data set?

• Find the mean of the data set and then the mean of the distances from the mean.

• Find the range of the data set.

• Find the mode of the data set.

• Find the median of the data set.

What is the slope-intercept form of a line with a slope of 2 and a y-intercept of -3?

• y = 2x + 3

• y = 2x - 3

• y = -2x + 3

• y = -2x - 3