Scientific Notation and Linear Equations

Mr. Baskin's math tutorial covers scientific notation, performing calculations with exponents, solving a scale model problem, and writing equations for systems of equations. The video begins with an introduction to scientific notation, followed by examples of addition and multiplication using exponents. It then addresses a practical problem involving the scale model of the solar system, requiring division to find distances. Finally, the tutorial explores systems of equations, focusing on writing equations for systems with infinitely many, no, and one solution.

What is the scientific notation for the number 8300?

• 8.3 x 10^3

• 83 x 10^2

• 830 x 10^1

• 0.83 x 10^4

When adding numbers in scientific notation, what must be true about their exponents?

• They must be different.

• They must be the same.

• They must be negative.

• They must be positive.

What is the result of multiplying 4.1 x 10^7 by 2?

• 2.05 x 10^7

• 8.2 x 10^14

• 8.2 x 10^7

• 4.1 x 10^14

How do you simplify (3 x 10^3)^2?

• 9 x 10^9

• 6 x 10^3

• 9 x 10^6

• 3 x 10^6

What is the distance from Earth to the Sun in feet if the Earth to Moon distance is 1 foot?

• 39 feet

• 1000 feet

• 100 feet

• 390 feet

If two lines have infinitely many solutions, what must be true about them?

• They are parallel.

• They are the same line.

• They have different slopes.

• They intersect at one point.

What is the slope of a line that rises 3 units and runs 2 units?

• 1/2

• 2

• 3/2

• 2/3

What is the y-intercept of the line y = 3/2x - 3?

• 3

• 2

• -3

• 0

For a system of equations to have no solutions, what must be true about the lines?

• They are parallel.

• They have different slopes.

• They are the same line.

• They intersect at one point.

What is the equation of a line with a slope of 1/2 that passes through the point (2, 2)?

• y = 2x + 1

• y = 2x - 1

• y = 1/2x + 2

• y = 1/2x + 1