Solving Equations and Geometry Concepts

The video tutorial covers various mathematical concepts, including calculating miles per gallon, probability, verifying right triangles, solving algebraic formulas, direct variation, unit conversion, perimeter and volume of prisms, simplifying expressions, solving linear equations, subtraction with borrowing, graphing inequalities, calculating percentages, graphing linear equations, calculating total cost with tax, area of trapezoids, finding terms in sequences, and simplifying radicals.

How do you calculate the average miles per gallon for a car?

• Multiply miles by gallons

• Subtract gallons from miles

• Divide miles by gallons

• Add miles and gallons

What is the probability of drawing a non-green marble from a bag with a 5:7 green to yellow ratio?

• 5/12

• 7/12

• 1/2

• 5/7

Which theorem helps determine if a triangle is a right triangle?

• Sine Rule

• Cosine Rule

• Triangle Inequality Theorem

• Pythagorean Theorem

How do you solve for a variable in the equation V = LWH?

• Multiply both sides by LW

• Divide both sides by LW

• Add LW to both sides

• Subtract LW from both sides

If 56 popsicles are sold for $16.80, how much is made from selling 350 popsicles?

• $115

• $105

• $100

• $110

How do you convert cost from square yards to square feet?

• Multiply by 9

• Divide by 3

• Divide by 9

• Multiply by 3

What is the perimeter of a prism's base if the sides are 3, 4, and 5 cm?

• 10 cm

• 11 cm

• 12 cm

• 13 cm

How do you calculate the volume of a prism?

• Base area times height

• Base perimeter times height

• Base area divided by height

• Base perimeter divided by height

What is the simplified form of 5a^2b^3 - 3a^4b?

• 2a^2b^3

• 2a^3b^3

• 2a^3b

• 2a^4b

What is the first step in solving the equation 2(x + 2) = x - 8?

• Subtract 2 from both sides

• Add 8 to both sides

• Distribute the 2

• Divide by 2