MATH PRESENTATION

1.

• This question is very simple. Use the quadratic formula.
• Substitute the values in, and simplify!
• (-b +- √b^2-4(a)(c) ) / 2
• -3x^2 = a; 2=b; -3=C
• The answer is B

2.

• The way to do this problem can be a bit confusing, as it's drawn out.
• First, we find the volumes of both cylinders. The formula for that is V=(pi)r^2h
• After that, we compare the volumes.
• Volume of Cylinder A= 251.32
• Volume of Cylinder B= 9047.79
• Now we compare. The easiest way to do this is to use the answer choices. Multiply 251.32 by each choice's number.
• The answer is C.

3.

• This is the same way as problem 1, with a little twist.
• First we must move all the terms to one side, so we can set the equation to 0 to make it easy to solve.
• Subtract x+3 from both sides.
• Now we combine like terms (subtract another x from 3x, and combine 4 and -3), and solve it using the quadratic formula.
• After we substitute and solve, the answer in decimal form is D

4

• To solve this problem, we must find the roots of all the polynomials.
• To do this, we apply the rational roots test by just solving the polynomials.
• The answers are: 3x^2-4x=-7; 4x^2-9=0; and x^2-5x-3=0

5.

• This question is also pretty easy.
• We must find the length of the last side.
• (It's safe to assume the angle between the ground and building is a right angle since buildings are built on level surfaces.)
• Use the Pythagorean theorem (a^2 + b^2= c^2)
• Sub in the values and solve. 12 = b, 23=c
• The answer is D

6.

• Using our knowledge of diagonals and squares, we determine the correct answers.
• The right column, top option is correct, as well as the left column middle.