Questions in Grade High-school

Questions in Grade High-school

[Open]Simplify each sum or difference. State any restrictions on the variables. 19) \(\frac{-3x}{x^2 - 9} + \frac{4}{2x - 6}\)

[Open]How far will you travel if you run for 10 minutes at 2 m/sec?

[Open]Find the missing coordinate to complete the ordered-pair solution to the given linear equation: A) \( y + 6x = 5 \) - (a) (-1, ?) - (b) (3, ?) B) \( 3x + 2y = -6 \) - (a) (-2, ?) - (b) (?, 3) C) \( 2x + \frac{1}{3}y = 5 \) - (a) (?, 18) - (b) \(\left(\frac{8}{3}, ?\right)\)

[Open]Three cans store a total of nine tennis balls. Find the constant of proportionality and write an equation to represent the relationship.

[Open]Write the equation of a parabola with the vertex at the origin and the focus at (0, -1/32).

[Open]A tub is shaped like a rectangular solid, with internal measurements of 2 feet x 2 feet x 5 feet. If two faucets, each with an output of 2 cubic feet of water per minute, pour water into the tub simultaneously, how many minutes does it take to fill the tub completely?

[Open]The larger of two numbers is ten more than twice the smaller number. The sum of the numbers is forty. What is the original number? Solve and check.

[Open]What was a fact about the home field advantage of the 13 colonies during the Revolutionary War?

[Open]A triangular region of the community college parking lot was measured. The measure of the first angle of this triangle is double the measure of the second angle. The measure of the third angle is 19° greater than double the measure of the first angle. What are the measurements of all three angles?

[Open]Katherine is three times older than Joel now. In twenty years, Katherine will be six years older than Joel. How old is Katherine now?