SOL Review Questions – Turtle Race

Mile 1:

  1. How do you factor on a calculator?
  1. When you solve a system of equations by graphing, how do you know the solutions?
  1. How many solutions does this system have?
  1. Solve this system of equations. Find the x-values.

Mile 2:

  1. What is an inverse variation? In variation, where is “k” always located?
  1. If a temperature is constant, the volume of a gas varies inversely as its pressure. A gas with a pressure of 150 pounds per square inch occupies a volume of 25 cubic feet. What is the constant of proportionality for this variation?
  1. How do you find the inverse of a function?
  1. What is the inverse of g(x) = x3 – 8?

Mile 3:

  1. List ALL the steps to finding regression (line or curve of best fit).
  1. What are 2 different words that also mean x-intercepts?
  1. What can z-score be used for?
  1. How many solutions does this quadratic equation have? 2x2 + 4x – 1 = 0

Mile 4:

  1. How do you find standard deviation on a calculator? Be specific.
  1. How do you do permutation on a calculator? What does permutation mean?
  1. A storeowner employs a total of 3 cashiers and 7 clerks. The owner plans to select a committee of 1 cashier and 2 clerks. What is the number of different committees the owner could choose?
    [Hint: Is it a permutation or combination? You have to do 2 different ones for cashier and clerk, then multiply them together.]
  1. The graph summarizes the test scores of 50,000 students. The data is normally distributed with a mean of 81 and a standard deviation of 2.5. Shade the regions under the curve where only the data for approximately 23,750 students are located. [Hint: Find the percentage that 23,750 students is of the whole.]

Mile 5:

  1. What is the difference between a sequence and a series?
  1. What is the difference between arithmetic and geometric?
  1. Evaluate:
  1. Let g(x) = 2x2 – 5 and . What is g(h(12))?

Mile 6:

  1. What does an even degree tell you about the end behavior on a graph? Odd degree?
  1. How do you know the number of turning points just from looking at an equation?
  1. Throughout which interval is f(x) = 2x3 – 3x2 – 12x increasing?

Mile 7:

  1. What type of asymptote does an EXPONENTIAL function have?
  1. Draw an absolute value graph.
  1. Solve and graph on a number line:
  1. What is the parent function of this graph?

Mile 8:

  1. How do you solve absolute value equations?
  1. Give an example of an absolute value equation that has no solution.
  1. [Hint: = sign so no shading! Just points as your answers!]
  1. Solve the inequality and graph on a number line: |4x- 2| < 8

Mile 9:

  1. How do you find probability from a normal distribution on a calculator?
  1. Draw the normal curve and label all percentages.
  1. A family reunion planning committee with 8 members plans to elect 3 officers – president, treasurer, and historian. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?
  1. The heights of 200 kindergarten students at Arcola Elementary are normally distributed with a mean of 40 inches and a standard deviation of 1.8 inches. Approximately how many students have a height between 37.3 inches and 44.5 inches? [Hint: Find percentage first. Then what do you do with that percentage and the whole number of kindergarten students?]

Mile 10:

  1. How do you get a table of points to help you graph on a calculator?
  1. How do you graph an inequality on a calculator?
  1. How do you find the zeroes, y-intercept, min, and max on a calculator?
  1. Draw a cubic function.

Mile 11:

  1. What is the domain and range of: y = –|x|? Hint: draw graph first
  1. What is the domain and range of: ?
  1. What is the domain and range of: y = (x + 2)2?
  1. What is the domain and range for a cube root graph?

Mile 12:

  1. What is the horizontal and vertical asymptote? Label which is which. ?

Horizontal:

Vertical:

  1. What is the horizontal and vertical asymptote? Label which is which.

Horizontal:

Vertical:

  1. Solve:
  1. Simplify:

Mile 13:

  1. How do you simplify a radical?
  1. Give an example of two conjugates with an “i".
  1. A solution to a quadratic equation is . What is another solution to this equation?

Mile 14:

  1. Give an example of the commutative property.
  1. Which property is: a x 1 = a?
  1. What does “h” and “k” tell you about how a graph is transformed?
  1. Simplify

Mile 15:

  1. When solving exponents there are 2 basic steps. 1 is to get the bases the same. What is step 2?
  1. What is a similarity and difference between direct and joint variation?

  1. Solve: