Algebra II Test

Unit Two – Linear Equations and Functions

Good Luck To______Period_____Date______

Vocabulary: Define each word and give an example.

  1. Range (of a function)
  1. Perpendicular
  1. Constant of Variation
  1. Point-Slope Form of a Linear Equation

Short Answer:

  1. Describe how to tell from a graph if a relation is a function.
  1. What kind of line has a slope that is undefined? Write an example of an equation for this line.

Review:

  1. Solve the equation. Check your solution(s):
  1. Solve for w:
  1. Solve the inequality. Then graph your solution on a number line.

Problems:

**Be sure to show all work used to obtain your answer. Circle or box in the final answer.**

  1. Use the relation.
  1. Graph the relation.B. State its domain and range. C. Is the relation a function?
  1. Graph the following linear equations:

a. b.

c. d.

  1. Evaluate the function for the given value of x:
  1. Write the equation of the line with a slope of that passes through the point in point-slope form.
  1. Write an equation of the line that passes through the points and .
  1. Write the equation of the line that passes through the points and in standard form.
  1. Write an equation of the line that passes through and is parallel to the line in slope-intercept form.
  1. Graph the inequalities:

a. b.

  1. Graph the function:

a. b.

  1. Find the x- and y- intercepts of the line .
  1. The variables x and y vary directly, and when . Write an equation that relates the variables.
  1. The cost of running an ad in the newspaper is $10.00 plus $.75 per word. Write a linear equation for the cost C of an ad that is w words long. Then calculate how much it would cost for a 50-word ad.
  1. Draw the scatter plot and best-fitting line for the data. Write the equation of the best-fitting line.

x / 1 / 2 / 3 / 3 / 5 / 5 / 6 / 7 / 8 / 9
y / 1 / 3 / 5 / 4 / 8 / 9 / 11 / 14 / 19 / 22

What type of correlation does the data represent?

  1. Graph the piecewise function:

Multiple Choice Question: Circle the best answer.

  1. In 2000 the average price of a home in West County was $95,000. By 2007 the average price of a home was $123,000. Which of the following is a linear model for the price of a home, P, in West County in terms of the year, t? Let correspond to the year 2000.
  1. What is the range of the following relation?
  1. Write an equation in standard form that is perpendicular to and goes through .
  1. Use the graph below. What is the slope of the line?
  1. B. C. D.
  1. Evaluate for the piecewise function .

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