1) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work.
x + 2y = 6
2) Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work.
5x - 3y = 12
3) Find at least five ordered pairs that satisfy the following equation and graph the function through them. You may use the grid provided or create your own graph. Show all work.
y = |x-2| + 3
4) Write an equation of a line through the point (2, 4) that is perpendicular to the x-axis. Graph the line on the grid below or create your own graph. State the slope of this line.
5) Given the linear equation 3x -4y =-8, find the slope and y-intercept of the line. Show all work below.
6) State the domain and the range of the relation graphed below. Determine whether or not the relation is a function and explain your reasoning.
7) Given f(x) = 2x2 - 3x -5 find each of the following, showing all work:
a) f(3)
b) f(-3)
c) f(0)
d) f(1/2)
e) f(-3/4)
8) Given the points (4, -2) and (-6, 2):
a) Find the slope of the line through the points.
b) Write an equation in point-slope form of the line through the points.
c) Convert the equation to slope-intercept form.
d) Convert the equation to standard form.
e) Graph the equation. You may use the axes provided, or create your own graph.
9)
a) Write an equation of a vertical line through the point (-3, 5).
b) Write an equation of a horizontal line through the point (-7, -2).
c) Find the slope of a line parallel to the line with equation 3x - 7y = 21.
d) Find the slope of a line perpendicular to the line with equation 2x + 3y = 5.
e) Write an equation in point-slope for of the line through the point (-3, 2) perpendicular to the line with equation 2x + 3y = 5.
10) The number of Burger King restaurants worldwide in 2012 was 35,752. In 2007, there were 34,561 Burger King restaurants worldwide. Let y be the number of Burger King restaurants in the year x, where x = 0 represents the year 2007.
a) Write a linear equation that models the growth in the number of Burger King restaurants worldwide in terms of x. [Hint: the line must pass through the points (0, 34561) and (5, 35752)].
b) Use this equation to predict the number of Burger King restaurants worldwide in the year 2014.
c) Explain what the slope for this line means in the context of the problem.