Chapter 3 Test

Home           Intermediate Algebra

Skills to be tested

Draw and Label:  a) the x-axis, b) the y-axis, c) the origin, d) number the quadrants, e) an ordered pair in each quadrant containing the words "positive" or "negative" as its coordinates.

Determine whether an equation is linear or non-linear (exponent on the variable?)
Determine whether an ordered pair is a solution to a given equation (plug it in and see if the equation is true)
Find ordered pair solutions for a given equation (choose x, substitute into equation, find y, write as ordered pair)
Plot the ordered pairs you found (as above) on the coordinate plane.
Graph using Plotting Points Method (find and plot 3 points as above, draw the line, label all points and the line)
Graph using Intercepts Method: find the x-intercept (let y =0) and plot it; find the y-intercept (let x=0) and plot it; draw the line; label everything.)
Solve a linear equation for y, leaving it in y=mx+b (Slope-Intercept) form
Change an equation from Slope-Intercept form (y=mx+b) to Standard Form
(Ax + By = C)
Graph using the Slope-Intercept Method (Write equation in y=mx+b form, plot the y-intercept, use the slope as directions to a second point, draw the line, label everything)
Know the Slope Formula, the Slope-Intercept Equation and the Point-Slope Equation and when to use each one.
Know the different ways to find slope:  It is given; 2 points are given  use Slope formula; from linear equation in y=mx + b form.
Write the equation of a line when given the slope and the y-intercept.  Which formula?  y = mx + b
Write the equation of a line when given the slope and a point other than the y-intercept.  Which formula? y - y1 = m(x - x1)
Write the equation of a line when given two points (use the slope formula to find the slope) then write the equation as above.
Write the equation of a line parallel (same slope) or perpendicular (slope needs to be opposite and reciprocal) when given a point and a linear equation.
Graph a linear inequality (remember to choose a test point and do shading.)
Graph a non-linear function by plotting points (Number of points = 3 times the exponent, plus choose x=0)
Identify a function using the vertical line test or a set of ordered pairs.
Identify the domain and range of a function by looking at its graph or a set of ordered pairs.