
| Skills to be tested |
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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. |