Solving Equations & Inequalities
When solving the equation 2x - 5 = 7, this must be done first.
What is cancel out the -5 (constant term)?
This form of a linear equation is the most common format used.
What is slope-intercept form (or y = mx + b)?
Two lines are parallel if they have this in common.
What is the same slope?
The solution to a system of equations.
What is the ordered pair where the two lines intersect?
This is the most important rule to follow when solving equations.
What is "what you do to one side, do to the other?"
When given an equation in slope-intercept form, we start with this value.
What is the y-intercept?
Two lines are perpendicular to each when their slopes are like this.
What is the negative reciprocal (of each other).
When solving a system of equations by graphing, they both need to be in this form.
What is slope-intercept form?
When solving the equation 2*(2x - 8) = 10, the first step is to use this property.
What is the distributive property?
The slope of an equation of a line is represented as this ratio.
What is rise over run (or change in y over change in x)?
A line parallel to y = 3x - 5 that goes through the point (0,3) would have this as its equation of the line (in slope-intercept form).
What is y = 3x + 3?
The system:
3x + 2y = 10
-2x - 2y = -13
would be best solved by this method.
What is elimination?
Solve the equation 5x + 3x + 2 = 10 for x.
What is x = 1?
A line parallel to y = 2x +2 that goes through the point (2,3) would have this as its equation of the line.
What is y = 2x - 1?
Solving the following system by substitution yields this as its solution.
y = 2x
3x + 4y = 11
What is (1, 2)?
Solve the equation 5*(x - 4) - 20 = 15 for x.
What is x = 11?
A line that goes through the points (1,2) and (0,4) has this as its equation of the line (in slope-intercept form).
What is y = -2x + 4?
A line perpendicular to y = (-1/2)x + 2 that goes through the point (0, -4) has this as its equation of the line (in slope-intercept form).
What is y = 2x - 4?
Solving the following system by elimination yields this as its solution.
3x + 2y = 10
3x - 5y = - 4
What is (2,2)?