Chapter 2
What is the process for solving an absolute value equation?
One of them is positive and one of them is negative, then solve each.
What is the slope of a constant function?
0
How do you write an equation in slope-intercept form given a slope and a point?
Plug the slope and point into the equation y = mx + b, and then solve for b.
How do you represent the solution to x>3 in interval notation?
(3,∞)
How do you solve a system by graphing?
Graph both lines and find the intersection point.
How do you translate “the sum of a number and 7 equals 15” into an algebraic equation?
x+7=15
What does the b stand for in y = mx + b
y-intercept
What is the formula for point-slope form?
Y-Y1=M(X-X1)
What is the difference between a compound inequality using AND versus OR?
AND means both conditions must be true; OR means at least one condition is true.
What is the substitution method?
Solve one equation for a variable and substitute into the other.
What steps do you follow to isolate a given variable in a multi-step equation?
Combine like terms, use inverse operations, and isolate the variable.
What are the three forms of a linear equation?
Standard, Slope-Intercept, Point-Slope
How do you convert an equation from slope-intercept form to standard form?
Rearrange to Ax+By=C
How do you solve and graph ∣x∣<4?
Write it as -4<x<4 and graph in between -4 and 4.
How does the elimination method work?
Add or subtract equations to eliminate one variable.
How do you solve a proportion like a/b =c/d?
Cross-Multiply and Divide.
What form of linear equation can be graphed by directly using x and y intercepts?
Standard
What condition makes two lines parallel?
Same slope, different intercepts.
What type of circle do you use when graphing x is greater than or equal to 2?
A closed circle
What does it mean if a system has no solution?
The lines are parallel.
Why do absolute value equations often have two solutions?
Because absolute value represents distance from zero, which can be positive or negative.
What function will return a positive value at all times when not reflected arcross the y-axis or shifted down?
Absolute Value
How do you determine if two lines are perpendicular?
Their slopes are negative reciprocals.
What type of circle do you use when graphing X ≥ 2?
A closed circle.
How do you graph a system of inequalities?
Graph each inequality and shade the overlapping region.