Program Guide - Department of Human Resources, Labour and ...

IM 3210
Algebra II
1. Linear Sentences
1.1 Determine distance between two points and apply distance formula to solve problems.
1.2 Determine midpoint of a line segment and use midpoint formula to solve problems.
1.3 Determine slope of a line including parallel and perpendicular lines and apply slope
formula in solving problems.
1.4 Find absolute value of a number.
1.5 Given a line, find steepness and direction of slope.
1.6 Graph a line given:
(a) its slope and y - intercept
(b) its slope and any point
(c) any two points on the line
1.7 Write equation of a line from standard form to slope-intercept form and vice versa.
1.8 Solve any linear equation for an unknown variable.
1.9 Graph a linear equation given:
(a) slope and y - intercept method
(b) two intercept methods
(c) a point on the equation and the equation of a parallel and perpendicular line
1.10 Find the equation of a line given:
(a) slope and y - intercept
(b) slope and a point on the line
(c) two points on the line
(d) a point and either the equation of perpendicular line or a parallel line
(e) the graph of a line
1.11 Solve and graph linear inequalities.
1.12 Graph y = x.
1.13 Translate forms of y = x, such as y = x + a, y + b = x, and y + b = x + a.
1.14 Write equations when given a translated graph.
2. Systems of Linear Equations
2.1 Determine, algebraically and by graphing, whether a system of equations in two
variables has one solution, no solutions, and infinitely many solutions.
2.2 Solve a system of equations in two variables by:
(a) graphing
(b) multiplication or addition method
(c) substitution method
2.3 Solve a system of linear inequalities in two variables by graphing.
2.4 Apply methods of solving systems of equations and inequalities in two variables to
solving real word problems.
3. Rational Expressions
137
ABE Level III Curriculum