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Test 1 Review  Linear Inequalities
Section 2.1
Linear equations in one variable :
• Solving a linear equation in one variable
Examples:
Section 2.2
Problem solving:
• Story Problems
Example:
•John has 15 more students than Rebecca. There are a total of 93 students. How
many students do each have? John had
54, Rebecca had 39
Section 2.3
Formulas and problem solving:
• Solve a formula for a specified variable
Examples:
Section 2.4
Linear inequalities and problem solving:
• Solving linear inequalities
Examples:
• Graphing the answer to linear inequalities
Practice with the above examples
• Writing the answer to linear inequalities in interval notation
Examples:
Section 2.5
Compound inequalities :
• Solving the intersection of two inequalities
Examples:
• Solving the union of two inequalities
Examples:
Section 2.6
Absolute value equations :
• Solving absolute value equations
Examples:
Section 2.7
Absolute value inequalities:
• Solving absolute value inequalities of the form
Examples:
• Solving absolute value inequalities of the form
Examples:
Section 3.1
Graphing equations:
• Graph linear equations
Examples:
• Label quadrants
• Label xaxis and yaxis
• Label origin
• Standard form:
• xintercept: Let y=0 and solve for x
• yintercept: Let x=0 and solve for y
Section 3.2
Introduction to functions:
• Domain
• Range
• Identify functions
Vertical Line Test
• Function notation
Section 3.3
Graphing linear functions:
• Graph linear functions by finding intercepts
• Graph vertical and horizontal lines
Section 3.4
Slope:
• Slope
• Slope intercept form
• Slope of vertical and horizontal lines
• Parallel lines
Same slope
• Perpendicular lines
Slopes are negative reciprocals
Section 3.5
Equations of lines :
• Graph a line using slope and yintercept
• Pointslope form:
• Write equations of vertical and horizontal lines
• Find equations of parallel and perpendicular lines Examples:
•Find the equation of the line through
and parallel to the line
•Find the equation of the line through ,4 and perpendicular to the line
Section3.6
Graphing linear inequalities:
Examples:
• Graph
• Graph
• Graph
Section 4.1
Solving systems of linear equations in two variables:
• Solve a system by graphing
• Solve a system by substitution
Examples:
•Solve the system by the substitution method
•Solve the system by the substitution method
• Solve a system by elimination
Examples:
•Solve the system by the elimination method
•Solve the system by the elimination method
Section 4.3
Problem solving:
• Story Problems
Example:
•Two climbers start at the same point and travel in
opposite directions. One travels 4 feet per minute faster than the
other. In 4 minutes they are 112 feet apart. Find how fast each is traveling. 12
feet per minute and 16 feet per minute
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