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 x-axis and y-axis
• Label origin
• Standard form:
• x-intercept: Let y=0 and solve for x
• y-intercept: 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 y-intercept
• Point-slope 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 a system by elimination
Examples:

•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