This chapter reviews key foundational concepts from Algebra 1 including the aspects of linear functions and their slopes. The chapter teachers constructing, graphing, solving, and combining individual functions and systems.

The chapter starts of by describing what a linear function is and how we can determine such a function by determining the slope and y-intercept. These variables can be found by knowing at least two points that fall on the line. Next, we discuss the slope formula and the slope-intercept form.

The next part of the chapter discusses how to graph a linear function in slope-intercept form as well as the concept of the standard form of a line. It also explains linear inequalities and how to solve them algebraically and graphically. Finally, the chapter discusses how to combine functions through addition, subtract, multiplication, and division which creates a new function with similar or new characteristics, depending on the original functions and the operation used.

Mathleaks eCourses is a digital curriculum written for the Common Core State Standards (CCSS). Any teacher can use our eCourses either as a stand-alone curriculum or as a supplement to their current textbooks. Our courses include theory with animated instructions, problem-solving exercises with answers, hints, and solutions, practice tests, videos, and printable worksheets. It can also be used to supplement homeschoolers or tutors when working with students.

Subchapters:

• Writing Linear Functions
• Graphing Linear Relationships
• Solving Linear Systems
• Combining Linear Functions