In this Grade 11 enVision Algebra 2 lesson from Chapter 1, students learn how to solve one-variable equations and inequalities by graphing, including linear equations, absolute value equations, and quadratic inequalities. They practice rewriting each equation as two separate functions, graphing both, and identifying points of intersection or intervals where the inequality holds true. The lesson connects graphical solutions to real-world contexts such as distance-rate problems.
Section 1
Graphical solution of equations
We can use graphs to find solutions to equations and inequalities in one variable.
Using the graph of :
Section 2
Finding Solutions by Graphing Intersections
To solve an equation graphically, rewrite it as two separate functions and graph both. The -coordinate of any intersection point between the two graphs is a solution to the original equation.
Section 3
Verifying Graphical Solutions by Substitution
To verify a graphical solution , substitute the value into the original equation and check that both sides are equal: if the original equation is , then must be true.
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Section 1
Graphical solution of equations
We can use graphs to find solutions to equations and inequalities in one variable.
Using the graph of :
Section 2
Finding Solutions by Graphing Intersections
To solve an equation graphically, rewrite it as two separate functions and graph both. The -coordinate of any intersection point between the two graphs is a solution to the original equation.
Section 3
Verifying Graphical Solutions by Substitution
To verify a graphical solution , substitute the value into the original equation and check that both sides are equal: if the original equation is , then must be true.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter