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Chapter 1 Equations, Inequalities, and Applications (EQ)
Objectives
How do we find solutions of equations?
By the end of this chapter, you should be able to...
Solve linear equations in one variable. Solve linear inequalities in one variable and express the solution graphically and using interval notation.
Solve application problems involving linear equations.
Given two points, determine the distance between them and the midpoint of the line segment connecting them.
Solve linear equations involving an absolute value. Solve linear inequalities involving absolute values and express the answers graphically and using interval notation.
Solve quadratic equations using factoring, the square root property, completing the square, and the quadratic formula and express these answers in exact form.
Readiness Assurance. Before beginning this chapter, you should be able to...
Plot points on the coordinate plane.
Determine whether a given value is a solution to an equation.
Solve two step linear equations.
Use interval notation.
Find the absolute value of real numbers.
Use the Pythagorean Theorem to find side lengths of right triangles.
Factor quadratic equations.
Solve one-step problems involving distance, rate, and time.
Use the percent equation.
Simplify square roots of positive numbers.
Simplify square roots of negative numbers using \(i\text{.}\)
