High School · Creating Equations

CCSS.MATH.CONTENT.HSA.CED.A.1

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Read this standard on the official Common Core site

Lessons that teach this standard

• How to Solve Absolute Value Inequalities

  Solve absolute value inequalities by thinking in distances: less than gives one stretch of the number line, greater than gives two rays pointing away.

• Writing Equations and Constraints from Situations

  How to turn a situation into an equation or inequality and solve it, why some solutions are not viable, and how a system of inequalities shows every option that works.

• Polynomial and Rational Inequalities: Sign Charts

  Solve polynomial and rational inequalities with a sign chart: find every critical number, test each interval, and handle zeros of the denominator correctly.

• Solving Quadratic Inequalities

  Solve inequalities like x² − x − 6 > 0 by finding where the parabola crosses the x-axis, testing the intervals between, and writing the answer as intervals.