Common Core · High school
HSA-CED.A.1
High school — Create equations in one variable, including quadratics, and use them to solve problems.
High school — Create equations and inequalities in one variable and use them to solve problems.
The 2 skills that cover it
- Quadratic EquationsSolve equations containing a squared term by factoring, by taking square roots, and with the quadratic formula.Read the lesson →
- Absolute Value & Compound InequalitiesSolve equations with an absolute value by splitting them into two cases, and solve compound inequalities joined by "and" or "or", writing each solution as an interval on the number line.Read the lesson →
What a student should be able to do
- Solve a quadratic by factoring and the zero-product property.
- Solve x2 = k by taking square roots, keeping both signs.
- Apply the quadratic formula and interpret the discriminant.
- Solve projectile and area word problems with quadratics.
- Solve |x - a| = b and |ax + b| = c, giving both solutions.
- Solve an "and" compound inequality such as -3 < 2x + 1 <= 7.
- Solve an "or" compound inequality and describe its solution set.
- Solve an absolute value inequality and write the solution as a compound inequality.