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A-REI.B.4 — Practice Problems

High School A-REI Covered
Solve equations and inequalities in one variable

Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)^2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a +/- bi for real numbers a and b.

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Sample A-REI.B.4 problems

20 problem types align to this standard. Every worksheet is a fresh set with complete step-by-step solutions.

Sample practice problems for Common Core A-REI.B.4

Other High School standards with practice

  • A-SSE.A.1 Interpret the structure of expressions
  • A-SSE.A.2 Interpret the structure of expressions
  • A-SSE.B.3 Write expressions in equivalent forms to solve problems
  • A-SSE.B.4 Write expressions in equivalent forms to solve problems
  • A-APR.A.1 Perform arithmetic operations on polynomials
  • A-APR.B.2 Understand the relationship between zeros and factors of polynomials
  • A-APR.B.3 Understand the relationship between zeros and factors of polynomials
  • A-APR.C.4 Use polynomial identities to solve problems
  • A-APR.C.5 Use polynomial identities to solve problems