CurriculumGrade 6Mathematics

What It Means to Solve

Aligned to 6.EE.B.5 — Common Core State Standards for Mathematics.

What this lesson teaches

Solving an equation or inequality means finding the value (or values) of the variable that make it true. You can check any candidate by substituting it back in.

Worked example

Does x = 6 solve x + 4 = 10? Substitute: 6 + 4 = 10. True, so 6 is a solution. Does x = 6 satisfy x > 5? Yes, since 6 is greater than 5.

Practice questions

  1. Is n = 8 a solution of n − 3 = 5? Check it.
  2. Which of 2, 4, or 7 make x > 5 true?
  3. Test whether y = 9 makes 2y = 18 true.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

▶ Watch this lesson

En español

Qué Significa Resolver

Resolver una ecuación o desigualdad significa hallar el valor (o los valores) de la variable que la hacen verdadera. Puedes comprobar cualquier candidato sustituyéndolo de nuevo.

Ejemplo: ¿x = 6 resuelve x + 4 = 10? Sustituye: 6 + 4 = 10. Es verdadero, así que 6 es solución. ¿x = 6 cumple x > 5? Sí, porque 6 es mayor que 5.

More Expressions & Equations lessons

Solving One-Step Equations6.EE.B.7Expressions and Exponents6.EE.A.1Writing and Evaluating Expressions6.EE.A.2Making Equivalent Expressions6.EE.A.3Are Two Expressions Equal?6.EE.A.4Using Variables in Word Problems6.EE.B.6

Teach this lesson today

An AI tutor that guides with questions instead of just giving answers — all K–12 core subjects, every child in the family.

Start free — no card required