Simplify Algebraic Expressions

6.AT.7 · Unit 6 · Lesson 15

Name   Period

Objectives / Objetivos

Content Objective: I can simplify algebraic expressions by combining like terms.

Language Objective: I can explain my steps using the words like terms, combine, simplify, and coefficient.

Key Idea / Idea clave

Combining Like Terms. 1. Like Terms: Terms that share the exact same variable part and exponent (e.g. 4x and 2x). 2. Add or subtract the coefficients of like terms; keep the variable unchanged. 3. Constants (numbers without variables) combine together separately

I Notice / Observo

  • Why can you add the microphones together but not mix microphones with stands?
  • What makes microphones and stands 'different types' of items?

I Wonder / Me pregunto

  • What if some rooms returned equipment — would you subtract?

Vocabulary / Vocabulario

Term / TérminoDefinition / Definición
Simplify Algebraic Expressions
Simplificar expresiones algebraicas		Rewrite an expression in a shorter equivalent form by combining like terms and using properties.
Reescribir una expresión en una forma equivalente más corta combinando términos semejantes y usando propiedades.
Like Terms
Términos semejantes		Terms with the same letter raised to the same power, like 2x and 5x.
Términos con la misma letra elevada a la misma potencia, como 2x y 5x.
Combine
Combinar		To add or subtract terms with the same letter into one.
Sumar o restar términos con la misma letra en uno solo.
Simplify
Simplificar		To rewrite an expression in a shorter form that is still equal to the original.
Reescribir una expresión en una forma más corta que sigue siendo igual a la original.
Coefficient
Coeficiente		The number in front of a letter, like the 3 in 3x.
El número frente a una letra, como el 3 en 3x.
Term
Término		A single number, variable, or product of them, separated by + or − signs.
Un solo número, variable o producto de ellos, separado por signos + o −.

Practice Preview / Vista previa de práctica

  1. Simplify 7x + 3x.
    1. 10x
    2. 10x²
    3. 21x
    4. 73x
  2. Simplify each expression by combining like terms.
  3. Match each expression to its simplified form.
  4. Find the Simplification Error
    1. Step 1: Expression — 5x + 3 + 2y + 4x
    2. Step 2: Combine — 5x + 2y + 4x + 3
    3. Step 3: Simplify — 11xy + 3

    Which step has the mistake? Explain it and write the correct work.

Reflection / Reflexión

One thing I learned today / Una cosa que aprendí hoy: