Neft Teacher · Vocab Explorer

Unit 6 · Standard 6.AT.7

🔑 Identify Equivalent Algebraic Expressions — Vocab Explorer

Lesson 6-6 · Learn the words, then practice them

① Word Wall

Look at the picture, read the meaning, and tap 🔊 to hear each word.

Illustration of Equivalent Expressions: Expressions that look different but have the same value for every allowed variable value.
Equivalent Expressions

ES Expresiones equivalentes

Expressions that look different but have the same value for every allowed variable value.

Expresiones que se ven diferentes pero tienen el mismo valor para cada valor permitido de la variable.

Illustration of Equivalent: Expressions that always have the same value.
Equivalent

ES Equivalente

Expressions that always have the same value.

Expresiones que siempre tienen el mismo valor.

Illustration of Simplify: To rewrite an expression in a shorter form that is still equal to the original.
Simplify

ES 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.

Illustration of Like Terms: Terms with the same letter raised to the same power, like 2x and 5x.
Like Terms

ES 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.

Illustration of Combine: To add or subtract terms with the same letter into one.
Combine

ES Combinar

To add or subtract terms with the same letter into one.

Sumar o restar términos con la misma letra en uno solo.

Illustration of Coefficient: The number in front of a letter, like the 3 in 3x.
Coefficient

ES Coeficiente

The number in front of a letter, like the 3 in 3x.

El número frente a una letra, como el 3 en 3x.

Illustration of Commutative Property: The order of the numbers can change in addition or multiplication without changing the result.
Commutative Property

ES Propiedad conmutativa

The order of the numbers can change in addition or multiplication without changing the result.

El orden de los números puede cambiar en una suma o una multiplicación sin cambiar el resultado.

Illustration of Associative Property: The grouping of the numbers can change in addition or multiplication without changing the result.
Associative Property

ES Propiedad asociativa

The grouping of the numbers can change in addition or multiplication without changing the result.

La agrupación de los números puede cambiar en una suma o una multiplicación sin cambiar el resultado.

Illustration of Counterexample: One test value that shows two expressions are not equivalent.
Counterexample

ES Contraejemplo

One test value that shows two expressions are not equivalent.

Un valor de prueba que muestra que dos expresiones no son equivalentes.

② Match it

Tap a word, then tap its meaning.

③ Fill in the blank

Use the word bank to finish each sentence.

Word bank
Equivalent ExpressionsEquivalentSimplifyLike TermsCombineCoefficientCommutative PropertyAssociative PropertyCounterexample
  1. 1Expressions with the same value for allowed number are equivalent.
  2. 2Expressions that always have the same value are .
  3. 3Rewriting an expression in a shorter form that is still equal to it is to it.
  4. 4Terms with the same variable raised to the same power, like 4x and 9x, are .
  5. 5To add or subtract like terms into one term is to them.
  6. 6A number multiplied by a variable is a .
  7. 7The rule that a + b = b + a is the .
  8. 8The rule that (a + b) + c = a + (b + c) is the .
  9. 9One value that shows two expressions are not equal is a .

④ Use it in a sentence

Pick one word and finish the sentence in your own words.

A is .