Equivalent expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you simplify the expression (e + e) + e?

Back

You combine like terms to get 3e.

Front

What is the process to combine the terms in the expression 6y + 22y + y?

Back

Add the coefficients of like terms: 6 + 22 + 1 = 29, resulting in 29y.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a term by a sum.

Front

How do you apply the distributive property to the expression 2(r + y)?

Back

You distribute 2 to both r and y, resulting in 2r + 2y.

Front

What is the result of applying the distributive property to 7(3a + 4b)?

Back

Distributing 7 gives you 21a + 28b.

Front

What is the first step in simplifying an expression?

Back

Identify and combine like terms.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you identify equivalent expressions?

Back

Two expressions are equivalent if they simplify to the same expression or have the same value for all variable inputs.

Front

What is the importance of understanding equivalent expressions in algebra?

Back

Understanding equivalent expressions helps in simplifying problems and solving equations more efficiently.