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 combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the distributive property?

Back

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

Front

What is the result of combining the like terms in the expression 3x + 5 + 7x + 2?

Back

The result is 10x + 7.

Front

How do you apply the distributive property to the expression 4(x + 6)?

Back

By applying the distributive property, you multiply 4 by both x and 6, resulting in 4x + 24.

Front

What is the result of applying the distributive property to 6(2x - 3)?

Back

The result is 12x - 18.

Front

How do you combine like terms in the expression 3a^2 + 6a + 5a^2?

Back

Combine the like terms 3a^2 and 5a^2 to get 8a^2, resulting in 8a^2 + 6a.

Front

What is the result of combining the like terms in the expression 6y + 22y + y?

Back

The result is 29y.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same value for all possible values of their variables.