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 variables involved.

Front

How do you combine like terms?

Back

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

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and reducing the expression to its simplest form.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors.

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 two or more terms inside parentheses.

Front

What is the equivalent expression for 3a^2 + 6a + 5a^2?

Back

8a^2 + 6a.

Front

What is the equivalent expression for 6y + 22y + y?

Back

29y.

Front

What is the equivalent expression for 15x + 10 - 6x - 1?

Back

9x + 9.

Front

What is the equivalent expression for 4(x + 6)?

Back

4x + 24.

Front

What is the equivalent expression for z + z^2 + 1?

Back

1 + z + z^2.