Equivalent Expressions Review

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

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to reduce it to its simplest form.

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

How do you combine like terms?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

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 is the first step in simplifying the expression 4(3y - 5) - 2y?

Back

The first step is to apply the distributive property: 4 * 3y - 4 * 5 - 2y.

Front

What is the result of simplifying the expression 6 + 2(7x - 3)?

Back

The result is 14x, after applying the distributive property and combining like terms.

Front

How do you simplify the expression 6(x + 1) - 5(x + 2)?

Back

First, apply the distributive property to both terms, then combine like terms to get x - 4.

Front

What is the simplified form of 3(2z + 1) - 4(z - 3)?

Back

The simplified form is 6z + 15.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, often to simplify or solve equations.