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

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 3x + 5, the constant is 5.

Front

How do you simplify the expression -8n - 7(n+5)?

Back

The simplified expression is -15n - 35.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 6x + 12x + 3y.

Back

The simplified expression is 18x + 3y.

Front

Find an equivalent expression for 36x + 24.

Back

An equivalent expression is 2(18x + 12).

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the coefficient in the expression 3x + 5?

Back

The coefficient is the number in front of the variable. In this case, the coefficient of x is 3.

Front

How do you apply the Distributive Property to the expression 5(x + 2)?

Back

Using the Distributive Property, 5(x + 2) = 5x + 10.

Front

What is the result of simplifying the expression 4(9x + 7)?

Back

The result is 36x + 28.