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 represent a situation with an algebraic expression?

Back

You can represent a situation with an algebraic expression by defining variables for unknown quantities and writing an expression that describes the relationship between those quantities.

Front

What does the term 'constant' refer to in an algebraic expression?

Back

A constant is a fixed value that does not change, represented by a number in an algebraic expression.

Front

How do you simplify the expression 2(3a + 8) - 5?

Back

To simplify, distribute the 2: 2*3a + 2*8 - 5 = 6a + 16 - 5 = 6a + 11.

Front

What is the first step in simplifying the expression 15x + 19 + 2x - 4?

Back

The first step is to combine like terms: (15x + 2x) + (19 - 4) = 17x + 15.

Front

What is the result of simplifying -8n - 7(n + 5)?

Back

Distribute -7: -8n - 7n - 35 = -15n - 35.

Front

What is the purpose of simplifying algebraic expressions?

Back

The purpose of simplifying algebraic expressions is to make them easier to work with and to solve equations or inequalities.

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

How can you identify the coefficient in an algebraic expression?

Back

The coefficient is the numerical factor that multiplies a variable in an expression, such as the 3 in 3x.

Front

What is the process of distributing in algebra?

Back

Distributing involves multiplying a term outside of parentheses by each term inside the parentheses.