Simplifying Algebraic Expressions

Front

What is the process of simplifying an algebraic expression?

Back

The process of simplifying an algebraic expression involves combining like terms, applying the distributive property, and reducing the expression to its simplest form.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

What is a constant in algebra?

Back

A constant is a number that does not change and does not have a variable attached to it.

Front

How do you apply the distributive property to an expression?

Back

The distributive property states that a(b + c) = ab + ac. It involves multiplying a term outside the parentheses by each term inside the parentheses.

Front

What is the result of simplifying the expression 5a + 2b - 3a + 4?

Back

The result is 2a + 2b + 4.

Front

What is the simplified form of the expression 3h + 7(2 + 4h)?

Back

The simplified form is 31h + 14.

Front

What is the simplified form of the expression -r - 10r?

Back

The simplified form is -11r.

Front

What is the result of simplifying the expression -5(x + 4)?

Back

The result is -5x - 20.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and group like terms.