Algebraic Expressions Review

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to simplify an expression?

Back

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

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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 parenthesis.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the operations.

Front

What is the value of the expression 3(2y - 7) when y = 4?

Back

The value is 3(2(4) - 7) = 3(8 - 7) = 3(1) = 3.

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).

Front

How do you write a number in exponential form?

Back

To write a number in exponential form, express it as a base raised to a power. For example, 3 • 3 • 3 • 3 can be written as 3^4.

Front

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

Back

The coefficient is the number in front of the variable. In this case, the coefficient of x is 5.

Front

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

Back

The constant is the term without a variable. In this case, the constant is 3.