Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical value.

Front

What is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an algebraic expression or equation.

Front

What is a coefficient?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

What is a constant 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 combine like terms in an expression?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler expressions (factors) that, when multiplied together, give the original expression.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

What is the sum of seven and x represented as an algebraic expression?

Back

The sum of seven and x is represented as 7 + x.