Algebraic Expressions

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 are the four basic operations in mathematics?

Back

The four basic operations are addition, subtraction, multiplication, and division.

Front

What does it mean to factor an expression?

Back

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

Front

Factor the expression: 45c + 10d

Back

5(9c + 2d)

Front

Simplify the expression: −7(k − 8) + 2k

Back

−5k + 56

Front

Simplify the expression: −4p − (1 − 6p)

Back

2p − 1

Front

What is a variable in algebra?

Back

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

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is a constant in an algebraic expression?

Back

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

Front

What is the difference between an equation and an expression?

Back

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