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). For example, 3x + 2 is an algebraic expression.

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 4 + 5x, the number 4 is a constant.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol (usually a letter) that represents an unknown value. For example, in the expression 3x + 2, 'x' is a variable.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

Identify the terms in the expression: 7a + 3b - 2.

Back

The terms are 7a, 3b, and -2.

Front

Identify the constants in the expression: 10 + 4y.

Back

The constant is 10.

Front

Identify the coefficients in the expression: 12m - 5.

Back

The coefficient is 12.

Front

Which of the following is NOT a variable: x, y, 5, z?

Back

5 is NOT a variable.

Front

What is the difference between a term and a factor?

Back

A term is a single mathematical expression (like 3x), while a factor is a number or variable that divides another number or expression (like 3 and x in 3x).

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form. For example, 2x + 3x simplifies to 5x.