Structure of Expressions

Front

What is an expression?

Back

An expression is a mathematical phrase that can contain numbers, variables, and operators, but does not have an equality sign.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equals sign.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to whole number powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables, only a number.

Front

What is a coefficient?

Back

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

Front

What is a variable?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions and equations.

Front

Simplify the expression: 5x + 3 + 2x + 4.

Back

7x + 7.

Front

Identify the constant term in the expression: 2x^2 + 5x - 10.

Back

-10.

Front

What is the degree of the polynomial 4x^3 + 2x^2 + x?

Back

3 (the highest power of x).

Front

What is the leading coefficient of the polynomial 3x^4 + 2x^3 - x + 5?

Back

3 (the coefficient of the term with the highest degree).