Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 3x, 3 is the coefficient.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.

Front

What is the value of the expression 2x + 3 when x = 4?

Back

The value is 2(4) + 3 = 8 + 3 = 11.

Front

What is the term in the expression 5x^2 + 3x + 7?

Back

The terms are 5x^2, 3x, and 7.

Front

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

Back

The degree is 3, which is the highest exponent of the variable.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol (like x or y) that represents a number that can change, while a constant is a fixed value that does not change.

Front

What is the expression for 'three times a number c'?

Back

The expression is 3c.

Front

What is the value of the expression 2x^2 - 5y + 3 when x = 3 and y = 3?

Back

The value is 2(3)^2 - 5(3) + 3 = 18 - 15 + 3 = 6.

Front

What is the equivalent expression for 3 * 3 * 3 * 3?

Back

The equivalent expression is 3^4.