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 does the term 'term' mean in algebra?

Back

A term is a number and/or variable that is separated by addition or subtraction in an expression. For example, in the expression 3x + 5y - 2, there are three terms: 3x, 5y, and -2.

Front

What is the meaning of 'coefficient'?

Back

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

Front

What does 'exponent' refer to in algebra?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, in x^3, 3 is the exponent, meaning x is multiplied by itself three times.

Front

What is the difference between a variable and a constant?

Back

A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value (like 5 or -3) that does not change.

Front

What does 'cubed' mean?

Back

Cubed means raising a number to the power of three. For example, 2 cubed (2^3) equals 2 × 2 × 2 = 8.

Front

What is the expression for 'x cubed less than 7'?

Back

The expression is 7 - x^3.

Front

What does 'squared' mean?

Back

Squared means raising a number to the power of two. For example, 3 squared (3^2) equals 3 × 3 = 9.

Front

What is the result of simplifying the expression 3(2 + 7) - 10?

Back

The result is 3(9) - 10 = 27 - 10 = 17.

Front

What is the term for the result of an addition operation?

Back

The result of an addition operation is called the 'sum'.