Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does the term 'variable' mean in algebra?

Back

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

Front

What is the difference between a constant and a variable?

Back

A constant is a fixed value that does not change, while a variable can represent different values. For example, in the expression 4x + 7, '4' is a constant and 'x' is a variable.

Front

How do you simplify the expression 2x + 3x?

Back

You combine like terms to get 5x.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers. For example, to evaluate 2x + 3 when x = 2, you would calculate 2(2) + 3 = 7.

Front

What is the algebraic expression for 'five times a number x'?

Back

5x.

Front

How would you express 'the sum of a number y and 10'?

Back

y + 10.

Front

What is the expression for 'twice the sum of x and 4'?

Back

2(x + 4).

Front

How do you write 'the difference of 15 and a number z'?

Back

15 - z.

Front

What is the expression for 'three less than a number n'?

Back

n - 3.