Translate 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 or multiplication). For example, 3x + 5 is an algebraic expression.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign. An equation is a statement that two expressions are equal, indicated by an equality sign (e.g., 2x + 3 = 7).

Front

What operation is represented by 'the difference of 5 and a number'?

Back

Subtract. The algebraic expression is x - 5.

Front

What operation is represented by 'six more than a number'?

Back

Add. The algebraic expression is x + 6.

Front

What is the operation and expression for 'the cube of a number'?

Back

Operation: Cube. Expression: x³.

Front

Which of the following is an algebraic expression: 3 + 17 - k or 3x - 45 = b?

Back

3 + 17 - k is an algebraic expression because it contains a variable (k) and does not have an equality sign.

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 x + 2, x is the variable.

Front

What is a numeric expression?

Back

A numeric expression is a mathematical phrase that contains only numbers and operations, without any variables. For example, 5 + 3 is a numeric expression.

Front

What operation is represented by 'twice a number'?

Back

Multiply. The algebraic expression is 2x.

Front

What does 'evaluate' mean in the context of algebraic expressions?

Back

To evaluate an algebraic expression means to substitute the values of the variables and perform the operations to find a numerical result.