Evaluating 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 quotient of a number and 4' mean?

Back

It means to divide a number (usually represented by a variable like n) by 4. The algebraic expression is n / 4.

Front

Evaluate the expression 30 + r² for r = 3.

Back

The value is 39, since 30 + 3² = 30 + 9 = 39.

Front

What is 'the difference of eighteen and a number'?

Back

It refers to subtracting a number (n) from 18, represented as 18 - n.

Front

What does 'w increased by 5' mean in algebraic terms?

Back

It means to add 5 to w, represented as w + 5.

Front

Write an algebraic expression for '12 more than a number'.

Back

The expression is x + 12, where x is the number.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value. For example, in the expression 2x + 3, x is the variable.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal, using an equality sign.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the operations.

Front

What does 'the sum of a number and 7' mean?

Back

It means to add 7 to a number (n), represented as n + 7.