Translating Expressions and Equations

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value but does not include an equals sign.

Front

What is an equation in mathematics?

Back

An equation is a mathematical statement that asserts the equality of two expressions, containing an equals sign.

Front

How do you translate the phrase 'three less than twice a number' into an algebraic expression?

Back

2x - 3, where x represents the number.

Front

What is the variable in the expression '-12 + 6m'?

Back

The variable is 'm'.

Front

What is the difference between an expression and an equation?

Back

Expressions do not have an equals sign, while equations do.

Front

What are some key words that indicate multiplication?

Back

Key words for multiplication include 'times', 'product', 'of', and 'twice'. 'Total' is NOT a key word for multiplication.

Front

How do you translate the phrase 'the difference of x and 8, divided by 5' into an algebraic expression?

Back

(x - 8) / 5.

Front

What does the term 'twice a number' mean in algebra?

Back

It means to multiply the number by 2.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What is the purpose of translating verbal expressions into algebraic expressions?

Back

Translating verbal expressions into algebraic expressions allows us to solve problems mathematically.