Translating Expressions & Equations

Front

What is the definition of an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols (like +, -, *, /) but does not have an equality sign.

Front

Translate: The sum of a number and seven.

Back

x + 7

Front

What does it mean to 'translate' a word problem into an equation?

Back

To translate a word problem into an equation means to convert the words describing a situation into a mathematical expression or equation that represents that situation.

Front

Translate: Five times a number decreased by two is equal to ten.

Back

5x - 2 = 10

Front

What is the difference between an equation and an expression?

Back

An equation contains an equality sign (=) and shows that two expressions are equal, while an expression does not have an equality sign.

Front

Translate: The product of a number and three increased by four.

Back

3x + 4

Front

What does 'decreased by' indicate in an expression?

Back

'Decreased by' indicates subtraction in an expression.

Front

Translate: Eight less than a number is two.

Back

x - 8 = 2

Front

What is the standard form of an equation?

Back

The standard form of an equation is typically written as Ax + By = C, where A, B, and C are integers.

Front

Translate: The quotient of a number and four is equal to five.

Back

x / 4 = 5