Translating Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to translate a verbal statement into an equation?

Back

Translating a verbal statement into an equation involves converting words describing a mathematical relationship into a mathematical expression using symbols.

Front

What is the coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution of an equation?

Back

The solution of an equation is the value of the variable that makes the equation true.

Front

What does 'twice a number' mean in mathematical terms?

Back

'Twice a number' means to multiply the number by 2.

Front

How do you express 'four times a number' mathematically?

Back

'Four times a number' is expressed as 4n, where n is the number.

Front

What does 'the sum of a number and 8' represent?

Back

It represents the expression n + 8, where n is the number.

Front

What is the process to solve the equation ⅓g - 6 = 4?

Back

To solve ⅓g - 6 = 4, add 6 to both sides to get ⅓g = 10, then multiply both sides by 3 to find g = 30.