4.3 Writing 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 'm' represent in the equation 50 + 20m = 290?

Back

In this equation, 'm' represents the number of months Jim has paid for his gym membership.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation 5 + 4n = 25?

Back

Subtract 5 from both sides to isolate the term with 'n': 4n = 20.

Front

What does 'x' represent in the equation 40 + 3x = 85?

Back

In this equation, 'x' represents the amount of money Rashan will save each week.

Front

What is the total cost in the equation 50 + 20m = 290?

Back

The total cost is $290, which includes the initial fee of $50 and the monthly fees.

Front

How can you check if an equation is correct?

Back

You can check an equation by substituting the variable with a value and verifying if both sides of the equation are equal.

Front

What does the '3' represent in the equation 40 + 3x = 85?

Back

The '3' represents the number of weeks Rashan plans to save money.

Front

What is the solution to the equation 5 + 4n = 25?

Back

The solution is n = 5, which means each eraser costs $5.

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.