solving 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 solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 12 = n - 9?

Back

Add 9 to both sides to isolate n.

Front

What is the solution to the equation 5x = 25?

Back

x = 5.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable allows us to find its value by getting it alone on one side of the equation.

Front

What operation would you perform first in the equation 3x - 2 = -5?

Back

Add 2 to both sides.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the flat fee in Mark's phone bill problem?

Back

The flat fee is $12.

Front

If Mark's total bill was $18, how much did he spend on minutes?

Back

He spent $18 - $12 = $6 on minutes.

Front

How do you find the number of minutes Mark talked on the phone?

Back

Divide the amount spent on minutes by the cost per minute: $6 ÷ $0.05 = 120 minutes.