Two Step Equation Word Problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first eliminate the constant term, then the coefficient.

Front

What is the first step to solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10.

Front

What is the solution to the equation 3x - 4 = 11?

Back

Add 4 to both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

In the equation 10 + 4x = 38, what does 'x' represent?

Back

'x' represents the number of hours Rashida can rent the bike.

Front

How do you set up a two-step equation from a word problem?

Back

Identify the quantities involved, assign variables, and translate the relationships into an equation.

Front

What does the term 'constant' mean in an equation?

Back

A constant is a fixed value that does not change, such as the number 10 in the equation 10 + 4x.

Front

What is the total cost equation for Kasey's pitching lesson?

Back

The equation is 11x + 6 = 39, where x is the number of hours.

Front

How do you check if your solution to a two-step equation is correct?

Back

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

Front

What is the meaning of 'coefficient' in an equation?

Back

A coefficient is a numerical factor that multiplies a variable, such as 4 in 4x.