Two Step Equations 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 undo addition or subtraction, then undo multiplication or division.

Front

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

Back

The first step is to subtract 5 from both sides of the 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 5 in the equation 2x + 5 = 15.

Front

In the equation 3x - 4 = 11, what is the value of x?

Back

x = 5.

Front

What is the purpose of writing an equation for a word problem?

Back

Writing an equation helps to translate the problem into a mathematical form that can be solved.

Front

How do you represent 'per' in an equation?

Back

'Per' typically indicates multiplication, such as '5 dollars per hour' can be represented as 5h.

Front

What is the equation for a taxi fare that charges $3 plus $1.50 per mile?

Back

The equation is: Total Fare = 3 + 1.5m, where m is the number of miles.

Front

If a gym charges a membership fee plus a monthly fee, how do you write the equation?

Back

The equation is: Total Cost = Membership Fee + (Monthly Fee × Number of Months).

Front

What does 'solving for x' mean?

Back

Solving for x means finding the value of x that makes the equation true.