Writing two step equations from 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. It typically involves isolating the variable on one side of the equation.

Front

How do you represent a word problem as an equation?

Back

Identify the quantities involved, assign variables to unknowns, and translate the relationships and operations described in the problem into mathematical expressions.

Front

In the equation 5x + 6 = 61, what does 'x' represent?

Back

In this equation, 'x' represents the price of each CD that Drew bought.

Front

What is the first step to solve the equation 5x + 6 = 61?

Back

The first step is to subtract 6 from both sides of the equation to isolate the term with 'x': 5x = 55.

Front

What is the solution to the equation 5x + 6 = 61?

Back

The solution is x = 11, which means each CD costs $11.

Front

How do you write an equation for a scenario involving a fixed cost and a variable cost?

Back

Use the form: variable cost (price per item times number of items) + fixed cost = total cost.

Front

In the equation 0.50x + 20 = 35, what does 'x' represent?

Back

In this equation, 'x' represents the number of ride tickets Penelope buys.

Front

What is the total cost if Penelope buys 30 ride tickets?

Back

If Penelope buys 30 ride tickets, the total cost is 0.50(30) + 20 = $35.

Front

What does 's' represent in the equation 12s + 85 = 613?

Back

In this equation, 's' represents the number of students who went on the trip.

Front

How do you isolate 's' in the equation 12s + 85 = 613?

Back

Subtract 85 from both sides to get 12s = 528, then divide by 12 to find s = 44.