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

What is the first step in solving the equation 5b - 6 = 24?

Back

The first step is to add 6 to both sides of the equation.

Front

How do you isolate the variable in the equation 5b - 6 = 24?

Back

After adding 6 to both sides, divide both sides by 5 to isolate b.

Front

In the taxi fare problem, what does the equation represent?

Back

The equation represents the total cost of the taxi ride based on a fixed charge and a variable charge per mile.

Front

How do you set up an equation for a word problem involving a fixed charge and a variable charge?

Back

Identify the fixed charge and the variable charge per unit, then express the total cost as the sum of these two components.

Front

What is the solution to the equation 3c + 5 = 23?

Back

The solution is c = 6.

Front

What does the variable 'x' represent in the equation 7x + 35 = 63?

Back

The variable 'x' represents the number of hours worked on the car.

Front

How do you solve the equation 7x + 35 = 63 for x?

Back

Subtract 35 from both sides, then divide by 7 to find x.

Front

What is the total cost if a taxi charges $3 plus $1.50 per mile for a 18-mile ride?

Back

The total cost is $3 + (1.50 * 18) = $30.

Front

What is the importance of understanding two-step equations in real-life applications?

Back

Understanding two-step equations helps in solving real-life problems involving costs, distances, and other quantities that can be modeled mathematically.