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 the reverse order of how they are applied.

Front

What does it mean to solve a word problem involving a two-step equation?

Back

It means translating the problem into a mathematical equation and then solving for the unknown variable.

Front

What is the first step in solving a two-step equation?

Back

The first step is to eliminate any constant term from the side of the equation with the variable.

Front

What is the second step in solving a two-step equation?

Back

The second step is to divide or multiply to isolate the variable.

Front

Example of a two-step equation: 3x + 4 = 10. What is x?

Back

x = 2.

Front

In the equation 100 + 20x = 400, what does 'x' represent?

Back

'x' represents the number of rounds Shilpa played.

Front

What is the total amount raised by each member in the glee club if 60 members need to raise $4,000?

Back

Each member needs to raise $66.67.

Front

How do you set up an equation for a problem involving total cost?

Back

Identify the fixed costs and variable costs, then create an equation that sums them to equal the total cost.

Front

What is the significance of the base salary in Ed's income equation?

Back

The base salary is the fixed amount Ed earns before any commissions are added.