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. It typically involves isolating the variable on one side of the equation.

Front

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

Back

To isolate a variable in a two-step equation, you perform the inverse operations in reverse order: first, eliminate any constant added or subtracted from the variable, then divide or multiply to solve for the variable.

Front

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

Back

The first step in solving a two-step equation is to eliminate any constant term from the side of the equation containing the variable.

Front

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

Back

The second step in solving a two-step equation is to divide or multiply to isolate the variable.

Front

In the equation 5x + 200 = 450, what does 'x' represent?

Back

In the equation 5x + 200 = 450, 'x' represents the number of reams of paper Guillermo purchased.

Front

How do you set up an equation from a word problem?

Back

To set up an equation from a word problem, identify the variables, constants, and relationships described in the problem, then translate these into a mathematical expression.

Front

What does the term 'constant' refer to in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 200 or 50 in the equations provided.

Front

What is the significance of the base salary in a word problem?

Back

The base salary is a fixed amount of money earned before any additional earnings, such as commissions or bonuses, are added.

Front

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

Back

You can check if your solution is correct by substituting the value of the variable back into the original equation to see if both sides are equal.

Front

What is the relationship between the number of rounds played and total points earned in Shilpa's problem?

Back

The relationship is linear; for each round played, Shilpa earns a fixed number of points, which can be represented as a multiple of the number of rounds.