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, perform the inverse operations in the reverse order of operations: first, eliminate the constant term, then divide or multiply to solve for the variable.

Front

What does it mean to translate a word problem into an equation?

Back

Translating a word problem into an equation involves identifying the quantities involved, the relationships between them, and expressing these relationships mathematically.

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

What is the first step to solve the equation 4m + 7 = 60?

Back

The first step to solve the equation 4m + 7 = 60 is to subtract 7 from both sides of the equation.

Front

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

Back

To check if your solution is correct, substitute the value of the variable back into the original equation and verify that both sides are equal.

Front

What is the significance of the initial fee in the bike rental problem?

Back

The initial fee in the bike rental problem represents a fixed cost that must be paid before calculating the variable cost based on the hourly rate.

Front

How can you represent the total amount of money raised by the glee club members?

Back

The total amount of money raised by the glee club members can be represented by the equation 60x, where 'x' is the amount each member raises.

Front

What does the term 'difference' imply in the context of equations?

Back

In the context of equations, 'difference' refers to the result of subtracting one quantity from another.

Front

What is the purpose of using parentheses in the equation 11(p - 2) = 12?

Back

Parentheses in the equation 11(p - 2) = 12 indicate that the expression inside the parentheses should be evaluated first, following the order of operations.