Writing Two-Step Equations

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 the variable represent in an equation?

Back

The variable represents an unknown value that we are trying to solve for.

Front

What is the first step in solving the equation 11x + 6 = 39?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

What is the equation to find the total cost of a phone call that includes a base fee and a per-minute charge?

Back

c = base fee + (per-minute charge * number of minutes)

Front

If the total cost is $35 and the entry fee is $20, how do you express the cost of ride tickets?

Back

Let x be the number of ride tickets, then the equation is 0.50x + 20 = 35.

Front

What does the equation 71 - 3.5x = 40 represent?

Back

It represents the cooling process where the initial temperature decreases by 3.5 degrees each hour until it reaches 40°F.

Front

How do you set up an equation for weight loss over time?

Back

Use the equation: initial weight - (weight lost per month * number of months) = final weight.

Front

What is the purpose of using equations in real-life scenarios?

Back

Equations help to model and solve problems involving relationships between quantities.

Front

What is the significance of the constant term in an equation?

Back

The constant term represents a fixed value that does not change, such as a base fee or initial amount.