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.

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

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What does the variable 'x' typically represent in equations?

Back

In equations, 'x' usually represents an unknown value that we are trying to solve for.

Front

What is the first step to solve the equation 71 - 3.5x = 40?

Back

The first step is to isolate the term with 'x' by adding 3.5x to both sides.

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What does the equation 12x + 14 = 50 represent?

Back

This equation represents the total cost of buying 'x' CDs at $12 each plus a $14 DVD, totaling $50.

Front

How can you express the weight loss of Fido in a two-step equation?

Back

The weight loss can be expressed as 35 - 6x = 28, where 'x' is the weight lost each month.

Front

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

Back

The constant term represents a fixed value that does not change, affecting the overall outcome of the equation.

Front

How do you set up an equation for total cost involving hourly rates?

Back

To set up the equation, multiply the hourly rate by the number of hours worked and add any fixed fees.

Front

What does the equation 4.2c - 0.55 = 3.23 represent?

Back

This equation represents the total cost of plums after applying a coupon, where 'c' is the cost per pound.

Front

What is the purpose of using variables in equations?

Back

Variables are used to represent unknown quantities, allowing us to formulate and solve equations.