FA2-4 AC: Modeling 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 an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step to solve the equation \( \frac{x}{6} - 3 = 2 \)?

Back

Add 3 to both sides to eliminate the constant term.

Front

What is the solution to the equation \( \frac{x}{6} - 3 = 2 \)?

Back

The solution is x = 30.

Front

What operation would you perform first in the equation \( 4x + 5 = 21 \)?

Back

Subtract 5 from both sides.

Front

What is the solution to the equation \( 4x + 5 = 21 \)?

Back

The solution is x = 4.

Front

In the equation \( 7x - 14 = 0 \), what operation is needed to isolate x?

Back

You need to add 14 to both sides and then divide by 7.

Front

What is the solution to the equation \( 7x - 14 = 0 \)?

Back

The solution is x = 2.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is \( ax + b = c \), where a, b, and c are constants.

Front

How do you convert a word problem into a two-step equation?

Back

Identify the variables, constants, and relationships described in the problem, then translate them into an equation.