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 a two-step equation?

Back

To isolate a variable, perform inverse operations in the reverse order of operations used in the equation.

Front

What is the first step in solving the equation 2x - 3 = 5?

Back

Add 3 to both sides of the equation.

Front

What is the solution to the equation 5x - 8 = 32?

Back

x = 8.

Front

What operation is performed to both sides of the equation to solve for x in 5x = 40?

Back

Divide both sides by 5.

Front

What is the equation for the model represented by 4x - 5 = 15?

Back

4x - 5 = 15.

Front

How do you solve for y in the equation 14 = 3y - 4?

Back

Add 4 to both sides, then divide by 3.

Front

What is the first step to solve the equation 3y - 4 = 14?

Back

Add 4 to both sides.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.

Front

What is the purpose of modeling equations in real-world scenarios?

Back

Modeling equations helps to represent and solve real-world problems mathematically.