12.10.24 Per 8 Review 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. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.

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 how they are applied. For example, in the equation 3x - 5 = 10, first add 5 to both sides, then divide by 3.

Front

Back

x = -9

Front

Back

Add 12 to both sides.

Front

Back

Divide both sides by 7.

Front

Back

True

Front

What does it mean to show your work in solving equations?

Back

Showing your work means writing down each step taken to solve the equation, which helps in understanding the process and allows for easier error checking.

Front

Back

w = -4

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing you to isolate the variable and solve the equation.

Front

Back

x = 7