Two-Step Equations (Integers, Decimals, Fractions)

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 the inverse operations in the reverse order. For example, in the equation 3x - 5 = 10, first add 5 to both sides, then divide by 3.

Front

What is the first step in solving the equation 4x = 20?

Back

The first step is to divide both sides of the equation by 4 to isolate x.

Front

What does it mean to perform operations in the reverse order?

Back

It means to apply the opposite operation of what is currently being done to the variable. For example, if the equation has addition, you would subtract to undo it.

Front

What is the solution to the equation x + 7 = 12?

Back

The solution is x = 5, found by subtracting 7 from both sides.

Front

How do you check your solution for the equation 2x - 4 = 10?

Back

To check, substitute the solution back into the original equation. If 2(7) - 4 = 10 holds true, then x = 7 is correct.

Front

What is the importance of showing your work in solving equations?

Back

Showing your work helps to track your thought process, identify mistakes, and understand the steps taken to arrive at the solution.

Front

What is an example of a two-step equation involving decimals?

Back

An example is 0.5x + 1.2 = 3. To solve, subtract 1.2 from both sides and then divide by 0.5.

Front

What is an example of a two-step equation involving fractions?

Back

An example is (1/2)x - 3 = 1. To solve, add 3 to both sides and then multiply by 2.

Front

What does it mean for the order of operations to matter in equations?

Back

It means that the sequence in which you perform operations affects the outcome. For example, x + 2 = 5 is not the same as 2 + x = 5, but both yield the same solution.