Two Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to isolate the variable and solve for its value.

Front

How do you solve the equation x/2 - 5 = 3?

Back

To solve x/2 - 5 = 3, first add 5 to both sides to get x/2 = 8, then multiply both sides by 2 to find x = 16.

Front

What is the first step in solving the equation 3m + 9 = 0?

Back

The first step is to subtract 9 from both sides to isolate the term with the variable, resulting in 3m = -9.

Front

What is the solution to the equation 3c + 5 = 23?

Back

To solve 3c + 5 = 23, subtract 5 from both sides to get 3c = 18, then divide by 3 to find c = 6.

Front

What is the goal of solving two-step equations?

Back

The goal is to find the value of the variable that makes the equation true.

Front

How do you solve the equation -4x + 1 = 21?

Back

First, subtract 1 from both sides to get -4x = 20, then divide by -4 to find x = -5.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

Why is it important to perform the same operation on both sides of an equation?

Back

It is important to maintain the equality of the equation; whatever you do to one side must be done to the other to keep the equation balanced.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself, allowing you to solve for its value.