Solving 2-step equations

Front

What is a 2-step equation?

Back

A 2-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation x + 3 = 7, you would first subtract 3 from both sides, then solve for x.

Front

How do you isolate a variable in a 2-step equation?

Back

To isolate a variable, perform inverse operations. For example, in the equation 2x + 4 = 12, first subtract 4 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What is the first step in solving the equation 3x - 5 = 10?

Back

The first step is to add 5 to both sides of the equation, resulting in 3x = 15.

Front

What is the solution to the equation 2x + 6 = 18?

Back

The solution is x = 6. First, subtract 6 from both sides to get 2x = 12, then divide by 2.

Front

If you have the equation x/4 = 2, how do you solve for x?

Back

Multiply both sides by 4 to isolate x, resulting in x = 8.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

Solve the equation 5x - 10 = 0. What is x?

Back

x = 2. First, add 10 to both sides to get 5x = 10, then divide by 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

How do you solve the equation x + 7 = 12?

Back

Subtract 7 from both sides to find x = 5.