Solving 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 the value of x.

Front

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

Back

To isolate a variable, you perform inverse operations. For example, in the equation 3x - 4 = 5, you would first add 4 to both sides, resulting in 3x = 9, and then divide by 3 to find x = 3.

Front

What is the first step in solving the equation 5x + 2 = 17?

Back

The first step is to subtract 2 from both sides of the equation, resulting in 5x = 15.

Front

What is the solution to the equation 4x - 1 = 11?

Back

The solution is x = 3. First, add 1 to both sides to get 4x = 12, then divide by 4.

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation are equal by performing the same operation on both sides.

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

Solve the equation: 2x + 6 = 14.

Back

x = 4. First, subtract 6 from both sides to get 2x = 8, then divide by 2.

Front

What is the purpose of using two-step equations?

Back

Two-step equations are used to find the value of a variable that makes the equation true, which is essential in solving real-world problems.

Front

How do you check your solution for the equation 3x + 5 = 20?

Back

To check the solution, substitute the value of x back into the original equation. If 3(5) + 5 = 20 is true, then x = 5 is correct.