Multi Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, distributing, and isolating the variable.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 2(x + 3) = 18?

Back

The first step is to distribute the 2 to both terms inside the parentheses: 2x + 6 = 18.

Front

How do you isolate the variable in the equation 3x + 4 = 19?

Back

Subtract 4 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term by each term inside parentheses. For example, in 3(x + 2), you would calculate 3*x + 3*2.

Front

Solve the equation: 4x - 7 = 9.

Back

x = 4.

Front

What is the solution to the equation 5(x - 2) = 15?

Back

x = 5.

Front

When solving equations, why is it important to perform the same operation on both sides?

Back

Performing the same operation on both sides maintains the equality of the equation.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4.

Front

How do you check your solution for the equation x + 5 = 10?

Back

Substitute 5 back into the equation: 5 + 5 = 10, which is true.