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 isolate the variable and solve for its value.

Front

How do you distribute in an equation?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, in 3(2x + 4), you would multiply 3 by 2x and 3 by 4.

Front

What is the first step in solving the equation 3(2x + 4) = 0?

Back

The first step is to distribute the 3 to both terms inside the parentheses, resulting in 6x + 12 = 0.

Front

How do you isolate the variable in the equation 6(2x + 5) = -6?

Back

First, distribute the 6 to get 12x + 30 = -6, then subtract 30 from both sides to get 12x = -36, and finally divide by 12 to find x.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in 2x + 4x, you combine to get 6x.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.

Front

What is the importance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation are equivalent, and it is crucial for maintaining balance when solving.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

The solution is x = 1.

Front

What is the process for solving the equation 3(x - 2) = 18?

Back

First, distribute the 3 to get 3x - 6 = 18, then add 6 to both sides to get 3x = 24, and finally divide by 3 to find x.