Solve 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, often involving operations such as addition, subtraction, multiplication, and division.

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 4(5 - x), you would multiply 4 by both 5 and -x.

Front

What is the first step to solve the equation 4(5 - x) = 8?

Back

The first step is to distribute the 4 to both terms inside the parentheses, resulting in 20 - 4x = 8.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable by itself on one side of the equation.

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.

Front

What is the solution to the equation (2x - 3) / 4 = 9?

Back

The solution is x = 19.5.

Front

How do you solve the equation 7(1 - y) = -3(y - 2)?

Back

First, distribute on both sides, then combine like terms and isolate y to find y = 1/4.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is the result of simplifying the equation 8v - 4(v + 8) = 8?

Back

The result is v = 10.

Front

How do you solve the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms to simplify the equation, then isolate x to find x = 3.