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 solve the equation -2(x-3)+4 = 24?

Back

First, distribute -2 to (x-3) to get -2x + 6. Then, combine like terms: -2x + 6 + 4 = 24, which simplifies to -2x + 10 = 24. Subtract 10 from both sides to get -2x = 14, and finally divide by -2 to find x = -7.

Front

What is the solution to the equation 6x + 3(-x + 11) = 3?

Back

First, distribute 3 to (-x + 11) to get 6x - 3x + 33 = 3. Combine like terms: 3x + 33 = 3. Subtract 33 from both sides to get 3x = -30, and divide by 3 to find x = -10.

Front

What does the term 'variable' mean in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown number in an equation or expression.

Front

How do you solve the equation 4 - 2(x - 3) = 24?

Back

First, distribute -2 to (x - 3) to get 4 - 2x + 6 = 24. Combine like terms: 10 - 2x = 24. Subtract 10 from both sides to get -2x = 14, and divide by -2 to find x = -7.

Front

What is the solution to the equation -20 = -4x - 6x?

Back

Combine like terms on the right side: -20 = -10x. Divide both sides by -10 to find x = 2.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, which may include distributing, combining like terms, or moving terms from one side to the other.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means manipulating the equation so that the variable is on one side by itself, allowing you to determine its value.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

What is the process of checking your solution in 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.