Solving Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

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

Back

The first step is to distribute the 2 to both terms inside the parentheses, resulting in 4 = 2x + 6.

Front

How do you isolate the variable in the equation 10(h + 1) - 4 = 76?

Back

First, add 4 to both sides to get 10(h + 1) = 80, then divide both sides by 10 to isolate (h + 1).

Front

What does it mean to 'distribute' in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses.

Front

What is the solution to the equation x + 2 = 8?

Back

x = 6.

Front

What is the first step in solving the equation 3(x - 4) = 9?

Back

The first step is to distribute the 3 to both terms inside the parentheses, resulting in 3x - 12 = 9.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

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

Back

x = 4.

Front

What is the first step in solving the equation 5x - 10 = 0?

Back

Add 10 to both sides to get 5x = 10.