10.31 - Solving Multiple Step Equations 2

Front

What is a multiple-step equation?

Back

A multiple-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 isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 2 = 7x - 5x?

Back

The first step is to combine like terms on the right side, resulting in 2 = 2x.

Front

What is the solution to the equation 45 = 6 + 3v?

Back

The solution is v = 13, found by isolating v through subtraction and division.

Front

How do you solve the equation -13 - 2r = 3 - 4r?

Back

Add 4r to both sides to combine like terms, resulting in 2r = -16, then divide by 2 to find r = -8.

Front

What does it mean to distribute in an equation?

Back

Distributing means multiplying a term outside of parentheses by each term inside the parentheses.

Front

How do you solve the equation -3(1 + 6n) = -147?

Back

First, distribute -3 to get -3 - 18n = -147, then isolate n by adding 3 and dividing by -18, resulting in n = 8.

Front

What is the solution to the equation -4(n - 7) = -12?

Back

The solution is n = 10, found by distributing -4, simplifying, and isolating n.

Front

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

Back

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

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.