5.4B - Solving 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 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 11 + 2 x 8 = c + 13?

Back

The first step is to perform the multiplication: 2 x 8 = 16, so the equation becomes 11 + 16 = c + 13.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to make the expression easier to understand or solve.

Front

In the equation 41 = (5 x b) + 6, what does 'b' represent?

Back

In this equation, 'b' represents the price of one book.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

What is the order of operations used in solving equations?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

How do you solve for 'g' in the equation 2 + 8 + 4 = 9 + g?

Back

First, simplify the left side: 2 + 8 + 4 = 14. Then, subtract 9 from both sides: 14 - 9 = g, so g = 5.

Front

What is the result of (24 - 16) ÷ 8?

Back

The result is 1, since (24 - 16) equals 8, and 8 ÷ 8 equals 1.