1.1: Solving Multi Step Equations Warm Up

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, 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 4(a + 3) = -32?

Back

Distribute the 4 to both terms inside the parentheses: 4a + 12 = -32.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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 solution to the equation 5x + 7 = -13?

Back

x = -4.

Front

What is the equation for the problem: 'Julia ran 30 miles more than Larry, and Julia ran 47 miles in total'?

Back

n + 30 = 47, where n is the number of miles Larry ran.

Front

What is the equation for the problem: 'Ian spent $35 at the fair on ride tickets and admission'?

Back

5 + 2t = 35, where t is the number of ride tickets.

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 in mathematics?

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.