Solving Single-Step Equations

The video tutorial focuses on solving single-step algebraic equations using addition and subtraction. It begins with an introduction to the topic, followed by a detailed walkthrough of solving an example equation, a + 9 = 1. The instructor explains the process of isolating the variable and handling negative numbers. The tutorial concludes with a verification of the solution and a transition to the next practice problem.

What is the primary focus of this Algebra 1 lesson?

• Solving multi-step equations

• Graphing linear equations

• Solving single step equations using addition and subtraction

• Factoring quadratic equations

If you have the equation a + 9 = 1, what is the first step to solve for a?

• Multiply both sides by 9

• Subtract 9 from both sides

• Divide both sides by 9

• Add 9 to both sides

Why do we perform the opposite operation when solving equations?

• To make the equation more complex

• To change the equation's solution

• To eliminate the variable

• To isolate the variable

What must be done to both sides of the equation to maintain equality?

• Perform the same operation

• Multiply by the same number

• Subtract the same number

• Add the same number

When subtracting numbers with different signs, what determines the sign of the result?

• The sign of the smaller number

• The sign of the first number

• The sign of the larger number

• The sign of the last number

What is the result of 1 - 9?

• 8

• -8

• 10

• -10

How can you verify that your solution to an equation is correct?

• By substituting the solution back into the original equation

• By checking the solution with a calculator

• By asking a friend

• By solving a different equation

What should you do if you don't remember how to add or subtract negative and positive numbers?

• Use a calculator

• Ask someone else to solve it

• Review the concept

• Ignore the problem

What is the solution to the equation a + 9 = 1?

• a = 10

• a = -8

• a = -10

• a = 8

What is the purpose of subtracting the same number from both sides of an equation?

• To make the equation longer

• To change the variable

• To eliminate the variable

• To isolate the variable