Solving One-Step to Multi-Step Equations

Mr. Boyd introduces algebra concepts, focusing on solving equations. The lesson covers key vocabulary, strategies for solving equations using inverse operations, and provides examples of one-step, two-step, and multi-step equations. The video emphasizes maintaining balance in equations and checking solutions. Students learn to simplify equations using the distributive property and combining like terms.

What is an equation in algebra?

• A mathematical sentence with an equal sign

• A mathematical expression without an equal sign

• A formula involving multiple variables

• A number that replaces a variable

What operation would you use to isolate 'x' in the equation 'x + 3 = 5'?

• Multiplication

• Division

• Subtraction

• Addition

If 'x - 15 = 997', what is the value of 'x'?

• 1012

• 112

• 1000

• 982

How do you solve the equation '5x = 25'?

• Divide both sides by 5

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

What is the solution to the equation 'x/3 = 3'?

• 9

• 0

• 6

• 1

In a two-step equation like '9x - 21 = 87', what is the first step to solve it?

• Divide by 9

• Subtract 21

• Multiply by 9

• Add 21

What is the final value of 'x' in the equation '2x + 4 = 26'?

• 15

• 22

• 13

• 11

How do you start solving a multi-step equation with terms like '8x - 2x = 48'?

• Subtract 48 from both sides

• Divide by x

• Apply the distributive property

• Combine like terms

What is the correct solution for '4x - 3 = 9' after simplifying?

• 6

• 3

• 12

• 1.5

In the equation '3(x + 5) = 20', what is the value of 'x' after simplifying?

• 1

• 3

• 5

• 0