Solving Linear Equations and Concepts

The video tutorial teaches students how to solve multi-step equations using distribution, especially when dealing with negative numbers. It covers the rules for adding, subtracting, and multiplying negatives, and emphasizes the importance of combining like terms. The tutorial includes several example problems to illustrate these concepts and provides practice problems for students to work on independently.

What is the main focus of today's lesson?

• Solving quadratic equations

• Solving multi-step equations with distribution involving negatives

• Solving equations with fractions

• Graphing linear equations

What should you remember when adding or subtracting negative numbers?

• Ignore the negative signs

• Always add the numbers

• Use the mnemonic: same signs add and keep, different signs subtract

• Multiply the numbers

What happens when you multiply two negative numbers?

• The result is negative

• The result is undefined

• The result is zero

• The result is positive

In the equation -6x + 2(5x - 4) = -28, what is the first step?

• Divide by 2

• Add 6x to both sides

• Subtract 2 from both sides

• Distribute the 2 across the parentheses

After distributing in the equation -6x + 2(5x - 4) = -28, what is the next step?

• Multiply by 4

• Add 8 to both sides

• Combine like terms

• Divide by 10

What is the invisible number in the equation -5x - 7(-x + 4) = -12?

• -1

• 1

• 2

• 0

In the equation -5x - 7(-x + 4) = -12, what is the result of distributing -7?

• Positive 7x and positive 28

• Negative 7x and negative 28

• Negative 7x and positive 28

• Positive 7x and negative 28

What is the result of combining like terms in the equation 7x - 5x?

• 2x

• 12x

• -2x

• 0

In the equation 2x + 6 = -10, what is the first step to isolate x?

• Divide by 2

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply by 2

What should you do if you have two negative numbers being added?

• Multiply them

• Ignore the negative signs

• Add them and keep the negative sign

• Subtract them