Solving Linear Equations and Operations

This video tutorial covers solving linear equations using addition, subtraction, multiplication, and division. It includes examples and real-life applications, such as calculating Usain Bolt's speed and temperature changes. The tutorial emphasizes understanding inverse operations and maintaining equation balance.

What operations are used to solve linear equations in this lesson?

• Multiplication and division

• All of the above

• Addition and subtraction

• None of the above

What is a linear equation in one variable?

• An equation with two variables

• An equation that can be written as ax + b = 0

• An equation with no variables

• An equation that cannot be solved

What are inverse operations?

• Operations that add up

• Operations that undo each other

• Operations that multiply each other

• Operations that divide each other

What happens when you add the same value to both sides of an equation?

• The equation becomes unsolvable

• The equation changes its solution

• The equation remains equivalent

• The equation becomes false

In the example x - 3 = -5, what operation is used to isolate x?

• Add 3

• Subtract 3

• Multiply by 3

• Divide by 3

In the example 0.9 = y + 2.8, what operation is used to solve for y?

• Add 2.8

• Subtract 2.8

• Divide by 2.8

• Multiply by 2.8

What is true about multiplication and division properties of equality?

• They change the solutions

• They are not applicable to equations

• They produce equivalent equations

• They only apply to addition

In the example -n/5 = -3, what operation is used to solve for n?

• Add 5

• Subtract 5

• Multiply by -5

• Divide by -5

In the example πx = -2π, what operation is used to solve for x?

• Subtract π

• Add π

• Divide by π

• Multiply by π

What formula is used to find Usain Bolt's average speed?

• Speed = Distance / Time

• Speed = Time x Distance

• Time = Distance / Speed

• Distance = Speed x Time