Solving Linear Equations and Principles

This video tutorial introduces solving one-step equations, explaining how to determine if a value is a solution and how to solve equations using addition and multiplication principles. It provides examples to illustrate these concepts, including handling fractions and negative numbers. The goal is to isolate the variable using these principles, ensuring students understand the process and can apply it to various equations.

What is the solution to the equation 5x - 4 = 11 when x = 3?

• x = 5

• x = 4

• x = 3

• x = 2

According to the Addition Principle, if a = b, then which of the following is true?

• a + c = b + c

• a + c = b - c

• a - c = b - c

• a - c = b + c

In the equation x - 8 = -12, what should be added to both sides to isolate x?

• Subtract 12

• Add 12

• Add 8

• Subtract 8

If y + 23 = -6, what operation will isolate y?

• Divide by 23

• Multiply by 23

• Subtract 23

• Add 23

What is the result of solving the equation 5x = 75?

• x = 25

• x = 15

• x = 10

• x = 20

To solve -15 = -t, what should you divide both sides by?

• -15

• 15

• -1

• 1

If z - 3 = 15, what should be added to both sides to solve for z?

• Subtract 15

• Add 3

• Add 15

• Subtract 3

In the equation m / -4 = 11, what operation will isolate m?

• Multiply by -4

• Divide by -4

• Divide by 4

• Multiply by 4

What is the reciprocal of 2/3, which is used to solve 2/3y = 16?

• 3/2

• 2/3

• 1/2

• 3

What is the solution to the equation 2/3y = 16?

• y = 24

• y = 18

• y = 12

• y = 8