Solving Linear Equations and Verification

The video tutorial covers solving one-step equations, focusing on operations with signed numbers. It includes examples of solving equations using addition, subtraction, multiplication, and division, with a focus on handling negative numbers. Each example is followed by a solution check to ensure understanding.

What is the main focus of this lesson?

• Solving two-step equations

• Working with signed numbers

• Graphing linear equations

• Factoring polynomials

What is the first step to solve x + 5 = 3?

• Add 5 to both sides

• Divide both sides by 5

• Subtract 5 from both sides

• Multiply both sides by 5

What is the value of x in the equation x + 5 = 3?

• x = 2

• x = -8

• x = -2

• x = 8

How do you check if x = -2 is the correct solution for x + 5 = 3?

• Substitute x = -2 into x + 5 and see if it equals 3

• Substitute x = -2 into x - 5 and see if it equals 3

• Substitute x = -2 into 5x and see if it equals 3

• Substitute x = -2 into x / 5 and see if it equals 3

What operation is performed to isolate x in the equation 4 + x = -6?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the value of x in the equation 4 + x = -6?

• x = 2

• x = 10

• x = -10

• x = -2

How do you verify the solution x = -10 for the equation 4 + x = -6?

• Check if 4 + (-10) equals -6

• Check if 4 - (-10) equals -6

• Check if 4 * (-10) equals -6

• Check if 4 / (-10) equals -6

What operation is used to solve x - 7 = -2?

• Multiply both sides by 7

• Subtract 7 from both sides

• Divide both sides by 7

• Add 7 to both sides

What is the value of x in the equation x - 7 = -2?

• x = 9

• x = -5

• x = 5

• x = -9

How do you confirm the solution x = 5 for the equation x - 7 = -2?

• Check if 5 - 7 equals -2

• Check if 5 + 7 equals -2

• Check if 5 * 7 equals -2

• Check if 5 / 7 equals -2