Solving One-Step Equations

The video tutorial covers solving one-step equations using inverse operations such as addition, subtraction, multiplication, and division. It includes examples with rational numbers, fractions, and decimals. The instructor demonstrates how to solve equations, check solutions, and handle negative numbers. Key examples include solving -3x = 99, 12 = x / 7, -13P = 12, and 12 + x = 3 1/2. The tutorial emphasizes the importance of maintaining balance in equations and verifying solutions.

What is the first step in solving one-step equations involving multiplication or division?

• Multiply both sides by zero

• Perform the opposite operation to isolate the variable

• Subtract the same number from both sides

• Add the same number to both sides

When solving an equation, what should you do if you see addition?

• Add the same number to both sides

• Subtract the same number from both sides

• Divide both sides by the same number

• Multiply both sides by the same number

In the equation -3x = 99, what operation should be performed to solve for x?

• Divide both sides by -3

• Multiply both sides by -3

• Add 3 to both sides

• Subtract 3 from both sides

What is the solution to the equation -3x = 99?

• x = -99

• x = 99

• x = -33

• x = 33

In the equation 12 = x / 7, what operation should be performed to solve for x?

• Divide both sides by 7

• Multiply both sides by 7

• Subtract 7 from both sides

• Add 7 to both sides

What is the solution to the equation 12 = x / 7?

• x = 7

• x = 1.7

• x = 19

• x = 84

In the equation -13P = 12, what operation should be performed to solve for P?

• Multiply both sides by -13

• Add 13 to both sides

• Divide both sides by -13

• Multiply both sides by the reciprocal of -1/3

What is the solution to the equation -13P = 12?

• P = 12

• P = -12

• P = 36

• P = -36

In the equation 12 + x = 3 1/2, what operation should be performed to solve for x?

• Multiply both sides by 12

• Subtract 12 from both sides

• Add 12 to both sides

• Divide both sides by 12

What is the solution to the equation 12 + x = 3 1/2?

• x = -15 1/2

• x = 15 1/2

• x = 8 1/2

• x = -8 1/2