Solving Linear Equations and Operations

The video tutorial covers solving equations with rational numbers, including decimals and fractions. It explains the use of inverse operations to isolate variables and solve equations. The tutorial provides step-by-step examples and practice problems to reinforce learning. Key concepts include handling decimals, fractions, and the importance of maintaining balance in equations.

What is the first step in solving equations with rational numbers?

• Identify the operation involved

• Add a constant to both sides

• Write the equation in standard form

• Multiply both sides by zero

When solving Y - 17.5 = 11, what operation should be performed?

• Multiplication

• Division

• Addition

• Subtraction

How do you handle a decimal in the equation 11 + 17.5?

• Ignore the decimal

• Align the decimal points

• Convert to fractions

• Round to the nearest whole number

What is the result of solving Y - 17.5 = 11?

• Y = 17.5

• Y = 11.5

• Y = 6.5

• Y = 28.5

In the equation -4.2P = 12.6, what is the inverse operation of multiplication?

• Addition

• Multiplication

• Subtraction

• Division

What is the result of dividing 12.6 by -4.2?

• P = -4

• P = -3

• P = 3

• P = 4

How do you convert a division by a decimal into a division by a whole number?

• Move the decimal point to the left

• Ignore the decimal

• Move the decimal point to the right

• Add zeros to the decimal

What is the result of solving T/7.5 = 4?

• T = 34

• T = 30

• T = 28

• T = 32

What is the result of solving X/1.2 = 15?

• X = 18

• X = 15

• X = 12

• X = 20

What is the result of solving 8.2P = 32.8?

• P = -3

• P = 4

• P = -4

• P = 3