Solving Linear Equations and Decimals

The video tutorial explains how to solve linear equations by isolating the variable on one side of the equation. It provides two examples: solving X - 3.5 = 8.7 and X + 4.9 = 1.76. The tutorial emphasizes the importance of performing the same operation on both sides of the equation and aligning decimal points when dealing with decimals. It concludes with verifying the solutions using a calculator.

What is the primary goal when solving a linear equation?

• To find the value of the variable

• To make both sides of the equation equal

• To convert the equation into a quadratic form

• To eliminate all numbers

In the equation X - 3.5 = 8.7, what operation should be performed to isolate X?

• Multiply both sides by 3.5

• Divide both sides by 3.5

• Add 3.5 to both sides

• Subtract 3.5 from both sides

When adding decimals, what is important to ensure accuracy?

• Use a calculator

• Add zeros to the end of numbers

• Align the decimal points

• Align the numbers to the left

What is the solution to the equation X - 3.5 = 8.7?

• X = 5.2

• X = 11.5

• X = 15.7

• X = 12.2

How can you verify the solution of a linear equation?

• By checking the solution with a calculator

• By solving the equation again

• By asking a friend

• By guessing

In the equation X + 4.9 = 1.76, what operation should be performed to isolate X?

• Divide both sides by 4.9

• Subtract 4.9 from both sides

• Multiply both sides by 4.9

• Add 4.9 to both sides

What is the result of subtracting 4.9 from 1.76?

• -3.14

• 3.14

• -2.14

• 2.14

What is the importance of aligning decimal points when subtracting decimals?

• It makes the numbers look neat

• It ensures the correct subtraction of place values

• It is not important

• It helps in multiplying the numbers

What is the solution to the equation X + 4.9 = 1.76?

• X = -3.14

• X = -6.66

• X = 6.66

• X = 3.14

How can you express subtracting a positive number in another way?

• As adding a negative number

• As subtracting a negative number

• As multiplying by zero

• As adding a positive number