Dividing Decimals and Solving Equations

The video tutorial explains how to solve linear equations by isolating the variable. It covers two examples: solving x/5.1 = 4.5 and 4.7x = 12.96. The tutorial demonstrates the steps to isolate x, perform arithmetic operations, and verify solutions. It emphasizes understanding the process of undoing operations to solve equations and checking the correctness of solutions.

What is the first step in solving the equation X/5.1 = 4.5?

• Multiply both sides by 5.1

• Divide both sides by 4.5

• Add 5.1 to both sides

• Subtract 5.1 from both sides

Why do we multiply both sides of the equation by 5.1?

• To simplify the equation

• To check the solution

• To isolate the variable X

• To add a common factor

What is the product of 5.1 and 4.5?

• 20.95

• 22.95

• 22.45

• 23.95

How do we verify the solution for X in the first equation?

• By subtracting X from both sides

• By adding X to both sides

• By dividing X by 5.1

• By substituting X back into the equation

What operation is used to solve the equation 4.7X = 12.96?

• Division

• Addition

• Subtraction

• Multiplication

What is the quotient when dividing 12.96 by 4.7?

• 2.9

• 2.7

• 2.6

• 2.8

How do we make the divisor a whole number in the second example?

• By moving the decimal point to the left

• By removing the decimal point

• By adding a decimal point

• By moving the decimal point to the right

What is the purpose of moving the decimal point in both the divisor and dividend?

• To isolate the variable

• To simplify the equation

• To make the division easier

• To check the solution

What is the final step in verifying the solution for the second equation?

• Dividing the product by the original equation

• Checking if the product equals the right side of the equation

• Multiplying the product by the original equation

• Subtracting the product from the original equation

What does it mean if the left side of the equation equals the right side after substitution?

• The equation is unsolvable

• The solution is verified

• The equation needs to be simplified

• The solution is incorrect