Solving Equations and Rounding

The video tutorial guides viewers through solving two algebraic equations, focusing on isolating variables, simplifying expressions, and rounding results to two decimal places. The first equation involves isolating terms and performing division to find the solution, while the second equation requires distribution and combination of like terms before solving. Both solutions are rounded to two decimal places, with detailed steps provided for each calculation.

What is the first step in solving the equation 2.8X + 3.9 = 9X - 7.2?

• Multiply both sides by 2

• Divide both sides by 3.9

• Add 9X to both sides

• Subtract 9X from both sides

After simplifying the equation, what is the coefficient of X on the left side?

• -6.2

• -9

• 6.2

• 9

In the first example, what is the constant term on the right side after simplification?

• -7.2

• 0

• -11.1

• -3.9

What is the result of dividing 11.1 by 6.2, rounded to two decimal places?

• 1.78

• 1.79

• 1.80

• 1.81

What is the purpose of moving the decimal point in the division process?

• To make the dividend a whole number

• To make the divisor a whole number

• To simplify the equation

• To eliminate the decimal

In the second example, what operation is performed first on the left side of the equation?

• Combining like terms

• Distributing the 6

• Adding 5X

• Subtracting 8.44

What is the result of combining like terms in the second example?

• 6X + 5X

• 11X - 41.16

• 8.44 + 41.16

• 49.6

What is the next step after distributing in the second example?

• Divide by 11

• Subtract 8.44 from both sides

• Combine like terms

• Add 41.16 to both sides

What is the final value of X in the second example, rounded to two decimal places?

• 4.53

• 4.52

• 4.51

• 4.50

What indicates that you should round up in the final step of solving the second equation?

• The digit to the left is odd

• The digit to the right is less than 5

• The digit to the left is even

• The digit to the right is 5 or more