Solving Equations and Rounding

The video tutorial explains how to solve two algebraic equations by combining like terms, isolating variables, and performing division. It demonstrates rounding results to two decimal places. The first equation involves combining terms on the same side, while the second equation requires moving terms across the equation. The tutorial provides step-by-step guidance on division and rounding techniques.

What is the first step in solving the equation 6x + 6.3x = 7.5?

• Divide both sides by 6

• Subtract 6.3x from both sides

• Combine like terms

• Multiply both sides by 7.5

After combining like terms in the equation 6x + 6.3x = 7.5, what is the simplified form?

• 12.3 = 7.5x

• x = 7.5

• 6x = 1.2

• 12.3x = 7.5

How do you isolate the variable x in the equation 12.3x = 7.5?

• Add 12.3 to both sides

• Multiply both sides by 12.3

• Divide both sides by 12.3

• Subtract 7.5 from both sides

What is the approximate value of x after solving and rounding the equation 12.3x = 7.5?

• 0.75

• 1.23

• 0.61

• 0.50

In the division process for rounding, what is the first step to handle the divisor?

• Multiply the divisor by 10

• Subtract the divisor from the dividend

• Move the decimal point to the right

• Add a zero to the dividend

What is the second equation introduced in the video?

• 3.3x = 2.1x + 7.7

• 3.3x - 2.1x = 7.7

• 3.3x = 2.1x - 7.7

• 3.3x + 2.1x = 7.7

How do you isolate the variable terms in the equation 3.3x = 2.1x - 7.7?

• Add 2.1x to both sides

• Subtract 2.1x from both sides

• Divide both sides by 2.1

• Multiply both sides by 3.3

What is the simplified form of the equation after isolating the variable terms: 3.3x - 2.1x?

• 1.2x = 7.7

• 5.4x = -7.7

• 5.4x = 7.7

• 1.2x = -7.7

What is the approximate value of x after solving and rounding the equation 1.2x = -7.7?

• -6.72

• -7.42

• -6.42

• -7.12

What is the final step in solving the equation 1.2x = -7.7?

• Add 7.7 to both sides

• Multiply both sides by 1.2

• Divide both sides by 1.2

• Subtract 1.2 from both sides