Solving Equations and Postulates

The video tutorial covers the segment addition postulate, explaining how to set up and solve equations using this concept. It provides multiple examples, demonstrating the process of combining like terms and isolating variables to find solutions. The tutorial emphasizes the importance of understanding how the parts of a segment add up to the whole, and it offers practice problems to reinforce learning. The video concludes with a summary of key points and encourages testing solutions for accuracy.

What does the segment addition postulate state?

• The parts are unrelated to the whole.

• The product of the parts is equal to the whole.

• The difference between parts is equal to the whole.

• The sum of the parts is equal to the whole.

In the equation DE + EF = DF, if DE = 11 and EF = 2x - 1, what is DF?

• 2x + 10

• 3x + 6

• 2x + 11

• 3x + 5

How do you isolate the variable X in the equation 3x - 2x = 6?

• Add 2x to both sides

• Subtract 2x from both sides

• Add 6 to both sides

• Subtract 6 from both sides

What is the first step in solving the equation FG = 2 + 2x + 26?

• Divide by 2

• Combine like terms

• Subtract 2 from both sides

• Add 26 to both sides

If FG = 2 + 2x + 26 and FH = x + 19, what is the value of x?

• x = -10

• x = 10

• x = -9

• x = 9

In the equation X - 6 + 1 + X = 9, what is the value of X?

• X = 8

• X = 5

• X = 7

• X = 6

What is the result of combining like terms in the equation 2x + 25 + x + 23?

• 2x + 50

• 3x + 50

• 2x + 48

• 3x + 48

How do you solve for x in the equation 2x - 22 + 11 = x + 1?

• Add x to both sides

• Subtract 11 from both sides

• Add 22 to both sides

• Subtract x from both sides

What is the value of x in the equation 2x - 22 + 11 = x + 1?

• x = 12

• x = 11

• x = 9

• x = 10

What is the purpose of the segment addition postulate?

• To divide segments into equal parts

• To multiply segments together

• To find the difference between segments

• To set up equations where the sum of parts equals the whole