Algebraic Expressions and Angle Measures

The video tutorial covers solving geometric and algebraic problems, including finding angle measures in a pentagon, solving equations using inverse operations, and applying algebra to real-world scenarios. It also explores evaluating inequalities and substitution techniques.

What is the sum of the interior angles of a pentagon?

• 360 degrees

• 900 degrees

• 540 degrees

• 720 degrees

If b = 90, what is the measure of the angle represented by 3/2b?

• 90 degrees

• 135 degrees

• 180 degrees

• 45 degrees

What is the result of dividing -2 by -4?

• -2

• -1/2

• 2

• 1/2

In the equation 21x - 12x = 44, what is the value of x?

• 2/9

• -2/9

• -9/2

• 9/2

If the cost of making n watches is given by c = 15n + 85, how many watches are made when the cost is $385?

• 20

• 15

• 25

• 30

What is the width of a rectangle if its area is 24 square inches and its length is b + 3, where b = 3?

• 6

• 4

• 3

• 2

If a = 3 and b = -2, what is the result of -5a compared to 4?

• Equal to

• Cannot be determined

• Less than

• Greater than

What is the value of x if 5 + x = 2x?

• 2

• 5

• 1

• 0

If a = 3 and b = -2, what is the result of 10b + 8 compared to 3 - 4?

• Equal to

• Cannot be determined

• Greater than

• Less than

Which value of x satisfies the equation x + 5 = 2x?

• -1

• 3

• 0

• 5