Angles, Inequalities, and Expressions

This video tutorial covers various mathematical concepts for seventh-grade students. It begins with solving problems related to non-adjacent angles, complementary angles, and vertical angles. The tutorial then moves on to algebraic topics, including matching equivalent expressions and factoring expressions using common factors. It also includes a section on writing and solving inequalities, along with graphing solutions. Finally, the video presents a practical problem involving an equation to determine how long a bag of dog food will last.

If two lines intersect and one angle measures 42 degrees, what is the measure of the opposite angle?

• 180 degrees

• 138 degrees

• 90 degrees

• 42 degrees

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

If angle R is 62 degrees, what is the measure of angle S if they are complementary?

• 28 degrees

• 62 degrees

• 90 degrees

• 118 degrees

Can two angles be both vertical and complementary? If so, what would be their measure?

• Yes, 60 degrees

• Yes, 90 degrees

• No, it's not possible

• Yes, 45 degrees

What is the sum of supplementary angles?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Which expression is equivalent to 5x + 5?

• 10x

• 5x - 5

• x + 5

• 5(x + 1)

What is the greatest common factor of 15a and 13a?

• 13

• 15

• 1

• a

How would you factor the expression 15a - 13a?

• 13(a - 15)

• a(13 - 15)

• 15(a - 13)

• a(15 - 13)

In a dance show, if 7 students are needed for the technical crew, how many students are needed in total for at least 6 groups of 9?

• 61

• 54

• 60

• 63

What inequality represents the situation where 7 students are on the technical crew and the rest form groups of 9?

• x ≥ 61

• x ≤ 61

• x = 61

• x > 61