The video tutorial covers three problems. Problem 77 involves calculating Miss Smith's income for 1991 using percentage increase and linear equations. Problem 78 focuses on determining the slope of a line using given points and understanding the concept of rise over run. Problem 79 deals with calculating the time it takes for one car to be a certain distance ahead of another, using concepts of relative speed and constant rates.

If Miss Smith's income in 1990 was $30,000, what would her income be in 1991 if it increased by 20%?

• $32,000

• $30,000

• $36,000

• $35,000

Tags

CCSS.6.NS.B.3

What was Miss Smith's total income for 1990 if she earned $17,500 in the first half and $20,000 in the second half?

• $40,000

• $35,000

• $37,500

• $30,000

Tags

CCSS.8.EE.C.8C

Which of the following statements is sufficient to determine Miss Smith's income in 1991?

• Both statements are needed.

• Her income for the last six months of 1990 was $20,000.

• Her income for the first six months of 1990 was $17,500.

• Her income for 1991 was $7,500 more than 1990.

Tags

CCSS.4.OA.A.3

If Miss Smith's income for 1991 was $7,500 more than 1990, and her 1990 income was $37,500, what was her income in 1991?

• $45,000

• $42,000

• $43,000

• $44,000

Tags

CCSS.8.EE.B.5

In a coordinate plane, if the coordinates of point Q are (3, 4) and point P are (-2, -1), what is the slope of the line connecting these points?

• 1

• 2

• 0.5

• -1

Tags

CCSS.8.EE.B.5

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

What is the change in y over change in x for a line with points (c, d) and (a, b)?

• d - b over c - a

• c - a over d - b

• a - c over b - d

• b - d over a - c

Tags

CCSS.7.EE.B.4A

If car X is traveling at 50 mph and car Y at 40 mph, how long will it take for car X to be 2 miles ahead of car Y?

• 12 minutes

• 6 minutes

• 10 minutes

• 15 minutes

Tags

CCSS.7.EE.B.4A

If car X was 1/2 mile ahead of car Y 3 minutes ago, how long will it take for car X to be 1 mile ahead?

• 6 minutes

• 3 minutes

• 12 minutes

• 9 minutes

Tags

CCSS.8.EE.C.7B

If car X is 1 mile ahead of car Y, and both are traveling at constant speeds, how many minutes will it take for car X to be 2 miles ahead if car X travels 10 mph faster than car Y?

• 6 minutes

• 8 minutes

• 12 minutes

• 10 minutes

Tags

CCSS.8.EE.C.7B