Mathematical Problem Solving

The video tutorial covers a series of math problems from a PSAT practice test, including topics such as algebraic expressions, systems of equations, similar triangles, and function evaluation. Each problem is explained step-by-step, demonstrating various mathematical techniques and problem-solving strategies. The tutorial aims to enhance understanding of key concepts and improve problem-solving skills.

What is the babysitter's total earnings if she works 5 hours and gets the kids to bed on time?

• $40

• $43

• $50

• $53

What is the value of x/y if 3x + 3y = y?

• 3/2

• -3/2

• 2/3

• -2/3

What is the solution for x in the system of equations given in the transcript?

• x = 12

• x = -12

• x = 112

• x = -112

If the ratio of similar triangles is 5:7 and one side is 48, what is the length of the corresponding side?

• 28

• 34

• 48

• 40

How many hard puzzles did Tina solve if she solved 50 puzzles in total?

• 20

• 25

• 30

• 15

What is the value of r - s if r is greater than s?

• 7/2

• 3/2

• 5/2

• 13/2

For what values of x is Taylor's charge greater than Allen's?

• x > 4

• x = 5

• x < 4

• x = 4

How many fewer cups of coffee are sold for every 1 degree increase in temperature?

• 12

• 9

• 6

• 3

What is the equation for the truck's elevation change over time?

• 4.64t

• 6.64t

• 5.64t

• 8.64t

What is the result of plugging x = -2 into the function?

• -1

• 2

• 0

• 1