SAT MATH VIDEOS
(Part - 10)

Problem 1 :

ax + 4y = 14

5x + 7y = 8

In the system of equations above, a is a constant and x and y are variables. If the system has no solution, what is the value of a?

A)  20/7

B)  35/4

C)  -35/4

D)  -20/7

Solution :

Problem 2 :

The graph of line l is shown in the xy-plane above. The equation of line n (not shown) is y = mx + b, where m and b are constants. If line l is perpendicular to line n, which of the following must be true?

A)  m < 0

B)  m > 0

C)  b > 0

D)  b < 0

Solution :

Problem 3 :

On Friday, Janice read x pages every 30 minutes for 4 hours and Kim read y pages for every 15 minutes for 5 hours. Which of the following represents the total number of pages read by Janice and Kim on Friday?

A)  4x + 5y

B)  8x + 20y

C)  20x + 8y

D)  120x + 75y

Solution :

Problem 4 :

Victor wants to sell 3 watches, each at the same price. After negotiating with customers, however, he ends up selling one at a 30% discount, one at a 20% discount and one at a 10% discount. If Victor sold the watches for a total of $240, how much money did he lose by giving the discounts?

(A)  $45

(B)  $60

(C)  $75

(D)  $90

Solution :

Problem 5 :

x² + kx + 9 = (x + a)²

In the equation above, k and a are positive constants. If the equation is true for all values of x, what is the value of k?

A)  0

B)  3

C)  6

D)  9

Solution :

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