SAT Math Videos – Part 10 (No Calculator)

Problem 1 :ax + 4y = 145x + 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)  -20/7Solution :

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 < 0B)  m > 0C)  b > 0D)  b < 0Solution :

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 + 75ySolution :

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)  $90Solution :

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)  0B)  3C)  6D)  6Solution :

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