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 :
x^{2} + 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 :
Digital SAT Problems and Solutions (Part - 1)
Digital SAT Problems and Solution (Part - 2)
SAT Math Practice Videos (Part - 1)
SAT Math Practice Videos (Part - 2)
SAT Math Practice Videos (Part - 3)
SAT Math Practice Videos (Part - 4)
SAT Math Preparation Videos (Part - 1)
SAT Math Preparation Videos (Part - 2)
SAT Math Preparation Videos (Part - 3)
SAT Math Preparation Videos (Part - 4)
SAT Math Video Solutions (Part - 1)
SAT Math Videos on Exponents (Part - 1)
SAT Math Videos on Exponents (Part - 2)
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