Problem 1 :
If √x + √y = 4√y, where x > 0 and y > 0, what is x in terms of y?
A) 16y
B) 9y
C) 6y
D) 4y
Solution :
Problem 2 :
Richard has seven times as many pienapples as Fred. Nathan has three times as many pineapples as Fred. Richard has 32 more pineapples than Nathan. How many pineapples does Fred have?
A) 7
B) 8
C) 11
D) 12
Solution :
Problem 3 :
During a high school basketball game, Michael scores 30 times for a total of 68 points. If he ended with x two-pointers and y three-pointers, solving which of the following systems of equations gives x and y?
A) x + y = 30 and 2x + 3y = 68
B) x + y = 68 and 2x + 3y = 30
C) x + y = 30 and 3x + 2y = 68
D) x + y = 68 and 3x + 2y = 30
Solution :
Problem 4 :
Given right triangle ABC above, which of the following is equal to c/b?
A) tan B
B) 1/tan B
C) cos B
D) 1/cos B
Solution :
Problem 5 :
A train traveling at an average speed of 80 miles per hour takes 8 hours to complete a given trip. How much time would it take the train to complete the same trip if it traveled at an average speed of 120 miles per hour?
A) 4 hours
B) 4 hours and 30 minutes
C) 5 hours and 20 minutes
D) 5 hours and 30 minutes
Solution :
Digital SAT Problems and Solutions (Part - 1)
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