Problem 1 :
A bakery gave out coupons to celebrate its grand opening. Each coupon was worth either $1, $3 or $5. Twice as many $1 coupons were given out as $3 coupons and 3 times as many $3 coupons were given out as $5 coupons. The total value of all the coupons given out was $360. How many $3 coupons were given out?
A) 40
B) 45
C) 48
D) 54
Solution :
Problem 2 :
3x + b = 5x - 7
3y + c = 5y - 7
In the equations above, b and c are constants. If b is c minus ½, which of the following is true?
A) x is y minus ¼
B) x is y minus ½
C) x is y minus 1
D) x is y plus ½
Solution :
Problem 3 :
(4x + 4)(ax – 1) – x2 + 4
In the expression above, a is a constant. If the expression is equivalent to bx, where b is a constant, what is the value of b?
A) -5
B) -3
C) 0
D) 12
Solution :
Problem 4 :
If (x, y) is
the solution to the system of equations above, what is the value of y?
Solution :
Problem 5 :
mx – 6y = 10
2x – ny = 5
In the system of equations above, m and n are constants. If the system has infinitely many solutions, what is the value of m/n?
Solution :
Digital SAT Problems and Solutions (Part - 1)
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