DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 152)
Problem 1 :
The quadratic expression 6x2 + 11x + 4 can be written as (3x + a)(2x + b), where a and b are integer constants. It can also be written as (3x + c)(2x + d), where c and d are non-integer constants. What is the value of a + c?
Solution :
Problem 2 :
R2 – S2 = 19
In the equation above, if R and S are positive integers, what is the value of R?
Solution :
Problem 3 :
In reading group A with 90 students, there are 4 boys for every 5 girls. In the other reading group B, there are 3 boys for every 2 girls. If these two groups are combined, the ratio of boys to girls will be 10 : 9. How many students are in the reading group B?
Solution :
Problem 4 :
If 4a + b = 8 and 9a – b = 81, what is the value of a2 – b2?
A) 3
B) 8
C) 12
D) 15
Solution :
Problem 5 :
(a – 1)x2 + (b – 2)x + c = 0
In the equation above, a, b and c are constants. If the equation is true for all real values of x, what is the value of a + b + c?
Solution :
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