DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 8)

Problem 1 :

If ᵃ⁄₃ = 10 − 7b and a ≠ 0, which of the following correctly expresses b in terms of a?

Solution :

Problem 2 :

In the xy-plane, the equation (x – 7)² + (y + 7)² = 64 defines circle O, and the equation (x – 7)² + (y + 7)² = c defines circle P. If the two circles have the same center, and the radius of circle P is three less than the radius of circle O, what is the value of constant c?

Solution :

Problem 3 :

A school has received a donation of $20,000 for the purchase of new laptops. If each laptop costs $149, no tax is charged, and the laptop manufacturer offers a 7.5% discount on orders of at least 100 laptops, what is the maximum number of laptops the school can purchase with the donation?

A)  124

B)  134

C)  145

D)  146

Solution :

Problem 4 :

3x² – y – 26 = 0

y = –3x + 10

The point (a, b) is an intersection of the system of equations above when graphed in the xy-plane. What is a possible value of a?

A)  -4

B)  6

C)  20

D)  26

Solution :

Problem 5 :

How many values for y satisfy the following equation?

–6(4y + 2) = 3(4 – 8y)

A)  Zero

B)  Exactly one

C)  Exactly two

D)  Infinitely many

Solution :

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