Digital SAT Math Problems and Solutions (Part

Problem 1 :

Store A sells raspberries for $5.50 per pint and blackberries for $3.00 per pint. Store B sells raspberries for $6.50 per pint and blackberries for $8.00 per pint. A certain purchase of raspberries and blackberries would cost $37.00 at store A or $66.00 at store B. How many pints of blackberries are in this purchase?

A)  12

B)  8

C)  5

D)  4

Solution :

Problem 2 :

g(x) = x² + 55

What is the minimum value of the given function?

A)  3,025

B)  110

C)  55

D)  0

Solution :

Problem 3 :

The function ℎ is defined by h(x) = a^x + b, where a and b are positive constants. The graph of y = h(x) in the xy-plane passes through the points (0, 10) and (-2, ³²⁵⁄₆). What is the value of ab?

A)  ¼

B)  ½

C)  54

D)  60

Solution :

Problem 4 :

(x − 1)² = -4

How many distinct real solutions does the given equation have?

A)  Exactly one

B)  Exactly two

C)  Infinitely many

D)  Zero

Solution :

Problem 5 :

Solution :

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