DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 218)

Problem 1 :

√x/2 + √y = 5

√x - √y/2 = -1/2

If (a, b) is the solution to the system of equations above, what is the value of a?

A)  8/5

B)  9/5

C)  64/25

D)  81/25

Solution :

Problem 2 :

The graph above displays the total cost C, in dollars, of renting a car for d days. If Nigel rents a car for 21 days for his summer trip, what is the total rental cost?

A)  $600

B)  $650

C)  $700

D)  $750

Solution :

Problem 3 :

In the figure above, the area of square AFIE is 9 times the area of square HIGC. What percent of square ABCD is shaded?

A) 56.25%

B)  62.5%

C)  67.5%

D)  70.5%

Solution :

Problem 4 :

A survey of 700 randomly selected people aged 15 through 20 in a certain tows was conducted to gather data on how they prefer to see movies. The data are shown in the table below.

If a person is chosen at random from those under 18 years old, which of the following is closest to the probability that the person preferred smartphone downloads?

A)  0.49

B)  0.52

C)  0.54

D)  0.56

Solution :

Problem 5 :

If the graph of y = x² is translated up 3 units and right 5 units, what is the equation of the new graph?

A)  y = x² – 3x + 5

B)  y = x² – 6x + 14

C)  y = x² + 10x + 5

D)  y = x² – 10x + 28

Solution :

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