DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 30)

Problem 1 :

The graph of f(x) is shown above for -5 ≤ x ≤ 5. How many real solutions does f(x) = 2 have?

A)  None

B)  1

C)  2

D)  3

Solution :

Problem 2 :

3x² + 10x - 8 = 0

If r and s are two solutions of the equatioon above, which of the following is the value of r + s?

Solution :

Problem 3 :

The price of a backpack is b dollars, to which t percent of sales tax is added at the counter. What is the price of the backpack after tax in terms of b and t?

A)  b(1 + 0.01t) dollars

B)  b(1 + t) dollars

C)  (b + 0.01t) dollars

D)  (b + t) dollars

Solution :

Problem 4 :

The scatter plot above shows the perimeters and areas of 10 rectangles. What is the perimeter, in centimeters, of the rectangle represented by the data point that is farthest from the line of best fit (not shown)?

A)  12

B)  17

C)  20

D)  23

Solution :

Problem 5 :

If (2x - 3)(x - p) = 2x² - qx + 12 for all values of x, what is the value of p + q?

A)  13

B)  15

C)  17

D)  19

Solution :

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