# DIGITAL SAT MATH PROBLEMS AND SOLUTIONS(Part - 10)

Problem 1 :

If f(x) = x + 7 and g(x) = 7x, find the value of the following :

4f(2) − g(2)

A)  -5

B)  1

C)  22

D)  28

Solution :

Problem 2 :

The y-intercept of the graph of y = -6x - 32 in the xy-plane is (0, y). What is the value of y?

Solution :

Problem 3 :

The graph of the function f, where y = f(x), models the total cost y, in dollars, for a certain video game system and x games. What is the best interpretation of the slope of the graph in this context?

A)  Each game costs \$25.

B)  The video game system costs \$100.

C)  The video game system costs \$25.

D)  Each game costs \$100.

Solution :

Problem 4 :

y < -4x + 4

Which point (x, y) is a solution to the given inequality in the xy-plane?

A)  (2, -1)

B)  (2, 1)

C)  (0, 5)

D)  (-4, 0)

Solution :

Problem 5 :

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is 63 inches. The equation 3x + 6y = 63 represents this situation, where x is the number of sides of figure A and y is the number of sides of figure B. Which statement is the best interpretation of 6 in this context?

A)  Each side of figure B has a length of 6 inches.

B)  The number of sides of figure B is 6.

C)  Each side of figure A has a length of 6 inches.

D)  The number of sides of figure A is 6.

Solution :

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