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 :

Problem 6 :

Which of the following expressions is equivalent to (sin24°)(cos66°) + (cos24°)(sin66°) ?

A)  2(cos66°)(sin24°)

B)  2(cos66°) + 2(cos24°)

C)  (cos66°)² + (sin24°)²

D)  (cos66°)² + (cos24°)²

Solution :

Problem 7 :

The cost of renting a carpet cleaner is $52 for the first
day and $26 for each additional day. Which of the  following functions gives the cost C(d), in dollars, of renting the carpet cleaner for d days, where d is a  positive integer?

A)  C(d) = 26d + 26

B)  C(d) = 26d + 52

C)  C(d) = 52d - 26

D)  C(d) = 52d + 78

Solution :

Problem 8 :

An investment account was opened with an initial value of $890. The value of the account doubled every 10 years. Which equation represents the value of the account M(t), in dollars, t years after the account was opened?

A)  M(t) = 890(1/2)^t/10

B)  M(t) = 890(1/10)^t/2

C)  M(t) = 890(2)^t/10

D)  M(t) = 890(10)^t/2

Solution :

Problem 9 :

For the linear function f, the table shows three values of x and their corresponding values of f(x). If h(x) = f(x) - 13, which equation defines h?

A)  h(x) = 5x − 4

B)  h(x) = 5x + 7

C)  h(x) = 5x + 9

D)  h(x) = 5x + 20

Solution :

Problem 10 :

The linear function g is defined by g(x) = b - 15x, where b is a constant. If g(c + 7) = c/4, where c is a constant, which of the following expressions represents the value of b?

A)  15c/4

B)  19c/4 + 7

C)  61c/4 + 105

D)  15c + 105

Solution :

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Digital SAT Problems and Solutions (Part - 1)

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