Digital SAT Math Practice Test with Answers

Question 1 :

The graph of a linear function f(2x – 5) is passing through the points (–1, –3) and (13, 25). If g(x) = f(x) + 7, then which of the following is the y-intercept of the graph of g(x)?

A)  (0, 7)

B)  (7, 0)

C)  (0, 11)

D)  (11, 0)

Answer :

Question 2 :

The equation above is true for all real values of y ≠ 2/3, where a is a constant. What is the value of a?

A)  8

B)  9

C)  11

D)  15

Answer :

Question 3 :

A decorating consultant charges consultation costs based on the graph above.    If the consultant works for x hours (x > 2), for the consultation, which of the following represents the total cost?

A)  C(x) = 300

B)  C(x) = 300 + 100x

C)  C(x) = 300 + (200/7) x

D)  C(x) = 300 + (200/7)(x - 2)

Answer :

Question 4 :

In the figure above. AB = 9, CD = 3 and AC = 12. What is the length of PQ?

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Question 5 :

The table above shows some values of a linear function f. If the difference between a and b is 9 and b is greater than a, what is the value of k?

A)  7

B)  8

C)  9

D)  12

Answer :

Question 6 :

f(x) = –a^{x + 2} + b

The graph of y = f(x) is passing through the points (–2, 6) and (0, –2). The graph of g(x) is the result of the graph of f(x) translated 3 units to the right and 5 units up. Which of the following equations defines g(x)?

A)  g(x) = –3^{x – 3} + 5

B)  g(x) = –3^{x – 3} + 12

C)  g(x) = –3^{x – 1} + 5

D)  g(x) = –3^{x – 1} + 12

Answer :

Question 7 :

If f(x – 2) = 3x – 10 for all values of x, then f(-2k + 3) is equal to

A)  -6k

B)  -6k + 5

C)  -6k - 4

D)  -6k + 9

Answer :

Question 8 :

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is 3/4 cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult’s daily allowance of potassium is provided by x servings Crunchy Grain cereal per day, which of the following expresses p in terms of x?

A)  p = 0.5x

B)  p = 5x

C)  p = (0.05)x

D)  p = (1.05)x

Answer :

Question 9 :

A right triangle is formed by the straight line 4x + 3y = 12 with the axes. Then the length of the perpendicular from the origin to the hypotenuse is

A)  3.5 units

B)  2.4 units

C)  4.2 units

D)  5.3 units

Answer :

Question 10 :

A supervisor surveyed students in his school to see if they support or oppose building a fast-food restaurant in school. Each student either supports or opposes builiding the fast-food restaurant. The incomplete table above shows the results of his survey. If 40% of juniors oppose, how many seniors are in the school?

A) 80

B) 156

C)  112

D)  124

Answer :

Question 11 :

x² + 12x – 40 = 0

If j + 2√k is one solution for the equation above, what is the value of j + k?

Answer :

Question 12 :

In the triangle above, the value of cos x° is 0.8. If the length of AC is 20, what is the length of BD?

Answer :

Question 13 :

A T-Mobile telephone company offers domestic plans as follows.

Plan A :

$0.25 per domestic text with no plan.

Plan B :

Any 200 domestic texts for $10 per month with an additional cost $0.50 per text over 200.

If Angela uses 400 texts per month, how much money, in dollars, will she save per month by using the less expensive plan?

Answer :

Question 14 :

The graph of the function f(x) is shown in the xy-plane above. What is the area of triangle ABC?

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Question 15 :

f(x) = k(x + 4)(x – 10)

In the quadratic function f above, k is a constant. The graph of the function in the xy-plane is a parabola  with vertex (a, b). If b = -7, which of the following is equal to k?

A)  1/49

B)  1/7

C)  7

D)  49

Answer :

Question 16 :

If m is 20% of (m + r + q) and q is 30% of (q + r) and r is 3010, what is the value of m?

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Question 17 :

In the figure above, lines ℓ and m are parallel. If a = 130 and b = 115, what is the value of c?

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Question 18 :

The area of a regular hexagon is 24√3. What is the perimeter?

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Question 19 :

If a⁹/b = 5555 and a¹⁰ = 5, then what is the value of 1/ab?

A)  5

B)  1111

C)  2525

D)  5555

Answer :

Question 20 :

In the figure above, m || n. What is x?

A)  128

B)  167

C)  171

D)  173

Answer :

Question 21 :

If ΔRST is isosceles, RS = 9 and RT and ST are integers, then which of the following is NOT a possible perimeter of ΔRST?

A)  15

B)  19

C)  22

D)  69

Answer :

Question 22 :

What is the sum of the measures, in degrees, of the marked angles in the figure above?

Answer :

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