# New SAT Math Multiple Choice Online Practice Test 13

### Test Information

15 questions

19 minutes

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1.

The graph shows the cost of installing a vinyl privacy fence. The company charges a flat installation fee plus a cost per linear foot of fencing. Based on the graph, how much does one linear foot of this particular vinyl fence cost?

• A. \$5
• B. \$15
• C. \$75
• D. \$150

2.

Which of the following expressions is equivalent to the expression shown above?

• A. 2x2 + 3x
• B. 24x4 + 36x3
• C. 2x2 + 3x - 1
• D. 24x4 + 36x3 - 1

3.

In the figure shown, ΔABC ∼ ΔDBE. What is the length of

• A. 3.5
• B. 3.75
• C. 4
• D. 4.5

4.

Which of the following represents the function shown?

• A.
• B.
• C.
• D. f(x) = 3(x - 2)2 + 5

5.

If line L shown here is reflected over the x-axis, what is the slope of the new line?

• A. -2
• B.
• C.
• D. 2

6. If p = 4x3 + x - 2, q = x2 - 1, and r = 3x - 5, then what is 2p - (q + r)?

• A. 7x3 - x + 2
• B. 8x3 - x2 - x + 2
• C. 8x3 - x2 - x - 10
• D. 8x3 - x2 + 5x - 8

7. Which of the following are the roots of the equation 2x2 + 4x - 3 = 0?

• A.
• B.
• C.
• D.

8. If g(x) = 3x - 5 and at what point does the graph of g(x) intersect the graph of h(x)?

• A. (-2, -11)
• B. (2, 1)
• C. (3, 4)
• D. (6, 13)

9. If where x > 0 and k > 0, which of the following equations gives k in terms of x?

• A.
• B.
• C.
• D. k = -x3

10. 4x - (10 - 2x) = c (3x - 5)

If the equation shown has infinitely many solutions, and c is a constant, what is the value of c?

• A. -2
• B.
• C.
• D. 2

11. If which of the following is not a possible value of a?

• A. 1.5
• B. 2
• C. 2.5
• D. 3

12.

If the system of inequalities shown has no solution, what is the value of k?

• A. 1
• B. 2
• C. There is no value of k that results in no solution.
• D. There are infinitely many values of k that result in no solution.

13.

What value(s) of x satisfy the equation above?

• A. 0
• B. 7
• C. No solution
• D. Any value such that x ≠ 7

14.

The circle shown is given by the equation x2 + y2 + 6x - 4y = 12. What is the shortest distance from A to B?

• A. 5
• B. 10
• C.
• D. 24

15. If g is a function defined over the set of all real numbers and g(x - 1) = 3x2 + 5x - 7, then which of the following defines g(x)?

• A. g(x) = 3x2 - x - 9
• B. g(x) = 3x2 + 5x + 1
• C. g(x) = 3x2 + 11x + 1
• D. g(x) = 3x2 + 11x - 6

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