New SAT Math Multiple Choice Online Practice Test 19

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Question 15 questions

Time 19 minutes

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1.

In the equation above, what is the value of n?

  • A.
  • B.
  • C. There is no value of n that satisfies the equation.
  • D. There are infinitely many values of n that satisfy the equation.

2. Which of the following is equivalent to the expression above?

  • A.
  • B.
  • C.
  • D.

3.

The figure above shows the graph of f(x). For which value(s) of x does f(x) equal 0?

  • A. –3 and 3
  • B. –1 and 1
  • C. –1, 1, and 2
  • D. 2 only

4.

A start-up business is typically one that offers a "new" type of service or produces a "new" product. Start-ups are designed to search for a sustainable business model. The function shown in the graph represents new business start-up rates in the United States from 1977 to 2013 as reported by the U.S. Census Bureau. If t represents the year, then which of the following statements correctly describes the function?

  • A. The function is increasing overall.
  • B. The function is decreasing overall.
  • C. The function is increasing for all t such that 1977 < t < 2013.
  • D. The function is decreasing for all t such that 1977 < t < 2013.

5. Which of the following systems of inequalities has no solution?

  • A.
  • B.
  • C.
  • D.

6. At what value(s) of x do the graphs of y = -2x + 1 and y = 2x2 + 5x + 4 intersect?

  • A.
  • B.
  • C.
  • D.

7.

If line P shown in the graph is reflected over the x-axis and shifted up 3 units, what is the new y-intercept?

  • A. (0, –4)
  • B. (0, –2)
  • C. (0, 2)
  • D. (0, 4)

8. Which of the following are roots of the equation 3x2 – 6x – 5 = 0?

  • A.
  • B.
  • C.
  • D.

9. If , where both m > 0 and n > 0, which of the following gives n in terms of m?

  • A.
  • B.
  • C.
  • D.

10. If (x, y) represents the solution to the system of equations shown above, what is the value of y?

  • A. 10
  • B. 19
  • C. 29
  • D. 31

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

  • A.
  • B.
  • C.
  • D.

12. The value of cos 40° is the same as which of the following?

  • A. sin 50°
  • B. sin(–40°)
  • C. cos(–50°)
  • D. cos 140°

13. A business's "break-even point" is the point at which revenue (sales) equals expenses. When a company breaks even, no profit is being made, but the company is not losing any money either. Suppose a manufacturer buys materials for producing a particular item at a cost of $4.85 per unit and has fixed monthly expenses of $11,625 related to this item. The manufacturer sells this particular item to several retailers for $9.50 per unit. How many units must the manufacturer sell per month to reach the break-even point for this item?

  • A. 810
  • B. 1,225
  • C. 2,100
  • D. 2,500

14. If what is the value of 6x - 5y?

  • A. 32
  • B. 80
  • C. 96
  • D. 160

15. If f(g(2)) = -1 and f(x) = x + 1, then which of the following could define g(x)?

  • A. g(x) = x – 6
  • B. g(x) = x – 4
  • C. g(x) = x – 2
  • D. g(x) = x – 1