# New SAT Math Multiple Choice Online Practice Test 19

### Test Information

15 questions

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

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