Algebra II Test
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Algebra II Test
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25 Questions

1. Use elimination to solve the system of equations.

{2x - 5y = 1
{5x -2y = -4

2. Find the inverse of the function and determine whether the inverse is a function. y = 7x²

3. solve for x. 3x - 3 = x - 9

4. Evaluate the sum. (Evernote)

5. A 50-row theater has 30 seats in the front row. The second row has 31 seats. If each row has one more than the row in front of it, how many seats are there in the theater?

6. Find the four arithmetic means between -3 and 102.

7. Solve the quadratic inequality, and graph the solution on a number line. (Evernote)

x² - 4x + 3 < 0

8. Simplify the rational expression. (Evernote)

( 3/(x² + 7x + 12) + 1/(x² + 11x + 28) ) ÷ ( 2/(x² + 10x + 21) + 1/x² + 13x + 36) )

9. Find the exact value of the sine, cosine, and tangent of -210°.

10. Simplify the rational expression.

( (x² + 14x + 49)/8x ) ÷ ( (x+7)/4x )

11. Since 1993, Daphne Hamilton has owned a franchise of take-out restaurants called The Burger Barn. The number of customers, C, in thousands, that The Burger Barn has served each year can be modeled by the function C(t) = t² + 38t + 600, where t is the number of years from 1993. Using this model, estimate the number of customers served in 1999.

12. The band and the cheerleading squad at a local school are ordering supplies. The supplies they need are listed in the table. (Evernote)

13. Evaluate the expression. (3/8)⁻²

14. Given that F = 32°, G = 55°, and f = 10, solve the triangle. If no such triangles exist, write none. Round to the nearest tenth. (Evernote)

15. The inflation rate of the U.S. dollar is 3.1 percent. What this means is that every year, prices increase by 3.1 percent. If a pound of meat cost $2.37 nine years ago, what does it cost now?

16. Write the augmented matrix for the system of equations.

{x - y = -9
{5x = 0

17. Determine which ordered pair (x, y) is a solution of 3x - y ≤ 15.

18. Solve the equation for x. Write the exact solution and the approximate solution to the nearest hundredth, when appropriate.

In(8x - 6) = 3

19. Find the sum of the geometric series 0.2 + 0.02 + 0.002 + . . . given the formula S=a/(1 - r), where 'a' is the first term, 'r' is the common ratio, and 'S' is the sum.

20. Find the three positive geometric means between 6 and 1875/8.

21. Using the given stem and leaf plot and and it's median and mode, select the data set on which it was created. (Evernote)

22. For the function, use synthetic division and substitution to determine whether the given value is a zero of the function.

P(x) = 3x⁴ - 10x³ - 41x² + 68x + 60

23. Use the Law of Cosines to solve for 'A' to the nearest tenth of a degree. (Evernote)

24. If f(x) = 9 - x² and g(x) = 3 - x, which is the rule of function (f × g)(x)?

25. Graph and classify the system of equations as independent, inconsistent, or dependent. If the system is independent, find the solution from the graph.

{3x + 3y = 2
{3x - y = 8