NAME______
Algebra 2 Midterm Review
1. Check entry tasks, review sheets, previous test reviews and test problems you write down to study.
2. Calculate the slope between the given points.
a. (-7, 9) and (4, -5) b. (-8, 2) and (-8, 6)
3. Determine if the following sequences are arithmetic or geometric, then find the common difference or common ratio. Clearly label your answer and show your work.
a. 16, 19.2, 23.04, 27.648, … b. 84, 61, 38, 15, …
c. 120, 90, 67.5, 50.625, …
4. Write a recursive formula for the pattern in #3c.
5. Write a y = equation for #3c.
6. Given the following shifted geometric sequence, find the long-run value.
7. You borrow $12,500 from a bank on November 1st to purchase your first car. The
annual interest rate is 6.25%, compounded monthly. Answer the following:
a. If you make your first payment of $525 on November 30th, and interest started on November 1st, how much do you still owe after you make your first payment?
b. How long will it take you to pay off the loan if you keep making $525 payments at the end of each month? The last payment was less than $525. How much was it?
8. Write the equation for the lines given the following information. Equations can be
written in either slope-intercept form or point-slope form.
a. the line passes through the points (4, -7) and (8, -2)
b. the line is perpendicular to the line and passes through (2, 4)
9. Use the functions below to answer the following:
a. g(-5) b. f(h(7)) c. g(f(x)) d. find
10. Graph the following:
a. b.
c. d.
11. Solve the following for x. Use a calculator as little as possible.
a. 14x – 21 = -32 b. 8 – 5(2x – 9) = -27
c. d.
12. Simplify the radicals.
a. b. c.
13. Simplify using the rules of exponents.
a. b. c. d.
e. f. g. h.
14. Solve the following without the use of a calculator.
a. b. c. d.
e. f. g. h.
i. j. k.
15. Solve using substitution.
a. b.
16. Solve using elimination.
a. b. c.
17. Solve the system using algebra.
18. Write an exponential equation that passes through these points:
(2, 38.829) and (5, 3087.177303)
19. Find the inverse for the following functions.
a. b. c.
20. Check out these application problems again.
a. #6 p290 b. #9 p298 c. #5 p304 d. #12 p306