Review Guide for alg I final

There will be 2 parts to the final, multiple choice and free response.   Almost half the test involves quadratic functions.  You have time to prepare ,practice, ask questions and master this material before the final, so at the end you should have no excuses for the results.

1. What are the roots for the function, x² +7x +12 = y ?
2. Solve 4x² +6 = 26
3. What are the zeros for  (2x+5)(x - 6) = 0 ?
4. solve :  2x² -4x = 2 .
5. Solve the system of equations:  y = 2x -3 and y = 5x - 21
6. Solve the system of equations:  y = x² - 5x +1 and y = 2x + 19
7. Evaluate:  (3x)²(5x4)   <the 4 is actually an exponent>
8. What is 12x³y⁶ divided by 8xy⁷?
9. What is the area of a rectangle with length (2x-7) and width (3x +1)?
10. Graph:  y = 2x² + 12x - 4
11. graph :  y = -(x-3)² +2
12. What is the lowest point on the graph for the function f(x) = x² -8x +5?
13. Graph f(x) = 2(3)^x.
14. Factor 3x² +11x - 4.
15. Write a polynomial that is a quartic binomial.
16. What is f(-2) for f(x) = x² -3x + 4 ?
17.   If area is x² + 9x - 10, and length is (x-1), what is the width?
18.   Solve the system:  2x +y = 8  and 2y = 4x - 10
19.  factor : 6x³ - 10x
20.   Find the equation for a line with points (1, 6), (2, 8), (3, 10) and (10, 24).

Answers:

1.  X = -3, -4
2. X = 2.3, -2.3
3. X = -2.5, 6
4. X = -0.4, 2.4
5. (6, 9)
6. (9, 37) and (-2, 15)
7. 45x⁶
8. 1.5x²y^-1
9. 6x² - 19x -7

12. (4, -11)

14.  (3x - 1)(x+ 4)

16.  14

17.  (x-10)

18.  (3.25, 1.5)

19.  2x(3x² - 5)