Algebra 2 Unit 1 Test Review

Algebra 2 Unit 1 Test Review I. Order of Operations: PEMDAS (without calculator) 6  (8  4)  2[3  (7  10)2 ] 1. 2(3 2  1)  7 2. x = -2, y = 3, z = 4 3.

II. Solve Equations: Backwards PEMDAS 3 1 3  2x 4. (x  6)  x  5. 11  3(x  5)  3x  1 6.  1  4x  7 7. 2 3 5

III. Write equations of line: slope intercept form y = mx + b

8. Write the equation of the line that is perpendicular to and passes through the point (-1, 5). 9. Write the equation of the line parallel to and passes through the point (2, -7).

IV. Interval Notation: 10. Write the interval notation for where 11. Draw a number line showing zeroes, undefined points, and the tendency of f(x) for 3x(x  4)(x  9) f (x)  (x  1)(x  2)

V. Functions: Function, 1-1, both, basic operations, inverse, composite 12. Determine if the following are functions, 1-1, or both. Evaluate the following expressions given 2 x y f (x)  5  x and g(x)  1  3x -3 8 13. 14. -1 7 0 4 15. 16. 1 3 2 8 17. f (2)  g(5) 18. f (g(3))

VI. Shifts: Outside ( ) + = up, - = down, inside ( ) + = left, - = right, multiplier neg = flip, # < 1 shrink, # > 1 stretch 19. Shift the given function below to 20. Graph

21. Write an equation for the following graph. 22. Describe the shift. List the domain and range.