Name ____________________________________________ Date _____________________ Class ____________________
2A Midterm Practice
NO CALC Problems
1. Find P(–3) for P(x) = –x3 – 2x2 + 10
2. What is the name of the parent function for f(x) = |2x – 1|+ 3?
3. Solve 16x2 + 8 = 89.
4. Simplify: (8x4 + x3 – 5x) – (5x2 + 3x – 5x4)?
5. Write the following transformation in terms of f(x): Horizontal stretch by a factor of 2
6. What is the degree of the monomial 2x3yz5 ?
7. Divide: (x3 – 3x2 – 20x – 56) ÷ (x – 7).
8. Using f(x) = x2 as a guide, what are the transformations that produce g(x) = –2(x – 8)2 + 7?
9. Solve the system of equations below:
–10x – 15y = 2
2x + 3y = –5
10. Completely factor the following : 2x4 + 2x3 – 8x2 – 8x ?
11. What is the vertex and y-intercept for f(x) = 4x2 – 16x – 4?
12. What is is the domain and range for the parent function of f(x) = 2(x – 2)2 – 1?
13. Simplify
14. What is the equation of the parent function for g(x) = 2x2 – 4x3 + 5?
15. If f(x) = 5x5 – 2x2 + 5x , how many zeros does f(x) have ?
16. Sketch a graph of y > –2x2 + 8x – 7
CALCULATOR Problems
17. Write the equation in standard form of a quadratic function that has zeros of 10 and –4.
18. What is the number of solutions and their type(s) for the function f(x) = 2x2 – 5x + 10?
19. Selena tosses a rock off of her roof. The quadratic equation that models the path of the rock is p(t) =
–16t 2 + 10t + 25. How long does it take for the rock to hit the ground?
20. Solve the inequality: |3x – 10| + 3 < 25
21. Expand and simplify: (2x – 4)4
22. Simplify:
23. If A(x) is a quadratic function with a negative leading coefficient, B(x) is a cubic function with a
negative leading coefficient, and C(x) is the product of A(x) and B(x), list the following characteristics
of the graph of C(x):
# of turning points: ______
End Behavior: ______________________
24. Simplify
25. Find the minimum or maximum of g(x) = –3x2 + 20x – 5.
26. What are the zeros of the quadratic function f(x) = 2x2 – 11x – 13 = 8 ?
27. Find all roots for the polynomial: 2x5 – x3 = x
28. Simplify
29. Write f(x) = –4x2 + 24x – 35 in vertex form.
30. Brianna and Elisia are selling cookie dough for a school fundraiser. Brianna sells 8 packages of
chocolate chip cookie dough and 7 packages of sugar cookie dough for a total of $261. Elisia sells 1
package of chocolate chip cookie dough and 14 packages of sugar cookie dough for a total of $282.
What is the cost of one package of chocolate chip cookie dough and one package of sugar cookie
dough?
31. What are the solutions to 8x2 – 8x + 1 = –3 ?
32. Is (x + 1) a factor of (x4 + 4x3 + 6x2 – 3)?