Download Algebra 2 Learning Check #2 (Quarter 2 Test) Study Guide

NAME:_________________________________________ Date:__________________ PERIOD:_____________
Algebra 2 Learning Check #2 (Quarter 2 Test) Study Guide
1. Simplify the expression.
2. Simplify the expression.
3. Use graphing to find the solutions to the system of equations.
4. Graph
. How many turning points are there?
5. Write the polynomial in factored form.
x3 + 4x2 – 12x
6. What are the zeros of the function? Graph the function.
7. What is a cubic polynomial function in standard form with zeros –5, 3, and –2?
8. What are the real or imaginary solutions of the polynomial equation?
9. Divide using synthetic division.
by (
).
10. Use synthetic division to find P(–3) for
.
11. Describe the vertical asymptote(s) and hole(s) for the graph of
12. Find the horizontal asymptote of the graph of
13. Graph of the rational function.
.
.
NAME:_________________________________________ Date:__________________ PERIOD:_____________
14. What is the domain of the rational function?
y
10
5
–10
–5
5
10 x
–5
–10
15. Simplify the rational expression.
16. Solve the equation. Check for extraneous solutions.
17. Simplify the expression.
18. Solve. 6x2 + 12x + 18 = 0
19. Divide using long division.
by x + 4.
20. In business, a break-even point is the point (x,y) at which the graphs of the revenue and cost functions intersect.
For one manufacturing company, the revenue from producing x items is given by the function y = 2x + 10 and the
cost of producing x items is given by the function y = -x2 + 9x + 4. Find all the break-even points.