# Algebra 2 Fall Exam Review Paper

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H Algebra 2 Fall Exam Review 2011 Name______________________ 1. An animal shelter receives a shipment of items worth a total of \$1890. Large bags of dog food are \$8 each, pet blanket are \$5 each, and dog toys are \$4 each. There are 5 bags of dog food for each dog toy and twice as many blankets as dog toys. Set up the matrix equation to solve this system. 2. Given the inequality y &lt; x2 + 2x – 3, is the point (0, -3) part of the solution? Name a point that is part of the solution and one that is not. 3. An animal shelter receives a shipment of items worth a total of \$1890. Large bags of dog food are \$8 each, pet blankets are \$5 each, and dog toys are \$4 each. There are 5 bags of dog food for each dog toy and twice…show more content…
Krabs has decided to add pizza to the Krusty Krab menu in addition to Krabby Patties. A Krusty Krab Pizza requires 8 cups of seaweed and 1 cup of the Secret Formula. A Krabby Patty requires 1 cup of seaweed and 1 cup of the Secret Formula. The Krusty Krab has at most 40 cups of seaweed and 12 cups of secret formula available. Mr. Krabs makes a profit of \$3 for each Krusty Krab Pizza and \$1 for each Krabby Patty. How many Krusty Krab Pizzas and Krabby Patties must Sponge Bob make in order for Mr. Krabs to maximize his profit? 15. Which constraint does not represent the data in the above problem? a) b) c) d) 16. Which equation represents the Objective Function for the above problem? a) b) c) d) 17. Write the equation of a square root graph that has been vertically compressed by a factor of , reflected over the x-axis, translated down 2 units and right 3 units. 18. How many solutions to a system of equation is represented by each graph? a. b. c. d. 19. Determine the domains of the piecewise functions. Put your answer in interval…show more content…
e. Use the model from part c to estimate the time at which the area is 525 square feet. 45. Write the function f(x) = x2 + 10x - 13 in vertex form. Identify the vertex. 46. Write the function f(x) = 2(x – 2)2 – 5 in standard form. 47. Find the zeros of the following quadratic functions: a) f(x) = x2 + 10x + 21 b) f(x) = (x – 1)2 + 7 c) f(x) = x2 - 4x + 9 48. A popular mixture of potpourri includes pine needles and lavender. Pine needles cost \$1.50 per ounce and lavender costs \$4.00 per ounce. Set up the system of equations needed in order to make 80 oz of the potpourri that is worth \$200. Flooring Sale! | Laminate | \$1.50/ft2 | Carpet | \$2/ft2 | Ceramic Tile | \$4/ft2 | Hardwood Flooring | \$6/ft2 | 49. An architect is planning the flooring for a 2000 ft2 home. There will be three types of flooring: hardwood, tile, and carpet. The architect has budgeted \$8000 for the floors and has decided to buy 400 ft2 of tile. Is it possible for the rest of the flooring to be half wood and half carpet? Explain. 50. Describe the solution to a quadratic equation if the discriminant is a) equal to 0; b) positive; or c)