Math 3 - Midterm Exam

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Moll sold blueberr pies and 5 pumpkin pies making $69. Ran sold 9 blueberr pies and pumpkin pies making $90. eth ordered one of each pie.

1 Math 3 - Midterm Exam Multiple hoice: Identif the choice that best completes each problem or answers each question.. Solve: a. c. 2. Solve the sstem: 3. Moll and Ran are selling blueberr and pumpkin pies for a school fundraiser. Moll sold blueberr pies and 5 pumpkin pies making $69. Ran sold 9 blueberr pies and pumpkin pies making $90. eth ordered one of each pie. How much was eth s order? a. $22 $20 c. $8 $5. Solve:. 5. Solve: 6. Which function represents the graph below? a. c. 7. Which sstem of linear inequalities represents the graph below?

8. Joe s rectangular garden is 6 meters long and meters wide. He wishes to double the area of the garden b increasing its length and width b the same amount.

2 8. Joe s rectangular garden is 6 meters long and meters wide. He wishes to double the area of the garden b increasing its length and width b the same amount. What will be the new dimensions of his new garden? a. 6 meters b 2 meters c. 3 meters b 6 meters 2 meters b meters 6 meters b 8 meters 9. Given: and. Find:. 0. Which information is FLSE for the graph that has the function? a. zeros =,,, c. max at and min at and. What are all the zeros for the polnomial? a. c.,,,, 2. What are all the zeros for the polnomial function? a., 2,, 2, c.,,,, 3. rectangular prism with a square base has a volume of. The prism has a length and width of (x + 3). What expression represents its height?. Simplif:

3 5. Simplif: 6. Solve: a. 2 8 c What is the hole for the rational function? 8. Which information is FLSE for the function? a. V: x = 2 H: = 0 c. x-int: -int: 9. What are the next two items in the pattern 6,, 22, 30,,? a. 32, 36 2, 5 c. 36, 0 38, 6 Solve the given inequalit. escribe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line. 20. a. The solution set is {6, } The solution set is {, } c. The solution set is {, } The solution set is {, 6} Graph the function f(x) = x +. Identif its domain and range.

4 a. 20 c x x The domain of the function is all real numbers. The range of the function is. 20 The domain of the function is all real numbers. The range of the function is x x The domain of the function is all real numbers. The range of the function is. The domain of the function is all integers. The range of the function is. 22. Find the value of f() and g(0) if f(x) = x 8 and g(x) = 2x 2 22x. a. f() = g(0) = 208 c. f() = 80 g(0) = 8 f() = 0 g(0) = 20 f() = 6 g(0) = 02 Given below are some inequalities. Plot the feasible region graphicall x 2x f(x, ) = x +

5 a. 5 c x x ertices: (, 2) max: f(, 2) = 3 min: f(, 2) = 3 v ertices: (, 2), (, ), (.5, 2) max: f(.5, 2) = 3.5 min: f(, ) = 2 v x x ertices: (, 2), (, ), (.5, 2) max: f(.5, 2) = 3.5 min: f(, ) = 2 v ertices: (, 2), (, ), (.5, 2) max: f(.5, 2) = 3.5 min: f(, ) = 2 v s a receptionist for a hospital, one of Elizabeth s tasks is to schedule appointments. She allots 60 minutes for the first visit and 30 minutes for a follow-up. The doctor cannot perform more than seven follow-ups per da. The hospital has eight hours available for appointments. The first visit costs $20 and the follow-up costs $70. Let x be the number of first visit and be the number of follow-ups. 2. Write a sstem of inequalities to represent the number of first visits and the number of follow-ups that can be performe a. 60x and 7 c. 30x and 7 x 0 and 0 x 0 and 0 60x and 7 60x and 7 x 0 and 0 x 0 and 0

6 Efficient Homemakers Lt makes canvas wallets and leather wallets as part of a mone making project. For the canvas wallets, the need two ards of canvas and three ards of leather. For the leather wallets, the need two ards of leather and three ards of canvas. Their production unit has purchased 36 ards of leather and 0 ards of canvas. Let x be the number of leather wallets and be the number of canvas wallets. 25. If the profit on a canvas wallet is $25 and the profit on a leather wallet is $0, write a function for the total profit on both the wallets. a. f(x, ) = 0x + 25 c. f(x, ) = 25x + 0 f(x, ) = 0x + f(x, ) = x + 25

7 Math 3 - Midterm Exam nswer Section MULTIPLE HOIE. NS: PTS: 2. NS: PTS: 3. NS: PTS:. NS: PTS: 5. NS: PTS: 6. NS: PTS: 7. NS: PTS: 8. NS: PTS: 9. NS: PTS: 0. NS: PTS:. NS: PTS: 2. NS: PTS: 3. NS: PTS:. NS: PTS: 5. NS: PTS: 6. NS: PTS: 7. NS: PTS: 8. NS: PTS: 9. NS: PTS: 20. NS: Solve the inequalit and then graph the solution. orrect! id ou solve the inequalit correctl? id ou perform all the calculations correctl? id ou verif the solution in the given inequalit? PTS: IF: dvanced REF: Page 37 OJ: -5.2 Solve inequalities with fractions. NT: N N 6 N 9 N 2 TOP: Solve inequalities with fractions. KEY: Solve Inequalities Fractions 2. NS: Find the ordered pairs, plot them on a graph, and connect them. orrect! You have plotted the graph of the equation = x + and not = x +. The function of x has to be added and not subtracte The domain of the equation consists of all real numbers and not just integers. PTS: IF: verage REF: Page 9 OJ: Graph special functions and identif the domain and range. NT: N N 5 N 8 N 0 N 2

8 TOP: Graph special functions and identif the domain and range. KEY: Special Functions Graphs omain Range 22. NS: Substitute x = in the equation f(x) and x = 0 in the equation g(x). You have subtracted instead of adding. orrect! You have to substitute the values of f(x) and g(x) in the subsequent equations. Substitute the value in f(x) as well. PTS: IF: verage REF: Page 6 OJ: 2-.2 Find functional values. NT: N N 7 N 9 N 0 N 2 TOP: Find functional values. KEY: Functional Values Functions 23. NS: Plot all the four graphs and shade the feasible region. Then find the coordinates of the feasible region, maximum value, and minimum value. You have not plotted all the inequalities. You have plotted the first equation incorrectl. id ou check the graph properl? orrect! PTS: IF: verage REF: Page 32 OJ: 3-. Find the maximum and minimum values of a function over a region. NT: N N 6 N 8 N 0 N 2 ST: N 2.0 TOP: Find the maximum and minimum values of a function over a region. KEY: Maximum Values Minimum Values 2. NS: Form the sstem of inequalities using the appropriate values. orrect! id ou check the sign used in the inequalities? The values in the first inequalit are incorrect. The value for the total time is incorrect. PTS: IF: verage REF: Page 33 OJ: 3-.2 Solve real-world problems using linear programming. NT: N N 6 N 8 N 0 N 2 ST: N 2.0 TOP: Solve real-world problems using linear programming. KEY: Linear Programming Real-World Problems 25. NS: Write a suitable function denoting the total profits on both the wallets. orrect! id ou consider the profit on the canvas wallets? id ou substitute the correct values? id ou consider the profit on the leather wallets?

9 PTS: IF: asic REF: Page 33 OJ: 3-.2 Solve real-world problems using linear programming. NT: N N 6 N 8 N 0 N 2 ST: N 2.0 TOP: Solve real-world problems using linear programming. KEY: Linear Programming Real-World Problems

ALGEBRA 2 HONORS MIDTERM EXAM

Name: ALGEBRA 2 HONORS MIDTERM EXAM 2011-2012 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Evaluate the given expression if w = 41, x = 5, y = 15, and