Alabama School of Fine Arts Pre-Algebra Exam 2016

Transcription

1 Alabama School of Fine Arts Pre-Algebra Exam Factor Completely: (x + 3x + 7) + ( 4x + 8) + (4x x 1). a. (x )(x + 3) b. (x + )(x 3) c. x + x d. x. Turner s age last year was 1 of what Jacob s age will be 3 years from now. When Turner s present age is added to Jacob s present age, the total is 8. How old is Turner today? a. 57 b. 34 c. 14 d Two banjos equals three quirks. four quirks equal seven peabodies. six peabodies equal one hillar. How many hillars equals nine banjos? a b c. 1 d What is a. b. 4 c. 3 d.

2 5. John is trying to open his front door, but his roommate Arnold has changed the password on the numeric keypad. Arnold left John the following information: A e B = AB 3 and the code is given by the expression. If A=1 and B=, what is the 4 Ae B 3 code to the door? a. 14 b. 34 c. 144 d. 43. How many rectangles are in the following diagram? a. 10 b. 17 c. 13 d. 7. Mother Theresa is opening a daycare facility in Holland. For dessert on Wednesday, Theresa will feed the youth watermelon. Each child can consume a maximum of 40 cm 3 of watermelon. If Mother Theresa purchases 7 watermelons that are all shaped like cubes and each watermelon has a side length of 0.3 meters. At most, how many children can be completely full if she feeds them all the watermelons she bought? a. 750 b. 475 c d Winnifred decided to host a party. She invited 0 people. Every person she invited, invited three other people. If Winnifred brought enough drinks for 40 people, then how many people will not have a drink? a. 40 b. 41 c. 80 d. 10

3 9. Aunt Williams has 3 colors of balls in her ball pit: red, grey, and black. She is only happy if there are 5 black balls for every grey ball, and 4 grey balls for every red ball in the pit. Aunt Williams was happy until of the red balls were taken from her ball pit. What is the least amount of balls we can remove to make her happy again? a. 3 b. 40 c. 48 d An electromagnetic wave has a period of 5 x 10 3, what is the frequency in scientific 1 notation? Note : Period frequency a. 5 x 10-3 b. x c. x 10-3 d. 5 x What is the probability of getting a factor of 10 when you toss a -sided die? a. 5 b. 1 c. 3 d x 3y 1x 9y 1. Simplify 4 when x = 4, y = 7. a. 1 9 b. c. 74 d. 1 5 x 3

4 13. What is the average slope of the equation f(x) = x 3 + 3x 4 between x = and x = 5? a. -0 b c. -54 d The area of the polygon ABCDE is 101 cm. Find the length of BC. a. 100cm b cm c. 8cm d. 13cm 15. Simplify: a. 15 b. 10 c. d

5 1. Uncle Willy is now times older than Turner, his nephew. Four years ago, Uncle Willy was 3 times as old as his nephew Henry was at the time. How old is Henry if Turner is 17 years old? a. 14 b. 13 c. 1 d What is the sum of the mean, median, and mode of the following set: {5, 1, 15,, 1, 7, 9, 1, 1, 11, 1, 3}? a b c. 1.5 d Jacob and Turner are selling lemonade and cookies. Turner sells cookies for $1.75 per cookie and lemonade for $1.5 per cup. Jacob sells lemonade for $0.75 per cup and cookies for $3.75 per cookie. How many cookies and cups of lemonade must they each sell so that Jacob makes $55.50 and Turner makes $34.00? a. 8 cookies, 10 lemonade cups b. 13 cookies, 9 lemonade cups c. 13 cookies, 13 lemonade cups d. 9 cookies, 13 lemonade cups 19. Simplify: (10 + 4(9 3) + (5(4 + 1)) + ) 10 a. 10 b. 394 c. 34 d. 99 5

6 0. You have 10 ml of 8% magic sauce solution in a 00 ml beaker. You mix in 50 ml of water. What is the concentration of magic sauce in the new solution to the nearest tenth of a percent? a. 3.4% b. 4.5% c. 5.% d..7% 1. Marky Mark is trying to fill his empty swimming pool with spring water, which is pumped from California at a rate of 0,000 gallons/day. Marky Mark s pet iguana, Bo, has chewed a hole through the pipe, and 10,000 gallons of water are lost through the hole daily. If Marky Mark s pool can hold 08,000 gallons, how many hours will it take to fill the pool to the nearest hour? a. 1,7 b. 78 c d. 17,510. Simplify: ( ) ( )? a. 4.0 x b. 4.0 x c. 4.0 x 10 8 d. 4.0 x How many distinct ways can you arrange the letters in ALABAMA? a. 840 b. 18 c d. 10

7 4. Water enters a tank from a pipe at a rate of 3 gallons per minute. 5 minutes after water begins to flow from the first source, a second pipe opens with water flowing at a rate of gallons per minute. At the same time, water begins to leak from the tank at a rate of 7 gallons per minute. The tank can hold 99 gallons. How long will it take to fill the tank to the nearest minute? a. 4 b. 47 c. 49 d Simplify: 5 (4 + ((x 3) + (x(9 4)))) a. x + 4x + 13 b. 5x + 0x + 5 c. 5x + 15x + 45 d. x +x + 13 TB 1. units of item A equal 3 units of item B. 4 units of item B equal 7 units of item C. units of item C equal 1 unit of item D. 9 units of A is equal to how many units of item D? TB. There are seven distinct lines. What is the maximum number of intersections they can produce? TB 3. Suppose 3 liters of paint can cover 10 m. You use half of your paint to paint a cylindrical barn with height 4m and radius 5m, but you don t paint the bottom of the cylinder. What is the largest height of a cone with radius 5m that you can paint with the remaining paint if you don t paint the bottom? 7