Class: Date: ID: A. 1, Write the polynomial so that the exponents decrease from left to right. c. llb~-4b 2-6b+3 d.
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1 Class: Date: ID: A A~gebra 1 - Fina~ Exam Review 2(H3 1, Write the polynomial so that the exponents decrease from left to right. 6X X + 4x s - 2 4x5 +6x3 _6x_2 c. -4x 5-6x3 +6x+2 b. -2+4x 5-6x+6x3 d. 2-4x s +6x-6x 3 2. Find the degree of the polynomial -3x 4 + 2x ~ + 4 c. 6 b. 1 d Classify the expressiou --9V and state its binomial, 9 c, trinomial, 9 b. binomial, 10 d. trinomial, 10 Find the difference. (6b3+3b2+8)-(263-Sb2+6b-5) ~ 4b~+llb~-6b+13 b. 4b?+llb2+6b-13 c. llb~-4b 2-6b+3 d. llb 3 +4b ~-6b-3 Find the product. (4x + 1) (4x - 3) a. 16x2 + 8x-3 b. 16x ~--~+3 (x+5)(x~-2x+3) ~) x~ + 3x~ - 7x +15 b. x ~ -2x 2 + I6x2-8x- 3 d. 16x~-16x-3 c. xa + 3x~- - lox +15 d. x2-3x+ 15 Find the product. 8, (2v+5)(~v- 5) 4v ~ - 25 b. 4v ~ +25 c. 4v ~ +20v-25 d. 4v z +20v (a- 7) 2 1 O. Solve the equation 30x ~ + 1 lx - 30 = O.
2 I[X): A Factor the trinomial. 5x -+ 43x+ 24 Solve the equation. 12. x 3 +4x- -25x-100=0 a. -4, 25 b. -5, 4, 5 c. 4, 13. x3 +7x2-18x=O Describe how the graph of the function compares to the graph of Graph: 16. (~54x2 +5x+4 Solve the equation!7. 4y = 120 2
3 ID: A Solve the equation. Round the solutions to the nearest hundredth (x+6) -~ = 33 An object is dropped from an initial height ofs feet. The object s height at any time t, in seconds, is given by h = -16t 2 +s. 19. How long does it take for an object dropped from 200 feet to hit the grg_und? Round your result to two decimal places. ~ ~ ~ t~4; ~ 4~ ~ O Solve the quadratic equation. 20. x 2 + 8x + 14=0 a. 4+,,~,4- b. -8+2~f~, - 8-2~f~ Use the quadratic formula to solve the equation. x -~ = 15x b. -15-,x/~, I5+ xf~ ~ d. 2 2 Use the discriminant to determine the number of solutions of the equation x ~ +6x+6=0 ~ 2 b, 3 c. 1 d. 0 The model for the height of a projectile is h = -4.9t 2 + vt + s, where h is the height in meters, t is the time in seconds, v is tbe initial vertical velocity in meters per second, and s is the initial height in meters. An arrow shot from a height of 0.5 meters with an initial vertical velocity of 46 meters per second. Will the arrow ever reach a height of 240 meters?~ ~[{) Tell whether the table of values represents a linear function, an exponentialftmction, or a quadratic.function. Then write an equation for the function. 24. x y
4 ~): A Use a graph to tell whether the ordered pairs represent a linear function, an exponentialfttnction, or a qttadratic ftmction. 25, (-5, 10), (-1,-2), (-4,4), (0, 0), (1,4), (2, Simplify: 26. Simplify: a. Simplify: Simplify: Solve: Solve. 32. Find the midpoint of (4, 16) and (9,-2). b. (13, 14) c. (10, d. (-13, -14) 33. Find the distance between the two points. (-4,-2), (2, 3) 4
5 ID: A Find the quetfieat. 35, 36. Divide 24x 2-9x x by 3x - 5. b. -3x 2+3x-9 2 x-5 c. -3x2+3x-9-1.~6 x-5 d. -3x ~ +3x-4+ ~8 x-5 A coin is tossed and a die isrolled. What is the probability tbat the coin shows heads and the die shows a two? a. ~ b. ~ c. 2~ Elaine went to the mall to buy a shirt for a friend. Her choices for the shirt are striped and corduroy. Both of the choices come in green, yellow, and blue. A box contains 8 green, 4 yellow, and 8 purple balls. You draw a ball at random. Find the probability of drawing a green or a purple ball. 39. A number cube is rolled 120 times. Six is rolled 23 times~ a. What is tbe theoretical probability of rolling a six? b. What is tbe experimental probability of rolling a six? ]~ A bag contains Vwo blue marbles and one red marble. favor of picking the red marble? is randomly drawn. What are the odds in The probability of an event " Find the odds against the event occarring. 42. A special deck of cards contains three each of the numbers from 1 to 8 and four each of the numbers 9 and 10. One card is drawn at random from the deck. What is the probability that the card is a number greater than ~43. Find the value: C2~ R ~ ] 7P2 a b. 84 d Nine people are entered in a race. If there are no ties, in how many ways can tbe first two places come out?
6 ll): A Find the value: 45. 7C~_ a. 21 c, 14 b. 147 d. 42 Tbe Pioneer High track coach has a group of nine runners from which to choose a 4-person relay team. How many different 4-person teams can be formed from this group of runners. A drawer contains 2 red socks, 7 white socks, and 9 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and the second sock are both red? ~ 1 a. 1~ b. 8--~ c. d. ~ Find the mean, mediau and mode for the data. ~ ~,, 40, 54, 9, 48, 37, 81, 16, 38, 29, 30 N~ ~ A high school football coach is going to calculate the mean, median, mode(s), and range of the weights of the players on the first swing offense. The weights are listed below. 188,203, 156,229, 178,206,235,250, 164, 148,220 A repo~er is writing a sho~ a~icle about the team s prospects for the coming season. Which measure of central-tendency should the coach give to the repoaer to make the players on the offense seem as large as possible? Draw a box-and-whisker plot of the data. Make two statements about the data. 24, 15, 19,20,27,24, 19,40,28,37,25, 17, 19,32, ANS: 14 t
7 Algebra 1 : Final Exam - Open Ended Practice 1. You are designing a poster. The width is x + 4 cm and the length is 2x - 1 cm. a. Write an expression to represent the perimeter of the poster. b. Write an expression to represent the area of the poster. c. The picture on the poster has width x cm and length (x + 1) cm~ d. Write an expression for the area of the border. 2. Graph the following: y =-2x2 + 8x + 3 Vertex Axis of symmetry Open up/down? Vertically stretched or compressed? 3. A baseball player hits a baseball into the air with initial vertical velocity of 48 feet/sec from a height of 3ft. a. Write an equation that gives the baseball s height as a function of the time. b. ~Vhen does the baseball reach its max height? What is the max height? c. When does the basebal! hit the ground?
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