Class: Date: ID: A. 1, Write the polynomial so that the exponents decrease from left to right. c. llb~-4b 2-6b+3 d.

Size: px
Start display at page:

Download "Class: Date: ID: A. 1, Write the polynomial so that the exponents decrease from left to right. c. llb~-4b 2-6b+3 d."

Transcription

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?

8

Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell

Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell Algebra 1: Final Exam Review 2013 Mrs. Brennan!Mr. Carell Monday June 24, 2013 8:00am to 10:00am Format: 80 multiple choice 4 free response Total 1 point each 5 points each 1 O0 points Content: Chapter

More information

Polynomials. 1. Classify by degree and number of terms:

Polynomials. 1. Classify by degree and number of terms: Semester Exam Review Packet 2018 *This packet is not necessarily comprehensive. In other words, this packet is not a promise in terms of level of difficulty or full scope of material. Polynomials 1. Classify

More information

Vocabulary. Term Page Definition Clarifying Example. binomial. cubic. degree of a monomial. degree of a polynomial

Vocabulary. Term Page Definition Clarifying Example. binomial. cubic. degree of a monomial. degree of a polynomial CHAPTER 7 Vocabulary This table contains important vocabulary terms from Chapter 7. As you work through the chapter, fill in the page number, definition, and a clarifying example for each term. binomial

More information

Answer Key. Solve each equation x - 9 = (n + 2) = b - 6 = -3b + 48

Answer Key. Solve each equation x - 9 = (n + 2) = b - 6 = -3b + 48 Solve each equation. 1. -3x - 9 = -27 2. 25 + 2(n + 2) = 30 3. -9b - 6 = -3b + 48 x = 6 n = 1 / 2 b = -9 4. 5 - (m - 4) = 2m + 3(m - 1) 5. -24-10k = -8(k + 4) - 2k 6. f - (-19) = 11f + 23-20f m = 2 no

More information

Final Exam 2016 Practice Exam

Final Exam 2016 Practice Exam Final Exam 2016 Practice Exam Short Answer 1. Multiply. 2. Multiply. 3. Find the product.. 4. Use the Quadratic Formula to solve. 5. Faye is 20 feet horizontally from the center of a basketball hoop that

More information

Final Exam Review. Name: Class: Date: Short Answer

Final Exam Review. Name: Class: Date: Short Answer Name: Class: Date: ID: A Final Exam Review Short Answer. Use x, 2, 0,, 2 to graph the function f( x) 2 x. Then graph its inverse. Describe the domain and range of the inverse function. 2. Graph the inverse

More information

Probability Long-Term Memory Review Review 1

Probability Long-Term Memory Review Review 1 Review. The formula for calculating theoretical probability of an event is What does the question mark represent? number of favorable outcomes P.? 2. True or False Experimental probability is always the

More information

Unit 5 Test: 9.1 Quadratic Graphs and Their Properties

Unit 5 Test: 9.1 Quadratic Graphs and Their Properties Unit 5 Test: 9.1 Quadratic Graphs and Their Properties Quadratic Equation: (Also called PARABOLAS) 1. of the STANDARD form y = ax 2 + bx + c 2. a, b, c are all real numbers and a 0 3. Always have an x

More information

Math 511 Exam #1. Show All Work No Calculators

Math 511 Exam #1. Show All Work No Calculators Math 511 Exam #1 Show All Work No Calculators 1. Suppose that A and B are events in a sample space S and that P(A) = 0.4 and P(B) = 0.6 and P(A B) = 0.3. Suppose too that B, C, and D are mutually independent

More information

Name Date Class California Standards 17.0, Quadratic Equations and Functions. Step 2: Graph the points. Plot the ordered pairs from your table.

Name Date Class California Standards 17.0, Quadratic Equations and Functions. Step 2: Graph the points. Plot the ordered pairs from your table. California Standards 17.0, 1.0 9-1 There are three steps to graphing a quadratic function. Graph y x 3. Quadratic Equations and Functions 6 y 6 y x y x 3 5 1 1 0 3 1 1 5 0 x 0 x Step 1: Make a table of

More information

Pre-Algebra Semester 2 Practice Exam DRAFT

Pre-Algebra Semester 2 Practice Exam DRAFT . There are 0 yellow and purple marbles in a bag. If one marble is randomly picked from the bag, what are the odds in favor of it being yellow? A. : B. : C. :3 D. 3: 3. The data below shows the number

More information

Name I.D. Number. Select the response that best completes the statement or answers the question.

Name I.D. Number. Select the response that best completes the statement or answers the question. Name I.D. Number Unit 4 Evaluation Evaluation 04 Second Year Algebra 1 (MTHH 039 059) This evaluation will cover the lessons in this unit. It is open book, meaning you can use your textbook, syllabus,

More information

Name: Geometry & Intermediate Algebra Summer Assignment

Name: Geometry & Intermediate Algebra Summer Assignment Name: Geometry & Intermediate Algebra Summer Assignment Instructions: This packet contains material that you have seen in your previous math courses (Pre- Algebra and/or Algebra 1). We understand that

More information

Honors Math 2 Exam Review Packet 1. Mastery Review from 2 nd Quarter

Honors Math 2 Exam Review Packet 1. Mastery Review from 2 nd Quarter Honors Math 2 Exam Review Packet 1 Mastery Review from 2 nd Quarter 1. A card is drawn from a 52-card deck. What is the probability of NOT drawing a face card or a spade? 2. A bag of marbles contains 6

More information

hs assessment Name: Simplify: 7. Find the quotient ËÁ ( 3 + 4) 2 a. 25 b. 196 c. 198 d. 100 a b c. 4 d.

hs assessment Name: Simplify: 7. Find the quotient ËÁ ( 3 + 4) 2 a. 25 b. 196 c. 198 d. 100 a b c. 4 d. Name: hs assessment Simplify:. 2 + 2( 3 + 4) 2 2 96 98 00 x + 0 2. Simplify x + 0 x + 2 x + x + 2 3. Simplify 0 3 + 4 0. 4.8 27 32 28.8 4. Evaluate. ( 4) ( ) + 6 3 3. Find the product. ( 8)(2)() 80 80

More information

Quadratic Functions and Equations

Quadratic Functions and Equations Quadratic Functions and Equations Quadratic Graphs and Their Properties Objective: To graph quadratic functions of the form y = ax 2 and y = ax 2 + c. Objectives I can identify a vertex. I can grapy y

More information

Algebra I CP Final Exam Review

Algebra I CP Final Exam Review Class: Date: Algebra I CP Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the graph that displays the height of a ping pong

More information

The number part of a term with a variable part. Terms that have the same variable parts. Constant terms are also like terms.

The number part of a term with a variable part. Terms that have the same variable parts. Constant terms are also like terms. Algebra Notes Section 9.1: Add and Subtract Polynomials Objective(s): To be able to add and subtract polynomials. Recall: Coefficient (p. 97): Term of a polynomial (p. 97): Like Terms (p. 97): The number

More information

2. Write each number as a power of 10 using negative exponents.

2. Write each number as a power of 10 using negative exponents. Q Review 1. Simplify each expression. a. 1 0 b. 5 2 1 c. d. e. (7) 2 f. 6 1 g. 6 0 h. (12x) 2 i. 1 j. 6bc 0 0 8 k. (11x) 0 l. 2 2 9 m. m 8 p 0 n. 5a 2c k ( mn) o. p. 8 p 2m n q. 8 2 q r 5 r. (10a) b 0

More information

A. B. C. D. Quadratics Practice Test. Question 1. Select the graph of the quadratic function. g (x ) = 1 3 x 2. 3/8/2018 Print Assignment

A. B. C. D. Quadratics Practice Test. Question 1. Select the graph of the quadratic function. g (x ) = 1 3 x 2. 3/8/2018 Print Assignment Question 1. Select the graph of the quadratic function. g (x ) = 1 3 x 2 C. D. https://my.hrw.com/wwtb2/viewer/printall_vs23.html?umk5tfdnj31tcldd29v4nnzkclztk3w8q6wgvr262aca0a5fsymn1tfv8j1vs4qotwclvofjr8xhs0cldd29v4

More information

MTH 201 Applied Mathematics Sample Final Exam Questions. 1. The augmented matrix of a system of equations (in two variables) is:

MTH 201 Applied Mathematics Sample Final Exam Questions. 1. The augmented matrix of a system of equations (in two variables) is: MTH 201 Applied Mathematics Sample Final Exam Questions 1. The augmented matrix of a system of equations (in two variables) is: 2 1 6 4 2 12 Which of the following is true about the system of equations?

More information

13-5 Probabilities of Independent and Dependent Events

13-5 Probabilities of Independent and Dependent Events CCSS REASONING Determine whether the events are independent or dependent. Then find the probability. 6. In a game, you roll an even number on a die and then spin a spinner numbered 1 through 5 and get

More information

TSIA MATH TEST PREP. Math and Science, ASC 1

TSIA MATH TEST PREP. Math and Science, ASC 1 TSIA MATH TEST PREP Math and Science, ASC 1 Texas Success Initiative: Mathematics The TSI Assessment is a program designed to help Lone Star College determine if you are ready for college-level coursework

More information

Algebra I. Slide 1 / 175. Slide 2 / 175. Slide 3 / 175. Quadratics. Table of Contents Key Terms

Algebra I. Slide 1 / 175. Slide 2 / 175. Slide 3 / 175. Quadratics. Table of Contents Key Terms Slide 1 / 175 Slide 2 / 175 Algebra I Quadratics 2015-11-04 www.njctl.org Key Terms Table of Contents Click on the topic to go to that section Slide 3 / 175 Characteristics of Quadratic Equations Transforming

More information

Algebra I. Key Terms. Slide 1 / 175 Slide 2 / 175. Slide 3 / 175. Slide 4 / 175. Slide 5 / 175. Slide 6 / 175. Quadratics.

Algebra I. Key Terms. Slide 1 / 175 Slide 2 / 175. Slide 3 / 175. Slide 4 / 175. Slide 5 / 175. Slide 6 / 175. Quadratics. Slide 1 / 175 Slide / 175 Algebra I Quadratics 015-11-04 www.njctl.org Key Terms Slide 3 / 175 Table of Contents Click on the topic to go to that section Slide 4 / 175 Characteristics of Quadratic Equations

More information

Controlling the Population

Controlling the Population Lesson.1 Skills Practice Name Date Controlling the Population Adding and Subtracting Polynomials Vocabulary Match each definition with its corresponding term. 1. polynomial a. a polynomial with only 1

More information

INCOMING HS 9 TH GRADE (COMPLETED PRE-ALGEBRA)

INCOMING HS 9 TH GRADE (COMPLETED PRE-ALGEBRA) INCOMING S 9 T GRADE (COMPLETED PRE-ALGEBRA) Select the best answer. 1. Solve the system: x 2y = 7 x + 3y = 14 A ( 7, 7) C ( 7, 1) B no solution D (7, 0) 2. Solve 3y + 9 = 7 + 9y. y = 3 4 G y = 4 3 y =

More information

2015 State Competition Countdown Round Problems 1 80

2015 State Competition Countdown Round Problems 1 80 2015 State Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. National Sponsors Raytheon Company Northrop Grumman Foundation U.S. Department of

More information

Algebra I Quadratics

Algebra I Quadratics 1 Algebra I Quadratics 2015-11-04 www.njctl.org 2 Key Terms Table of Contents Click on the topic to go to that section Characteristics of Quadratic Equations Transforming Quadratic Equations Graphing Quadratic

More information

MAHS-DV Algebra 1-2 Q4

MAHS-DV Algebra 1-2 Q4 MAHS-DV Algebra 1-2 Q4 Adrienne Wooten Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) www.ck12.org To access a customizable version of this book, as well as other interactive

More information

Algebra II 1.0 MULTIPLE CHOICE. 1. What is the complete solution to the inequality 5x 6 > 9? A. C x > or x < 3. x > 3 or x < B.

Algebra II 1.0 MULTIPLE CHOICE. 1. What is the complete solution to the inequality 5x 6 > 9? A. C x > or x < 3. x > 3 or x < B. lgebra II 1.0 MULTIPLE OIE 1. What is the complete solution to the inequality 5x 6 > 9? x > or x < 3 x > 3 or x < x > 3 or x < ST: (Key)1.0 x < 3 or x > 2. What is the complete solution to the equation

More information

Algebra 2B Review for the Final Exam, 2015

Algebra 2B Review for the Final Exam, 2015 Name:: Period: Grp #: Date: Algebra 2B Review for the Final Exam, 2015 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Tell whether the function y = 2(

More information

Algebra 2 Honors. Unit 4, Day 1 Period: Date: Graph Quadratic Functions in Standard Form. (Three more problems on the back )

Algebra 2 Honors. Unit 4, Day 1 Period: Date: Graph Quadratic Functions in Standard Form. (Three more problems on the back ) Algebra Honors Name: Unit 4, Day 1 Period: Date: Graph Quadratic Functions in Standard Form 1. y = 3x. y = 5x + 1 3. y = x 5 4. y = 1 5 x 6. y = x + x + 1 7. f(x) = 6x 4x 5 (Three more problems on the

More information

Lesson One Hundred and Sixty-One Normal Distribution for some Resolution

Lesson One Hundred and Sixty-One Normal Distribution for some Resolution STUDENT MANUAL ALGEBRA II / LESSON 161 Lesson One Hundred and Sixty-One Normal Distribution for some Resolution Today we re going to continue looking at data sets and how they can be represented in different

More information

4/17/2012. NE ( ) # of ways an event can happen NS ( ) # of events in the sample space

4/17/2012. NE ( ) # of ways an event can happen NS ( ) # of events in the sample space I. Vocabulary: A. Outcomes: the things that can happen in a probability experiment B. Sample Space (S): all possible outcomes C. Event (E): one outcome D. Probability of an Event (P(E)): the likelihood

More information

9.3 Using the Quadratic Formula to Solve Equations

9.3 Using the Quadratic Formula to Solve Equations Name Class Date 9.3 Using the Quadratic Formula to Solve Equations Essential Question: What is the quadratic formula, and how can you use it to solve quadratic equations? Resource Locker Explore Deriving

More information

TSIA MATH TEST PREP. Math Topics Covered:

TSIA MATH TEST PREP. Math Topics Covered: TSIA MATH TEST PREP Texas Success Initiative: Mathematics The TSI Assessment is a program designed to help Lone Star College determine if you are ready for college-level coursework in the general areas

More information

Chapter 8 Polynomials and Factoring

Chapter 8 Polynomials and Factoring Chapter 8 Polynomials and Factoring 8.1 Add and Subtract Polynomials Monomial A. EX: Degree of a monomial the of all of the of the EX: 4x 2 y Polynomial A or EX: Degree of a polynomial the of its terms

More information

Section 9.1: Add and Subtract Polynomials. The number part of a term with a variable part.

Section 9.1: Add and Subtract Polynomials. The number part of a term with a variable part. Algebra Notes Section 9.1: Add and Subtract Polynomials Objective(s): Recall: Coefficient (p. 97): Term of a polynomial (p. 97): Like Terms (p. 97): The number part of a term with a variable part. The

More information

Final Exam Review - DO NOT WRITE ON THIS

Final Exam Review - DO NOT WRITE ON THIS Name: Class: Date: Final Exam Review - DO NOT WRITE ON THIS Short Answer. Use x =,, 0,, to graph the function f( x) = x. Then graph its inverse. Describe the domain and range of the inverse function..

More information

2. Linda paid $38 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket?

2. Linda paid $38 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket? KCATM 011 Word Problems: Team 1. A restaurant s fixed price dinner includes an appetizer, an entrée, and dessert. If the restaurant offers 4 different types of appetizers, 5 different types of entrees,

More information

Algebra II: Chapter 4 Semester Review Multiple Choice: Select the letter that best answers the question. D. Vertex: ( 1, 3.5) Max. Value: 1.

Algebra II: Chapter 4 Semester Review Multiple Choice: Select the letter that best answers the question. D. Vertex: ( 1, 3.5) Max. Value: 1. Algebra II: Chapter Semester Review Name Multiple Choice: Select the letter that best answers the question. 1. Determine the vertex and axis of symmetry of the. Determine the vertex and the maximum or

More information

Spring 2012 Student Performance Analysis

Spring 2012 Student Performance Analysis Spring 2012 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse. 1 Representing and Evaluating Cube Roots and Square Roots

More information

Unit 6: Quadratics. Contents

Unit 6: Quadratics. Contents Unit 6: Quadratics Contents Animated gif Program...6-3 Setting Bounds...6-9 Exploring Quadratic Equations...6-17 Finding Zeros by Factoring...6-3 Finding Zeros Using the Quadratic Formula...6-41 Modeling:

More information

= 9 = x + 8 = = -5x 19. For today: 2.5 (Review) and. 4.4a (also review) Objectives:

= 9 = x + 8 = = -5x 19. For today: 2.5 (Review) and. 4.4a (also review) Objectives: Math 65 / Notes & Practice #1 / 20 points / Due. / Name: Home Work Practice: Simplify the following expressions by reducing the fractions: 16 = 4 = 8xy =? = 9 40 32 38x 64 16 Solve the following equations

More information

0813ia. Integrated Algebra Regents Exam

0813ia. Integrated Algebra Regents Exam 081ia 1 Which situation describes a negative correlation? 1) the amount of gas left in a car's tank and the amount of gas used from it the number of gallons of gas purchased and the amount paid for the

More information

Semester 2 Final Exam Review Guide for AMS I

Semester 2 Final Exam Review Guide for AMS I Name: Semester 2 Final Exam Review Guide for AMS I Unit 4: Exponential Properties & Functions Lesson 1 Exponent Properties & Simplifying Radicals Products of Powers: when two powers with the same base

More information

UNIT 3: MODELING AND ANALYZING QUADRATIC FUNCTIONS

UNIT 3: MODELING AND ANALYZING QUADRATIC FUNCTIONS UNIT 3: MODELING AND ANALYZING QUADRATIC FUNCTIONS This unit investigates quadratic functions. Students study the structure of quadratic expressions and write quadratic expressions in equivalent forms.

More information

Sketch a possible graph of a polynomial function with the given zeros. (lesson 6-1, 6-7)

Sketch a possible graph of a polynomial function with the given zeros. (lesson 6-1, 6-7) NAME DATE PERIOD REVIEW: End of Course Final algebra 2 Find the slope and y-intercept of each function described below. (lesson 2-3, 2-4) y = 1 2 x 3 y = 4x + 1 1 2 3 x y 4 0 1 2 3 4 5 6 7 5 4x 2y = 10

More information

Math 2 1. Lesson 4-5: Completing the Square. When a=1 in a perfect square trinomial, then. On your own: a. x 2 18x + = b.

Math 2 1. Lesson 4-5: Completing the Square. When a=1 in a perfect square trinomial, then. On your own: a. x 2 18x + = b. Math 1 Lesson 4-5: Completing the Square Targets: I can identify and complete perfect square trinomials. I can solve quadratic equations by Completing the Square. When a=1 in a perfect square trinomial,

More information

review math0410 (1-174) and math 0320 ( ) aafinm mg

review math0410 (1-174) and math 0320 ( ) aafinm mg Eam Name review math04 (1-174) and math 0320 (17-243) 03201700aafinm0424300 mg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) 7 2-3 A)

More information

Maintaining Mathematical Proficiency

Maintaining Mathematical Proficiency Chapter Maintaining Mathematical Proficiency Simplify the expression. 1. 8x 9x 2. 25r 5 7r r + 3. 3 ( 3x 5) + + x. 3y ( 2y 5) + 11 5. 3( h 7) 7( 10 h) 2 2 +. 5 8x + 5x + 8x Find the volume or surface area

More information

1. The graph of a quadratic function is shown. Each square is one unit.

1. The graph of a quadratic function is shown. Each square is one unit. 1. The graph of a quadratic function is shown. Each square is one unit. a. What is the vertex of the function? b. If the lead coefficient (the value of a) is 1, write the formula for the function in vertex

More information

Algebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals

Algebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals Algebra 1 Math Review Packet Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals 2017 Math in the Middle 1. Clear parentheses using the distributive

More information

Algebra B Chapter 9 Unit Test Version 1 of 3

Algebra B Chapter 9 Unit Test Version 1 of 3 Name Per. _ Date Algebra B Chapter 9 Unit Test Version 1 of 3 Instructions: 1. Reduce all radicals to simplest terms. Do not approximate square roots as decimals. 2. Place your name, period and the date

More information

V cylinder = V cone = V sphere =

V cylinder = V cone = V sphere = Math 7-8 Study Guide Benchmark 2 & Fluency Test Know the formulas for Volume of Cylinders, Cones, and Spheres & be able to use them to solve real world mathematical problems. V cylinder = V cone = V sphere

More information

Algebra II Honors Test Review 6-1 to 6-4

Algebra II Honors Test Review 6-1 to 6-4 Name: Class: Date: Algebra II Honors Test Review 6-1 to 6-4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use a graphing calculator to determine which

More information

NOVA SCOTIA EXAMINATIONS MATHEMATICS 12 JANUARY 2005

NOVA SCOTIA EXAMINATIONS MATHEMATICS 12 JANUARY 2005 NOVA SCOTIA EXAMINATIONS MATHEMATICS JANUARY 005 y 0 8 6 4-4 -3 - - 3 4 5 6 7 8 - -4-6 -8-0 x a + b Comment Box For Use by Teacher What adaptations have been made? By whom? Position: Why? E Completed examinations

More information

Name Class Date. Quadratic Functions and Transformations. 4 6 x

Name Class Date. Quadratic Functions and Transformations. 4 6 x - Quadratic Functions and Transformations For Eercises, choose the correct letter.. What is the verte of the function 53()? D (, ) (, ) (, ) (, ). Which is the graph of the function f ()5(3) 5? F 6 6 O

More information

Quadratic Word Problems - Develop an Approach and Solve

Quadratic Word Problems - Develop an Approach and Solve Name: Class: Date: ID: A Quadratic Word Problems - Develop an Approach and Solve Short Answer 1. Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 7x x, where x = width,

More information

Intermediate Math Circles November 8, 2017 Probability II

Intermediate Math Circles November 8, 2017 Probability II Intersection of Events and Independence Consider two groups of pairs of events Intermediate Math Circles November 8, 017 Probability II Group 1 (Dependent Events) A = {a sales associate has training} B

More information

PRECALCULUS SEM. 1 REVIEW ( ) (additional copies available online!) Use the given functions to find solutions to problems 1 6.

PRECALCULUS SEM. 1 REVIEW ( ) (additional copies available online!) Use the given functions to find solutions to problems 1 6. PRECALCULUS SEM. 1 REVIEW (2011 2012) (additional copies available online!) Name: Period: Unit 1: Functions *** No Calculators!!**** Use the given functions to find solutions to problems 1 6. f (x) = x

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 12-13 Spring Semester Exam Review Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. 1) In how many ways can you answer the

More information

Answers Only VI- Counting Principles; Further Probability Topics

Answers Only VI- Counting Principles; Further Probability Topics Answers Only VI- Counting Principles; Further Probability Topics 1) If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are clubs. (Type a fraction. Simplify

More information

Exam III Review Math-132 (Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 8.1, 8.2, 8.3)

Exam III Review Math-132 (Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 8.1, 8.2, 8.3) 1 Exam III Review Math-132 (Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 8.1, 8.2, 8.3) On this exam, questions may come from any of the following topic areas: - Union and intersection of sets - Complement of

More information

Objectives To solve quadratic equations using the quadratic formula To find the number of solutions of a quadratic equation

Objectives To solve quadratic equations using the quadratic formula To find the number of solutions of a quadratic equation 9-6 The Quadratic Formula and the Discriminant Content Standards A.REI..a Use the method of completing the square to transform an quadratic equation in into an equation of the form ( p) 5 q... Derive the

More information

In #8-11, Simplify the expression. Write your answer using only positive exponents. 11) 4

In #8-11, Simplify the expression. Write your answer using only positive exponents. 11) 4 Algebra 1 Summer Review 16-17 Name Directions: Do your best, this is a refresher from what you learned in Algebra 1. The more you review now, the easier it will be for you to jump back into Algebra Chapter

More information

Solving Multi-Step Equations

Solving Multi-Step Equations 1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract terms to both sides of the equation to get the

More information

Skills Practice Skills Practice for Lesson 3.1

Skills Practice Skills Practice for Lesson 3.1 Skills Practice Skills Practice for Lesson. Name Date Lots and Projectiles Introduction to Quadratic Functions Vocabular Define each term in our own words.. quadratic function. vertical motion Problem

More information

Algebra II Unit #2 4.6 NOTES: Solving Quadratic Equations (More Methods) Block:

Algebra II Unit #2 4.6 NOTES: Solving Quadratic Equations (More Methods) Block: Algebra II Unit # Name: 4.6 NOTES: Solving Quadratic Equations (More Methods) Block: (A) Background Skills - Simplifying Radicals To simplify a radical that is not a perfect square: 50 8 300 7 7 98 (B)

More information

Summer Math Packet Grade 8 / Course 3

Summer Math Packet Grade 8 / Course 3 SHOW WORK FOR EVERY PROBLEM 1. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth. 4. The weight of an object

More information

MAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam

MAT 1033C -- Martin-Gay Intermediate Algebra Chapter 8 (8.1, 8.2, 8.5, 8.6) Practice for the Exam MAT 33C -- Martin-Ga Intermediate Algebra Chapter 8 (8.1 8. 8. 8.6) Practice for the Eam Name Date Da/Time: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

More information

5-6. Quadratic Equations. Zero-Product Property VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING. Problem 1. Solving a Quadratic Equation by Factoring

5-6. Quadratic Equations. Zero-Product Property VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING. Problem 1. Solving a Quadratic Equation by Factoring 5-6 Quadratic Equations TEKS FOCUS TEKS (4)(F) Solve quadratic and square root equations. TEKS (1)(C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate,

More information

Algebra 1 - Semester 2 Final Review

Algebra 1 - Semester 2 Final Review Name: ALG 1 SEM 2 FINAL REVIEW 1 Algebra 1 - Semester 2 Final Review 1. Graph the system of linear inequalities. y 2 y < 2x + 3 4. Graph the function. Compare the graph to the graph of f(x) = x. Describe

More information

Algebra III: Blizzard Bag #1 Exponential and Logarithm Functions

Algebra III: Blizzard Bag #1 Exponential and Logarithm Functions NAME : DATE: PERIOD: Algebra III: Blizzard Bag #1 Exponential and Logarithm Functions Students need to complete the following assignment, which will aid in review for the end of course exam. Look back

More information

Algebra 2, Chapter 5 Review

Algebra 2, Chapter 5 Review Name: Class: Date: Algebra 2, Chapter 5 Review 4.4.1: I can factor a quadratic expression using various methods and support my decision. 1. (1 point) x 2 + 14x + 48 2. (1 point) x 2 x + 42 3. (1 point)

More information

Lesson 1: Multiplying and Factoring Polynomial Expressions

Lesson 1: Multiplying and Factoring Polynomial Expressions Lesson 1 Lesson 1: Multiplying and Factoring Polynomial Expressions When you multiply two terms by two terms you should get four terms. Why is the final result when you multiply two binomials sometimes

More information

Math 521B Chapter 4 Test (33 marks) Name:

Math 521B Chapter 4 Test (33 marks) Name: Math 521B Chapter 4 Test (33 marks) Name: Multiple Choice Identify the choice that best completes the statement or answers the question. (10 marks) 1. What are the x-intercepts of the quadratic function

More information

2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be?

2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be? Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter 1: Number Patterns 1) Find the next three numbers in the sequence: a) 4, 9, 14, 19, 4... b) 16, 8, 4,, 1, ) If an athletic conference

More information

To the Students Taking Algebra at Sartartia Middle School for the School Year:

To the Students Taking Algebra at Sartartia Middle School for the School Year: May 011 To the Students Taking Algebra at Sartartia Middle School for the 011-01 School Year: Next year will be an exciting and challenging year as you take high school credit Pre-AP Algebra I. We spend

More information

Summer Prep Packet for students entering Algebra 2

Summer Prep Packet for students entering Algebra 2 Summer Prep Packet for students entering Algebra The following skills and concepts included in this packet are vital for your success in Algebra. The Mt. Hebron Math Department encourages all students

More information

Name: Exam 2 Solutions. March 13, 2017

Name: Exam 2 Solutions. March 13, 2017 Department of Mathematics University of Notre Dame Math 00 Finite Math Spring 07 Name: Instructors: Conant/Galvin Exam Solutions March, 07 This exam is in two parts on pages and contains problems worth

More information

Looking Ahead to Chapter 10

Looking Ahead to Chapter 10 Looking Ahead to Chapter Focus In Chapter, you will learn about polynomials, including how to add, subtract, multiply, and divide polynomials. You will also learn about polynomial and rational functions.

More information

ALGEBRA UNIT 11-GRAPHING QUADRATICS THE GRAPH OF A QUADRATIC FUNCTION (DAY 1)

ALGEBRA UNIT 11-GRAPHING QUADRATICS THE GRAPH OF A QUADRATIC FUNCTION (DAY 1) ALGEBRA UNIT 11-GRAPHING QUADRATICS THE GRAPH OF A QUADRATIC FUNCTION (DAY 1) The Quadratic Equation is written as: ; this equation has a degree of. Where a, b and c are integer coefficients (where a 0)

More information

Determine the perimeter of the garden.

Determine the perimeter of the garden. Math 9 Year End Review Package: Name: Period: Chapter 1 Square Roots and Surface Area 1. Explain different methods used to determine the side length of this square: Method #1: Method #:. Estimate the value

More information

MATH 035 and MATH 043 REVIEW for FINAL EXAM

MATH 035 and MATH 043 REVIEW for FINAL EXAM MATH 03 and MATH 043 REVIEW for FINAL EXAM MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Solve and graph: -20 8x - 4 and 2x + 7 < 11 1) (-2,

More information

Find a common monomial factor. = 2y 3 (y + 3)(y 3) Difference of two squares

Find a common monomial factor. = 2y 3 (y + 3)(y 3) Difference of two squares EXAMPLE 1 Find a common monomial factor Factor the polynomial completely. a. x 3 + 2x 2 15x = x(x 2 + 2x 15) Factor common monomial. = x(x + 5)(x 3) Factor trinomial. b. 2y 5 18y 3 = 2y 3 (y 2 9) Factor

More information

Algebra 2 Honors: Final Exam Review

Algebra 2 Honors: Final Exam Review Name: Class: Date: Algebra 2 Honors: Final Exam Review Directions: You may write on this review packet. Remember that this packet is similar to the questions that you will have on your final exam. Attempt

More information

College Algebra and College Algebra with Review Final Review

College Algebra and College Algebra with Review Final Review The final exam comprises 30 questions. Each of the 20 multiple choice questions is worth 3 points and each of the 10 open-ended questions is worth 4 points. Instructions for the Actual Final Exam: Work

More information

9-4. Quadratics and Projectiles. Vocabulary. Equations for the Paths of Projectiles. Activity. Lesson

9-4. Quadratics and Projectiles. Vocabulary. Equations for the Paths of Projectiles. Activity. Lesson Chapter 9 Lesson 9-4 Quadratics and Projectiles Vocabulary force of gravity initial upward velocity initial height BIG IDEA Assuming constant gravity, both the path of a projectile and the height of a

More information

Date: Pd: Unit 4. GSE H Analytic Geometry EOC Review Name: Units Rewrite ( 12 3) 2 in simplest form. 2. Simplify

Date: Pd: Unit 4. GSE H Analytic Geometry EOC Review Name: Units Rewrite ( 12 3) 2 in simplest form. 2. Simplify GSE H Analytic Geometry EOC Review Name: Units 4 7 Date: Pd: Unit 4 1. Rewrite ( 12 3) 2 in simplest form. 2. Simplify 18 25 3. Which expression is equivalent to 32 8? a) 2 2 27 4. Which expression is

More information

The x-coordinate of the vertex: The equation of the axis of symmetry:

The x-coordinate of the vertex: The equation of the axis of symmetry: Algebra 2 Notes Section 4.1: Graph Quadratic Functions in Standard Form Objective(s): Vocabulary: I. Quadratic Function: II. Standard Form: III. Parabola: IV. Parent Function for Quadratic Functions: Vertex

More information

Chapter 8 Sequences, Series, and Probability

Chapter 8 Sequences, Series, and Probability Chapter 8 Sequences, Series, and Probability Overview 8.1 Sequences and Series 8.2 Arithmetic Sequences and Partial Sums 8.3 Geometric Sequences and Partial Sums 8.5 The Binomial Theorem 8.6 Counting Principles

More information

Final Exam Review for DMAT 0310

Final Exam Review for DMAT 0310 Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x

More information

How to use this Algebra II - Semester 2 Study Packet

How to use this Algebra II - Semester 2 Study Packet Excellence is not an act, but a habit. Aristotle Dear Algebra II Student, First of all, Congrats! for making it this far in your math career. Passing Algebra II is a huge mile-stone Give yourself a pat

More information

Lesson 10.1 Solving Quadratic Equations

Lesson 10.1 Solving Quadratic Equations Lesson 10.1 Solving Quadratic Equations 1. Sketch the graph of a quadratic equation with each set of conditions. a. One -intercept and all nonnegative y-values b. The verte in the third quadrant and no

More information

Math is Cool Championships

Math is Cool Championships Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise. Record all answers on

More information

Algebra 2 CP Final Exam Review

Algebra 2 CP Final Exam Review Algebra CP Final Exam Review Name: THIS PACKET IS INTENDED TO BE USED AS SUPPLEMENTAL REVIEW AND PRACTICE THAT REFLECT THE TOPICS WHICH WILL BE COVERED ON THE FINAL EXAM. IT SHOULD NOT BE USED AS YOUR

More information

Chinle USD CURRICULUM GUIDE SUBJECT: MATH GRADE: 8th TIMELINE: 3 rd quarter

Chinle USD CURRICULUM GUIDE SUBJECT: MATH GRADE: 8th TIMELINE: 3 rd quarter *Strand 2: Data Analysis, Probability, and Discrete Concept 1: Data Analysis (Statistics) data collection, organization, and representation to analyze and sort data. PO 1. Solve problems by selecting,

More information

Math 095 Final Exam Review - MLC

Math 095 Final Exam Review - MLC Math 095 Final Exam Review - MLC Although this is a comprehensive review, you should also look over your old reviews from previous modules, the readings, and your notes. Round to the thousandth unless

More information