Fall IM I Exam B

Size: px
Start display at page:

Download "Fall IM I Exam B"

Transcription

1 Fall IM I Exam B Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following equations is linear? a. y = 2x - 3 c. 2. What is the y-intercept of? a. 0 c. 2 b. 3 d Simplify (x - 6)(x + 6) a. x² - 36 c. x² - 12x - 36 b. x² - 12x + 36 d. x² Simplify: 5. Find the values of x, y, and z. The diagram is not to scale x z y Given the equation 0 = -2x² + 6, find the solution(s). a , 1.73 c. 0, -3 b. no solution d. -3

2 8. In 2000 Bob planted a tree that was feet tall. In 2005 the tree was feet tall. Assuming the growth of the tree is linear, how many feet can we expect the tree to grow in 2006? 9. Which equation describes the data below? x y A superball is dropped from a height of 15 feet and bounces to 70% of its previous height after each bounce. The equation, where h is the height off the floor at a given point in time and n is the number of bounces, can be used to approximate the maximum height of the ball at any given bounce. How many bounces will it take for the ball to be less than one foot off the floor? a. 9 c. 10 b. 7 d In business the breakeven point is where Income (I) equals Expenses (E). Ralph makes and sells CD s. He use the equation E = $ d to determine his cost each month. He sells his CD s for $7.00 each. How many CD s must he sell each month to breakeven? a. 631 c. 172 b. 171 d Find the value of x for p to be parallel to q. The diagram is not to scale p q a. 119 b. 18 c. 126 d. 133

3 13. The equation y = -4x - 2, defines a function of x. If x = 1, what is y? a. 6 c. 2 b. -2 d Simplify: 15. A taxi ride cost $ The taxi driver gets $5.20 plus $1.00 per mile. How far did the taxi travel on this trip? a. 19 miles c. 24 miles b miles d. 5.2 miles 16. The value of a particular car is related to the previous year s value by the function. Which statement best describes the change in the car s value from one year to the next? a. The value is decreasing by 92%. c. The value is increasing by 8%. b. The value is decreasing by 8%. d. The value is increasing by 92%. 17. Given a quadratic in the form y = ax² + c, what is the minimum point? a. 0 c. ( 0, c ) b. c d. ( 0, 0 ) 18. Given the following equation, which could be the value of x? a. -2 c. 1 b. -3 d Given -2x² + 4 = 36, find the solution(s). a. no solution c. 4, -4 b. 4 d , Line r is parallel to line t. Find m 5. The diagram is not to scale.

4 r t a. 142 b. 38 c. 28 d Simplify (x - 2)² a. x² + 4x + 4 c. x² - 4x + 4 b. x² + 4 d. x² Given the following table, determine what type of equation it represents: x y a. Other c. Exponential b. Linear d. Quadratic 23. Given 0 = 2x² + 6x, find the solution(s). a. 0, 3 c. 0, 6 b. 0, -3 d Mr. Hanson recorded the typing speeds (in words per minute) of 25 students and their weeks of experience. The line of best fit for the data is y = 4.4x , where x is the number of weeks of experience of a student and y is the student s typing speed. What is the meaning of the rate of change for this set of data? a. the typing speed of a student with no c. the average typing speed of the experience students b. the highest typing speed recorded d. the improvement in typing speed per week for the average student 25. Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula. What is the maximum height reached by the ball? a. 64 feet c. 48 feet b. 80 feet d. 16 feet 26. An object is blasted upward at an initial velocity, v o, of 256 ft/s. The height, h, of the object is a function of time, t (in seconds), and is given by the formula. How long will it take the object to hit the ground after takeoff?

5 a. 7.5 seconds c. 15 seconds b. 4 seconds d. 16 seconds 27. The height, h, in feet of an object thrown into the air with an initial upward velocity of 65 feet per second is given by the formula, where t is the time in seconds. What is the height of the object after 3 seconds? a. 45 feet c. 62 feet b. 51 feet d. 66 feet 28. Given the following table, determine what type of equation it represents: x y a. Quadratic c. Other b. Linear d. Exponential 29. Find the slope of a line that contains the points ( -2, -4) and (1,3) Simplify: 31. Debbie recorded the time it took seven children of different ages to run one lap around the track. Age of Child (years) Time (seconds) Using a linear equation of best fit, which is closest to the length of time it should take Debbie s 12-yearold niece to run one lap?

6 a. 200 sec c. 140 sec b. 127 sec d. 170 sec 32. The dashed line on each graph represents. On which graph is? a. 5 y c. 5 y x x b. 5 y d. 5 y x x Which is equivalent to the expression? 34. An i-phone cost $360 and depreciates at a rate of $90 per year. Which linear equation represents the value, V, of the phone at the end of t years? a. V = 90t-360 c. V = 4(90) b. V = t d. V = 360t Given a quadratic in the form y = ax², what is the vertex?

7 a. x = 0 c. not enough information is given b. ( 0, 0 ) d. x = 0, a 36. Given the equation, which is true for ( x, -9 )? a. x = 3 c. x = -2 b. x = -3 d. x = Enrique wants to buy a car. He currently has saved $360. He needs a total of $3,000 for his car. He earns $125 per week but can only save $90 each week towards his car. Which equation can he use to determine the number of weeks, w, he needs to continue to work before he has the $3,000 he needs to purchase his car? a. 3,000 = 90w c. 3,000 = w b. 3,000 = w d. 3,000 = 125w Which is a factored form of the following expression? 39. Determining where y = 0 for a linear function will specifically tell you: a. the x-intercept c. any point on the graph b. how quickly it rises or falls d. the slope Given ax 2 + bx + c, what does the b do to the graph. a. it determines the y-intercept c. it determines the width b. it causes a horizontal shift d. it causes a vertical shift 42. What is the slope of the graph:

8 y x a. -2 c Given ax 2 + bx + c, what does the a do to the graph. a. it determines the y-intercept c. it causes a horizontal shift b. it causes a vertical shift d. it determines the width 44. Which of the following equations is a quadratic? 45. Given, find the x-intercept(s). a. -9 c. 3 b. 0, 3 d. -9, What is the slope of the line? b. 2 d. 47. b. (-3c) 3 d. 48. Find the distance between points P(8, 6) and Q(1, 5) to the nearest tenth. a b. 8 c. 7.1 d. 50

9 49. Given the following table, determine what type of equation it represents: x y a. Exponential c. Quadratic b. Other d. Linear 50. Simplify: 51. Which of the following equations is exponential decay? 52. Find the value of the variable if and The diagram is not to scale l m a. 2 b. 1 c. 1 d Simplify (x + 2)² a. x² + 4 c. x² + 4x + 4

10 b. x² - 4x - 4 d. x² If find the values of x, EF, and FG. The drawing is not to scale. E F G a. x = 8, EF = 9, FG = 9 c. x = 10, EF = 27, FG = 45 b. x = 8, EF = 13, FG = 15 d. x = 10, EF = 13, FG = Find the midpoint of 10 y P x 5 10 Q a. ( 1, 1) b. ( 2, 2) c. ( 1, 2) d. ( 2, 1) 57. Line b has a slope of 3 and goes through the point (2, 1). Which is one form of the equation for line b? 58. Simplify: 59. Simplify:

11 60. The equation C = 320n + 5,400, where C = average cost and n = the number of years since 2000, represents the average cost of a classic 1967 Mustang Boss beginning in the year 2000 thru What does the 320 represent in the equation? a. The yearly decrease in value c. The yearly increase in value b. The value in 1967 d. The value in Simplify: 62. Which equation fits the following table: x y Simplify: 64. Which of the following equations is a exponential growth? 65. Simplify: 66.

12 67. Katrina s dad put some money into a college savings account for her when she was born. Her dad intends to let the interest accumulate in the account until she goes to college. The rule gives the account balance after x years. Katrina decides she would rather have a down payment on a house instead of going to college. She needs about $34,000 down to purchase the house she wants. How old will she be when she has enough money in her college fund? a. 26 years old c. 25 years old b. 27 years old d. 24 years old 68. Given the equation y = x² + 8x, what is the vertex? a. ( 0, 0 ) c. ( 0, -8 ) b. ( -4, -16 ) d. ( 4, -16 ) 69. If and then what is the measure of The diagram is not to scale. a. 92 b. 54 c. 76 d Which point is the midpoint of? A B C D E a. B b. D c. C d. not B, C, or D 71. In 2002 movie tickets sold for an average price of $5.25 each. In 2009 the average price was $6.57 each. If the price continues to increase in a linear fashion, what can you expect the average price to be in 2011? a. $6.95 c. $6.40 b. $6.57 d. $ Given the equations y = 2x² and y = 2x² + 3, how are they different. a. The second one has a vertical shift c. The second one is narrower than the first b. They are the same width d. The second one has a horizontal shift 73. Given the equations y = 2x² and y = -2x² + 3x, how are they the same.

13 a. The first opens down, the second up c. They are both the same width b. The second has a horizontal shift d. The first opens up the second down 74. An object is dropped from a tall building. Suppose the distance it travels is given by the formula, where d represents the distance in feet and t represents time in seconds. About how long does it take the object to fall 580 feet? a. 4 seconds c. 7 seconds b. 5 seconds d. 6 seconds 75. What is true about the equation? a. r = 2 c. no solution b. r = -1 d. r = For the line y = mx + b, where m < 0 and b > 0, what change would occur if m is multiplied by -1 and b remains the same? a. The slope would become positive. c. The slope would become negative. b. The line would be parallel to the d. The line would be perpendicular to the original. original. 77. The balance in Mr. Smith s savings account at the end of each year is calculated by the equation. Mr. Smith made a deposit to open the account 4 years ago. He has not made any additional deposits or withdrawals since. The balance at the end of 2 years was $1, What is the balance at the end of 4 years? a. $2, c. $2, b. $1, d. $1, A dead tennis ball is dropped from a height of 15 feet and bounces to 70% of its previous height after each bounce. The equation, where h is the height off the floor at a given point in time and n is the number of bounces, can be used to approximate the maximum height of the ball at any given bounce. About what is the maximum height of the ball on its 3rd bounce? a. 8 c. 7 b. 6 d Which angles are corresponding angles?

14 none of these 80. Given the equation, y = 3x + 12, what value of x will make y = 0? a. -4 c. 3 b. 4 d For the line graphed below, the x-intercept is changed to 1 and the slope remains the same. How will the graph of the line change? y x a. It will intersect the original. c. It will be the same as the original. b. It will be parallel to the original. d. It will be perpendicular to the original. 82. Lexi is training for an Ironman competition. To train for the roadrace portion, she cycles 360 miles each week. She averages 60 miles each day she rides. The equation M = d gives the number of miles, M, left to ride after d days. Which graph shows the number of miles Lexi has left to ride after d days? a. miles c. miles days days

15 b miles d miles days days 83. Given the equations y = 2x² and y = -2x² + 3, how are they different. a. The first opens up the second down c. The first opens down, the second up b. The second has a horizontal shift d. They are both the same width 84. Katrina s dad put some money into a college savings account for her when she was born. Her dad intends to let the interest accumulate in the account until she goes to college. The rule gives the account balance after x years. When Katrina is 18 she decides she wants to go to college. About how much money will she have in her college fund? a. $20,000 c. $17,000 b. $18,000 d. $19, What would the x-intercepts be for the equation y = x(3x - 6)? a. -2 c. 0 b. 0, 2 d. 0, -2 Short Answer 86. Tony is working on building a punkin chunkin machine for the annual contest. After he practices, he figures out that the rule gives the height of the pumpkin ( in feet ) t seconds after he launches it. a. Explain what the 12 and the 50 in the rule tell you about the path of Tony s pumpkin. What does the 12 mean? What does the 50 mean? b. Assuming that nobody touches the pumpkin before it hits the ground, how long is the pumpkin in the air? (Round your answer to two decimal places) Show and explain

16 your work. c. What is the maximum height the pumpkin reaches and at what time will that occur? (Round your answer to two decimal places) Show you work or explain your reasoning. A maximum height of occurs at seconds after the pumpkin is launched. d. At what time(s) is the pumpkin at least 25 feet above the ground? (Round your answer to two decimal places) Show your work or explain your reasoning. Jordan s family has rented a suite at a Carolina Panthers football game for her birthday party. The suite cost $ to rent. In addition, they must pay $16 per ticket for each person coming to the game/birthday party. 87. a) Display the (number of people, cost of party) data in the following table and properly label and scale the graph. # of people Cost of party

17 b) If C is the cost of the party and n is the number of people going to the party/game, write an equation to represent the cost of the party. c) Write your equation from b) as a NOW/NEXT equation. NEXT = starting at d) Which variable from b) represents the independent variable and which represents the dependent variable. Explain your reasoning. independent variable dependent variable reasoning: e) Use or adapt your equation from b) to answer the following. Show your work. i) How much did it cost if 10 people came to the party? ii) If Jordan s parents spent $492, how many people came to the party?

18 iii) How many people can come to the party if the cost must be less than $636? 88. A simple one-celled bacterium divides into two identical bacteria every hour. a. If 2 of these bacteria are present in a sample now, how many will be present after 4 hours. (assuming none of them die)? Show and explain your work. Number present: b. Write a Now-Next rule that shows how to use the number of bacteria present at any time to predict the number that will be present an hour later. Next = c. Write a rule that includes exponents and begins y =... that can be used to calculate the number of bacteria present after any number of hour periods. y = d. Use the rules from Parts b or c to complete the following table: Number of Hour Time Periods Number of Bacteria Present e. How many bacteria will be present in the sample after 12 hours? Explain or show your work. Number present: f. Mark an appropriate scale on the y-axis shown, and correctly label each axis. Plot the points from your table in Part d.

19 y x g. Describe the way y changes as x increases.

Algebra I EOC Packet #

Algebra I EOC Packet # 1. Simplify: A 60x 2.5 B 60x 3 C 16x 2.5 D 16x 3 2. If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3? A 18 B 2 C D 3. Which expression is the greatest common factor

More information

Stations Include: Linear Equations Exponential Equations Quadratic Equations Statistics Non-Calculator Questions

Stations Include: Linear Equations Exponential Equations Quadratic Equations Statistics Non-Calculator Questions Algebra 1 EOC Review Stations Use these stations as a warm-up to your end-of-the year review! Each station consists of a brief summarization of the topics (plus calculator keystrokes), a basic practice

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. x )

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. x ) Midterm Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Decide whether or not the arrow diagram defines a function. 1) Domain Range 1) Determine

More information

2 If ax + bx + c = 0, then x = b) What are the x-intercepts of the graph or the real roots of f(x)? Round to 4 decimal places.

2 If ax + bx + c = 0, then x = b) What are the x-intercepts of the graph or the real roots of f(x)? Round to 4 decimal places. Quadratic Formula - Key Background: So far in this course we have solved quadratic equations by the square root method and the factoring method. Each of these methods has its strengths and limitations.

More information

ALGEBRA 1 FINAL EXAM TOPICS

ALGEBRA 1 FINAL EXAM TOPICS ALGEBRA 1 FINAL EXAM TOPICS Chapter 2 2-1 Writing Equations 2-2 Solving One Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with the Variable on Each Side 2-5 Solving Equations Involving

More information

0815AI Common Core State Standards

0815AI Common Core State Standards 0815AI Common Core State Standards 1 Given the graph of the line represented by the equation f(x) = 2x + b, if b is increased by 4 units, the graph of the new line would be shifted 4 units 1) right 2)

More information

Pre-Algebra Semester 1 Practice Exam A

Pre-Algebra Semester 1 Practice Exam A . Evaluate xy when x 0 and y 6. 6 80. Which expression is equivalent to x x x xxx x x xxx x x?. In math class, we follow the order of operations when evaluating expressions. Which is the second operation

More information

Practice EOC Questions

Practice EOC Questions Practice EOC Questions 1 One of the events at a high school track meet is the pole vault. The pole vaulter runs toward the crossbar and uses a pole to attempt to vault over the bar. Josh collects data

More information

Archdiocese of Washington Catholic Schools Academic Standards Mathematics

Archdiocese of Washington Catholic Schools Academic Standards Mathematics ALGEBRA 1 Standard 1 Operations with Real Numbers Students simplify and compare expressions. They use rational exponents, and simplify square roots. A1.1.1 A1.1.2 A1.1.3 A1.1.4 A1.1.5 Compare real number

More information

Due Date Algebra 1 - Problem Set #8 SOL Review

Due Date Algebra 1 - Problem Set #8 SOL Review Due Date Algebra 1 - Problem Set #8 SOL Review Name 1 The table below shows the relation between the number of students in math classes and the predicted number of students in each class passing a test.

More information

1. Find all relations which are functions. 2. Find all one to one functions.

1. Find all relations which are functions. 2. Find all one to one functions. 1 PRACTICE PROBLEMS FOR FINAL (1) Function or not (vertical line test or y = x expression) 1. Find all relations which are functions. (A) x + y = (C) y = x (B) y = x 1 x+ (D) y = x 5 x () One to one function

More information

MAT 111 Final Exam Fall 2013 Name: If solving graphically, sketch a graph and label the solution.

MAT 111 Final Exam Fall 2013 Name: If solving graphically, sketch a graph and label the solution. MAT 111 Final Exam Fall 2013 Name: Show all work on test to receive credit. Draw a box around your answer. If solving algebraically, show all steps. If solving graphically, sketch a graph and label the

More information

Algebra 1 End-of-Course Assessment Practice Test with Solutions

Algebra 1 End-of-Course Assessment Practice Test with Solutions Algebra 1 End-of-Course Assessment Practice Test with Solutions For Multiple Choice Items, circle the correct response. For Fill-in Response Items, write your answer in the box provided, placing one digit

More information

Name: Features of Functions 5.1H

Name: Features of Functions 5.1H Name: Features of Functions 5.1H Ready, Set, Go! Ready Topic: Solve systems by graphing For each system of linear equations: a. Graph the system b. Find the x- and y-intercepts for each equation c. Find

More information

Lesson 3.notebook May 17, Lesson 2 Problem Set Solutions

Lesson 3.notebook May 17, Lesson 2 Problem Set Solutions Lesson 2 Problem Set Solutions Student Outcomes Lesson 3: Analyzing a Verbal Description > Students make sense of a contextual situation that can be modeled with linear, quadratic, and exponential functions

More information

Pre-Algebra 8 Semester 1 Practice Exam

Pre-Algebra 8 Semester 1 Practice Exam . Evaluate xy when x = 0 and y = 6. 6 80. Which expression is equivalent to x + x x + x+ x+ x+ x x x x x x x?. In math class, we follow the order of operations when evaluating expressions. Which is the

More information

MATH 1710 College Algebra Final Exam Review

MATH 1710 College Algebra Final Exam Review MATH 1710 College Algebra Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) There were 480 people at a play.

More information

loose-leaf paper Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

loose-leaf paper Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. Class: Date: Algebra 2 Trig Midterm Exam Review 2014 loose-leaf paper Do all work in a neat and organzied manner on Multiple Choice Identify the choice that best completes the statement or answers the

More information

Re: January 27, 2015 Math 080: Final Exam Review Page 1 of 6

Re: January 27, 2015 Math 080: Final Exam Review Page 1 of 6 Re: January 7, 015 Math 080: Final Exam Review Page 1 of 6 Note: If you have difficulty with any of these problems, get help, then go back to the appropriate sections and work more problems! 1. Solve for

More information

4x 2-5x+3. 7x-1 HOMEWORK 1-1

4x 2-5x+3. 7x-1 HOMEWORK 1-1 HOMEWORK 1-1 As it is always the case that correct answers without sufficient mathematical justification may not receive full credit, make sure that you show all your work. Please circle, draw a box around,

More information

O5C1: Graphing Exponential Functions

O5C1: Graphing Exponential Functions Name: Class Period: Date: Algebra 2 Honors O5C1-4 REVIEW O5C1: Graphing Exponential Functions Graph the exponential function and fill in the table to the right. You will need to draw in the x- and y- axis.

More information

Math 1 Exponential Functions Unit 2018

Math 1 Exponential Functions Unit 2018 1 Math 1 Exponential Functions Unit 2018 Points: /10 Name: Graphing Exponential Functions/Domain and Range Exponential Functions (Growth and Decay) Tables/Word Problems Linear vs Exponential Functions

More information

SY14-15 Algebra Exit Exam - PRACTICE Version

SY14-15 Algebra Exit Exam - PRACTICE Version Student Name: Directions: Solve each problem. You have a total of 90 minutes. Choose the best answer and fill in your answer document accordingly. For questions requiring a written response, write your

More information

Algebra 1 Honors EOC Review #3 Non-Calculator Portion

Algebra 1 Honors EOC Review #3 Non-Calculator Portion Algebra 1 Honors EOC Review #3 Non-Calculator Portion 1. Select any the expressions that are equivalent to 15 3 6 3 3 [A] 15 [B] 1 5 6 1 [C] 3 [D] 5 1 15. Which expression is equivalent to : 3 3 4 8 x

More information

Algebra I EOC Review (Part 2)

Algebra I EOC Review (Part 2) 1. Let x = total miles the car can travel Answer: x 22 = 18 or x 18 = 22 2. A = 1 2 ah 1 2 bh A = 1 h(a b) 2 2A = h(a b) 2A = h a b Note that when solving for a variable that appears more than once, consider

More information

L E S S O N M A S T E R. Name. Vocabulary. 1. In the expression b n, b is called the?.

L E S S O N M A S T E R. Name. Vocabulary. 1. In the expression b n, b is called the?. Vocabulary 7- See pages 7-7 for objectives.. In the epression b n, b is called the?.. The identity function f has the equation f()?.. If g(), is g an eample of a power function? Why or why not?. In a game

More information

0815AI Common Core State Standards

0815AI Common Core State Standards 0815AI Common Core State Standards 1 Given the graph of the line represented by the equation f(x) = 2x + b, if b is increased by 4 units, the graph of the new line would be shifted 4 units 1) right 2)

More information

Algebra 1 STAAR Review Name: Date:

Algebra 1 STAAR Review Name: Date: Algebra 1 STAAR Review Name: Date: 1. Which graph does not represent y as a function of x? I. II. III. A) I only B) II only C) III only D) I and III E) I and II 2. Which expression is equivalent to? 3.

More information

ALGEBRA 1 SEMESTER 1 INSTRUCTIONAL MATERIALS Courses: Algebra 1 S1 (#2201) and Foundations in Algebra 1 S1 (#7769)

ALGEBRA 1 SEMESTER 1 INSTRUCTIONAL MATERIALS Courses: Algebra 1 S1 (#2201) and Foundations in Algebra 1 S1 (#7769) Multiple Choice: Identify the choice that best completes the statement or answers the question. 1. Ramal goes to the grocery store and buys pounds of apples and pounds of bananas. Apples cost dollars per

More information

Algebra 1 PAP Fall Exam Review

Algebra 1 PAP Fall Exam Review Name: Pd: 2016-2017 Algebra 1 PAP Fall Exam Review 1. A collection of nickels and quarters has a value of $7.30. The value of the quarters is $0.80 less than triple the value of the nickels. Which system

More information

Growth 23%

Growth 23% y 100 0. 4 x Decay 23% Math 109C - Fall 2012 page 16 39. Write the quantity 12,600,000,000 miles in scientific notation. The result is: (A) 12. 6 x 10 9 miles (B) 12. 6 x 10 9 miles (C) 1. 26 x 10 10 miles

More information

Algebra 1 Honors EOC Review #4 Calculator Portion

Algebra 1 Honors EOC Review #4 Calculator Portion Algebra 1 Honors EOC Review #4 Calculator Portion 1. Given the data set : 9, 16, 35, 7, 1, 3, 11, 4, 6, 0, 8, 415, 30,, 18, 3, Find the following values : a) Mean b) Median c) Lower Quartile d) Upper Quartile

More information

15) x3/2 = ) (5x + 3)1/3 = 3. 17) (x2 + 14x + 49) 3/4-20 = 7. 18) x4-7x = 0. 19) x2/5 - x1/5-12 = 0. 21) e2x + ex - 6 = 0

15) x3/2 = ) (5x + 3)1/3 = 3. 17) (x2 + 14x + 49) 3/4-20 = 7. 18) x4-7x = 0. 19) x2/5 - x1/5-12 = 0. 21) e2x + ex - 6 = 0 Instructor: Medina Solve the equation. 1) x 9 = x 4 + 7 9 Name 15) x3/2 = 125 2) x + 7 4 = 2 - x - 1 6 16) (5x + 3)1/3 = 3 17) (x2 + 14x + 49) 3/4-20 = 7 3) 7 x = 1 2x + 52 4) 30 x - 4 + 5 = 15 x - 4 18)

More information

Algebra I Practice Exam

Algebra I Practice Exam Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright

More information

8 th Grade Domain 2: Algebra and Functions (40%) Sara

8 th Grade Domain 2: Algebra and Functions (40%) Sara 8 th Grade Domain 2: Algebra and Functions (40%) 1. Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line and tell

More information

(MATH 1203, 1204, 1204R)

(MATH 1203, 1204, 1204R) College Algebra (MATH 1203, 1204, 1204R) Departmental Review Problems For all questions that ask for an approximate answer, round to two decimal places (unless otherwise specified). The most closely related

More information

Elementary Algebra SAMPLE Final Examination Fall 2017

Elementary Algebra SAMPLE Final Examination Fall 2017 Elementary Algebra NAME: SAMPLE Final Examination Fall 2017 You will have 2 hours to complete this exam. You may use a calculator but must show all algebraic work in the space provided to receive full

More information

Math 8 Performance Test

Math 8 Performance Test Name: Class: Date: Math 8 Performance Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1) Which of the following is an irrational number? 300 a. 5 c.

More information

Math Models Final Exam Review

Math Models Final Exam Review Final Exam Review, Page of Name Date Period Math Models Final Exam Review A box contains opals, garnets, and pearls. A jewel is selected at random from the box. Find each probability.. P(the jewel is a

More information

Practice Questions for Math 131 Exam # 1

Practice Questions for Math 131 Exam # 1 Practice Questions for Math 131 Exam # 1 1) A company produces a product for which the variable cost per unit is $3.50 and fixed cost 1) is $20,000 per year. Next year, the company wants the total cost

More information

4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag.

4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag. ALGEBRA 1 Fall 2016 Semester Exam Review Name 1. According to the data shown below, which would be the best prediction of the average cost of a -bedroom house in Georgetown in the year 2018? Year Average

More information

Final Exam Study Guide

Final Exam Study Guide Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long

More information

ALGEBRA I EOC REVIEW PACKET Name 16 8, 12

ALGEBRA I EOC REVIEW PACKET Name 16 8, 12 Objective 1.01 ALGEBRA I EOC REVIEW PACKET Name 1. Circle which number is irrational? 49,. Which statement is false? A. a a a = bc b c B. 6 = C. ( n) = n D. ( c d) = c d. Subtract ( + 4) ( 4 + 6). 4. Simplify

More information

MAT Intermediate Algebra - Final Exam Review Textbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay

MAT Intermediate Algebra - Final Exam Review Textbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay MAT0 - Intermediate Algebra - Final Eam Review Tetbook: Beginning & Intermediate Algebra, 5th Ed., by Martin-Gay Section 2. Solve the equation. ) 9 - ( - ) = 2 Section 2.8 Solve the inequality. Graph the

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

Geometry Pre-Test. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.

Geometry Pre-Test. Name: Class: Date: ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question. Class: Date: Geometry Pre-Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. An equilateral triangle has three sides of equal length. What is the equation

More information

Final Exam Study Aid

Final Exam Study Aid Math 112 Final Exam Study Aid 1 of 33 Final Exam Study Aid Note: This study aid is intended to help you review for the final exam. It covers the primary concepts in the course, with a large emphasis on

More information

Section 8 Topic 1 Comparing Linear, Quadratic, and Exponential Functions Part 1

Section 8 Topic 1 Comparing Linear, Quadratic, and Exponential Functions Part 1 Section 8: Summary of Functions Section 8 Topic 1 Comparing Linear, Quadratic, and Exponential Functions Part 1 Complete the table below to describe the characteristics of linear functions. Linear Functions

More information

Unit Test Linear equations and Inequalities

Unit Test Linear equations and Inequalities Unit Test Linear equations and Inequalities Name: Date: Directions: Select the best answer for the following questions. (2 points each) 7L 1. The steps for solving are: 1) Read the problem and label variables,

More information

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account?

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account? Name: Period: Date: Algebra 1 Common Semester 1 Final Review Like PS4 1. How many surveyed do not like PS4 and do not like X-Box? 2. What percent of people surveyed like the X-Box, but not the PS4? 3.

More information

MAT 135. In Class Assignments

MAT 135. In Class Assignments MAT 15 In Class Assignments 1 Chapter 1 1. Simplify each expression: a) 5 b) (5 ) c) 4 d )0 6 4. a)factor 4,56 into the product of prime factors b) Reduce 4,56 5,148 to lowest terms.. Translate each statement

More information

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account?

4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account? Name: Period: Date: Algebra 1 Common Semester 1 Final Review 1. How many surveyed do not like PS4 and do not like X-Box? 2. What percent of people surveyed like the X-Box, but not the PS4? 3. What is the

More information

4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3

4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3 SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want

More information

7-6 Growth and Decay. Let t = 7 in the salary equation above. So, Ms. Acosta will earn about $37, in 7 years.

7-6 Growth and Decay. Let t = 7 in the salary equation above. So, Ms. Acosta will earn about $37, in 7 years. 1. SALARY Ms. Acosta received a job as a teacher with a starting salary of $34,000. According to her contract, she will receive a 1.5% increase in her salary every year. How much will Ms. Acosta earn in

More information

Page 1 of 10 MATH 120 Final Exam Review

Page 1 of 10 MATH 120 Final Exam Review Page 1 of 1 MATH 12 Final Exam Review Directions Part 1: Calculators will NOT be allowed on this part of the final exam. Unless the question asks for an estimate, give exact answers in completely reduced

More information

Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the school year!

Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the school year! Dear Student: Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the 0-09 school year! This is a fast-paced and rigorous college-preparatory math course

More information

On Your Own. Applications. Unit 1. 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars.

On Your Own. Applications. Unit 1. 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars. Applications 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars. 2 t = 0.5 + 2a, where a represents the area of the grass and t represents the time in hours

More information

ALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER Use the diagram below. 9.3 cm. A = (9.3 cm) (6.2 cm) = cm 2. 6.

ALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER Use the diagram below. 9.3 cm. A = (9.3 cm) (6.2 cm) = cm 2. 6. 1. Use the diagram below. 9.3 cm A = (9.3 cm) (6.2 cm) = 57.66 cm 2 6.2 cm A rectangle s sides are measured to be 6.2 cm and 9.3 cm. What is the rectangle s area rounded to the correct number of significant

More information

Algebra 1 Semester Exam

Algebra 1 Semester Exam Algebra 1 Semester Exam 015-016 30 questions Topics: Expressions, Equations, and Inequalities Functions inear Function Systems of Equations and Inequalities Reporting Category 1: (50% of the Semester Exam)

More information

My Math Plan Assessment #3 Study Guide

My Math Plan Assessment #3 Study Guide My Math Plan Assessment # Study Guide 1. Identify the vertex of the parabola with the given equation. f(x) = (x 5) 2 7 2. Find the value of the function. Find f( 6) for f(x) = 2x + 11. Graph the linear

More information

e. 0(4) f. 8/0 g. 0/15 h. (8/5)(6/4) 48 0 undefined 0

e. 0(4) f. 8/0 g. 0/15 h. (8/5)(6/4) 48 0 undefined 0 1-1 Variables and Expressions 1. Approximately 85 20-ounce plastic bottles must be recycled to produce the fiberfill for a sleeping bag. a. Write an expression for the number of bottles needed to make

More information

My Math Plan Assessment #2 Study Guide

My Math Plan Assessment #2 Study Guide My Math Plan Assessment #2 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4 2. Use factoring to solve the quadratic equation. x 2 + 9x + 1 = 17. Multiply and simplify

More information

ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST

ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST Page 1 ALGEBRA I END-OF-COURSE EXAM: PRACTICE TEST 1. Order the following numbers from least to greatest:, 6, 8.7 10 0, 19 b. 19,, 8.7 100, 6 6, 8.7 10 0,, 19 c. d. 8.7 10 0,, 19, 6, 6, 19, 8.7 100. If

More information

8 th Grade Academic: Fall 2014 Semester Exam Review-Part 1

8 th Grade Academic: Fall 2014 Semester Exam Review-Part 1 Name Date Period 8 th Grade cademic: Fall 2014 Semester Exam Review-Part 1 1. Four schools,,, C, and D, all played the same number of football games this season. School won 70% of its games. School won

More information

Practice Integrated II Final Exam Review

Practice Integrated II Final Exam Review Name: Practice Integrated II Final Exam Review The questions below represent the types of questions you will see on your final exam. Your final will be all multiple choice however, so if you are able to

More information

Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D.

Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D. Name 1. Given the solution (, y), what is the value of y if x + y = 6? 7. The graph of y = x is shown below. 5 D. 6. What are the solutions to the equation x - x = 0? x = - or x = - x = - or x = 1 x =

More information

Algebra I EOC Review (Part 2) NO CALCULATORS

Algebra I EOC Review (Part 2) NO CALCULATORS 1. A Nissan 370Z holds up to 18 gallons of gasoline. If it can travel on 22 miles per gallon in the city, write an equation to model this. 2. Carol wants to make a sculpture using brass and aluminum, with

More information

Pre-Algebra Semester 1 Practice Exam A

Pre-Algebra Semester 1 Practice Exam A . Evaluate y when = 0 and y = 6. 5 6 80. Which epression is equivalent to 5 5 + + + + + 5?. In math class, we follow the order of operations when evaluating epressions. Which is the second operation a

More information

Graphing Quadratic Functions 9.1

Graphing Quadratic Functions 9.1 Quadratic Functions - Graphing Quadratic Functions 9.1 f ( x) = a x + b x + c (also called standard form). The graph of quadratic functions is called a parabola. Axis of Symmetry a central line which makes

More information

3. Find the area for each question below. a. (3x 2)(2x + 5) b. 4. Simplify the expressions below. is equal to 1, what is the value of a?

3. Find the area for each question below. a. (3x 2)(2x + 5) b. 4. Simplify the expressions below. is equal to 1, what is the value of a? Permitted resources: 2018 2019 Algebra 1 Midterm Review FSA Approved calculator Algebra 1 FSA Reference Sheet 1. The expression 13x + 5 represents the number of marbles you have after shopping at the game

More information

Name: Linear and Exponential Functions 4.1H

Name: Linear and Exponential Functions 4.1H TE-18 Name: Linear and Exponential Functions 4.1H Ready, Set, Go! Ready Topic: Recognizing arithmetic and geometric sequences Predict the next 2 terms in the sequence. State whether the sequence is arithmetic,

More information

Statistics 1) The table below shows the area of several states.

Statistics 1) The table below shows the area of several states. EOC Homework Review Packet Statistics 1) The table below shows the area of several states. Delaware has an area of 2000 square miles. Which is true if Delaware is included in the data set? A. The mean

More information

ALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6

ALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6 ALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6 FALL 2014 0 1 Algebra 1 Section 6.1 Notes: Graphing Systems of Equations System of Equations: a set of two or more equations with the same variables, graphed in the

More information

A C E. Answers Investigation 2. Applications. Age (wk) Weight (oz) 1. a. Accept any line that approximates the data. Here is one possibility:

A C E. Answers Investigation 2. Applications. Age (wk) Weight (oz) 1. a. Accept any line that approximates the data. Here is one possibility: Answers Applications 1. a. Accept any line that approximates the data. Here is one possibility: 4. a. Lines will vary. Here is one possibility: b. y = 8.5x 2.5. Students might come up with a simpler model

More information

Linear Functions. Unit 3

Linear Functions. Unit 3 Linear Functions Unit 3 Standards: 8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and

More information

Grade 8. Functions 8.F.1-3. Student Pages

Grade 8. Functions 8.F.1-3. Student Pages THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 8 Functions 8.F.1-3 Student Pages 2012 2012 COMMON CORE CORE STATE STATE STANDARDS ALIGNED ALIGNED MODULES Grade 8 - Lesson 1 Introductory Task

More information

Applications of Systems of Linear Equations

Applications of Systems of Linear Equations 5.2 Applications of Systems of Linear Equations 5.2 OBJECTIVE 1. Use a system of equations to solve an application We are now ready to apply our equation-solving skills to solving various applications

More information

CCGPS Coordinate Algebra. EOCT Review Units 1 and 2

CCGPS Coordinate Algebra. EOCT Review Units 1 and 2 CCGPS Coordinate Algebra EOCT Review Units 1 and 2 Unit 1: Relationships Among Quantities Key Ideas Unit Conversions A quantity is a an exact amount or measurement. A quantity can be exact or approximate

More information

Get Ready. Scatter Plots 1. The scatter plot shows the height of a maple tree over a period of 7 years.

Get Ready. Scatter Plots 1. The scatter plot shows the height of a maple tree over a period of 7 years. Get Ready BLM 4... Scatter Plots. The scatter plot shows the height of a maple tree over a period of 7 years. a) Identify the independent variable and the dependent variable. Describe the relationship

More information

UCS Algebra I Semester 1 Exam

UCS Algebra I Semester 1 Exam US lgebra I Semester 1 Exam Review Guide #1 Name: ate: Hour: 1 Which family of function is not shown below? Quadratic Square Root bsolute Value Exponential 2 What is the constant in the expression 3, 2,

More information

Technology Math Skills Assessment. Practice Test 1

Technology Math Skills Assessment. Practice Test 1 Technology Math Skills Assessment Practice Test . Which of the following is the best description of 3 5 x? a. Monomial b. Binomial c. Polynomial d. Both a and c. Create a table of values for the equation

More information

Chapter 1 Review Applied Calculus 31

Chapter 1 Review Applied Calculus 31 Chapter Review Applied Calculus Section : Linear Functions As you hop into a taxicab in Allentown, the meter will immediately read $.0; this is the drop charge made when the taximeter is activated. After

More information

0818AI Common Core State Standards

0818AI Common Core State Standards 0818AI Common Core State Standards 1 The number of bacteria grown in a lab can be modeled by P(t) = 300 2 4t, where t is the number of hours. Which expression is equivalent to P(t)? 1) 300 8 t 3) 300 t

More information

1) Solve the formula for the indicated variable. P = 2L + 2W for W. 2) Solve the formula for the variable y. 5 = 7x - 8y

1) Solve the formula for the indicated variable. P = 2L + 2W for W. 2) Solve the formula for the variable y. 5 = 7x - 8y Math120 Cumulative Review This is to help prepare you for the 40 question final exam. It is not all inclusive of the material covered in your course. Therefore items not on this review may appear on the

More information

Rate of Change and slope. Objective: To find rates of change from tables. To find slope.

Rate of Change and slope. Objective: To find rates of change from tables. To find slope. Linear Functions Rate of Change and slope Objective: To find rates of change from tables. To find slope. Objectives I can find the rate of change using a table. I can find the slope of an equation using

More information

Please print the following information in case your scan sheet is misplaced:

Please print the following information in case your scan sheet is misplaced: MATH 1100 Common Final Exam FALL 010 December 10, 010 Please print the following information in case your scan sheet is misplaced: Name: Instructor: Student ID: Section/Time: The exam consists of 40 multiple

More information

3.6.1 Building Functions from Context. Warm Up

3.6.1 Building Functions from Context. Warm Up Name: # Honors Coordinate Algebra: Period Ms. Pierre Date: 3.6.1 Building Functions from Context Warm Up 1. Willem buys 4 mangoes each week, and mango prices vary from week to week. Write an equation that

More information

ECM Final Exam Review. 6. Solve: 2x 3y =6 2x 6y =9

ECM Final Exam Review. 6. Solve: 2x 3y =6 2x 6y =9 Name: Date: 1. On January 1, 2000, a car had a value of $15,000. Each year after that, the car s value will decrease by 20 percent of the previous year s value. Which expression represents the car s value

More information

REVIEW PACKET FOR END OF COURSE EXAM

REVIEW PACKET FOR END OF COURSE EXAM Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate

More information

Math 060/Final Exam Review Guide/ / College of the Canyons

Math 060/Final Exam Review Guide/ / College of the Canyons Math 060/Final Exam Review Guide/ 010-011/ College of the Canyons General Information: The final exam is a -hour timed exam. There will be approximately 40 questions. There will be no calculators or notes

More information

2. What are the zeros of (x 2)(x 2 9)? (1) { 3, 2, 3} (2) { 3, 3} (3) { 3, 0, 3} (4) {0, 3} 2

2. What are the zeros of (x 2)(x 2 9)? (1) { 3, 2, 3} (2) { 3, 3} (3) { 3, 0, 3} (4) {0, 3} 2 ALGEBRA 1 Part I Answer all 24 questions in this part. Each correct answer will receive 2 credits. No partial credit will be allowed. For each question, write on the space provided the numeral preceding

More information

Pre-Algebra Chapter 8 Linear Functions and Graphing

Pre-Algebra Chapter 8 Linear Functions and Graphing Pre-Algebra Chapter 8 Linear Functions and Graphing SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD

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

ALGEBRA MIDTERM REVIEW SHEET

ALGEBRA MIDTERM REVIEW SHEET Name Date Part 1 (Multiple Choice): Please show ALL work! ALGEBRA MIDTERM REVIEW SHEET 1) The equations 5x 2y 48 and 3x 2y 32 represent the money collected from school concert ticket sales during two class

More information

Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x. 2) 7x - (3x - 1) = 2. 3) 2x 5 - x 3 = 2 4) 15. 5) -4.2q =

Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x. 2) 7x - (3x - 1) = 2. 3) 2x 5 - x 3 = 2 4) 15. 5) -4.2q = Spring 2011 Name Math 115 Elementary Algebra Review Wednesday, June 1, 2011 All problems must me done on 8.5" x 11" lined paper. Solve. Label any contradictions or identities. 1) -4x + 2(3x - 3) = 5-9x

More information

Introduction to Systems of Equations

Introduction to Systems of Equations Systems of Equations 1 Introduction to Systems of Equations Remember, we are finding a point of intersection x 2y 5 2x y 4 1. A golfer scored only 4 s and 5 s in a round of 18 holes. His score was 80.

More information

A C E. Applications. Applications Connections Extensions. Student 1 Student Below are some results from the bridge experiment in a CMP class.

A C E. Applications. Applications Connections Extensions. Student 1 Student Below are some results from the bridge experiment in a CMP class. A C E Applications Connections Extensions Applications 1. Below are some results from the bridge experiment in a CMP class. Bridge-Thickness Experiment Number of Layers 2 4 6 8 Breaking Weight (pennies)

More information

7 = 8 (Type a simplified fraction.)

7 = 8 (Type a simplified fraction.) Student: Date: Assignment: Exponential and Radical Equations 1. Perform the indicated computation. Write the answer in scientific notation. 3. 10 6 10. 3. 4. 3. 10 6 10 = (Use the multiplication symbol

More information

CHAPTER FIVE. g(t) = t, h(n) = n, v(z) = z, w(c) = c, u(k) = ( 0.003)k,

CHAPTER FIVE. g(t) = t, h(n) = n, v(z) = z, w(c) = c, u(k) = ( 0.003)k, CHAPTER FIVE 5.1 SOLUTIONS 121 Solutions for Section 5.1 EXERCISES 1. Since the distance is decreasing, the rate of change is negative. The initial value of D is 1000 and it decreases by 50 each day, so

More information

1. Simplify by performing the indicated operation: (4 + 8i)(8 + i).

1. Simplify by performing the indicated operation: (4 + 8i)(8 + i). WSU CE Math 1010 REAL Final Review Read each question carefully and show all your work to receive full credit for your answers. The use of a scientific calculator is allowed. 1. Simplify by performing

More information