Study Island. Linear and Exponential Models
|
|
- Esmond Matthews
- 5 years ago
- Views:
Transcription
1 Study Island Copyright 2014 Edmentum - All rights reserved. 1. A company is holding a dinner reception in a hotel ballroom. The graph represents the total cost of the ballroom rental and dinner. 3. In an organism whose environment does not affect cell division, a parent cell divides into two daughter cells. Those two daughter cells each divide into two more cells for a total of four cells in the If those four cells each divide into two more cells, there will be eight cells in the If each of these cells continue to divide in the same manner, how many cells will be in the organism after fourteen divisions? A. 268,435,456 B. 8,192 C. 16,384 D Which function family would be used to solve the following question? Which function represents the data displayed in the graph? f(x) = $7.50x + $ A. f(x) = $625.00x + $7.50 B. f(x) = $0.75x + $ C. f(x) = $625.00x + $0.75 D. 2. The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is given below. C = $3,173 + $31u If the company wants to keep the cost of operation under $6,000 per month, what is the maximum number of units they can produce? A. 91 B. 92 C. 910 D. 911 A rabbit population doubles every year. If the rabbit population starts with 5 rabbits, then how many will there be in 6 years? A. Absolute Value Function Family B. Quadratic Function Family C. Exponential Function Family D. Linear Function Family 5. A pan is heated to 433 F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 71 F. The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes. D = 362e -0.03t What is the approximate temperature of the pan after it has been away from the heat for 20 minutes? A F B F C F D F
2 6. A contract delivery worker is paid $12.00 per hour as well as $0.50 per mile. Assuming a 40-hour work week, which of the following equations below gives the amount of money per week that the worker makes before taxes, M, as a function of the number of miles, m, driven during the week? 9. The graph below represents the bacteria population after t minutes. A. M = m B. M = 12.5m C. M = m D. M = m 7. A car was originally purchased for $25,000. The following equation gives the car's value when it has been driven a total of m thousand miles over a period of t years. If the car has been driven a total of 25,000 miles over a period of 7 years, what is its value? A. $3, B. $1, C. $7, D. $3, The table below represents a linear situation. x f(x) Use this table to construct the function that it represents. A. f(x) = -3x - 4 B. f(x) = -4x - 3 C. f(x) = -4x - 23 D. f(x) = 4x + 15 Construct the function which represents the data displayed in the graph. A. P(t) = 200(2) t B. P(t) = 50(4) t C. P(t) = 50(2) t D. P(t) = 4 t In order to pay back a debt, Mark has set up a bank account. He has asked that 11% of the total amount in the account be withdrawn each month as a payment towards his debt. If Mark started the account with $8,961.00, and has not made any further deposits, what will the approximate balance in the bank account be after 14 months? (Hint: Use the formula for depreciation, y = A(1 - r) t, where A is the initial amount in the account, r is the withdrawal rate in percentage terms, and t is the amount of time that has passed in months.) A. $1, B. $7, C. $1, D. $1, Answers
3 1. A 2. A 3. C 4. C 5. D 6. D 7. D 8. B 9. B 10. C Explanations 1. The graph is a linear function represented by an equation of the form f(x) = mx + b, where m is the rate of change and b is the initial value. First, calculate the rate of change, or slope, between any two points on the graph. In this case, use the points (10, 700) and (30, 850). under $6,000 and a fraction of a unit cannot be made, the maximum number of units they can produce is After zero cell divisions, there is one cell in the 1 = 2 0 After one cell division, there are two cells in the 2 = 2 1 After two cell divisions, there are four cells in the 4 = 2 2 After three cell divisions, there are eight cells in the 8 = 2 3 After x cell divisions, the number of cells in the organism can be represented by the following equation. f(x) = 2 x Next, determine the initial value. The initial value is the value of f(x) when x equals 0. According to the graph, the initial value is $625.00, which is the rental fee for the ballroom. Therefore, the function that represents the graph is f(x) = $7.50x + $ To determine the maximum number of units, substitute $6,000 in for C in the given equation, and then solve for u. $6,000 = $3,173 + $31u $2,827 = $31u u Since the company wants their operating cost to be Therefore, after fourteen cell divisions, there will be 2 14 = 16,384 cells in the 4. Growth that doubles every year is always modeled by an exponential function. Since the problem states that the rabbit population doubles every year, then an equation in the exponential function family would be used to solve this question. 5. First, substitute t = 20 into the formula and solve for D. D = 362e -0.03(20) D F Next, since D is the difference between the temperatures of the pan and of the room, add D to
4 the temperature of the room to find the temperature of the pan. 71 F F = F 6. First, calculate the amount of money the worker will make given a 40-hour work week at $12.00 per hour. (40)($12.00) = $ Then, add this to the amount of money that the worker will get paid per mile to get the total weekly earnings. $ $0.50m Therefore, the equation that gives the amount of money per week that the worker makes before taxes, M, assuming a 40-hour work week as a function of the number of miles, m, driven during the week is given below. M = m 7. First, decide what the variables m and t are equal to. Since the car has been driven 25,000 miles, m = 25. Since the car has been driven for 7 years, t = 7. Next, substitute these values into the given equation, and then use the order of operations to solve for V (-27) = -4 So, the slope is -4. The y-intercept occurs at the point where x is zero. The table does not show an x-value of zero. Instead, use the point-slope form of a line, shown below, where (x 1, y 1 ) represents a point on the line, and m represents the slope. (y - y 1 ) = m(x - x 1 ) Substitute the point (4, -19) and the slope, -4, into the equation. Then, transform the equation so that it is in slope-intercept form. (y - (-19)) = -4(x - 4) y + 19 = -4x + 16 y = -4x y = -4x - 3 Therefore, the function f(x) = -4x - 3 represents the linear situation in the table. 9. Exponential functions are of the form f(x) = a(b) x, where b is greater than zero and not equal to one. Calculate the common ratio. The calculations below use the points (0, 50), (0.5, 100), (1, 200), (1.5, 400), (2, 800), and (2.5, 1,600). The change in the t-values is 0.5, so divide 2 by A linear function can be represented by an equation in slope-intercept form, shown below, where m represents the slope, and b represents the y-intercept. f(x) = mx + b First, determine the slope of the line. Notice that the x-values increase by 1. The difference between the f(x)-values will reveal the slope (-19) = (-23) = -4 So, the common ratio is 4. Thus, the exponential function will have the form P(t) = a(4) t. Use the point (0, 50) to find the value of a. Therefore, the function that represents the data in the graph is P(t) = 50(4) t.
5 10. Evaluate the depreciation formula with the given values of A, r, and t. Therefore, after 14 months, the approximate balance of the bank account will be $1,
Study Island. 1. The table below represents a linear situation. x f(x)
Study Island Copyright 2014 Edmentum - All rights reserved. 4. A company is holding a dinner reception in a hotel ballroom. The graph represents the total cost of the ballroom rental and dinner. 1. The
More informationChapter 4 - Writing Linear Functions
Chapter 4 - Writing Linear Functions Write an equation of the line with the given slope and y-intercept. 1. slope: 3 y-intercept: 6 a. y = 6x + 3 c. y = 6x 3 b. y = 3m + 6 d. y = 3x 6 2. D REF: Algebra
More informationx y
Name Date Period Slope Review 1. Callie and Jeff each have a job delivering newspapers. Jeff gets paid $140 dollars for delivering 350 papers. Callie gets paid $100 for delivering 200 papers. a. Find the
More informationO5C1: 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 informationLesson 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 informationLinear Equations. Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions)
Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions) Copyright 2010 Study Island - All rights reserved. Generation Date: 11/28/2010
More informationWrite each expression as a sum or difference of logarithms. All variables are positive. 4) log ( ) 843 6) Solve for x: 8 2x+3 = 467
Write each expression as a single logarithm: 10 Name Period 1) 2 log 6 - ½ log 9 + log 5 2) 4 ln 2 - ¾ ln 16 Write each expression as a sum or difference of logarithms. All variables are positive. 3) ln
More informationStudy Island. Scatter Plots
Study Island Copyright 2014 Edmentum - All rights reserved. 1. The table below shows the speed of a ball as it rolls down a slope. 3. David wondered if the temperature outside affects his gas He recorded
More informationFUNCTIONS Families of Functions Common Core Standards F-LE.A.1 Distinguish between situations that can be
M Functions, Lesson 5, Families of Functions (r. 2018) FUNCTIONS Families of Functions Common Core Standards F-LE.A.1 Distinguish between situations that can be modeled with linear functions and with exponential
More informationMid Term Review. I. Foundation of Functions. Find the inverse of: Use compositions to determine if these functions are inverses:
Mid Term Review I. Foundation of Functions Find the inverse of: 1. y = 11x + 6 2. y = 3x 21 Use compositions to determine if these functions are inverses: 4. f(x) = 4x + 9 and g(x) = x 9 5. f(x) = 2x +
More informationMathematics Level D: Lesson 2 Representations of a Line
Mathematics Level D: Lesson 2 Representations of a Line Targeted Student Outcomes Students graph a line specified by a linear function. Students graph a line specified by an initial value and rate of change
More informationMath 135 Intermediate Algebra. Homework 3 Solutions
Math Intermediate Algebra Homework Solutions October 6, 007.: Problems,, 7-. On the coordinate plane, plot the following coordinates.. Next to each point, write its coordinates Clock-wise from upper left:
More informationSection 1.1: Functions Given by Formulas
Section 1.1: Functions Given by Formulas Topics: Using function notation Domain Answering questions when given a formula functions Using TI to compute function values and using the Ans feature of the calculator
More informationMath 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 informationAlgebra 2 College 2013 Midterm Review. Solve each equation: 2. -4(24 + 8y) = n 24 = 14 30n 4. 5x x = x 8.
Algebra 2 College 2013 Midterm Review Name: 1. Dan paid a total of $25.80 last month for his international calls. He makes international calls only to England. Dan pays $0.06 per minute in addition to
More information4x 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 informationAlgebra 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 informationPractice 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 informationMidterm Review Packet
Algebra 1 CHAPTER 1 Midterm Review Packet Name Date Match the following with the appropriate property. 1. x y y x A. Distributive Property. 6 u v 6u 1v B. Commutative Property of Multiplication. m n 5
More informationComplete Week 18 Package
Complete Week 18 Package Jeanette Stein Table of Contents Unit 4 Pacing Chart -------------------------------------------------------------------------------------------- 1 Day 86 Bellringer --------------------------------------------------------------------------------------------
More informationName: Class: Date: Unit 1. Thinking with Mathematical Models Investigation 2: Linear Models & Equations. Practice Problems
Unit 1 Thinking with Mathematical Models Investigation 2: Linear Models & Equations Practice Problems Directions: Please complete the necessary problems to earn a maximum of 7 points according to the chart
More informationAlgebra 1R/H Regents Review 7. x 1, for which value of x is
Algebra 1R/H Regents Review 7 NAME Date ( ) = x 2 2x 8 and g ( x) = 1 4 f ( x) = g ( x)? (Use 2 nd calc intersect on the graph.) 152) If f x (1) 1.75 and 1.438 (3) 1.438 and 0 (2) 1.75 and 4 (4) 4 and
More informationChapter 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 informationChapter 2 Functions and Graphs
Chapter 2 Functions and Graphs Section 5 Exponential Functions Objectives for Section 2.5 Exponential Functions The student will be able to graph and identify the properties of exponential functions. The
More informationIntermediate Algebra Final Exam Review
Intermediate Algebra Final Exam Review Note to students: The final exam for MAT10, MAT 11 and MAT1 will consist of 30 multiple-choice questions and a few open-ended questions. The exam itself will cover
More information= -2, = 4, = 2 (NO CALCULATORS)
CHAPTER 7 STUDY GUIDE Name Date Block Evaluate each expression for x = -2, y = 4, and z = 2 (NO CALCULATORS) 1) 4x 1 2) 2xy 2 z 2 3) 5x 4 y 4) x 3 yz 1 Simplify 5) m 5 m 8 m 6) n 5 p n 8 p 5 7) 6x5 3(x
More informationUnit 4. Exponential Function
Unit 4. Exponential Function In mathematics, an exponential function is a function of the form, f(x) = a(b) x + c + d, where b is a base, c and d are the constants, x is the independent variable, and f(x)
More information3. If 4x = 0, the roots of the equation are (1) 25 and 25 (2) 25, only (3) 5 and 5 (4) 5, only 3
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 statement or question, choose the word or expression that,
More informationWrite the equation of the given line in slope-intercept form and match with the correct alternate form. 10. A
Slope & y-intercept Class Work Identify the slope and y-intercept for each equation 1. y = 3x 4 2. y = 2x 3. y = 7 4. x = 5 5. y = 0 6. y 3 = 4(x + 6) 7. y + 2 = 1 (x + 6) 8. 2x + 3y = 9 9. 4x 7y = 14
More informationSection 5.6. Applications and Models: Growth and Decay; Compound
Section 5.6 Applications and Models: Growth and Decay; Compound Interest Exponential Growth A quantity that experiences exponential growth will increase according to the equation P(t) = P 0 e kt t is the
More informationALGEBRA 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 information3. A beam or staircase frame from CSP costs $2.25 for each rod, plus $50 for shipping and handling.
Pg. 13: #3 3. A beam or staircase frame from CSP costs $2.25 for each rod, plus $50 for shipping and handling. a. Complete the following table to show the costs for beams of different lengths. Beam Length
More information7-6 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 informationObserve. Find the average rate of change of f for 2.2 x 6.1.
Observe Find the average rate of change of f for 2.2 x 6.1. Observe Give two different intervals on which f(x) / x = 0. Observe What is the average rate of change of g between x = 2.2 and x = 6.1? What
More informationLecture Notes. Applied Mathematics for Business, Economics, and the Social Sciences (4th Edition); by Frank S. Budnick
1 Lecture Notes Applied Mathematics for Business, Economics, and the Social Sciences (4th Edition); by Frank S. Budnick 2 Chapter 2: Linear Equations Definition: Linear equations are first degree equations.
More informationMidterm: Wednesday, January 23 rd at 8AM Midterm Review
Name: Algebra 1 CC Period: Midterm: Wednesday, January 23 rd at 8AM Midterm Review Unit 1: Building Blocks of Algebra Number Properties (Distributive, Commutative, Associative, Additive, Multiplicative)
More informationMath 101: Final Exam Review Sheet
Math 101: Final Exam Review Sheet (Answers are at the end.) Exam Coverage: Everything we learned in the course. Exam Date: Friday, December 11, 2015 Exam Time: 10:30 am 12:30 pm (Arrive at least 10 minutes
More information1. How many x-intercepts does the exponential function f(x) = 2(10) x have? B. 1 C. 2 D. 3
Multiple Choice 1. How many x-intercepts does the exponential function f(x) = 2(10) x have? A. 0 B. 1 C. 2 D. 3 2. How many y-intercepts does the exponential function f(x) = (5) x have? A. 0 B. 1 C. 2
More informationAlgebra 1. Functions and Modeling Day 2
Algebra 1 Functions and Modeling Day 2 MAFS.912. F-BF.2.3 Which statement BEST describes the graph of f x 6? A. The graph of f(x) is shifted up 6 units. B. The graph of f(x) is shifted left 6 units. C.
More information4.2 write equations from 1 point and slope ink.notebook. November 14, page write equation from slope and a point. page 142.
4.2 write equations from 1 point and slope ink.notebook page 141 4.2 write equation from slope and a point page 142 Lesson Objectives Standards Lesson Notes page 143 4.2 Write Equations From 1 Point And
More informationName: 1. 2,506 bacteria bacteria bacteria bacteria. Answer: $ 5. Solve the equation
Name: Print Close During a lab experiment, bacteria are growing continuously at an exponential rate. The initial number of bacteria was 120, which increased to 420 after 5 days. If the bacteria continue
More informationQuestion 1: y= 2( ) +5 y= The line intersect the circle at points (-1.07, 2.85) and (-3.73,-2.45)
1 1 1 1 1 1 Question 1: At what points (x,y) does the line with equation y = x+5 intersect the circle with radius 3 and center (-, 0)? The equation of the circle is (x + ) + y = 3 We can then substitute
More informationMATH 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#2 Points possible: 1. Total attempts: 2 An exponential function passes through the points (0, 3) and (3, 375). What are the
Week 9 Problems Name: Neal Nelson Show Scored View #1 Points possible: 1. Total attempts: 2 For each table below, could the table represent a function that is linear, exponential, or neither? f(x) 90 81
More informationI can Match each mathematical sentence on the right with its translation on the left. Define the variable(s). 1.
Day 1 & 2-4.1.1 Systems of equations Defining Variables Name: I can. 4-1. Match each mathematical sentence on the right with its translation on the left. Define the variable(s). 1. 2z + 12 = 30 A. A zoo
More informationReview for the Algebra EOC
Review for the Algebra EOC The test is Thursday, January 26 th, 2017 The answer key for this review booklet can be found at: www.mrshicklin.pbworks.com 1. A 1,500-gallon tank contains 200 gallons of water.
More informationAlgebra Supplement Homework Packet #1
Algebra Supplement Homework Packet #1 Day 1: Fill in each blank with one of the words or phrases listed below. Distributive Real Reciprocals Absolute value Opposite Associative Inequality Commutative Whole
More informationSEMESTER 1 EXAM REVIEW PACKET
Expressions, Equations, and Inequalities: - Translating and evaluating - Solving equations, proportions and inequalities - Literal equations (rearranging for a given variable) - Justifying the steps in
More informationSkills Practice Skills Practice for Lesson 1.1
Skills Practice Skills Practice for Lesson. Name Date Tanks a Lot Introduction to Linear Functions Vocabulary Define each term in your own words.. function 2. linear function 3. independent variable 4.
More information4. 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 informationG.3 Forms of Linear Equations in Two Variables
section G 2 G. Forms of Linear Equations in Two Variables Forms of Linear Equations Linear equations in two variables can take different forms. Some forms are easier to use for graphing, while others are
More informationWrite the equation of the given line in slope-intercept form and match with the correct alternate form. 10. A
Slope & y-intercept Class Work Identify the slope and y-intercept for each equation 1. y = 3x 4 2. y = 2x 3. y = 7 m = 3 b = 4 m = 2 b = 0 m = 0 b = 7 4. x = 5 5. y = 0 6. y 3 = 4(x + 6) m = undef b =
More informationFUNCTIONS PRACTICE. If one Jumbo Burger costs 2.15, what is the cost, in pence, of one regular coke?
FUNCTIONS PRACTICE 1. At Jumbo s Burger Bar, Jumbo burgers cost J each and regular cokes cost C each. Two Jumbo burgers and three regular cokes cost 5.95. Write an equation to show this. If one Jumbo Burger
More informationFall IM I Exam B
Fall 2011-2012 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
More information3) y = - 1 x + 2 and state the intercept(s), if any.
Chapter 1, Sections 1-3 Review Match the story with the correct figure. 1) Mark started out by walking up a hill for minutes. For the next minutes he walked down a steep hill to an elevation lower than
More informationis all real numbers.
Math 140 Spring 2017 Suggested Final Review Problems 1. Is each of the following statements true or false? Explain. (a) If f(x) = x 2, then f(x + h) = x 2 + h 2. (b) If g(x) = 3 x, then g(x) can never
More informationUsing Linear Equations to Solve Problems
Chapter 5: Writing Linear Equations Sections 1-4 Name Algebra Notes Using Linear Equations to Solve Problems Slope-Intercept Point Slope Standard Form y = mx + b y- y 1 = m ( x = x 1 ) Ax + By = C So,
More information0814AI Common Core State Standards
0814AI Common Core State Standards 1 Which statement is not always true? 1) The product of two irrational numbers is irrational. 2) The product of two rational numbers is rational. 3) The sum of two rational
More information3-3 Writing Functions
Example 1: Using a Table to Write an Equation Determine a relationship between the x- and y-values. Write an equation. x y 5 10 15 20 1 2 3 4 Step 1 List possible relationships between the first x or y-values.
More informationALGEBRA I END-of-COURSE PRACTICE
1. Which graph is the solution to the inequality A. 2 x 6 B. C. D. 2. Which of the following tables does not represent a functional relationship? Division of Mathematics, Science, and Advanced Academic
More informationNAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve = 6 3v = -3(c + 5)
FINAL EXAM REVIEW, p. 1 NAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve. 1. 24 = 6 3v 2. 12 = -3(c + 5) 3. 5 2(x 3) = 63 4. 7x + 2(x - 5) = 4(x + 8) 5. r 1 10 3 2 6. x 1 2x 2 5 4 Write an equation,
More informationChapter 5: Writing Linear Equations Study Guide (REG)
Chapter 5: Writing Linear Equations Study Guide (REG) 5.1: Write equations of lines given slope and y intercept or two points Write the equation of the line with the given information: Ex: Slope: 0, y
More informationCOLLEGE ALGEBRA. Linear Functions & Systems of Linear Equations
COLLEGE ALGEBRA By: Sister Mary Rebekah www.survivormath.weebly.com Cornell-Style Fill in the Blank Notes and Teacher s Key Linear Functions & Systems of Linear Equations 1 2 Slope & the Slope Formula
More informationGeometry Placement Exam Review Revised 2017 Maine East High School
Geometry Placement Exam Review Revised 017 Maine East High School The actual placement exam has 91 questions. The placement exam is free response students must solve questions and write answer in space
More informationLINEAR EQUATIONS Modeling Linear Equations Common Core Standards
E Linear Equations, Lesson 1, Modeling Linear Functions (r. 2018) LINEAR EQUATIONS Modeling Linear Equations Common Core Standards F-BF.A.1 Write a function that describes a relationship between two quantities.
More informationALGEBRA I SEMESTER EXAMS PRACTICE MATERIALS SEMESTER (1.1) Examine the dotplots below from three sets of data Set A
1. (1.1) Examine the dotplots below from three sets of data. 0 2 4 6 8 10 Set A 0 2 4 6 8 10 Set 0 2 4 6 8 10 Set C The mean of each set is 5. The standard deviations of the sets are 1.3, 2.0, and 2.9.
More informationPractice 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 informationGiven the following slopes and intercepts, write the linear equation. Thinking with Mathematical Models. Investigation 2.
September 01, 2016 Bell Ringer: Given the following slopes and intercepts, write the linear equation. A) m = 3/2 b = 9 B) m = -7 b=0 C) m = -1 b=3 D) m = 0 b = -6 Thinking with Mathematical Models Investigation
More informationMATHS S4 Credit Course CHECKLIST
St Ninian s High School MATHS S Credit Course CHECKLIST I understand this part of the course = I am unsure of this part of the course = I do not understand this part of the course = Name Class Teacher
More information2007 First-Class Mail Rates for Flats* Weight (oz) Rate (dollars) Weight (oz) Rate (dollars)
Lesson 3-9 Step Functions BIG IDEA Step functions have applications in many situations that involve rounding. In 2007, the U.S. postage rate for first class flats (certain large envelopes) was $0.70 for
More informationIn #1 and 2, use inverse operations to solve each equation. 2.
In #1 and 2, use inverse operations to solve each equation. 1. 3x + 12 + 5x = 7 2. 1 (4x + 10) = x 5 2 3. Alex and Alyssa both have savings accounts. Alex has $515 and saves $23 per month. Alyssa has $725
More informationIM1: UNIT 3. HOMEWORK PACKET
IM1: UNIT 3. HOMEWORK PACKET Week 1 Name: Period: Day 1: Write an equation for each situation. Then solve the equation. Show your work. 1) DVDs bought online cost $12 each, plus a shipping fee of $5. The
More informationRe: 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 informationP.4 Lines in the Plane PreCalculus
P.4 Lines in the Plane PreCalculus P.4 LINES IN THE PLANE Learning Targets for P.4 1. Calculate Average Rate of Change between 2 points 2. Write the equation of a line in any form (point-slope, slope intercept
More informationUnit 3 Multiple Choice Test Questions
Name: Date: Unit Multiple Choice Test Questions MCC9.F.IF. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one
More informationAlgebra 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 informationAlgebra: Unit 3 Review
Name: Date: Class: Algebra: Unit 3 Review 1) A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing
More informationName: 2016 Algebra 1 Final Exam Review-GL Period:
Name: 06 Algebra Final Exam Review-GL Period:. A regular polygon s perimeter is a multiple of the side length. For a square, the relationship between the perimeter, p, and the side length, s, is described
More informationQuestions # 1-53 Provide review for the Mid-Term Questions # Provide review for the Final
Central Carolina Technical College MAT 031 - Developmental Math Exam Review Questions # 1-53 Provide review for the Mid-Term Questions # 1-105 Provide review for the Final SHORT ANSWER. Write the word
More informationGEOMETRY (and Honors)
GEOMETRY (and Honors) Welcome to Geometry! Geometry will be challenging but rewarding!! This full year course requires that everyone work hard and study for the entirety of the class. You will need a large
More informationPractice - TAKS OBJECTIVE 1 & 2. 1) Which inequality best describes the graph shown below?
Name: Period Practice - TAKS OBJECTIVE 1 & 2 1) Which inequality best describes the graph shown below? A y 2x B y x 2 C y 2x 2 D y x 2 2) If y is a function of x in the equation y = x 2 9, which statement
More informationYou identified, graphed, and described several parent functions. (Lesson 1-5)
You identified, graphed, and described several parent functions. (Lesson 1-5) Evaluate, analyze, and graph exponential functions. Solve problems involving exponential growth and decay. algebraic function
More informationLogarithmic and Exponential Equations and Inequalities College Costs
Logarithmic and Exponential Equations and Inequalities ACTIVITY 2.6 SUGGESTED LEARNING STRATEGIES: Summarize/ Paraphrase/Retell, Create Representations Wesley is researching college costs. He is considering
More informationPart 1 1 st 6weeks material
Name Date Period Part 1 1 st 6weeks material 1. Write an expression that can be used to determine the number of blocks in the n th figure. 2. Write an expression to represent the sequence below: 5, 8,
More informationFundamentals. Copyright Cengage Learning. All rights reserved.
Fundamentals Copyright Cengage Learning. All rights reserved. 1.6 Modeling with Equations Copyright Cengage Learning. All rights reserved. Objectives Making and Using Models Problems About Interest Problems
More informationFunction: State whether the following examples are functions. Then state the domain and range. Use interval notation.
Name Period Date MIDTERM REVIEW Algebra 31 1. What is the definition of a function? Functions 2. How can you determine whether a GRAPH is a function? State whether the following examples are functions.
More informationMCF 3M Practice Exam. A7. For the quadratic function y = (x - 4)(x - 8), the coordinates of the vertex are: a. (4, 8) b. (6, 0) c. (6, 22) d.
MCF 3M Practice Exam This is a practice exam. It does not cover all the material in this course and should not be the only review that you do in preparation for your final exam. Your exam may contain questions
More informationAlgebra 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 informationALGEBRA 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#2. Be able to identify what an exponential decay equation/function looks like.
1 Pre-AP Algebra II Chapter 7 Test Review Standards/Goals: G.2.a.: I can graph exponential and logarithmic functions with and without technology. G.2.b.: I can convert exponential equations to logarithmic
More informationAlgebra II. Slide 1 / 261. Slide 2 / 261. Slide 3 / 261. Linear, Exponential and Logarithmic Functions. Table of Contents
Slide 1 / 261 Algebra II Slide 2 / 261 Linear, Exponential and 2015-04-21 www.njctl.org Table of Contents click on the topic to go to that section Slide 3 / 261 Linear Functions Exponential Functions Properties
More informationAlgebra 1 Fall Review
Name Algebra 1 Fall Review 2013-2014 Date 1. Write an inequality to best represent the graph shown at right. (A.1.D.) m: b: inequality: 2. Write an inequality to best describe the graph shown at right.
More informationUNIT 2: REASONING WITH LINEAR EQUATIONS AND INEQUALITIES. Solving Equations and Inequalities in One Variable
UNIT 2: REASONING WITH LINEAR EQUATIONS AND INEQUALITIES This unit investigates linear equations and inequalities. Students create linear equations and inequalities and use them to solve problems. They
More informationSEMESTER 1 EXAM REVIEW PACKET
SEMESTER 1 EXAM REVIEW PACKET Expressions, Equations, and Inequalities: - Translating and evaluating - Solving equations, proportions and inequalities - Literal equations (rearranging for a given variable)
More informationThe point is located eight units to the right of the y-axis and two units above the x-axis. A) ( 8, 2) B) (8, 2) C) ( 2, 8) D) (2, 8) E) ( 2, 8)
Name: Date: 1. Find the coordinates of the point. The point is located eight units to the right of the y-axis and two units above the x-axis. A) ( 8, ) B) (8, ) C) (, 8) D) (, 8) E) (, 8). Find the coordinates
More informationAlgebra 1 Hour Final Exam Review Days. Complete and On Time 5 points
Semester Final Exam Review Packet Name Algebra 1 Hour Final Exam Review Days Assigned on Assignment 6/1 Unit 5 and Unit 6, 1-39 Complete and On Time 5 points Complete and Late 4 points At Least 50% Complete.5
More informationChapter 2: Linear Functions
Chapter 2: Linear Functions Chapter one was a window that gave us a peek into the entire course. Our goal was to understand the basic structure of functions and function notation, the toolkit functions,
More information0115AI Common Core State Standards
0115AI Common Core State Standards 1 The owner of a small computer repair business has one employee, who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) = 8600
More informationInverse Functions. Definition 1. The exponential function f with base a is denoted by. f(x) = a x
Inverse Functions Definition 1. The exponential function f with base a is denoted by f(x) = a x where a > 0, a 1, and x is any real number. Example 1. In the same coordinate plane, sketch the graph of
More informationEquations and Inequalities in One Variable
Name Date lass Equations and Inequalities in One Variable. Which of the following is ( r ) 5 + + s evaluated for r = 8 and s =? A 3 B 50 58. Solve 3x 9= for x. A B 7 3. What is the best first step for
More information