Review Document MTH
|
|
- Beverley Phoebe Moore
- 5 years ago
- Views:
Transcription
1 Review Document MTH Created by Martine Blais Commission scolaire des Premières-Seigneuries Mai 2010 Translated by Marie-Hélène Lebeault November 2017 Producing an algebraic model 1. How do you go about producing an algebraic model? What steps should you follow? 2. What should you always identify when producing an algebraic model? 1
2 A few algebraic models seen in this class 3. Which algebraic model lets you calculate the weekly salary of an employee who earns $12 per hour? 4. Which algebraic model lets you calculate the weekly salary of a waitress who earns $9 per hour plus an average of 15% in commissions? 5. Which algebraic model lets you establish a relation between the distance, speed, and time? a. b. c. 2
3 6. Which algebraic model lets you calculate the cost of gas, taking into account gas consumption and the distance traveled, if gas is sold at $1.03 per liter? Image Office 7. Which algebraic model lets you calculate the weekly salary of a waitress who earns $9 per hour plus a $25 commission on each sale? 8. Which algebraic model lets you calculate the cost of buying a car if there is a 10% rebate and that you must pay $500 fee for preparation? 9. Which algebraic model lets you calculate the cost of a taxi ride, if the base rate is $3.30, to which you add $1.60 per km and $0.60 per minute of waiting? 3
4 Proportionality Situations Variables can be directly proportional, inversely proportional or nonproportional. Directly Proportional Variables 10. What can you say about directly proportional variables? 11. When one of the directly proportional variables is multiplied or divided by a number, what happens to the other variable? 12. Provide an example of directly proportional variables. 13. How can you tell if variables are directly proportional when looking at an algebraic model? 4
5 14. How can you tell if variables are directly proportional when looking at a real-life situation? Inversely Proportional Variables 15. What can you say about inversely proportional variables? 16. When one of the inversely proportional variables is multiplied or divided by a number, what happens to the other variable? 17. Provide an example of directly proportional variables. 5
6 18. How can you tell if variables are inversely proportional when looking at an algebraic model? 19. How can you tell if variables are inversely proportional when looking at a real-life situation? Variables that are not proportional 20. What can you say about variables that are not proportional? 21. When one of the non-proportional variables is multiplied or divided by a number, what happens to the other variable? 6
7 22. Provide an example of non-proportional variables. 23. How can you tell if variables are non-proportional when looking at an algebraic model? 24. How can you tell if variables are non-proportional when looking at a reallife situation? 7
8 Types of Algebraic Models Name the type of algebraic model that can be produced on the following situations and produce the corresponding algebraic model. Answer Choices: Linear Equation Proportion (directly proportional variables) Proportion (inversely proportional variables) 25. A plumber charges $80 per call, $75 per hour. Image Office 26. Four worker put up a support wall in 3 days. If there were six workers, how long would it take? 8
9 27. A salesman earns $12 per hour plus an 8% commission on all sales. Image Office 28. When borrowing $1,000, we pay $70 in interest. How much interest would be paid if we borrow $700? 9
10 29. If it takes 5 hours to drive to the beach at 95 km/h, how long would it take if we drove at 100 km/h? 30. According to a survey, 80% of students at an Adult Education Center have a cell phone. If 300 students at the center have a cell phone, how many don t have one? Image Office 10
11 Solving Equations Solving an equation means finding the value of a variable so you can verify the equation. Here s an example: 1 7x 3 x + = x x = x + 6 = 28x x - 28x = x = 3 8 x 3 = 8 8 x = Here s how to proceed when there are parentheses in the equation: 3 (2x - 7) = 5 - (-x + 4) 6x - 21 = 5 + x x - 21 = 1+ x 6 x - x = x = 22 5 x = x = 4,4 11
12 When the variable we are looking for is squared, solving the equation ends with a square root. Here is how to proceed: 2 2 a + b = a a c = = 49 a 2 = a 2 = 33 a = 33 a = 5,74 When an equation is proportional, we use the Fundamental Law of proportions to solve it. Here s an example: 2x + 5 x = (2x + 5) = 6 x 4 x + 10 = 6x 4x - 6x = -10-2x = -10-2x - 2 = x = 5 12
13 Using the algebraic models you produced in the previous number, solve the equations to answer the following questions. 31. A plumber charges $80 per call, $75 per hour. How many hours did he work if the bill came to $492.50? 32. Four worker put up a support wall in 3 days. If there were six workers, how long would it take? 13
14 33. A salesman earns $12 per hour plus an 8% commission on all sales. If he earned $620 for a 35-hour work week, how much where his sales for that week? 34. When borrowing $1,000, we pay $70 in interest. How much interest would be paid if we borrow $700? 14
15 35. If it takes 5 hours to drive to the beach at 95 km/h, how long would it take if we drove at 100 km/h? Geometry Situations Image Office 36. What is a geometry situation? 37. In a situation involving geometric concepts, what steps should you take to make your work easier faire? 15
16 Geometry Concepts 38. Name the geometric concept Finding the outline of an object? Covering a floor with tiles? Determining how much liquid is in a glass? Painting the walls of a room? Determining how much cardboard is required to make a box? 39. How do you calculate the volume of a solid when you know the area of its base? The Pythagorean Theorem In a right triangle, the sum of the squares of the sides on the sides of the right angle is equal to the square of the hypotenuse. This is how you write the Pythagorean Theorem: 2 2 a + b = where a and b are the measures of the sides on either side of the right angle and c is the measure of the hypotenuse. c We use the Pythagorean Theorem to find the of a side in a right triangle as well as 16
17 41. Name the flat figures studied in class, draw a sketch for each, and write the formulas for perimeter (circumference for circle) and area. Name Sketch Perimeter Area 17
18 42. Name the solids studied in class, draw a sketch for each, and write the formulas for volume, lateral area and total area. Name Sketch Volume Lateral Area Total Area 18
19 Units of Measure 43. Which measuring units are used to calculate The perimeter of a figure? The area of a figure, the lateral area or the total area of a solid? The volume or the capacity of a solid? 44. How do you convert feet into metres? 45. Convert 2,3m into centimetres. 19
20 46. Convert 4,5 km into metres. 47. Convert 18 inches into centimetres. Using Formulas 48. How do you go about solving a problem that requires the use of a formula? What steps and which processes can help you? 49. What should you check before using a formula? 20
21 Solve the following problems using an algebraic model: 50. What is the diameter of a cylindrical silo 10 m high that can hold m 3 of fodder? If a silo of the same volume had a base of 25 m 2, what would be its height? Image Office 21
22 51. To convert Celsius into degrees Fahrenheit, we use the following C F - 32 formula: =. Use this formula to convert 72 F into C. Then, 5 9 convert -10 C into F. 22
23 52. Julie wants to make a rectangular patio. She plants stakes that indicate where the corners of the patio will be and she walks around with a 14-meter rope. The longest side of the future patio is 1 m longer than the shorter side. Using an algebraic model, determine the measure of the sides of the figure. 23
24 53. To enclose his field, Max used 80 m of fence. If the ground is three times wider than deep, what is the area of the land? 24
25 54. A swimming pool has a diameter of 7 m. After 2 hours of filling with a hose, the water reaches a height of 30 cm. How many liters of water does it contain at this time? How long will the filling take in all if the water is to reach 1.2 m in height? If two hoses with the same flow rate were used for filling, how long would the filling take in total? Image Office 25
Name Date Class. 5 y x + 7
Name Date Class 7.EE.1 SELECTED RESPONSE Select the correct answer. 1. What property allows the expression.7x + 10. + 15.3x 8.x + 15.6 to be simplified to the equivalent expression 0x + 10. 8.x + 15.6?
More informationAFDA Review of Equations
Identify the choice that best completes the statement or answers the question. 1. Which expression correctly represents the area of the rectangle above? a. x² + 2 b. 6(x + 2) c. (x + 2)(x + 6) d. 8x 2.
More informationMaterials for assessing adult numeracy
Materials for assessing adult numeracy Number Task The population of Wales is approximately Write this in numbers in the box. million. What is the value of the 7 in this number? Write your answer in words.
More information= = =
. D - To evaluate the expression, we can regroup the numbers and the powers of ten, multiply, and adjust the decimal and exponent to put the answer in correct scientific notation format: 5 0 0 7 = 5 0
More informationName Class Date. Simplifying Algebraic Expressions Going Deeper. Combining Expressions
Name Class Date 1-5 1 Simplifying Algebraic Expressions Going Deeper Essential question: How do you add, subtract, factor, and multiply algebraic expressions? CC.7.EE.1 EXPLORE Combining Expressions video
More informationDear Parents, Guardians, and Students:
Dear Parents, Guardians, and Students: During the summer, students who will be enrolled in Algebra net year are required to complete a portfolio of mathematics problems. The purpose of this eperience is
More informationName: Period: Date: Algebra 1 1st Semester Review Which best describes the solution(s) for this equation? 3 ( 8x 12) = 33 2x
Name: Period: ate: lgebra 1 1st Semester Review 2011 1 Which algebraic expression could NOT match the pictorial representation below? 5 Which best describes the solution(s) for this equation? 3 ( 8x 12)
More informationSection 2.2 Objectives
Section 2.2 Objectives Solve multi-step equations using algebra properties of equality. Solve equations that have no solution and equations that have infinitely many solutions. Solve equations with rational
More informationx 2 + x + x 2 x 3 b. x 7 Factor the GCF from each expression Not all may be possible. 1. Find two numbers that sum to 8 and have a product of 12
Factor the GCF from each expression 4 5 1. 15x 3x. 16x 4 Name: a. b. 4 7 3 6 5 3. 18x y 36x y 4x y 5 4. 3x x 3 x 3 c. d. Not all may be possible. 1. Find two numbers that sum to 8 and have a product of
More informationIndiana Core 40 End-of-Course Assessment Algebra I Blueprint*
Types of items on the Algebra I End-of-Course Assessment: Multiple-choice 1 point per problem The answer to the question can be found in one of four answer choices provided. Numeric response 1 point per
More informationReview Problems for 8th Grade Algebra 1 Honors
Page 1 of 6 Review Problems for 8th Grade Algebra 1 Honors Chapter 1, Section 1.1 Evaluate each expression 1. 2. 3. 4. A swimming pool is 5m wide and long. A concrete walk that is 2m wide surrounds the
More information2.1 Simplifying Algebraic Expressions
.1 Simplifying Algebraic Expressions A term is a number or the product of a number and variables raised to powers. The numerical coefficient of a term is the numerical factor. The numerical coefficient
More informationUsing Graphs to Relate Two Quantities
- Think About a Plan Using Graphs to Relate Two Quantities Skiing Sketch a graph of each situation. Are the graphs the same? Explain. a. your speed as you travel from the bottom of a ski slope to the top
More informationSOL Review Items. 7.1 The student will. 7.1a 1. Which fraction and decimal are equivalent to A. and B. and C. and D. and 0.
7.1 The student will a) investigate and describe the concept of negative exponents for powers of ten; b) determine scientific notation for numbers greater than zero; c) compare and order fractions, decimals,
More informationLesson Lesson Tutorials
7.4 Lesson Lesson Tutorials An equation in two variables represents two quantities that change in relationship to one another. A solution of an equation in two variables is an ordered pair that makes the
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 informationSECTION 6-3 Systems Involving Second-Degree Equations
446 6 Systems of Equations and Inequalities SECTION 6-3 Systems Involving Second-Degree Equations Solution by Substitution Other Solution Methods If a system of equations contains any equations that are
More information+ 100 = What is the value of in the expression below? A B C D
1. What is the value of in the expression below? C 2. Max bought a 100-page journal and writes 1 page per day. Pat bought a 200-page journal and writes 3 pages per day. The equation below can be solved
More informationPre-Algebra Homework 10 Geometry: Solutions
Pre-Algebra Homework 10 Geometry: Solutions Use π = 3 for your calculations 1. I am building a ramp. The length of the ramp along the ground is 12 meters and it s 5 meters high and 5 meters wide. I want
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 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 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 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 information1. The area of the surface of the Atlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation?
1. The area of the surface of the tlantic Ocean is approximately 31,830,000 square miles. How is this area written in scientific notation? 3.183 x 10 4 B 3.183 x 10 5 C 3.183 x 10 6 D 3.183 x 10 7 2. In
More informationThe first thing we want to do is review basic solving of equations. We will start with linear equations.
R.1 Equations The first thing we want to do is review basic solving of equations. We will start with linear equations. A few key ideas to remember is when solving equations we are usually trying to get
More information12 x x = = 3m x + 2 = a 6 = 5a = 8 10b. 9. 3(m 4) + 2m = (h 3) +5h = 5(2 + h) Name:
Sec. Solving Algebraic Equations Find the value for the variable that makes the statement true. (SHOW WORK NEATLY). y 4 + 5y = 4 3y + 5. 3g 6 + g + = 8g Name: I. Eliminate parenthesis by distributing.
More informationPrecalculus Unit 2 - Worksheet 1 1. The relation described by the set of points {( ) ( ) ( ) ( )} is NOT a function. Explain why.
Precalculus Name Unit 2 - Worksheet 1 1. The relation described by the set of points {( ) ( ) ( ) ( )} is NOT a function. Explain why. For Questions 2-4, use the graph at the right. 2. Explain why this
More informationGrade 7 Mathematics Test Booklet
Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,
More informationMiddle School Math 2 Grade 7
Unit Activity Correlations to Common Core State Standards Middle School Math 2 Grade 7 Table of Contents Ratios and Proportional Relationships 1 The Number System 2 Expressions and Equations 5 Geometry
More informationMathematics 10C. UNIT FIVE Linear Functions. Unit. Student Workbook. y 2. - y 1 x 2. rise. m = - x 1 run. y = mx + b. m = m original. 1 moriginal.
Mathematics 10C Student Workbook Unit m = y 2 - y 1 x 2 - x 1 run rise Lesson 1: Slope of a Line Approximate Completion Time: 2 Days y = mx + b Lesson 2: Slope-Intercept Form Approximate Completion Time:
More informationName. Algebra I Period
Name Algebra I Period 1 Simplify the following expression: 1 (8 2 4) 8 4 2 4 4 In slope-intercept form, what is the equation of a line with an x-intercept of -3 and a y-intercept of 5? Record your answer
More informationHALF YEARLY EXAMINATIONS 2015/2016
FORM 4 SECONDARY SCHOOLS HALF YEARLY EXAMINATIONS 2015/2016 MATHS NON-CALCULATOR PAPER Track 3 Time: 20 min Name: Non-Calculator Paper Class: Answer all questions. Each question carries 1 mark. Question
More informationPatterns and Relations Unit Review
Patterns and Relations Unit Review 1. In the equation, determine the value of R when w = 13.. The pattern in this table continues. Write an equation that relates the number of squares to the figure number.
More information3.4 Solving Quadratic Equations by Completing
www.ck1.org Chapter 3. Quadratic Equations and Quadratic Functions 3.4 Solving Quadratic Equations by Completing the Square Learning objectives Complete the square of a quadratic expression. Solve quadratic
More informationMath 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 information4. 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 informationAlgebra 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 informationSection 2.1 Objective 1: Determine If a Number Is a Solution of an Equation Video Length 5:19. Definition A in is an equation that can be
Section 2.1 Video Guide Linear Equations: The Addition and Multiplication Properties of Equality Objectives: 1. Determine If a Number Is a Solution of an Equation 2. Use the Addition Property of Equality
More informationFull file at
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) b + 17 = 11 1) 28 28 C) 6 6 2) 1 = b + 6 2) 7 5 C) 7 5 3) t 7 = 12 3) 5 19
More informationMAT 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 informationGrade 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 information8 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 informationMapping Common Core State Standard Clusters and. Ohio Grade Level Indicator. Grade 7 Mathematics
Mapping Common Core State Clusters and Ohio s Grade Level Indicators: Grade 7 Mathematics Ratios and Proportional Relationships: Analyze proportional relationships and use them to solve realworld and mathematical
More informationMathematics 8 Review 1 Square Roots. Practice: When a number is multiplied by itself, you square the number. The product is a perfect square.
Mathematics 8 Review 1 Square Roots When a number is multiplied by itself, you square the number. The product is a perfect square. For example: The square of 5 is 5 5 25 We write: 5 2 5 5 25 We say: Five
More informationUNIT 2 REASONING WITH LINEAR EQUATIONS AND INEQUALITIES Lesson 1: Creating Linear Equations and Inequalities in One Variable
Guided Practice Example 1 James earns $15 per hour as a teller at a bank. In one week he pays 17% of his earnings in state and federal taxes. His take-home pay for the week is $460.65. How many hours did
More informationExtra Practice Chapter 5. Topics Include: Direct & Partial Variation Slope Slope as a Rate of Change First Differences
Extra Practice Chapter 5 Topics Include: Direct & Partial Variation Slope Slope as a Rate of Change First Differences 5.1 - Practice: Direct Variation 1. Find the constant of variation for each direct
More informationQuadratic 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 informationMATH 110: FINAL EXAM REVIEW
MATH 0: FINAL EXAM REVIEW Can you solve linear equations algebraically and check your answer on a graphing calculator? (.) () y y= y + = 7 + 8 ( ) ( ) ( ) ( ) y+ 7 7 y = 9 (d) ( ) ( ) 6 = + + Can you set
More informationhs 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 informationAnswers Investigation 4
Answers Investigation Applications. a. 7 gallons are being pumped out each hour; students may make a table and notice the constant rate of change, which is - 7, or they may recognize that - 7 is the coefficient
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 informationReview: Expressions and Equations
Review: Expressions and Equations Expressions Order of Operations Combine Like Terms Distributive Property Equations & Inequalities Graphs and Tables Independent/Dependent Variables Constant: a number
More information(2 x 2-3x + 5) + ( x 2 + 6x - 4) = 3 x 2 + 3x + 1 (continued on the next page)
Algebra Lab Adding and Subtracting Polynomials Monomials such as 3x and -x are called like terms because they have the same variable to the same power. When you use algebra tiles, you can recognize like
More informationArchdiocese of Washington Catholic Schools Academic Standards Mathematics
7 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students understand and use scientific notation* and square roots. They convert between fractions and decimals. MA.7.1.1
More informationLearning Outcome 4 Measurement
Maths in Context Learning Outcome 4 Measurement Exercise Book Learning Outcome 4 Exercise 1 Select the most appropriate metric units for measuring each item. 1. The height of a person: (A) mm (B) cm (c)
More informationArchdiocese of Washington Catholic Schools Academic Standards Mathematics
6 th GRADE Archdiocese of Washington Catholic Schools Standard 1 - Number Sense Students compare and order positive and negative integers*, decimals, fractions, and mixed numbers. They find multiples*
More informationPractice Test 1 BLACKLINE MASTERS
Practice Test 1 BLACKLINE MASTERS Name Date Chapter 1: The Number System Answer the questions that follow. 1. Which of the numbers below is not irrational? A. 5 C. 2 9 B. D. 1.34344344434444 2. Which of
More informationOverview Ratios, Rates, Proportions, and Percents Polynomials Equations Overview Statistics...
Overview... 5 1. Integers and Real Numbers... 6 2. Ratios, Rates, Proportions, and Percents... 10 3. Laws of Exponents... 14 4. Algebraic Expressions... 18 5. Polynomials... 22 6. Equations... 26 7. Graphs
More informationSolving Proportions and Percent Equations
Lesson 3.2 Objectives Use cross-products to solve proportions. Use proportions and percent equations to solve percent problems. Solving Proportions and Percent Equations The scale drawing of an office
More informationAlgebra 2 CEOCE Study Guide
Algebra A Provided with logarithmic expressions, students will convert to exponential equivalents and visa versa. MC, ER) Students will write an exponential function in the form y=ab x and find a predicted
More informationPLC Papers Created For:
PLC Papers Created For: Year 11 Topic Practice Paper: Solving Quadratics (Factorisation) Quadratic equations (factorisation) 1 Grade 6 Objective: Solve quadratic equations by factorising. Question 1. Solve:
More information2.3 Solve: (9 5) 3 (7 + 1) 2 4
7 th Grade Final Exam Study Guide No Calculators ATN Suppose the Rocy Mountains have 72 cm of snow. Warmer weather is melting the snow at a rate of 5.8 cm a day. If the snow continues to melt at this rate,
More informationBUMPER BETWEEN PAPERS PRACTICE PAPER. SET 1 (of 3) HIGHER Tier (Summer 2017) QUESTIONS. Not A best Guess paper.
BUMPER BETWEEN PAPERS PRACTICE PAPER SET 1 (of 3) HIGHER Tier (Summer 2017) QUESTIONS Not A best Guess paper. Neither is it a prediction... only the examiners know what is going to come up! Fact! You also
More informationSt. Michael s Episcopal School. Summer Math
St. Michael s Episcopal School Summer Math for rising 7th & 8 th grade Algebra students 2017 Eighth Grade students should know the formulas for the perimeter and area of triangles and rectangles, the circumference
More informationMath 9 Midterm Review
Class: Date: Math 9 Midterm Review Short Answer 1. Which graphs represent a linear relation? 2. Which expressions have negative values? È i) ( 4) 3 3 ÎÍ Ê ii) 4 3 ˆ 3 È iii) ( 4) 3 3 ÎÍ È iv) ( 4) 3 3
More informationGED Prep Live: Number Sense & Basic Algebra
GED Prep Live: Number Sense & Basic Algebra Learning Objectives By the end of this lesson, you will be able to: Apply number sense concepts, including ordering rational numbers, absolute value, multiples,
More informationThe Top 11 Keystones of Algebra 1
The Top 11 Keystones of Algebra 1 The Top Eleven Keystones of Algebra 1 You should be able to 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line.
More informationGraduation-Required Assessment for Diploma
Graduation-Required Assessment for Diploma Mathematics Test Book 18pt Item Sampler Student responses in this test book must be entered by a scribe into an accommodated test form in the Data Entry Interface.
More informationL.4 Linear Inequalities and Interval Notation
L. Linear Inequalities and Interval Notation 1 Mathematical inequalities are often used in everyday life situations. We observe speed limits on highways, minimum payments on credit card bills, maximum
More informationElementary 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 informationUNIT 1 UNIT 1: QUADRATIC FUNCTIONS. By the end of this unit, I can. Name:
UNIT 1: QUADRATIC FUNCTIONS UNIT 1 By the end of this unit, I can Draw the graph of a function using different methods Explain the meaning of the term function and distinguish between a function and a
More information7) 24% of the lawyers in a firm are female. If there are 150 lawyers altogether, how many lawyers are female?
Math 110 Sample Final Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the perimeter (or circumference) and area of the figure. 1) Give the exact
More informationMath Chapter 5: Linear Relations, Equations, and Inequalities. Goal: Use symbols to describe a pattern that changes at a constant rate.
Math 9-14 Chapter 5: Linear Relations, Equations, and Inequalities 5.1 (Part 1) Describing Relations Algebraically Goal: Use symbols to describe a pattern that changes at a constant rate. Relation: Ex
More informationSolve Problems with Equations
Develop Skills and Strategies Part 1: Introduction Solve Problems with Equations CCSS 7.EE.B. 7.EE.B.4a You know how to compute with rational numbers and write and solve one-step equations. Take a look
More informationMATH ALGEBRA AND FUNCTIONS
Students: 1. Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and their graphs. 1. Use variables and appropriate operations to write an expression,
More informationCHAPTER 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 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 information1. The sum of four consecutive even numbers is 52. What is the largest of these numbers?
1. The sum of four consecutive even numbers is 52. What is the largest of these numbers? 26 22 C 16 10 2. In a high school basketball game, Sarah scored 10 points in the first half of the game. In the
More informationUnit Essential Questions. Can equations that appear to be different be equivalent? How can you solve equations?
Unit Essential Questions Can equations that appear to be different be equivalent? How can you solve equations? What kinds of relationships can proportions represent? Williams Math Lessons TARGET ONE-STEP
More informationChapter 1 Expressions, Equations, and Functions
Chapter 1 Expressions, Equations, and Functions Sec 1.1 Evaluate Expressions Variable EX: Algebraic Expression a collection of,, and without an equal sign. EX: Evaluate an Expression to substitute a number
More informationExam 1 Review Sp16 O Brien. Exam 1 Review:
Exam Review:..6 Directions: Try to work the following problems with your book, notes, and homework closed. You may have your graphing calculator and some blank paper. The idea is to practice working problems
More informationName Date Class A 3.12, B 3.12, 10, 3.24, C 10, 3.12, 3.24, D 3.12, 3.24,
. Which label or labels could replace A In the diagram below? A Rational Numbers only B Rational Numbers or Integers C Integers only D Irrational Numbers. Between which two integers does the value of 88
More informationWithout actually dividing the number, is the number divisible by 2, 3, and/ or 5? Why?
Math 40 Final Exam Review Part I No Calc 1. (2 pts) Round the number 38,756 to the nearest thousand. 2. (6 pts ) Consider the whole number 312. Without actually dividing the number, is the number divisible
More informationAlgebra Final Review D
Last Name: Period: Random Generator #: ID: A Algebra Final Review D "If you tell the truth, you don't have to remember anything." - Mark Twain Short Answer Show all thinking for maximum credit. Each question
More information2. Which of the following expressions represents the product of four less than three times x and two more than x?
Algebra Topics COMPASS Review You will be allowed to use a calculator on the COMPASS test. Acceptable calculators are: basic calculators, scientific calculators, and graphing calculators up through the
More information2.1 Intro to Algebra
MFM1P Unit 2: Algebra Lesson 1 Date: Learning goal: I understand polynomial terminology and can create algebraic expressions. 2.1 Intro to Algebra What is algebra? Learning algebra is like learning another
More information2. 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 informationMA 40S APPLIED UNIT F: DESIGN AND MEASUREMENT CLASS NOTES
1 MA 40S APPLIED UNIT F: DESIGN AND MEASUREMENT CLASS NOTES 1. Introduction. In Grade 1 Applied you learn some powerful mathematics. But it remains necessary to re-enforce the most basic practical type
More informationMath 3 Variable Manipulation Part 7 Absolute Value & Inequalities
Math 3 Variable Manipulation Part 7 Absolute Value & Inequalities 1 MATH 1 REVIEW SOLVING AN ABSOLUTE VALUE EQUATION Absolute value is a measure of distance; how far a number is from zero. In practice,
More information(A) 20% (B) 25% (C) 30% (D) % (E) 50%
ACT 2017 Name Date 1. The population of Green Valley, the largest suburb of Happyville, is 50% of the rest of the population of Happyville. The population of Green Valley is what percent of the entire
More informationPractice Paper 1. Section I. Attempt Questions 1 15 (15 marks) Allow about 20 minutes for this section
45 Section I Attempt Questions 5 (5 marks) Allow about 0 minutes for this section Which of the following is the highest pay? A $44. per week B $884.68 per fortnight C $647.50 per month D $75 000 per annum
More information6. Graph each of the following functions. What do you notice? What happens when x = 2 on the graph of b?
Pre Calculus Worksheet 1. Da 1 1. The relation described b the set of points {(-,5,0,5,,8,,9 ) ( ) ( ) ( )} is NOT a function. Eplain wh. For questions - 4, use the graph at the right.. Eplain wh the graph
More informationAnswers Investigation 1
Applications. a. () + () + = tiles b. Possible epressions: + + ( + ) + ( + ) ( + ) + + ( + ) c. See part (b) for some epressions; eplanations will vary. Students might draw sketches. For eample: + + (
More informationMath 1 Variable Manipulation Part 4 Word Problems
Math 1 Variable Manipulation Part 4 Word Problems 1 TRANSLATING FROM ENGLISH INTO ALGEBRA (PLUG IN) The next part of variable manipulation problems is to figure out the problem from real life situations.
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 information1 Linear and Absolute Value Equations
1 Linear and Absolute Value Equations 1. Solve the equation 11x + 6 = 7x + 15. Solution: Use properties of equality to bring the x s to one side and the numbers to the other: 11x (7x) + 6 = 7x (7x) + 15
More informationPLC Papers. Created For:
PLC Papers Created For: Compound Units 2 Grade 5 Objective: Convert standard compound units in numerical and algebraic contexts. Question 1. Ben goes on holiday to Hong Kong. In Hong Kong, Ben sees a camera
More informationIM1 Summative Practice #1 Show all your Work
IM1 Summative Practice #1 Name: Show all your Work Period: Simplify each expression below. 1. 5x (7 3x) 2. 5(x 12) + 15(x + y) 3. 8 2(x 2 3x) (9 3x 2 ) Solve each equation. Justify each step with a property
More informationGrade 6 FSA Mathematics Practice Test Questions
Grade 6 FSA Mathematics Practice Test Questions The purpose of these practice test materials is to orient teachers and students to the types of questions on paper-based FSA tests. By using these materials,
More informationDIRECT, JOINT, AND INVERSE VARIATION
DIRECT, JOINT, AND INVERSE VARIATION DIRECT VARIATION A linear equation of the form y = kx with k! 0 is called direct variation. The variable y varies directly with the variable x. In other words, the
More information