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Words 292

Pages 2

Score: ______ / ______

Pre-Algebra Midterm Exam

Solve the problems below. Show your work when applicable.

1. Write using exponents.

(–4)(–4)

2. Simplify. Show your work.

513 +-3918

3. What type of measurement would you use to describe the amount of water a pot can hold?

4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.

5. State whether the number 91 is prime, composite, or neither.

6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7

mean:

mode:

7. To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________.

8. What percent of 67 is 33? Round to the nearest tenth of a percent.

9. An adult house cat could be about 1 ___________ high.

10. Write a number sentence for the model. Let one white tile equal +1 and one black tile equal

–1.

11. Determine whether the statement is true or false.

94 is divisible by 3.

12. State whether the number 97 is prime, composite, or neither.

13. Solve the equation. Show your work.

5d = 17.1

14. A reasonable estimate for the mass of a baby would be 7 ______.

15. Write an equation for:

Twelve times h equals one hundred and twenty minus thirty-six.

16. Solve the equation step by step. List each step, along with the property you used during that step.

–5 × 1 × 11 × 4.

17. Summarize the order of operations for evaluating expressions. Use complete sentences.

18. Define three measures of central tendency. Use complete sentences.

19. Without computing, tell whether the product is positive or negative.

(–4)(–4)(–4)

20. Solve the equation. Show your work.

3x =…...

...The relational algebra is a theoretical language with operations that work on one or more relations to define another relation without changing the original relation. Thus, both the operands and the results are relations; hence the output from one operation can become the input to another operation. This allows expressions to be nested in the relational algebra. This property is called closure. Relational algebra is an abstract language, which means that the queries formulated in relational algebra are not intended to be executed on a computer. Relational algebra consists of group of relational operators that can be used to manipulate relations to obtain a desired result. Knowledge about relational algebra allows us to understand query execution and optimization in relational database management system. Role of Relational Algebra in DBMS Knowledge about relational algebra allows us to understand query execution and optimization in relational database management system. The role of relational algebra in DBMS is shown in Fig. 3.1. From the figure it is evident that when a SQL query has to be converted into an executable code, first it has to be parsed to a valid relational algebraic expression, then there should be a proper query execution plan to speed up the data retrieval. The query execution plan is given by query optimizer. Relational Algebra Operations Operations in relational algebra can be broadly classified into set operation and database......

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...Preparation of income statement, balance sheet and statement of cash flows: Accounting for specialized items: Property, Plant & Equipment, bad debts; provisions; financial instruments; leases; employee benefits; income taxes; revenues,; foreign currency transactions etc.;Accounting for mergers and consolidations; IFRS vs GAAP; Financial statement analysis 3. Cost and Management Accounting: Cost concepts; Job-order costing vs process costing;ABC Costing; Marginal costing vs absorption costing: CVP analysis; Relevant costs: special order, make or buy decisions; ROA, residual income and economic value added; Standard costing and variance analysis; EOQ and linear programming 4. Quantitative Methods and Business Mathematics: Algebra and logarithm; Series and progressions; Probability, confidence intervals and testing; Measures of central tendency and measures of dispersion; Simple and compound interest: compounding and discounting;Differentiation and integration; Regression and correlation 5. Business Management: Vision, mission and strategy; Human resource management : recruitment and retention, performance measurement and development, compensation, employee rations and ethics etc.; Marketing; Organizational culture, organizational change and effective communication; Business analyses: SWOT, PESTLE, balanced scorecard 6. Microsoft Excel 2003/2007/2010: Financial Model Development; Visual Basic for Application(VBA) development, Lookup; Solver;......

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...Diagnostic Algebra Assessment Definitions Categories Equality Symbol Misconception Graphing Misconception Definition Concept of a Variable Misconception Equality Symbol Misconception As algebra teachers, we all know how frustrating it can be to teach a particular concept and to have a percentage of our students not get it. We try different approaches and activities but to no avail. These students just do not seem to grasp the concept. Often, we blame the students for not trying hard enough. Worse yet, others blame us for not teaching students well enough. Students often learn the equality symbol misconception when they begin learning mathematics. Rather than understanding that the equal sign indicates equivalence between the expressions on the left side and the right side of an equation, students interpret the equal sign as meaning “do something” or the sign before the answer. This problem is exacerbated by many adults solving problems in the following way: 5 × 4 + 3 = ? 5 × 4 = 20 + 3 = 23 Students may also have difficulty understanding statements like 7 = 3 + 4 or 5 = 5, since these do not involve a problem on the left and an answer on the right. Falkner presented the following problem to 6th grade classes: 8 + 4 = [] + 5 All 145 students gave the answer of 12 or 17. It can be assumed that students got 12 since 8 + 4 = 12. The 17 may be from those who continued the problem: 12 + 5 = 17. Students with this misconception may also have difficulty with the idea that......

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...Week four assignment MAT221: introduction to algebra Thurman Solana July 7, 2013 Below we will go through a few equations for this week’s assignment. I will show my knowledge of how to properly find the correct answers to each problem. As well as showing my knowledge of the words: Like terms FOIL Descending Order Dividend and Divisor. Compound semiannually On page 304 problem #90 states “P dollars is invested at annual interest rates r for one year. If the interest rate is compounded semiannually then the polynomial p(1+r2) represents the value of investment after one year. Rewrite the problem without the equation.”(Algebra) For the first equation p will stand for 200 and r will stand for 10%. First I need to turn the interest rate into a decimal. 10%=0.1. Now I can rewrite the equation.2001+0.122. Now that I have my equation written out I can start to solve. I start by dividing 0.1 by 2 to get 0.05. Now I can rewrite 2001+0.052. First I add the 1 and 0.05 giving me 1.05 to square. Any number times itself is called squaring. So now we square (1.05)*(1.05)=(1.1025). Again we rewrite our equation 200*1.1025=220.5. Now we can remove the parentheses leaving us with an answer of 220.5. The answer for this first part of 2001+0.0122=220.5. Second Part On this second part let p stand for 5670 and r will stand for 3.5%. Again I start by turning my percentage into a decimal 3.5%=0.035. Now that we have our decimal we can write out our equation......

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...Algebra III with Statistics Shannon Smith, Ph.D. SSmith3@mcpss.com 1. This course emphasizes the study of functions, graphs, and other skills necessary for the study of Pre-Calculus and the preparation for college. Topics include: Polynomial functions, trigonometric and exponential equations, linear and quadratic equations and inequalities, and an extensive look into statistics. 2. All school rules will be upheld and strictly enforced – see student handbook. 3. Students are expected to bring required materials to class each day. These materials include the following: textbook, paper, pencil (only work done in pencil will be graded), and a scientific calculator, excluding calculator that use math type. GRAPHING CALCULATORS WILL NOT BE ALLOWED! 4. Please be prepared for class when it begins. Have pencils sharpened and materials ready to begin learning before instruction begins. DO NOT talk while the teacher is talking, and remain seated during class. Hall passes will be limited for a necessity or an emergency. Do not ask for a hall pass unnecessarily. 5. If you have permission to attend a field trip, you must realize that you are counted present for that day you miss. Therefore, you will be held accountable for any material you missed. 6. Grading will consist of the following: Assignments: 10% Quizzes: 30% Tests: 60% A comprehensive quarter exam will be......

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...sentence including an equal sign. Equivalent fractions - fractions equal to one another, even though they may have different denominators. Even - a number that is divisible by 2. Exponent - in the expression x to the second power, the exponent is 2; x will be multiplied by itself two times. Expression - mathematical incomplete sentence that doesnt contain an equal sign. Factor - if a is a factor of b, then b is divisible by a. Factorial - operation that multiplies a whole number by every counting number smaller than it. Formula - rule or method that is accepted as true and used over and over in common applications. Fraction - ratio of two numbers representing some portion of an integer. Fundamental theorem of algebra - guarantees that a polynomial of degree n, if set equal to 0, will have exactly n roots. Function - a relation whose inputs each have a single, corresponding output. Graph - plotted figure in a plane. Greatest common factor - the largest factor of two or more numbers or terms. Grouping symbols - elements like parentheses and brackets that explicitly tell you what to simplify first in a problem. Horizontal line test - tests the graph of a function to determine whether or not its one to one. Hypotenuse - longest side of right triangle. i - The imaginary value square root of -1. Identity element - the number(0 for addition, 1 for multiplication) that leaves a numbers value unchanged when the corresponding operation...

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...Many people are intimidated and afraid of mathematics and algebra largely due to the fact that upon first glance, certain problems or expressions may seem overwhelmingly large, difficult, or complicated. Along with remembering formulas, this can often times lead to anger, confusion, and frustration. There are several very important key elements and aspects involved within mathematics that helps combat this confusion and frustration and can even help the most intimidated person feel at ease and comfortable with solving these problems. This particular report will demonstrate the importance of understanding certain key mathematical principles and components and show how understanding and utilizing certain mathematical definitions can help limit the amount of confusion and intimidation one may have. These definitions include but are not limited to simplifying, adding like terms, coefficient, distributive property, and removing parenthesis. This report will also demonstrate how much easier and more simplistic mathematics and algebra can be by remembering and utilizing just a few important concepts. Example 1: 2^a(a-5) +4(a-5) This is the first example that will be used. The variable a is used. This particular example has a coefficient of two. Step 1: The distributive property can be utilized to multiply 2a by everything inside of the parenthesis (a-5 in this case) resulting in: 2a^2-10a Step 2: The distributive property is used once again to multiply 4 by everything in......

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...SUBDOMAIN 212.1 - NUMERACY, ALGEBRA, & GEOMETRY Competency 212.1.2: Solving Algebraic Equations - The graduate solves algebraic equations and constructs equations to solve real-world problems. Introduction: An important element of learning is to connect mathematical concepts with physical concepts. Graphical representations of mathematical functions will allow you to visualize the meaning and power of mathematical equations. The power of computer programs and graphing calculators provide a more thorough connection between algebraic equations and visual representation, which will increase appreciation and understanding of mathematical language. In this task, you will be making connections between algebraic equations and graphical representations. You will use the following situation to complete your task: A man shines a laser beam from a third-story window of a building onto the pavement below. The path of the laser beam is represented by the equation y = –(2/3)x + 30. In this problem, y represents the height above the ground, and x represents the distance from the face of the building. All height and distance measurements are in feet. Task: A. Use the situation above to complete parts A1 through A5. 1. Find the x-intercept and y-intercept of the given equation algebraically, showing all work. 2. Graph the given equation. • Label each axis of the coordinate plane with descriptive labels. • Label each intercept as “x-intercept” or “y-intercept” and include the ordered pair. 3.......

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...Name: _________________________ Score: ______ / ______ Pre-Algebra Midterm Exam Solve the problems below. Show your work when applicable. 1. Write using exponents. (–4)(–4) 2. Simplify. Show your work. 513 +-3918 3. What type of measurement would you use to describe the amount of water a pot can hold? 4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. 5. State whether the number 91 is prime, composite, or neither. 6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7 mean: mode: 7. To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________. 8. What percent of 67 is 33? Round to the nearest tenth of a percent. 9. An adult house cat could be about 1 ___________ high. 10. Write a number sentence for the model. Let one white tile equal +1 and one black tile equal –1. 11. Determine whether the statement is true or false. 94 is divisible by 3. 12. State whether the number 97 is prime, composite, or neither. 13. Solve the equation. Show your work. 5d = 17.1 14. A reasonable estimate for the mass of a baby would be 7 ______. 15. Write an equation for: Twelve times h equals one hundred and twenty minus thirty-six. 16. Solve the equation step by step. List each step, along with the property you used during that step. –5 × 1 × 11 × 4. 17. Summarize the order of......

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...Name: _________________________ Score: ______ / ______ Pre-Algebra Midterm Exam Solve the problems below. Show your work when applicable. 1. Write using exponents. (–4)(–4) 2. Simplify. Show your work. 513 +-3918 3. What type of measurement would you use to describe the amount of water a pot can hold? 4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. 5. State whether the number 91 is prime, composite, or neither. 6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7 mean: mode: 7. To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________. 8. What percent of 67 is 33? Round to the nearest tenth of a percent. 9. An adult house cat could be about 1 ___________ high. 10. Write a number sentence for the model. Let one white tile equal +1 and one black tile equal –1. 11. Determine whether the statement is true or false. 94 is divisible by 3. 12. State whether the number 97 is prime, composite, or neither. 13. Solve the equation. Show your work. 5d = 17.1 14. A reasonable estimate for the mass of a baby would be 7 ______. 15. Write an equation for: Twelve times h equals one hundred and twenty minus thirty-six. 16. Solve the equation step by step. List each step, along with the property you used during that step. –5 × 1 × 11 × 4. 17. Summarize the order of......

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...MAPÚA INSTITUTE OF TECHNOLOGY Department of Mathematics COURSE SYLLABUS 1. Course Code: Math 10-3 2. Course Title: Algebra 3. Pre-requisite: none 4. Co-requisite: none 5. Credit: 3 units 6. Course Description: This course covers discussions on a wide range of topics necessary to meet the demands of college mathematics. The course discussion starts with an introductory set theories then progresses to cover the following topics: the real number system, algebraic expressions, rational expressions, rational exponents and radicals, linear and quadratic equations and their applications, inequalities, and ratio, proportion and variations. 7. Student Outcomes and Relationship to Program Educational Objectives Student Outcomes Program Educational Objectives 1 2 (a) an ability to apply knowledge of mathematics, science, and engineering √ (b) an ability to design and conduct experiments, as well as to analyze and interpret from data √ (c) an ability to design a system, component, or process to meet desired needs √ (d) an ability to function on multidisciplinary teams √ √ (e) an ability to identify, formulate, and solve engineering problems √ (f) an understanding of professional and ethical responsibility √ (g) an ability to communicate effectively √ √ (h) the broad education necessary to understand the impact of engineering solutions in the global and societal context √ √ (i) a recognition of the need for, and an ability to......

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...Score: ______ / ______ Name: ______________________________ Student Number: ______________________ | 1. Elsie is making a quilt using quilt blocks like the one in the diagram. a. How many lines of symmetry are there? Type your answer below. b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below. | | 2. Solve by simulating the problem. You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences. | | 3. Use the diagram below to answer the following questions. Type your answers below each question. a. Name three points.b. Name four different segments.c. Write two other names for FG.d. Name three different rays. | | 4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground. Draw a sketch of this situation (you do not need to submit the sketch). Find the ground distance from Charlie to the plane. Type your answer below. Explain your work. | | _____ 5. Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?......

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...Name: Taylor Harmon_________________________ Score: ______ / ______ Pre-Algebra Midterm Exam Solve the problems below. Show your work when applicable. 1. Write using exponents. (–4)(–4) -4^2 2. Simplify. Show your work. 513 +-3918 5x3+1/3 + -3 9/18 16/3 + -3 9/18 16/3 + -3 ½ 16/3 – 3x2+1/2 16/3 – 7/2 Least common denominator found is 6 16x2/3x2 – 7x3/2x3 32/6 – 21/6 = 11/6 11/6 = 1 5/6 3. What type of measurement would you use to describe the amount of water a pot can hold? Volume – gallons, liters 4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place. 19.2 5. State whether the number 91 is prime, composite, or neither. Composite. It can be divided by 7 or 13 6. What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7 mean: 6 mode: 5 7. To measure the distance from the U.S. to Istanbul, Turkey you would most likely use __________. miles 8. What percent of 67 is 33? Round to the nearest tenth of a percent. 49.3% 9. An adult house cat could be about 1 ___________ high. foot 10. Write a number sentence for the model. Let one white tile equal +1 and one black tile equal –1. There are -14 black tiles and 6 of them become white tiles. -14+6=-8 11. Determine whether the statement is true or false. 94 is divisible by 3. false 12. State whether the number 97 is prime, composite, or neither. prime 13.......

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...What is Algebra? Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary over time. These variables include things like the relationship between supply of an object and its price. When we use a mathematical statement to describe a relationship, we often use letters to represent the quantity that varies, sisnce it is not a fixed amount. These letters and symbols are referred to as variables. (See the Appendix One for a brief review of constants and variables.) The mathematical statements that describe relationships are expressed using algebraic terms, expressions, or equations (mathematical statements containing letters or symbols to represent numbers). Before we use algebra to find information about these kinds of relationships, it is important to first cover some basic terminology. In this unit we will first define terms, expressions, and equations. In the remaining units in this book we will review how to work with algebraic expressions, solve equations, and how to construct algebraic equations that describe a relationship. We will also introduce the notation used in algebra as we move through this unit. History of algebra The history of algebra began in ancient Egypt and Babylon, where people learned to solve linear (ax = b) and quadratic (ax2 + bx = c) equations, as well as indeterminate equations such as x2 + y2 = z2, whereby several unknowns are involved. The ancient Babylonians solved......

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...7.0208 6.2911 5.8357 6.00 19.3328 11.1021 8.4386 7.1643 6.4430 5.9955 Your assignment must follow these formatting requirements: Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides. Check with your professor for any additional instructions. Include a cover page containing the tile of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page is not included in the required assignment page length. The specific course learning outcomes associated with this assignment are: Apply finance formulas and logarithms to amortize loans and calculate interest. Use technology and information resources to research issues in algebra. Write clearly and concisely about algebra using proper writing mechanics....

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