8. 2 3x 1 = 16 is an example of a(n). SOLUTION: An equation in which the variable occurs as exponent is an exponential equation.
|
|
- Christina Beasley
- 6 years ago
- Views:
Transcription
1 Choose the word or term that best completes each sentence. 1. 7xy 4 is an example of a(n). A product of a number and variables is a monomial. 2. The of 95,234 is ,234 is almost 100,000 or 10 5, so 10 5 is its order of magnitude is a(n) of 8. Since 8 = 2 3, 2 is the cube root of The rules for operations with exponents can be extended to apply to expressions with a(n) such as. The exponent is a rational exponent. 5. A number written in is of the form a 10 n, where 1 a < 10 and n is an integer. A number written as a 10 n, where 1 a < 10 and n is an integer, is written in scientific notation. 6. f (x) = 3 x is an example of a(n). A function in the form y = ab x, where a 0, b > 0, and b 1 is an exponential function. 7. is a(n) for the sequence. A formula that gives the first term of a sequence and tells you how to find the next term when you know the preceding term is called a recursive formula x 1 = 16 is an example of a(n). An equation in which the variable occurs as exponent is an exponential equation. 9. The equation for is y = C(1 r) t. Since 0 < 1 r < 1, this is an example of exponential decay. esolutions Manual - Powered by Cognero Page 1
2 10. If a n = b for a positive integer n, then a is a(n) of b. If a n = b for a positive integer n, then a is an nth root of b. Simplify each expression. 11. x x 3 x (2xy)( 3x 2 y 5 ) 13. ( 4ab 4 )( 5a 5 b 2 ) 14. (6x 3 y 2 ) 2 esolutions Manual - Powered by Cognero Page 2
3 15. [(2r 3 t) 3 ] ( 2u 3 )(5u) 17. (2x 2 ) 3 (x 3 ) (2x 3 ) 3 esolutions Manual - Powered by Cognero Page 3
4 19. GEOMETRY Use the formula V = πr 2 h to find the volume of the cylinder. 20. Simplify each expression. Assume that no denominator equals zero. 21. esolutions Manual - Powered by Cognero Page 4
5 a 3 b 0 c esolutions Manual - Powered by Cognero Page 5
6 esolutions Manual - Powered by Cognero Page 6
7 GEOMETRY The area of a rectangle is 25x 2 y 4 square feet. The width of the rectangle is 5xy feet. What is the length of the rectangle? The length of the rectangle is 5xy 3 ft. Simplify. 29. esolutions Manual - Powered by Cognero Page 7
8 esolutions Manual - Powered by Cognero Page 8
9 Solve each equation x = 7776 Therefore, the solution is x 1 = 32 Therefore, the solution is. esolutions Manual - Powered by Cognero Page 9
10 Express each number in scientific notation ,300,000 2,300, The decimal point moved 6 places to the left, so n = 6. 2,300,000 = The decimal point moved 5 places to the right, so n = = ASTRONOMY Earth has a diameter of about 8000 miles. Jupiter has a diameter of about 88,000 miles. Write in scientific notation the ratio of Earth s diameter to Jupiter s diameter. Earth: 8000 = Jupiter: 88,000 = In scientific notation, the ratio of Earth s diameter to Jupiter s diameter is about esolutions Manual - Powered by Cognero Page 10
11 Graph each function. Find the y-intercept, and state the domain and range. 42. y = 2 x Complete a table of values for 2 < x < 2. Connect the points on the graph with a smooth curve. x 2 x y The graph crosses the y-axis at 1. The domain is all real numbers, and the range is all real numbers greater than 0. esolutions Manual - Powered by Cognero Page 11
12 43. y = 3 x + 1 Complete a table of values for 2 < x < 2. Connect the points on the graph with a smooth curve. x 3 x + 1 y The graph crosses the y-axis at 2. The domain is all real numbers, and the range is all real numbers greater than 1. esolutions Manual - Powered by Cognero Page 12
13 44. y = 4 x + 2 Complete a table of values for 2 < x < 2. Connect the points on the graph with a smooth curve. x 4 x + 2 y The graph crosses the y-axis at 3. The domain is all real numbers, and the range is all real numbers greater than 2. esolutions Manual - Powered by Cognero Page 13
14 45. y = 2 x 3 Complete a table of values for 2 < x < 2. Connect the points on the graph with a smooth curve. x 2 x 3 y The graph crosses the y-axis at 2. The domain is all real numbers, and the range is all real numbers greater than BIOLOGY The population of bacteria in a petri dish increases according to the model p = 550(2.7) 0.008t, where t is the number of hours and t = 0 corresponds to 1:00 P.M. Use this model to estimate the number of bacteria in the dish at 5:00 P.M. If t = 0 corresponds to 1:00 P.M, then t = 4 represents 5:00 P.M. There will be about 568 bacteria in the dish at 5:00 P.M. esolutions Manual - Powered by Cognero Page 14
15 47. Find the final value of $2500 invested at an interest rate of 2% compounded monthly for 10 years. Use the equation for compound interest, with P = 2500, r = 0.02, n = 12, and t = 10. The final value of the investment is about $ COMPUTERS Zita s computer is depreciating at a rate of 3% per year. She bought the computer for $1200. a. Write an equation to represent this situation. b. What will the computer s value be after 5 years? a. Use the equation for exponential decay, with a = 1200 and r = The equation that represents the depreciation of Zita s computer is y = 1200(1 0.03) t. b. Substitute 5 for t and solve. After 5 years, Zita s computer value is about $ Find the next three terms in each geometric sequence , 1, 1, 1,... Calculate the common ratio. The common ratio is 1. Multiply each term by the common ratio to find the next three terms. 1 1 = = = 1 The next three terms of the sequence are 1, 1, and 1. esolutions Manual - Powered by Cognero Page 15
16 50. 3, 9, Calculate the common ratio. The common ratio is 3. Multiply each term by the common ratio to find the next three terms = = = 729 The next three terms of the sequence are 81, 243, and , 128, 64,... Calculate the common ratio. The common ratio is. Multiply each term by the common ratio to find the next three terms. 64 = = = 8 The next three terms of the sequence are 32, 16, and 8. Write the equation for the nth term of each geometric sequence , 1, 1, 1,... The first term of the sequence is 1. So, a 1 = 1. Calculate the common ratio. The common ratio is 1. So, r = 1. esolutions Manual - Powered by Cognero Page 16
17 53. 3, 9, 27,... The first term of the sequence is 3. So, a 1 = 3. Calculate the common ratio. The common ratio is 3. So, r = , 128, 64,... The first term of the sequence is 256. So, a 1 = 256. Calculate the common ratio. The common ratio is. So, r =. 55. SPORTS A basketball is dropped from a height of 20 feet. It bounces to its height each bounce. Draw a graph to represent the situation. Compared to the previous bounce, the ball returns to its height. So, the common ratio is. Use common ratio to find next y term esolutions Manual - Powered by Cognero Page 17
18 Therefore, the geometric sequence that models this situation is 20, 10, 5,,,,,, and so forth. esolutions Manual - Powered by Cognero Page 18
19 Find the first five terms of each sequence. 56. Use a 1 = 11 and the recursive formula to find the next four terms. The first five terms are 11, 7, 3, 1, and 5. esolutions Manual - Powered by Cognero Page 19
20 57. Use a 1 = 3 and the recursive formula to find the next four terms. The first five terms are 3, 12, 30, 66, and 138. Write a recursive formula for each sequence , 7, 12, 17,... Subtract each term from the term that follows it. 7 2 = 5; 12 7 = 5, = 5 There is a common difference of 5. The sequence is arithmetic. Use the formula for an arithmetic sequence. The first term a 1 is 2, and n 2. A recursive formula for the sequence 2, 7, 12, 17, is a 1 = 2, a n = a n 1 + 5, n 2. esolutions Manual - Powered by Cognero Page 20
21 59. 32, 16, 8, 4,... Subtract each term from the term that follows it = 16; 8 16 = 8, 4 8 = 4 There is no common difference. Check for a common ratio by dividing each term by the term that precedes it. There is a common ratio of 0.5. The sequence is geometric. Use the formula for a geometric sequence. The first term a 1 is 32, and n 2. A recursive formula for the sequence 32, 16, 8, 4, is a 1 = 32, a n = 0.5a n 1, n , 5, 11, 23,... Subtract each term from the term that follows it. 5 2 = 3; 11 5 = 6, = 12 There is no common difference. Check for a common ratio by dividing each term by the term that precedes it. There is no common ratio. Therefore the sequence must be a combination of both. From the difference above, you can see each is twice as big as the previous. So r is 2. From the ratios, if each denominator was one less, the ratios would be 0.5. Thus, the common difference is 1. Then, if the first term a 1 is 2, and n 2, a recursive formula for the sequence 2, 5, 11, 23, is a 1 = 2, a n = 2a n 1 + 1, n 2. esolutions Manual - Powered by Cognero Page 21
2-6 Analyzing Functions with Successive Differences
Graph each set of ordered pairs. Determine whether the ordered pairs represent a linear function, a quadratic function, or an exponential function. 1. ( 2, 8), ( 1, 5), (0, 2), (1, 1) linear 3. ( 3, 8),
More informationExponential Functions Concept Summary See pages Vocabulary and Concept Check.
Vocabulary and Concept Check Change of Base Formula (p. 548) common logarithm (p. 547) exponential decay (p. 524) exponential equation (p. 526) exponential function (p. 524) exponential growth (p. 524)
More informationMid-Chapter Quiz: Lessons 1-1 through 1-4
Determine whether each relation represents y as a function of x. 1. 3x + 7y = 21 This equation represents y as a function of x, because for every x-value there is exactly one corresponding y-value. function
More informationChapter 7 - Exponents and Exponential Functions
Chapter 7 - Exponents and Exponential Functions 7-1: Multiplication Properties of Exponents 7-2: Division Properties of Exponents 7-3: Rational Exponents 7-4: Scientific Notation 7-5: Exponential Functions
More informationPractice Test - Chapter Evaluate if x = 3 and y = 1. SOLUTION: 2. Simplify. SOLUTION:
1. Evaluate if x = 3 and y = 1. 2. Simplify. 3. MULTIPLE CHOICE If what is the value of A 105 B 9 C D 6 Substitute m = 6 in 2m 3. So, the correct choice is B. esolutions Manual - Powered by Cognero Page
More information0-4 nth Roots and Real Exponents
Evaluate. 1. 13 2. Because there is no real number that can be squared to produce 100, is not a real number. not a real number 3. esolutions Manual - Powered by Cognero Page 1 4. 5. Because there is no
More informationSolving Multi-Step Equations
1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract terms to both sides of the equation to get the
More information10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no. 1. 8, 2, 12, 22
Determine whether each sequence is arithmetic. Write yes or no. 1. 8, 2, 12, 22 Subtract each term from the term directly after it. The common difference is 10. 3. 1, 2, 4, 8, 16 Subtract each term from
More informationAlgebra 1. Math Review Packet. Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals
Algebra 1 Math Review Packet Equations, Inequalities, Linear Functions, Linear Systems, Exponents, Polynomials, Factoring, Quadratics, Radicals 2017 Math in the Middle 1. Clear parentheses using the distributive
More information1-1 Variables and Expressions
Write a verbal expression for each algebraic expression. 1. 2m Because the 2 and the m are written next to each other, they are being multiplied. So, the verbal expression the product of 2 and m can be
More informationStudy Guide and Review - Chapter 7
Choose a word or term from the list above that best completes each statement or phrase. 1. A function of the form f (x) = b x where b > 1 is a(n) function. exponential growth 2. In x = b y, the variable
More informationMATH Spring 2010 Topics per Section
MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line
More informationAlgebra I. Course Outline
Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative
More information1-8 Roots. Find each square root. SOLUTION: Find the positive square root of 16. Since 4 2 = 16, = 4.
1. Find each square root. Find the positive square root of 16. Since 4 2 = 16, = 4. 2. 3. Find the negative square root of 484. Since 22 2 = 484,. There is no real solution because no number times itself
More informationPacing Guide Algebra 1
Pacing Guide Algebra Chapter : Equations and Inequalities (one variable) Section Section Title Learning Target(s) I can. Evaluate and Simplify Algebraic Expressions. Evaluate and simplify numeric and algebraic
More informationIn order to prepare for the final exam, you need to understand and be able to work problems involving the following topics:
MATH 080: Review for the Final Exam In order to prepare for the final exam, you need to understand and be able to work problems involving the following topics: I. Simplifying Expressions: Do you know how
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 information1-6 Ordered Pairs and Relations
Graph each ordered pair on a coordinate plane. 2. A(2, 5) Start at the origin. The x-coordinate is 2, so move 2 units to the right. The y-coordinate is 5, so move 5 units up. Draw a dot, and label it A.
More informationPractice Test - Chapter 3
Sketch and analyze the graph of each function. Describe its domain, range, intercepts, asymptotes, end behavior, and where the function is increasing or decreasing. 1. f (x) = e x + 7 Evaluate the function
More informationSimplifying Radical Expressions
Simplifying Radical Expressions Product Property of Radicals For any real numbers a and b, and any integer n, n>1, 1. If n is even, then When a and b are both nonnegative. n ab n a n b 2. If n is odd,
More informationREVIEW SHEETS ELEMENTARY ALGEBRA MATH 65
REVIEW SHEETS ELEMENTARY ALGEBRA MATH 65 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course. The sheets
More informationThe function is defined for all values of x. Therefore, the domain is set of all real numbers.
Graph each function. State the domain and range. 1. f (x) = 3 x 3 + 2 The function is defined for all values of x. Therefore, the domain is set of all real numbers. The value of f (x) tends to 2 as x tends
More informationMini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models
Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic expressions.. Translate English phrases into algebraic expressions.. Determine whether a number is a solution
More informationWORD: EXAMPLE(S): COUNTEREXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): WORD: EXAMPLE(S): COUNTEREXAMPLE(S): EXAMPLE(S): COUNTEREXAMPLE(S): WORD:
Bivariate Data DEFINITION: In statistics, data sets using two variables. Scatter Plot DEFINITION: a bivariate graph with points plotted to show a possible relationship between the two sets of data. Positive
More information8.1 Apply Exponent Properties Involving Products. Learning Outcome To use properties of exponents involving products
8.1 Apply Exponent Properties Involving Products Learning Outcome To use properties of exponents involving products Product of Powers Property Let a be a real number, and let m and n be positive integers.
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA I COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: LINEAR EQUATIONS... 2 UNIT 3: FUNCTIONS... 2 UNIT 4: INEQUALITIES...
More informationAlgebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.
Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.
More informationCCGPS Coordinate Algebra. EOCT Review Units 1 and 2
CCGPS Coordinate Algebra EOCT Review Units 1 and 2 Unit 1: Relationships Among Quantities Key Ideas Unit Conversions A quantity is a an exact amount or measurement. A quantity can be exact or approximate
More informationUsing Properties of Exponents
6.1 Using Properties of Exponents Goals p Use properties of exponents to evaluate and simplify expressions involving powers. p Use exponents and scientific notation to solve real-life problems. VOCABULARY
More informationGive algebraic and numeric examples to support your answer. Which property is demonstrated when one combines like terms in an algebraic expression?
Big Idea(s): Algebra is distinguished from arithmetic by the systematic use of symbols for values. Writing and evaluating expressions with algebraic notation follows the same rules/properties as in arithmetic.
More informationStudy Guide and Review - Chapter 1
State whether each sentence is true or false. If false, replace the underlined term to make a true sentence. 1. The absolute value of a number is always negative. The absolute value of a number is always
More information8/15/2018, 8:31 PM. Assignment: Math 0410 Homework150bbbbtsiallnew123. Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 2018
of 3 8/15/018, 8:31 PM Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 018 Assignment: Math 0410 Homework150bbbbtsiallnew13 1. Evaluate x y for the given replacement values. x=4and
More informationAlgebra I Learning Targets Chapter 1: Equations and Inequalities (one variable) Section Section Title Learning Target(s)
Chapter 1: Equations and Inequalities (one variable) Section Learning Target(s) I can 1.2 Evaluate and Simplify Algebraic Expressions 1. Evaluate and simplify numeric and algebraic expressions (order of
More informationNAME DATE PERIOD. A negative exponent is the result of repeated division. Extending the pattern below shows that 4 1 = 1 4 or 1. Example: 6 4 = 1 6 4
Lesson 4.1 Reteach Powers and Exponents A number that is expressed using an exponent is called a power. The base is the number that is multiplied. The exponent tells how many times the base is used as
More informationCatholic Central High School
Catholic Central High School Course: Basic Algebra 2 Department: Mathematics Length: One year Credit: 1 Prerequisite: Completion of Basic Algebra 1 or Algebra 1, Basic Plane Geometry or Plane Geometry,
More information1-1 Functions < x 64 SOLUTION: 9. { 0.25, 0, 0.25, 0.50, } SOLUTION: 12. all multiples of 8 SOLUTION: SOLUTION:
Write each set of numbers in set-builder and interval notation, if possible. 3. x 4 The set includes all real numbers less than or equal to 4. In set-builder notation this set can be described as {x x
More informationStudy Guide and Review - Chapter 6. Choose a word or term that best completes each statement.
Choose a word or term that best completes each statement. 1. If both compositions result in the,then the functions are inverse functions. identity function 2. In a(n), the results of one function are used
More informationRising 8th Grade Math. Algebra 1 Summer Review Packet
Rising 8th Grade Math Algebra 1 Summer Review Packet 1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract
More information3-3 Complex Numbers. Simplify. SOLUTION: 2. SOLUTION: 3. (4i)( 3i) SOLUTION: 4. SOLUTION: 5. SOLUTION: esolutions Manual - Powered by Cognero Page 1
1. Simplify. 2. 3. (4i)( 3i) 4. 5. esolutions Manual - Powered by Cognero Page 1 6. 7. Solve each equation. 8. Find the values of a and b that make each equation true. 9. 3a + (4b + 2)i = 9 6i Set the
More informationStudy Guide and Review - Chapter 12
Choose the correct term to complete each sentence. 1. The slope of a nonlinear graph at a specific point is the and can be represented by the slope of the tangent line to the graph at that point. The slope
More informationChapter 5: Exponents and Polynomials
Chapter 5: Exponents and Polynomials 5.1 Multiplication with Exponents and Scientific Notation 5.2 Division with Exponents 5.3 Operations with Monomials 5.4 Addition and Subtraction of Polynomials 5.5
More informationCopyright 2012 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 1/6
Course Name: MTH099 Fall 2012 Prov Course Code: ADPNR-EADAW ALEKS Course: Beginning and Intermediate Algebra Combined Instructor: Lynd Course Dates: Begin: 08/23/2012 End: 01/20/2013 Course Content: 210
More informationAlgebra 1 Correlation of the ALEKS course Algebra 1 to the Washington Algebra 1 Standards
Algebra 1 Correlation of the ALEKS course Algebra 1 to the Washington Algebra 1 Standards A1.1: Core Content: Solving Problems A1.1.A: Select and justify functions and equations to model and solve problems.
More informationALGEBRA 2/TRIGONMETRY TOPIC REVIEW QUARTER 2 POWERS OF I
ALGEBRA /TRIGONMETRY TOPIC REVIEW QUARTER Imaginary Unit: i = i i i i 0 = = i = = i Imaginary numbers appear when you have a negative number under a radical. POWERS OF I Higher powers if i: If you have
More informationCAHSEE Math Released Test Questions
Math Released Test Questions RTQ Item Numbers by Standard (Includes CST items for Standards on ) This document references Released Test Questions from the 2008 posted Test Questions (RTQs) and the 2003
More informationReteach Simplifying Algebraic Expressions
1-4 Simplifying Algebraic Expressions To evaluate an algebraic expression you substitute numbers for variables. Then follow the order of operations. Here is a sentence that can help you remember the order
More information10-2 Simplifying Radical Expressions. Simplify each expression. SOLUTION: 4. SOLUTION: SOLUTION: SOLUTION: 10. MULTIPLE CHOICE Which expression is
2. Simplify each expression. 10. MULTIPLE CHOICE Which expression is equivalent to? A B 4. C D 6. 8. 12. The correct choice is D. Simplify each expression. esolutions Manual - Powered by Cognero Page 1
More information8.1 Multiplication Properties of Exponents Objectives 1. Use properties of exponents to multiply exponential expressions.
8.1 Multiplication Properties of Exponents Objectives 1. Use properties of exponents to multiply exponential expressions. 2. Use powers to model real life problems. Multiplication Properties of Exponents
More informationGeometric Sequences and Series
12-2 OBJECTIVES Find the nth term and geometric means of a geometric sequence. Find the sum of n terms of a geometric series. Geometric Sequences and Series ACCOUNTING Bertha Blackwell is an accountant
More informationMAT 1033 Final Review for Intermediate Algebra (Revised April 2013)
1 This review corresponds to the Charles McKeague textbook. Answers will be posted separately. Section 2.1: Solve a Linear Equation in One Variable 1. Solve: " = " 2. Solve: "# = " 3. Solve: " " = " Section
More informationUse ordered pairs to locate points, to organize data,
Eighth Grade Math Scope and Sequence Lesson Title Lesson Objective(s) TEKS First Six Weeks Problem Solving Use problem solving strategies including making a plan and choosing an appropriate method of 8.1B;
More information5.1 Monomials. Algebra 2
. Monomials Algebra Goal : A..: Add, subtract, multiply, and simplify polynomials and rational expressions (e.g., multiply (x ) ( x + ); simplify 9x x. x Goal : Write numbers in scientific notation. Scientific
More informationCurriculum Catalog
2016-2017 Curriculum Catalog 2016 Glynlyon, Inc. Table of Contents ALGEBRA I FUNDAMENTALS COURSE OVERVIEW... ERROR! BOOKMARK NOT DEFINED. UNIT 1: FOUNDATIONS OF ALGEBRA... ERROR! BOOKMARK NOT DEFINED.
More informationIndex. Index. Index A53
A Addition of integers, 1 linear equations, 4 linear inequalities, 54 of polynomials, 337, 340 341, 396 Property of Equality, 4 of Inequality, 54 of radicals and square roots, 465, 470 in units of measure,
More informationHarbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities
Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute
More informationAnswers to Sample Exam Problems
Math Answers to Sample Exam Problems () Find the absolute value, reciprocal, opposite of a if a = 9; a = ; Absolute value: 9 = 9; = ; Reciprocal: 9 ; ; Opposite: 9; () Commutative law; Associative law;
More informationReview Topics. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review Topics MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. On the real number line, label the points with the given coordinates. 1) 11,- 11 1)
More information1-3lab accuracy 6 module 1 Relationships between quantities ch1-1 variables and expressions 7,8 ch1-2 order of operations 7,8 ch 1-3 properties of
module 0 standards 1-3lab accuracy 6 module 1 Relationships between quantities ch1-1 variables and expressions 7,8 ch1-2 order of operations 7,8 ch 1-3 properties of numbers 7,8 1-3 lab accuracy 6 ch1-4
More informationActivity 3.8 Logarithmic Functions
Name Activity 3.8 Logarithmic Functions Date Spheres are all around you (pardon the pun). You play sports with spheres like baseballs, basketballs, and golf balls. You live on a sphere. Earth is a big
More informationCenterville Jr. High School Curriculum Mapping Honors Algebra 1 st Nine Weeks Kristen Soots
Centerville Jr. High School Curriculum Mapping 1 st Nine Weeks Kristen Soots 1.0.2 RNE.1 & RNE.2 1.2.1 L.1 & L.2 How do you classify and use real numbers? How do you translate a verbal sentence into an
More informationCheck boxes of Edited Copy of Sp Topics (was 261-pilot)
Check boxes of Edited Copy of 10023 Sp 11 253 Topics (was 261-pilot) Intermediate Algebra (2011), 3rd Ed. [open all close all] R-Review of Basic Algebraic Concepts Section R.2 Ordering integers Plotting
More informationFinal Exam Study Guide Mathematical Thinking, Fall 2003
Final Exam Study Guide Mathematical Thinking, Fall 2003 Chapter R Chapter R contains a lot of basic definitions and notations that are used throughout the rest of the book. Most of you are probably comfortable
More informationAssignment: Summer Assignment Part 1 of 8 Real Numbers and Their Properties. Student: Date:
Student: Date: Assignment: Summer Assignment Part of 8 Real Numbers and Their Properties. Identify to which number groups (natural numbers, whole numbers, integers, rational numbers, real numbers, and
More informationSect Exponents: Multiplying and Dividing Common Bases
154 Sect 5.1 - Exponents: Multiplying and Dividing Common Bases Concept #1 Review of Exponential Notation In the exponential expression 4 5, 4 is called the base and 5 is called the exponent. This says
More informationContinuously Compounded Interest. Simple Interest Growth. Simple Interest. Logarithms and Exponential Functions
Exponential Models Clues in the word problems tell you which formula to use. If there s no mention of compounding, use a growth or decay model. If your interest is compounded, check for the word continuous.
More informationChapter 4: Radicals and Complex Numbers
Section 4.1: A Review of the Properties of Exponents #1-42: Simplify the expression. 1) x 2 x 3 2) z 4 z 2 3) a 3 a 4) b 2 b 5) 2 3 2 2 6) 3 2 3 7) x 2 x 3 x 8) y 4 y 2 y 9) 10) 11) 12) 13) 14) 15) 16)
More informationThe P/Q Mathematics Study Guide
The P/Q Mathematics Study Guide Copyright 007 by Lawrence Perez and Patrick Quigley All Rights Reserved Table of Contents Ch. Numerical Operations - Integers... - Fractions... - Proportion and Percent...
More information10-2 Arithmetic Sequences and Series
Determine the common difference, and find the next four terms of each arithmetic sequence. 1. 20, 17, 14, 17 20 = 3 14 17 = 3 The common difference is 3. Add 3 to the third term to find the fourth term,
More informationCurriculum Map: Mathematics
Curriculum Map: Mathematics Course: Honors Algebra II Grade(s): 9/10 Unit 1: Expressions, Equations, and Inequalities In this unit, students review basics concepts and skills of algebra studied in previous
More informationWhich one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x ) A) x = 5 B) x = -6 C) x = -5 D) x = 6
Review for Final Exam Math 124A (Flatley) Name Which one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x - 14 1) A) x = 5 B) x = -6 C) x = -5 D) x = 6 Solve the linear equation.
More informationProperties of Radicals
9. Properties of Radicals Essential Question How can you multiply and divide square roots? Operations with Square Roots Work with a partner. For each operation with square roots, compare the results obtained
More informationEach element of the domain is paired with exactly one element of the range. So, the relation is a function.
CCSS STRUCTURE State the domain and range of each relation. Then determine whether each relation is a function. If it is a function, determine if it is one-to-one, onto, both, or neither. 1. The left side
More informationAlgebra One Dictionary
Algebra One Dictionary Page 1 of 17 A Absolute Value - the distance between the number and 0 on a number line Algebraic Expression - An expression that contains numbers, operations and at least one variable.
More informationMiddle school mathematics is a prerequisite for Algebra 1A. Before beginning this course, you should be able to do the following:
Syllabus Algebra 1A Course Overview Algebra is a branch of mathematics that uses symbols in place of numbers to describe and generalize relationships. In Algebra 1A, you will explore relationships between
More informationExponential Functions and Their Graphs (Section 3-1)
Exponential Functions and Their Graphs (Section 3-1) Essential Question: How do you graph an exponential function? Students will write a summary describing the steps for graphing an exponential function.
More informationAlgebra 1 Duxbury Middle School > > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM
Algebra 1 Duxbury Middle School > 2016-2017 > Grade 8 > Mathematics > Algebra 1 > Iacadoro, Stephanie Tuesday, February 28, 2017, 11:58AM Unit Unit 0: Preparing for Algebra * for 282 only (Week 1, 9 Skills
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Rationalize the denominator and simplify. 1 1) B) C) 1 D) 1 ) Identify the pair of like
More informationMathematics (Core - Level: 08) Pre-Algebra Course Outline
Crossings Christian School Academic Guide Middle School Division Grades 5-8 Mathematics (Core - Level: 08) Course Outline Exponents and Exponential Functions s will simplify expressions with zero and negative
More informationAlgebra II Honors Final Exam Review
Class: Date: Algebra II Honors Final Exam Review Short Answer. Evaluate the series 5n. 8 n =. Evaluate the series (n + ). n = What is the sum of the finite arithmetic series?. 9+ + 5+ 8+ + + 59. 6 + 9
More informationPre-Calc 2nd Semester Review Packet - #2
Pre-Calc 2nd Semester Review Packet - #2 Use the graph to determine the function's domain and range. 1) 2) Find the domain of the rational function. 3) h(x) = x + 8 x2-36 A) {x x -6, x 6, x -8} B) all
More informationLearning Module 1 - Basic Algebra Review (Appendix A)
Learning Module 1 - Basic Algebra Review (Appendix A) Element 1 Real Numbers and Operations on Polynomials (A.1, A.2) Use the properties of real numbers and work with subsets of the real numbers Determine
More informationAlgebra I. Unit 1 Connections to Algebra
Unit 1 Connections to Algebra Time: 15 days Objectives: 1, 2, 8 and 9 Translate verbal into mathematical Write using exponents Use the order of operations to evaluate Solve open sentences by performing
More informationChapter 4: Radicals and Complex Numbers
Chapter : Radicals and Complex Numbers Section.1: A Review of the Properties of Exponents #1-: Simplify the expression. 1) x x ) z z ) a a ) b b ) 6) 7) x x x 8) y y y 9) x x y 10) y 8 b 11) b 7 y 1) y
More informationMy Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
More informationR1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member
Chapter R Review of basic concepts * R1: Sets A set is a collection of objects sets are written using set brackets each object in onset is called an element or member Ex: Write the set of counting numbers
More informationUsing the Laws of Exponents to Simplify Rational Exponents
6. Explain Radicals and Rational Exponents - Notes Main Ideas/ Questions Essential Question: How do you simplify expressions with rational exponents? Notes/Examples What You Will Learn Evaluate and simplify
More informationUnit 3: Linear and Exponential Functions
Unit 3: Linear and Exponential Functions In Unit 3, students will learn function notation and develop the concepts of domain and range. They will discover that functions can be combined in ways similar
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Algebra I Fundamentals is a full year, high school credit course that is intended for the student who has successfully mastered the core algebraic concepts covered in the prerequisite
More information2-6 Nonlinear Inequalities
31. Find the domain of each expression. For the expression to be defined, x 2 3x 40 0. Let f (x) = x 2 3x 40. A factored form of f (x) is f (x) = (x 8)(x + 5). f (x) has real zeros at x = 8 and x = 5.
More informationFinal Exam Review for DMAT 0310
Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x
More informationAlgebra 2A Unit 1 Week 1 Day Activity Unit 1 Week 2 Day Activity Unit 1 Week 3 Day Activity Unit 2 Week 1 Day Activity
Algebra 2A Unit 1 Week 1 1 Pretest Unit 1 2 Evaluating Rational Expressions 3 Restrictions on Rational Expressions 4 Equivalent Forms of Rational Expressions 5 Simplifying Rational Expressions Unit 1 Week
More informationALGEBRA GRADE 7 MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH. Part B Student Book Skill Builders (SB)
MINNESOTA ACADEMIC STANDARDS CORRELATED TO MOVING WITH MATH ALGEBRA GRADE 7 NUMBER AND OPERATION Read, write, represent and compare positive and negative rational numbers, expressed as integers, fractions
More informationCheck boxes of Edited Copy of Sp Topics (was 145 for pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and
Check boxes of Edited Copy of 10021 Sp 11 152 Topics (was 145 for pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and Additional Topics Appendix Course Readiness Multiplication
More information10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no , 3, 0, 3, 9
Determine whether each sequence is arithmetic. Write yes or no. 22. 9, 3, 0, 3, 9 Find the next four terms of each arithmetic sequence. Then graph the sequence. 26. 10, 2, 6, 14, There is no common difference.
More information7 = 8 (Type a simplified fraction.)
Student: Date: Assignment: Exponential and Radical Equations 1. Perform the indicated computation. Write the answer in scientific notation. 3. 10 6 10. 3. 4. 3. 10 6 10 = (Use the multiplication symbol
More informationx y x y ax bx c x Algebra I Course Standards Gap 1 Gap 2 Comments a. Set up and solve problems following the correct order of operations (including proportions, percent, and absolute value) with rational
More informationAcademic Outcomes Mathematics
Academic Outcomes Mathematics Mathematic Content Standards Overview: TK/ Kindergarten Counting and Cardinality: Know number names and the count sequence. Count to tell the number of objects. Compare numbers.
More information1-7 Compute with Scientific Notation
Evaluate each expression. Express the result in scientific notation. 1. (3.9 10 2 )(2.3 10 6 ) Use the Commutative and Associative Properties to group the factors and powers of 10. Multiply 3.9 and 2.3.
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 information10-2 Arithmetic Sequences and Series. Write an equation for the nth term of each arithmetic sequence. 29. SOLUTION: to find the nth term.
29 Write an equation for the nth term of each arithmetic sequence 32 CCSS STRUCTURE José averaged 123 total pins per game in his bowing league this season He is taking bowling lessons and hopes to bring
More information