Math 20-1 Functions and Equations Multiple Choice Questions
|
|
|
- Pierce Carr
- 6 years ago
- Views:
Transcription
1 Math 0-1 Functions and Equations Multiple Choice Questions simplifies to: A. 9 B. 10 C. 90 D. 4 ( x)(4 x) simplifies to: A. 1 x B. 1x 1 4 C. 1x D. 1 x 18 4 simplifies to: 6 A. 9 B. 4 C. D. 7 4 The area of the shaded region below is: A. B. 0 C. 0 0 D. 0 10
2 When written as a mixed radical, 4 equals A. 16 B. 486 C. 7 6 D The following problem involves the subtraction of radicals. In which step was the first error made? Step Question A. Step 1 B. Step C. Step D. Step 4 7 A student is working on a problem, and correctly enters it into her calculator. Her calculator entry is shown to the right. Which of the following accurately represents the problem she is attempting to evaluate? A. B. C. D Correct to the nearest tenth, the value of 7 11 is A. 0. B.. C. -6. D. -11.
3 9 A rectangular room measures m by 6 m. In one corner of the room is a door, and in the furthest opposite corner is a thermostat. Which of the following most closely represents the shortest walking distance between the door and the thermostat? A. 4 B. 10 C D When simplified the value of is A. 6 B. 7 C. 14 D. 11 A student is asked to rationalize the denominator in the expression. The value of k k 1. Her answer is A. B. 4 C. 6 D. 8 1 When written as an entire radical, 7 is equal to A. 8 B. 14 C. 98 D. 49
4 1 Jeff is working on 4 questions involving radicals. He is asked to respond to whether the statement in the question is true or false. His answers are in the chart below. Question Jeff s Answer (true/false) true 4 17 true false true How many questions did Jeff answer correctly? A. one B. two C. three D. four 14 A student is working on a problem, and correctly enters it into her calculator. Her calculator entry is shown to the right. Which of the following accurately represents the problem she is attempting to evaluate? A. 1 B. 1 C. D The dimensions of a rectangle are 8 m by 4 m, shown in the diagram on the right. The length of the diagonal can be calculated using the Pythagorean thereom; a b c. The exact value of the diagonal, shown by the dashed line is A. 4 B. C. 4 D. 16 When expanded and simplified as a mixed radical, the value of 1 1 is A. 1 B. 6 C. 6 1 D m 4 m
5 17 Sylvia is rationalizing the denominator for the expression Step Sylvia s first error was made in A. Step 1 B. Step C. Step D. Step Which of the following is a value for k making x + kx - 6 factorable? A. 18 B. -19 C. -7 D When completely factored, is a product of A. Two factors B. Three factors C. Four factors D. Five factors 1. Her four step solution is shown: 1 0. A polynomial expression is given by. One of its factors is A. t + B. t 4 C. t - 4 D. t In order for to be a perfect square trinomial, m must be A. ±144 B. ±1 C. ±48 D. ±4. One root of the equation is A. B. C. D.
6 Numerical Response 1 Expressed as a mixed radical, 40 would have a coefficient of. In the radical expression 7 11, the index number is. Expressed as an entire radical would have a radicand of. 4 4 Correct to the nearest tenth, the value of 10 is. If 000 k, then the value of k must be. 6 If 88 k, then the value of k must be. 7 When y x 18x 7 is written in the form y ( x ) k, the value of k must be. 8 The value of k making 4 4 x x k a perfect square trinomial is. Written Response 1 Determine the exact values of a and b in simplified mixed radical form b a 6
7 Express each of the below in simplest form. All denominators should be rationalized and all exponents shown as positive. a. 7 b. 6 c. d e f g. 9 h
8 A student is given three problems to solve. She correctly answers each question. Her answers are shown in the table below. Problem Problem #1 Problem # Problem # Simplify Expand and simplify 4 Simplify by rationalizing the denominator. Solution Determine how this student found her answers by showing all steps in each problem solution. 8 4 The following question is based on the diagram shown on the right. 6 A (0,6) a. Find the length of side AC using Pythagorean theorem ( a b c ), and represent your answer in simplest mixed radical form. b. Using your answer from (a), express the perimeter of the triangle in simplest mixed radical form B (-4,0) C (4,0) 4 - Complete each of the following; a. Multiply by its conjugate, and simplify your solution b. An estimated value of 6 is 10. Explain how a student can conclude that 10 is a correct estimation of c. Write the expression 48 in simplest mixed radical form. d. Rationalize the denominator for the expression. e. Write 10 as an entire radical.
9 6 Complete each of the following; a. Multiply by its conjugate, and simplify your solution. b. Write the expression 7 6 in simplest mixed radical form. c. Divide 0 00, and express your simplified answer with a rationalized denominator. d. Multiply 1 and express your answer in its simplest form. 7 A student attempts to solve the equation x x 7. Their solution is shown below; x x 9 6 x 1 6 x x 7 x (x 7) x 7 x 7 a. At this point in their solution, the student has made exactly two errors. Recopy their steps shown above, and circle exactly where their errors have occurred. What are the restrictions to the solution of this problem? b. The student correctly does the problem in their second attempt, and determines a simplified relation x 0x Solve this problem by factoring. c. Show that your answers from c correctly solve the problem x x 7.
10 8 Factor completely. a. b. c. d. e. f. g. h.
Math 20-1 Functions and Equations Multiple Choice Questions
Math 0- Functions and Equations Multiple Choice Questions 8 simplifies to: A. 9 B. 0 C. 90 ( )( ) simplifies to: A. B. C. 8 A. 9 B. C. simplifies to: The area of the shaded region below is: 0 0 A. B. 0
2017 SUMMER REVIEW FOR STUDENTS ENTERING GEOMETRY
2017 SUMMER REVIEW FOR STUDENTS ENTERING GEOMETRY The following are topics that you will use in Geometry and should be retained throughout the summer. Please use this practice to review the topics you
TABLE OF CONTENTS. Introduction to Finish Line Indiana Math 10. UNIT 1: Number Sense, Expressions, and Computation. Real Numbers
TABLE OF CONTENTS Introduction to Finish Line Indiana Math 10 UNIT 1: Number Sense, Expressions, and Computation LESSON 1 8.NS.1, 8.NS.2, A1.RNE.1, A1.RNE.2 LESSON 2 8.NS.3, 8.NS.4 LESSON 3 A1.RNE.3 LESSON
1Add and subtract 2Multiply radical
Then You simplified radical expressions. (Lesson 10-2) Now 1Add and subtract radical expressions. 2Multiply radical expressions. Operations with Radical Expressions Why? Conchita is going to run in her
Review Notes - Solving Quadratic Equations
Review Notes - Solving Quadratic Equations What does solve mean? Methods for Solving Quadratic Equations: Solving by using Square Roots Solving by Factoring using the Zero Product Property Solving by Quadratic
5.1 Multiplying and Dividing Radical Expressions
Practice 5. Multiplying and Dividing Radical Expressions Multiply, if possible. Then simplify. To start, identify the index of each radical.. 4 # 6. 5 # 8. 6 # 4 9 index of both radicals is 4 # 6 Simplify.
Introductory Algebra Chapter 9 Review
Introductory Algebra Chapter 9 Review Objective [9.1a] Find the principal square roots and their opposites of the whole numbers from 0 2 to 2 2. The principal square root of a number n, denoted n,is the
NOTES: Chapter 11. Radicals & Radical Equations. Algebra 1B COLYER Fall Student Name:
NOTES: Chapter 11 Radicals & Radical Equations Algebra 1B COLYER Fall 2016 Student Name: Page 2 Section 3.8 ~ Finding and Estimating Square Roots Radical: A symbol use to represent a. Radicand: The number
MATH 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
Ch. 5.8 Solving Quadratic Equations A quadratic equation in standard form is an equation in the form: ax 2 + bx + c = 0
Ch. 5.8 Solving Quadratic Equations A quadratic equation in standard form is an equation in the form: ax + bx + c = 0 Notice this is a trinomial that is set equal to 0. If this trinomial can be factored,
Analysis. The student was expected to know and use the Pythagorean theorem to find the missing side. a 2 + b 2 = c 2
Analysis. Correct Answer : meters (m) The student was epected to know and use the Pythagorean theorem to find the missing side. a + b c 8 + 7 64 + 89 89 64 SKILL: Use the Pythagorean theorem to find the
Section 5.1 Extra Practice
Name: Date: Section.1 Etra Practice BLM 1. Epress each radical as a simplified mied radical. 0 98, 0 6 y, 0, y 0. Epress each mied radical as an equivalent entire radical. 1 9, 0 y 7 y, 0, y 0. Order each
Chapter 8 RADICAL EXPRESSIONS AND EQUATIONS
Name: Instructor: Date: Section: Chapter 8 RADICAL EXPRESSIONS AND EQUATIONS 8.1 Introduction to Radical Expressions Learning Objectives a Find the principal square roots and their opposites of the whole
Unit 3: Review for Final Exam
Unit 3: Review for Final Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization of 1386. a. b. c. d. 2. Determine the greatest
Simplifying Radicals. multiplication and division properties of square roots. Property Multiplication Property of Square Roots
10-2 Simplifying Radicals Content Standard Prepares for A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Objective To simplify
Lesson 9: Radicals and Conjugates
Lesson 9: Radicals and Conjugates Student Outcomes Students understand that the sum of two square roots (or two cube roots) is not equal to the square root (or cube root) of their sum. Students convert
Math 75 Mini-Mod Due Dates Spring 2016
Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing
Square Root Functions 10.1
Square Root Functions 10.1 Square Root Function contains the square root of the variable. Parent Function: f ( x) = Type of Graph: Curve Domain: x 0 Range: y 0 x Example 1 Graph f ( x) = 2 x and state
My 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.
MATH: A2. ADE Summer Item Writing Institute. Performance-Based Assessment. x f(x) g(x)
Date: 6/11/2013 A-REI.11-2 Task Type: I II III Math Practice: 1 2 3 4 5 6 7 8 x f(x) g(x) If g(x) = 1 4 (x 2)2 + 1, find all values of x to the nearest tenth where f(x) = g(x). X= Click to enter Another
Definitions Term Description Examples Mixed radical the product of a monomial and a radical
Chapter 5 Radical Expressions and Equations 5.1 Working With Radicals KEY IDEAS Definitions Term Description Examples Mixed radical the product of a monomial and a radical index radical sign -8 45 coefficient
Equations and Inequalities. College Algebra
Equations and Inequalities College Algebra Radical Equations Radical Equations: are equations that contain variables in the radicand How to Solve a Radical Equation: 1. Isolate the radical expression on
Florida Math Curriculum (433 topics)
Florida Math 0028 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
Prealgebra and Elementary Algebra
Prealgebra and Elementary Algebra 978-1-63545-035-4 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek,
Algebra 1B. Unit 9. Algebraic Roots and Radicals. Student Reading Guide. and. Practice Problems
Name: Date: Period: Algebra 1B Unit 9 Algebraic Roots and Radicals Student Reading Guide and Practice Problems Contents Page Number Lesson 1: Simplifying Non-Perfect Square Radicands 2 Lesson 2: Radical
Mission 1 Factoring by Greatest Common Factor and Grouping
Algebra Honors Unit 3 Factoring Quadratics Name Quest Mission 1 Factoring by Greatest Common Factor and Grouping Review Questions 1. Simplify: i(6 4i) 3+3i A. 4i C. 60 + 3 i B. 8 3 + 4i D. 10 3 + 3 i.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 2 Stud Guide-Chapters 8 and 9 Name Date: Time: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all square roots of the number. ) 600 9,
MATH 125 ELAC SPRING 2018 TEST 2 REVIEW SHEET NAME: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 125 ELAC SPRING 2018 TEST 2 REVIEW SHEET NAME: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) 5x + 5 + 3 = 12 1) 2) 3 5x + 4 + 5 = 0 2)
Chapter 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
Summer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
OBJECTIVES UNIT 1. Lesson 1.0
OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint
Check 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 Sp Topics (was 145 for pilot) Beginning Algebra, 3rd Ed. [open all close all] Course Readiness and](/thumbs/81/82758218.jpg "Check 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
Name: Class: IM8 Block:
Name: Block: Class: IM8 Investigation 1: Mathematical Properties and Order of Operations Mathematical Properties 2 Practice Level 1: Write the name of the property shown in the examples below. 1. 4 + 5
Name Period Date. Use mathematical reasoning to create polynomial expressions that generalize patterns. Practice polynomial arithmetic.
Name Period Date POLYNOMIALS Student Packet 4: Polynomial Arithmetic Applications POLY4.1 Hundred Chart Patterns Gather empirical data to form conjectures about number patterns. Write algebraic expressions.
MATH98 Intermediate Algebra Practice Test Form A
MATH98 Intermediate Algebra Practice Test Form A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + ) = 3y 1) A)
Controlling the Population
Lesson.1 Skills Practice Name Date Controlling the Population Adding and Subtracting Polynomials Vocabulary Match each definition with its corresponding term. 1. polynomial a. a polynomial with only 1
Summer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
Algebra I Chapter 4 Curriculum and IXL
Chapter 4 Curriculum and IXL C4L1 Functions and Non-Functions Represent relations as mappings, sets of points, and graphs: WS Determine whether a relation is a function or not: WS C4L2 Linear and Non-Linear
9-8 Completing the Square
In the previous lesson, you solved quadratic equations by isolating x 2 and then using square roots. This method works if the quadratic equation, when written in standard form, is a perfect square. When
How do you write and evaluate algebraic expressions? How can algebraic expressions and equations represent actual situations?
Topic: Expressions, Equations and Functions Days: 13 Key Learning: Expressions, equations, tables and graphs are used to model realworld situations. Unit Essential Question(s): How do you write and evaluate
8th Grade The Number System and Mathematical Operations Part
Slide 1 / 157 Slide 2 / 157 8th Grade The Number System and Mathematical Operations Part 2 2015-11-20 www.njctl.org Slide 3 / 157 Table of Contents Squares of Numbers Greater than 20 Simplifying Perfect
8th Grade. The Number System and Mathematical Operations Part 2.
1 8th Grade The Number System and Mathematical Operations Part 2 2015 11 20 www.njctl.org 2 Table of Contents Squares of Numbers Greater than 20 Simplifying Perfect Square Radical Expressions Approximating
High School Preparation for Algebra 1
High School Preparation for Algebra 1 This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence
Basic Fraction and Integer Operations (No calculators please!)
P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.
Check 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
Eureka Math. Algebra II Module 1 Student File_A. Student Workbook. This file contains Alg II-M1 Classwork Alg II-M1 Problem Sets
Eureka Math Algebra II Module 1 Student File_A Student Workbook This file contains Alg II- Classwork Alg II- Problem Sets Published by the non-profit GREAT MINDS. Copyright 2015 Great Minds. No part of
RAVEN S MANITOBA GRADE 10 INTRODUCTION TO APPLIED AND PRE CALCULUS MATHEMATICS (20S)
RAVEN S MANITOBA GRADE 10 INTRODUCTION TO APPLIED AND PRE CALCULUS MATHEMATICS (20S) LINKED DIRECTLY TO NEW CURRICULUM REQUIREMENTS FROM THE WESTERN PROTOCOLS FOR 2008 AND BEYOND STUDENT GUIDE AND RESOURCE
SUMMER REVIEW PACKET. Name:
Wylie East HIGH SCHOOL SUMMER REVIEW PACKET For students entering Regular PRECALCULUS Name: Welcome to Pre-Calculus. The following packet needs to be finished and ready to be turned the first week of the
Florida Math 0022 Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies - Lower and Upper
Florida Math 0022 Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies - Lower and Upper Whole Numbers MDECL1: Perform operations on whole numbers (with applications,
Lake Elsinore Unified School District Pacing Guide & Benchmark Assessment Schedule Algebra 1 Essentials
1.0 Students identify and use the arithmetic properties of subsets of integers, including closure properties for the four basic arithmetic operations where applicable: 1.1 Students use properties of numbers
SHOW YOUR WORK. Complete the problem in the space provided. Circle your final answer. Show work for possible partial credit.
Math 116B Group Review Assignment (10.6, 10.7, 11.1-11.3) Print Name SHOW YOUR WORK. Complete the problem in the space provided. Circle your final answer. Show work for possible partial credit. Solve.
Radicals: To simplify means that 1) no radicand has a perfect square factor and 2) there is no radical in the denominator (rationalize).
Summer Review Packet for Students Entering Prealculus Radicals: To simplify means that 1) no radicand has a perfect square factor and ) there is no radical in the denominator (rationalize). Recall the
Algebra 1 Mod 1 Review Worksheet I. Graphs Consider the graph below. Please do this worksheet in your notebook, not on this paper.
Algebra 1 Mod 1 Review Worksheet I. Graphs Consider the graph below Please do this worksheet in your notebook, not on this paper. A) For the solid line; calculate the average speed from: 1) 1:00 pm to
Review Unit Multiple Choice Identify the choice that best completes the statement or answers the question.
Review Unit 3 1201 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following numbers is not both a perfect square and a perfect cube? a. 531
CURRICULUM CATALOG MATHEMATICS 1 (21032X0) NC
2018-19 CURRICULUM CATALOG MATHEMATICS 1 (21032X0) NC Table of Contents MATHEMATICS 1 (21032X0) NC COURSE OVERVIEW... 1 UNIT 1: FOUNDATIONS OF ALGEBRA... 1 UNIT 2: EQUATIONS AND INEQUALITIES... 1 UNIT
Section 9.2 Objective: Students will be able to define and work with irrational numbers.
Lincoln Public Schools Math 8 McDougall Littell Middle School Math Course 3 Chapter 9 Items marked A, B, C are increasing in difficulty. Group A questions are the most basic while Group C are the most
Algebra 1 Math Year at a Glance
Real Operations Equations/Inequalities Relations/Graphing Systems Exponents/Polynomials Quadratics ISTEP+ Radicals Algebra 1 Math Year at a Glance KEY According to the Indiana Department of Education +
Algebra I Unit Report Summary
Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02
B. Complex number have a Real part and an Imaginary part. 1. written as a + bi some Examples: 2+3i; 7+0i; 0+5i
Section 11.8 Complex Numbers I. The Complex Number system A. The number i = -1 1. 9 and 24 B. Complex number have a Real part and an Imaginary part II. Powers of i 1. written as a + bi some Examples: 2+3i;
3.1 Solving Quadratic Equations by Factoring
3.1 Solving Quadratic Equations by Factoring A function of degree (meaning the highest exponent on the variable is ) is called a Quadratic Function. Quadratic functions are written as, for example, f(x)
7.5 Rationalizing Denominators and Numerators of Radical Expressions
440 CHAPTER Rational Exponents, Radicals, and Complex Numbers 86. Find the area and perimeter of the trapezoid. (Hint: The area of a trapezoid is the product of half the height 6 meters and the sum of
8th Grade. Slide 1 / 157. Slide 2 / 157. Slide 3 / 157. The Number System and Mathematical Operations Part 2. Table of Contents
Slide 1 / 157 Slide 2 / 157 8th Grade The Number System and Mathematical Operations Part 2 2015-11-20 www.njctl.org Table of Contents Slide 3 / 157 Squares of Numbers Greater than 20 Simplifying Perfect
Algebra 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
2-6 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.
Bishop Kelley High School Summer Math Program Course: Algebra 2 A
06 07 Bishop Kelley High School Summer Math Program Course: Algebra A NAME: DIRECTIONS: Show all work in packet!!! The first 6 pages of this packet provide eamples as to how to work some of the problems
Math 1302 Notes 2. How many solutions? What type of solution in the real number system? What kind of equation is it?
Math 1302 Notes 2 We know that x 2 + 4 = 0 has How many solutions? What type of solution in the real number system? What kind of equation is it? What happens if we enlarge our current system? Remember
= 9 = x + 8 = = -5x 19. For today: 2.5 (Review) and. 4.4a (also review) Objectives:
Math 65 / Notes & Practice #1 / 20 points / Due. / Name: Home Work Practice: Simplify the following expressions by reducing the fractions: 16 = 4 = 8xy =? = 9 40 32 38x 64 16 Solve the following equations
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 3 x 9 D) 27. y 4 D) -8x 3 y 6.
Precalculus Review - Spring 018 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify the exponential expression. Assume that variables represent
Answers 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;
Big Ideas: determine an approximate value of a radical expression using a variety of methods. REVIEW Radicals
Big Ideas: determine an approximate value of a radical expression using a variety of methods. REVIEW N.RN. Rewrite expressions involving radicals and rational exponents using the properties of exponents.
Unit: Solving Quadratic Equations
Unit: Solving Quadratic Equations Name Dates Taught Outcome 11P.R.1. Factor polynomial expressions of the of the form o ax 2 - bx +c = 0, a 0 o a 2 x 2 b 2 y 2 - c = 0, a 0 b 0 o a(f(x)) 2 b(f(x))x +c
Chapter R - Review of Basic Algebraic Concepts (26 topics, no due date)
Course Name: Math 00023 Course Code: N/A ALEKS Course: Intermediate Algebra Instructor: Master Templates Course Dates: Begin: 08/15/2014 End: 08/15/2015 Course Content: 245 topics Textbook: Miller/O'Neill/Hyde:
Level Unit Chapter Lesson ChapterTitle LessonTitle Introduction Introduction How to take the placement tests How to take the
Level Unit Chapter Lesson ChapterTitle LessonTitle 0 0 1 1 Introduction Introduction 0 0 2 1 How to take the placement tests How to take the placement tests 0 0 3 0 Placement Test I 0 0 4 0 Placement Test
REVIEW, pages
REVIEW, pages 156 161 2.1 1. For each pair of numbers, write two expressions to represent the distance between the numbers on a number line, then determine this distance. a) 1 8 and 1 4 b) 7.5 and -.75
SUMMER MATH PACKET students. Entering Geometry-2B
SUMMER MATH PACKET students Entering Geometry-2B The problems in this packet have been selected to help you to review concepts in preparation for your next math class. Please complete the odd problems
8th Grade The Number System and Mathematical Operations Part
Slide 1 / 157 Slide 2 / 157 8th Grade The Number System and Mathematical Operations Part 2 2015-11-20 www.njctl.org Slide 3 / 157 Table of Contents Squares of Numbers Greater than 20 Simplifying Perfect
Chapter 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)
Name: Math 9. Comparing & Ordering Rational Numbers. integers (positive or negative numbers, no decimals) and b 0
Page 1 Ch.2- Rational Numbers 2.1 Name: Math 9 What is a rational number? Comparing & Ordering Rational Numbers A number that can be expressed as a b (a fraction), where a and b are integers (positive
MATH98 Intermediate Algebra Practice Test Form B
MATH98 Intermediate Algebra Practice Test Form B MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + 9) = y 1) -
ALGEBRA I CURRICULUM OUTLINE
ALGEBRA I CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines
Give 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.
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
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
Algebra 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
ALGEBRA 1B GOALS. 1. The student should be able to use mathematical properties to simplify algebraic expressions.
GOALS 1. The student should be able to use mathematical properties to simplify algebraic expressions. 2. The student should be able to add, subtract, multiply, divide, and compare real numbers. 3. The
Elementary Algebra
Elementary Algebra 978-1-63545-068-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Lynn Marecek, Santa Ana College MaryAnne
2.1 The Complex Number System
.1 The Complex Number System The approximate speed of a car prior to an accident can be found using the length of the tire marks left by the car after the brakes have been applied. The formula s = 11d
6-5 Study Guide and Intervention
6-5 Study Guide and Intervention Simplify Radicals Product Property of Radicals For any real numbers a and b, and any integer n > 1: 1. if n is even and a and b are both nonnegative, then n ab n a n b.
SECTION Types of Real Numbers The natural numbers, positive integers, or counting numbers, are
SECTION.-.3. Types of Real Numbers The natural numbers, positive integers, or counting numbers, are The negative integers are N = {, 2, 3,...}. {..., 4, 3, 2, } The integers are the positive integers,
Lesson 1: Successive Differences in Polynomials
Lesson 1 Lesson 1: Successive Differences in Polynomials Classwork Opening Exercise John noticed patterns in the arrangement of numbers in the table below. 2.4 3.4 4.4 5.4 6.4 5.76 11.56 19.36 29.16 40.96
Unit 8 Practice Problems Lesson 1
Unit 8 Practice Problems Lesson 1 Problem 1 Find the area of each square. Each grid square represents 1 square unit. 17 square units. 0 square units 3. 13 square units 4. 37 square units Problem Find the
Level 1: Simplifying (Reducing) Radicals: 1 1 = 1 = 2 2 = 4 = 3 3 = 9 = 4 4 = 16 = 5 5 = 25 = 6 6 = 36 = 7 7 = 49 =
Name Period Date Unit 5:Special Right Triangles and TrigonometryNotes Packet #1 Section 7.2/7.3: Radicals, Pythagorean Theorem, Special Right Triangles (PA) CRS NCP 24-27 Work with squares and square roots
LESSON 9.1 ROOTS AND RADICALS
LESSON 9.1 ROOTS AND RADICALS LESSON 9.1 ROOTS AND RADICALS 67 OVERVIEW Here s what you ll learn in this lesson: Square Roots and Cube Roots a. Definition of square root and cube root b. Radicand, radical
Virginia Unit-Specific Learning Pathways. Grades 6-Algebra I: Standards of Learning
BUI L T F O VIR R G INIA 2014 2015 Virginia -Specific Learning Pathways Grades 6-Algebra I: Standards of Learning Table of Contents Grade 6...3 Grade 7...6 Grade 8...9 Algebra I... 11 Grade 6 Virginia
HSED Math Course Outcome Summary
Wisconsin Technical College System HSED 5.09 - Math Course Outcome Summary Course Information Description Learners will apply math concepts in real-world context including financial literacy consumer applications.
Developed in Consultation with Virginia Educators
Developed in Consultation with Virginia Educators Table of Contents Virginia Standards of Learning Correlation Chart.............. 6 Chapter 1 Expressions and Operations.................... Lesson 1 Square
Secondary Math 2H Unit 3 Notes: Factoring and Solving Quadratics
Secondary Math H Unit 3 Notes: Factoring and Solving Quadratics 3.1 Factoring out the Greatest Common Factor (GCF) Factoring: The reverse of multiplying. It means figuring out what you would multiply together
Solving 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
Math 2 Variable Manipulation Part 2 Powers & Roots PROPERTIES OF EXPONENTS:
Math 2 Variable Manipulation Part 2 Powers & Roots PROPERTIES OF EXPONENTS: 1 EXPONENT REVIEW PROBLEMS: 2 1. 2x + x x + x + 5 =? 2. (x 2 + x) (x + 2) =?. The expression 8x (7x 6 x 5 ) is equivalent to?.
Section 4.3: Quadratic Formula
Objective: Solve quadratic equations using the quadratic formula. In this section we will develop a formula to solve any quadratic equation ab c 0 where a b and c are real numbers and a 0. Solve for this
MATCHING. Match the correct vocabulary word with its definition
Name Algebra I Block UNIT 2 STUDY GUIDE Ms. Metzger MATCHING. Match the correct vocabulary word with its definition 1. Whole Numbers 2. Integers A. A value for a variable that makes an equation true B.