Math 40 Chapter 2 Lecture Notes. Professor Miguel Ornelas
|
|
|
- Denis Gilmore
- 6 years ago
- Views:
Transcription
1 Math 40 Chapter 2 Lecture Notes Professor Miguel Ornelas 1
2 M. Ornelas Math 40 Lecture Notes Section 2.1 Section 2.1 Addition and Multiplication Properties of Equality Addition Property of Equality If A = B then A + C = B + C Multiplication Property of Equality If A = B then AC = BC Addition Property of Equality Solve each equation. a. x + 10 = 21 b. 5 = x + 9 c. t = 8 3 d. y 5 6 = 7 8 e z = 1 2 f. 7.8 = x Section 2.1 continued on next page... 2
3 M. Ornelas Math 40 Lecture Notes Section 2.1 (continued) Multiplication Property of Equality Solve each equation. a. 6x = 72 b. 7y = 49 c. a 3 = 15 d. 3 4 r = 27 e. 2 7 = x 5 f. 3.4t = 20.4 Laura plays a basketball game in which she scores 19 points total with a combination of free throws, twopointers and three-pointers. If she made one free throw and three two-pointers, write an equation and find the number of three pointers that she made. Section 2.1 continued on next page... 3
4 M. Ornelas Math 40 Lecture Notes Section 2.1 (continued) Section 2.2 Solving Linear Equations Solve each equation. a. 2x + 5 = 9 b. 4x 1 + 5x = 9x + 3 7x c. 2(x 3) = 5x 9 d. y 3 y 4 = 1 6 e. 5(m 3) + 2(3m + 1) = 15 8 f. 0.3x = 0.27x 0.02 g. 1 3 x = 1 5 x 2 5 h a = Section 2.2 continued on next page... 4
5 M. Ornelas Math 40 Lecture Notes Section 2.2 (continued) Section 2.3 Formulas Formula I = P RT A = lw d = rt C = 2πr V = lwh Meaning Interest = principal rate time Areas of rectangle = length width Distance = rate time Circumference of a circle = 2 π radius Volume of a rectangular solid = length width height Solving a Formula for a Specified Variable Solve for the indicated variable. a. A = bh for h b. 3y 2x = 9 for y c. A = 1 bh for b 2 d. A = πr 2 for r 2 e. E = MC 2 for M f. F = 9 C + 32 for C 5 g. h = vt + 16t 2 for v h. A = P + P rt for P Section 2.3 continued on next page... 5
6 M. Ornelas Math 40 Lecture Notes Section 2.3 (continued) Basic Percent Problems a. What is 20% of 78? b. What percent of 32 is 25? If Maria paid in sales tax $3.24 on a $36 sweater, what percent of the total price was sales tax? In 2011, Drew Brees of the New Orleans Saints completed 468 passes. This was 71.2% of his attempts. How many attempts did he make? Section 2.4 Problem Solving 1. The length of a rectangle is 5 inches more than twice the width. The perimeter is 34 inches. Find the length and width. Section 2.4 continued on next page... 6
7 M. Ornelas Math 40 Lecture Notes Section 2.4 (continued) 2. Jaime is 3 years older than Michele. Four years ago the sum of their ages was 67. Find the age of each person now. 3. Karina has $4.35 in nickels and quarters. If she has 15 more nickels than quarters, how many of each coin does she have? 4. Raquel paid $68 for a pair of shoes during a 20%-off sale. What was the regular price? Section 2.4 continued on next page... 7
8 M. Ornelas Math 40 Lecture Notes Section 2.4 (continued) Section 2.5 More Problem Solving 1. The second angle of an architect s triangle is three times as large as the first. The third angle is 30 more than the first. Find the measure of each angle. 2. Adela is selling tickets to her play. Adult tickets cost $6.00 and children s tickets cost $4.00. She sells six more children s tickets than adult tickets. The total amount of money she collects is $184. How many adult tickets and how many children tickets did she sell? 3. Antwan has two savings accounts opened. The two accounts pays 10% and 12% in annual interest; there is $500 more in the account that pays 12% than there is in the other. If the total interest for a year is $214, how much money does he have in each account? Section 2.5 continued on next page... 8
9 M. Ornelas Math 40 Lecture Notes Section 2.5 (continued) 4. The houses on Elm street are consecutive odd numbers. Freddy Krueger and Michael Myers next-door neighbors and the sum of their house numbers is 572. Find their house numbers. 5. In New York City, taxis charge $3.00 plus $0.40 per one-fifth mile for peak fares. How far can Lourdes travel for $17.50 (assuming a peak fare)? Section 2.6 Solving Inequalities Solve and graph each inequality. Write the solution set using both set-builder and interval notation. a. 2x b. 3(x 5) < 2(2x 1) Section 2.6 continued on next page... 9
10 M. Ornelas Math 40 Lecture Notes Section 2.6 (continued) c. 4 5 a 2 > 10 d. 7 6 y y 7 6 e. 8 6(x 3) < 4x + 12 f. 3(m 2) 4 7m + 14 Section 2.7 Compound Inequalities Solve and graph each inequality. Write the solution set using both set-builder and interval notation. a. x < 1 or x > 5 b. 3x and 2x Section 2.7 continued on next page... 10
11 M. Ornelas Math 40 Lecture Notes Section 2.7 (continued) c. 3x 1 < 5 or 5x 5 > 10 d. 3x + 9 < 7 or 2x 7 > 11 e. 7 2x 3 7 f. 8 < 7x 1 13 The engine in a car gives off a lot of heat due to combustion in the cylinders. The water used to cool the engine keeps the temperature within the range 50 9 C Solve this inequality and graph the 5 solution set. 11
2.1 Simplifying Algebraic Expressions
.1 Simplifying Algebraic Expressions A term is a number or the product of a number and variables raised to powers. The numerical coefficient of a term is the numerical factor. The numerical coefficient
Math 101, Basic Algebra. Solving Linear Equations and Inequalities
Math 101, Basic Algebra Author: Debra Griffin Name Chapter 2 Solving Linear Equations and Inequalities 2.1 Simplifying Algebraic Expressions 2 Terms, coefficients, like terms, combining like terms, simplifying
Section 2.1 Objective 1: Determine If a Number Is a Solution of an Equation Video Length 5:19. Definition A in is an equation that can be
Section 2.1 Video Guide Linear Equations: The Addition and Multiplication Properties of Equality Objectives: 1. Determine If a Number Is a Solution of an Equation 2. Use the Addition Property of Equality
MATH 0030 Lecture Notes Section 2.1 The Addition Property of Equality Section 2.2 The Multiplication Property of Equality
MATH 0030 Lecture Notes Section.1 The Addition Property of Equality Section. The Multiplication Property of Equality Introduction Most, but not all, salaries and prices have soared over the decades. To
Free Pre-Algebra Practice Cumulative Final Exam! page 1
Free Pre-Algebra Practice Cumulative Final Exam! page 1 Cumulative, Excluding Optional Sections Practice Final Exam Your instructor may choose a different selection of course topics to emphasize in your
Ex: Determine if the following are true or false. Ex: Determine whether 4 is a solution of x + 6 = 10
2.1 Solving Equations Using Properties of Equality True and False Equations Ex: Determine if the following are true or false. 1) 3 + 4 = 7 2) 3 + 4 = 8 3) x + 6 = 10 Ex: Determine whether 4 is a solution
Ask questions such as If you ate a total of 30 cookies, some in the morning and 12 in the afternoon, how many crackers did you eat in the morning?
Welcome to Summer Vacation! Your child has worked hard this school year to strengthen their ability as a young Mathematician. Remember that learning does not stop outside the classroom. Daily routines
Name Date Class. 5 y x + 7
Name Date Class 7.EE.1 SELECTED RESPONSE Select the correct answer. 1. What property allows the expression.7x + 10. + 15.3x 8.x + 15.6 to be simplified to the equivalent expression 0x + 10. 8.x + 15.6?
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 051 Midterm Examination Review
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 051 Midterm Examination Review Do ONLY 4 CHAPTERS. Your instructor will tell you which 4 chapters to complete. Everyone is required
In 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
St. Michael s Episcopal School. Summer Math
St. Michael s Episcopal School Summer Math for rising 7th & 8 th grade Algebra students 2017 Eighth Grade students should know the formulas for the perimeter and area of triangles and rectangles, the circumference
MATH 080 Final-Exam Review
MATH 080 Final-Exam Review Can you simplify an expression using the order of operations? 1) Simplify 32(11-8) - 18 3 2-3 2) Simplify 5-3 3-3 6 + 3 A) 5 9 B) 19 9 C) - 25 9 D) 25 9 Can you evaluate an algebraic
Name Class Date. Describe each pattern using words. Draw the next figure in each pattern Input Output
1-1 Practice Patterns and Expressions Form G Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output
Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D.
Name 1. Given the solution (, y), what is the value of y if x + y = 6? 7. The graph of y = x is shown below. 5 D. 6. What are the solutions to the equation x - x = 0? x = - or x = - x = - or x = 1 x =
UNIT 2 SOLVING EQUATIONS
UNIT 2 SOLVING EQUATIONS NAME: GRADE: TEACHER: Ms. Schmidt _ Solving One and Two Step Equations The goal of solving equations is to. We do so by using. *Remember, whatever you to do one side of an equation.
6-A2 Problem Solving Using Inequalities Alg 1H
6-A Problem Solving Using Inequalities Alg H Solve by using a variable to write an inequality based on the given information. All work must be shown neatly on notebook paper.. The sum of two consecutive
1 Which expression represents 5 less than twice x? 1) 2) 3) 4)
1 Which expression represents 5 less than twice x? 2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 012/051 Final Examination Review Form H. Multiple Choice Problems
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 012/051 Final Examination Review Form H Multiple Choice Problems 1. If a = -1 and b = -2, find the value of!3a2 b + 2b 3 a. a) -2 b)
ASU Mathematics Placement Test Sample Problems June, 2000
ASU Mathematics Placement Test Sample Problems June, 000. Evaluate (.5)(0.06). Evaluate (.06) (0.08). Evaluate ( ) 5. Evaluate [ 8 + ( 9) ] 5. Evaluate 7 + ( ) 6. Evaluate ( 8) 7. Evaluate 5 ( 8. Evaluate
Chapter 6 review. 1. Which statement is true about the graphs of these equations?
Name: Date: 1. Which statement is true about the graphs of these equations? y = 6x + 4 y = 5x 2 A. The lines intersect, but are not perpendicular. B. The lines are parallel. 4. Members of a senior class
Chapter 8 Standardized Test A
Chapter 8 Standardized Test A Test-Taking Strategy As you take a test, avoid spending too much time on any one question. Go on to another question and come back later if time permits. 1. Which ratio is
NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6).
Review #11 NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6). 2. The graph of a line that contains the points (-3, 2) and
ALGEBRA I EOC REVIEW PACKET Name 16 8, 12
Objective 1.01 ALGEBRA I EOC REVIEW PACKET Name 1. Circle which number is irrational? 49,. Which statement is false? A. a a a = bc b c B. 6 = C. ( n) = n D. ( c d) = c d. Subtract ( + 4) ( 4 + 6). 4. Simplify
2-4 Solving Equations with the Variable on Each Side. Solve each equation. Check your solution x + 2 = 4x + 38 ANSWER: 4 ANSWER:
1. 13x + 2 = x + 38 9. MULTIPLE CHOICE Find the value of x so that t figures have the same perimeter. 2. 3. 6(n + ) = 18 7. 7 = 11 + 3(b + 5) 1 5. 5 + 2(n + 1) = 2n 6. 7 3r = r (2 + r) 7. 1v + 6 = 2(5
Math 0301 Course Review. 1) 8 less the quotient of 52 and 4. 2) The product of 7 and 25. 9) 5x 3.2y + 6.8z 1.1x + 0.2y 10) (11x 9) (43x 2)
Simplify: Math Course Review ) 8 less the quotient of and. ) The product of 7 and. (7)( )() ) 9 less than the product of and 8. ) ( 8) ( ) ) 7(8) ( [ 9]) ) 9 { 8[ ()] + } 7) 7 ( ) ( ) 8) 9 ( ) + 7 9) x.y
Kwan went to the store with $20 and left the store with his purchases and $7.35. How much money did Kwan spend?
Name Score Benchmark Test 1 Math Course 2 For use after Lesson 0 1. (1) At Washington School there are 2 classrooms and an average of 25 students in each classroom. Which equation shows how to find the
1.) The number of points a basketball player scored each game for one week is recorded. Which is a not a statistical question for the situation?
6 th Grade Math Common Assessment: Chapter 6 Name: Date 6.SP.1 1.) The number of points a basketball player scored each game for one week is recorded. Which is a not a statistical question for the situation?
1. The sum of four consecutive even numbers is 52. What is the largest of these numbers?
1. The sum of four consecutive even numbers is 52. What is the largest of these numbers? 26 22 C 16 10 2. In a high school basketball game, Sarah scored 10 points in the first half of the game. In the
2-1 More on Solving Equations Wednesday, May 26, :22 PM
2-1 More on Solving Equations Wednesday, May 26, 2010 12:22 PM Objective: Students will solve basic equations Remember: Algebra is an Arabic word meaning: to "undo" and "balance" Solve: Solve b. Chapter
1-1 Practice. Patterns and Expressions. Describe each pattern using words. Draw the next figure in each pattern.
1-1 Practice Patterns and Expressions Describe each pattern using words. Draw the next figure in each pattern. 1. 2. 3. Copy and complete each table. Include a process column. 4. 5. 6. Input Output Input
CCR Math - Grade 7 Practice Test
R Math - Grade 7 Practice Test You may use a calculator for questions -7.. Use the picture below to answer the question. A B What is the probability of spinning a? A. B.. D. 5 3 5 3 5 A 3 Go on to the
8 th grade practice test. Objective 1.1a
8 th grade practice test Objective 1.1a 1. Stacey earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x the number
NMC Sample Problems: Grade 6
NMC Sample Problems: Grade 6. What is the sum of the greatest common divisor and the least common multiple of 8 and 2? 2 8 66 2 2. Which number is the smallest in the set. { },., 9,,? 9 Answer:. In a pet
Practice Test Student Answer Document
Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
(A) 2S + 3 (B) 3S + 2 (C) 3S + 6 (D) 2S + 6 (E) 2S + 12
1 The sum of two numbers is S Suppose 3 is added to each number and then each of the resulting numbers is doubled What is the sum of the final two numbers? (A) S + 3 (B) 3S + (C) 3S + 6 (D) S + 6 (E) S
Directions: Answers must be left in one of the following forms:
Directions: Answers must be left in one of the following forms: 1. Integer (example: 7) 2. Reduced fraction (example: 3/4) 3. Mixed number, fraction part simplified (example: 2 1/3) 4. Money: rounded to
MATH 410 Notes Simplifying Algebraic Expressions
MATH 410 Notes 2016 1.9 - Simplifying Algebraic Expressions Commutative Property: a + b = b + a and a b = b a Associative Property: a + (b + c) = (a + b) + c and a (b c) = (a b) c Distributive Property:
Summer Packet for Students entering Algebra 1/2
Course 3/Pre-Algebra (formerly: Entering Algebra /2): Page of 6 Name Date Period Directions: Please show all work on a separate sheet of paper and place your final answer on your summer packet. If no work
Accelerated Intermediate 2 Summer Math Packet
Chapter 1: Expressions, Equations, and Functions For Questions 1-2, write an algebraic expression for each verbal expression. 1. the sum of the square of a number and 34 2. the product of 5 and twice a
Algebra II Honors Summer Review (150 problems) Part 1 Equations and Inequalities
Algebra II Honors Summer Review (150 problems) Part 1 Equations and Inequalities Simplify each expression. 1. 25+14 17 6 2. 6+12 12 9 3. 52+3 25 7 4. 10 43+7+6 5. 9 +14 17+6 8 6. 52+3+8 6 7. 3+9 12 + 8.
Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 2008
Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 008 Select the best answer for each of the following questions and mark it on the answer sheet provided. Be sure to read all the
MATH 410 Notes Simplifying Algebraic Expressions
MATH 410 Notes 2015 1.9 - Simplifying Algebraic Expressions Commutative Property: a + b = b + a and a b = b a Associative Property: a + (b + c) = (a + b) + c and a (b c) = (a b) c Distributive Property:
MA Practice Questions for the Final Exam 07/10 .! 2! 7. 18! 7.! 30! 12 " 2! 3. A x y B x y C x xy x y D.! 2x! 5 y E.
MA 00 Practice Questions for the Final Eam 07/0 ) Simplify:! y " [! (y " )].!! 7. 8! 7.! 0! "! A y B y C y y D.!! y E. None of these ) Which number is irrational? A.! B..4848... C. 7 D.. E.! ) The slope
4.4 Problem Solving Using Systems of Equations
4.4 Problem Solving Using Systems of Equations Steps 1) Read, read, read. Draw a diagram, if needed. 2) Assign a variable to each unknown (need 2 variables). 3) Translate so you have 2 equations. 4) Solve
Middle School Math 2 Grade 7
Unit Activity Correlations to Common Core State Standards Middle School Math 2 Grade 7 Table of Contents Ratios and Proportional Relationships 1 The Number System 2 Expressions and Equations 5 Geometry
AFDA Review of Equations
Identify the choice that best completes the statement or answers the question. 1. Which expression correctly represents the area of the rectangle above? a. x² + 2 b. 6(x + 2) c. (x + 2)(x + 6) d. 8x 2.
WORKBOOK. MTH 01 - FUNDAMENTAL CONCEPTS AND SKILLS IN ARITHMETIC AND ALGEBRA. DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE
WORKBOOK. MTH 01 - FUNDAMENTAL CONCEPTS AND SKILLS IN ARITHMETIC AND ALGEBRA. DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Contributors: M. Bates, U. N. Iyer Department of Mathematics and Computer Science,
algebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red
algebraic expression angle base (of a power) coordinate plane equation exponent expression factor A figure formed by two rays with the same endpoint An expression that contains numbers, operations, and
Here are some helpful websites you may find useful if your child gets stuck on the summer packet or would like to do some additional work online.
2015 Mathematics Packet for Rising 7 th Graders In addition, the Middle School Mathematics Department is asking your child to work on the attached summer math review packet. This packet reviews key concepts
Review: Expressions and Equations
Review: Expressions and Equations Expressions Order of Operations Combine Like Terms Distributive Property Equations & Inequalities Graphs and Tables Independent/Dependent Variables Constant: a number
Math 10 - Unit 8 REVIEW WORKSHEET - Systems of Linear Equations
Class: Date: Math 10 - Unit 8 REVIEW WORKSHEET - Systems of Linear Equations Multiple Choice Identify the choice that best answers the question. 1. Without graphing, determine the equation whose graph
5-3B Systems Review Puzzle
5-3B Systems Review Puzzle x + y = 4 x y = -2 2x + y = -4 2x + 3y = 4 2x + y = 1 4x 2y = 6 2x + y = 1 x + y = 1 3x 2y = 4-2x + 2y = -1 x = -2y + 1 4 = x + y y = 2 2x x = y 5 y = 4 + 3x 2x + 1 = y x y =
1) Find two consecutive integers whose sum is 91. 2) Find two consecutive integers whose sum is -17.
Station 1 Basic Algebraic Word Problems Review Questions: 1) Find two integers whose sum is 91. 2) Find two integers whose sum is -17. 3) Find three integers whose sum is 93. 4) Find three even integers
Ready To Go On? Skills Intervention 2-1 Solving Equations by Adding or Subtracting
Ready To Go On? Skills Intervention 2-1 Solving Equations by Adding or Subtracting Find these vocabulary words in Lesson 2-1 and the Multilingual Glossary. Vocabulary equation solution of an equation Solve
2.1 Solving Equations Using Properties of Equality Math 085 Chapter 2. Chapter 2
2.1 Solving Equations Using Properties of Equality Math 085 Chapter 2 Chapter 2 2.1 Solving Equations Using Properties of Equality 2.2 More about Solving Equations 2.3 Application of Percent 2.4 Formulas
Introduction to Systems of Equations
Systems of Equations 1 Introduction to Systems of Equations Remember, we are finding a point of intersection x 2y 5 2x y 4 1. A golfer scored only 4 s and 5 s in a round of 18 holes. His score was 80.
Unit 1: Introduction to Variables
Section 1.1: Writing Algebraic Expressions Section 1.2: The Story of x Section 1.3: Evaluating Algebraic Expressions Section 1.4: Applications Section 1.5: Geometric Formulas KEY TERMS AND CONCEPTS Look
Practice Test 1 BLACKLINE MASTERS
Practice Test 1 BLACKLINE MASTERS Name Date Chapter 1: The Number System Answer the questions that follow. 1. Which of the numbers below is not irrational? A. 5 C. 2 9 B. D. 1.34344344434444 2. Which of
Arithmetic Review 1. Solve Solve: = =
Arithmetic Review 1 Simplify: 1. -15 (-6) Solve 1. 5.6 (.1)=. - * -7 1..4 (.)=. 7 9 14. 9 1 = 4. 16 (-4) * 6 15. 7 = 9 5. ( 49 * 6 * 16 ) 10 6. 17 0 = Solve: 1 1 16. 5 + = 7. 1 + 50 Solve 1. + = 15 5 9.
Graduation-Required Assessment for Diploma
Graduation-Required Assessment for Diploma Mathematics Test Book 18pt Item Sampler Student responses in this test book must be entered by a scribe into an accommodated test form in the Data Entry Interface.
Grade 7 Mathematics Practice Test
Grade 7 Mathematics Practice Test Nebraska Department of Education 2014 Directions: On the following pages are multiple-choice questions for the Grade 7 Practice Test, a practice opportunity for the Nebraska
13. Convert to a mixed number: Convert to an improper fraction: Are these two fractions equivalent? 7
FINAL REVIEW WORKSHEET BASIC MATH Chapter 1. 1. Give the place value of 7 in 3, 738, 500. 2. Give the word name for 302, 525. 3. Write two million, four hundred thirty thousand as a numeral. 4. Name the
Grade 7 Math Common Core Standards
Page 1 of 5 Ratios & Proportional Relationships (RP) Analyze proportional relationships and use them to solve real-world and mathematical problems. 7.RP.1. Compute unit rates associated with ratios of
Final Exam Study Guide
Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long
4-A5: Mid-Chapter 4 Review
-A: Mid-Chapter Review Alg H Write the equations for the horizontal and vertical lines that pass through the given point.. (, 0) Horiz. Vert.. (0, 8) Horiz. Vert. Use the slope formula to find the slope
Pre-Algebra Honors Curriculum Guide Dunmore School District Dunmore, PA
Pre-Algebra Honors Dunmore School District Dunmore, PA Pre-Algebra Honors Prerequisite: Successful completion of Sixth Grade Mathematics Pre-Algebra Honors is designed to meet the seventh grade PA Core
Intermediate Algebra Semester Summary Exercises. 1 Ah C. b = h
. Solve: 3x + 8 = 3 + 8x + 3x A. x = B. x = 4 C. x = 8 8 D. x =. Solve: w 3 w 5 6 8 A. w = 4 B. w = C. w = 4 D. w = 60 3. Solve: 3(x ) + 4 = 4(x + ) A. x = 7 B. x = 5 C. x = D. x = 4. The perimeter of
GREEN SKILL DRILL 1. Answers Name. Show ALL work! 1) Express as a common fraction: 2) Express
GREEN SKILL RILL Name Show LL work! ) Express as a common fraction: 7 ) Express as a common fraction in lowest terms. 7 ) Find the number which appears the way from to on the number line. ) Express in
Find the volume of this sphere.
8th September A special edition packet of cereal contains an extra 30%. The special edition packet contains 546g. What does the normal packet contain? Calculate angle CAB Solve Find the volume of this
Maintaining Mathematical Proficiency
Name Date Chapter 1 Maintaining Mathematical Proficiency Add or subtract. 1. 1 + ( 3) 2. 0 + ( 12) 3. 5 ( 2) 4. 4 7 5. Find two pairs of integers whose sum is 6. 6. In a city, the record monthly high temperature
Content Cluster: Draw informal comparative inferences about two populations.
Question 1 16362 Cluster: Draw informal comparative inferences about two populations. Standard: Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities,
2-1 Writing Equations
Translate each sentence into an equation. 1. Three times r less than 15 equals 6. Rewrite the verbal sentence so it is easier to translate. Three times r less than 15 equals 6 is the same as 15 minus 3
15) x3/2 = ) (5x + 3)1/3 = 3. 17) (x2 + 14x + 49) 3/4-20 = 7. 18) x4-7x = 0. 19) x2/5 - x1/5-12 = 0. 21) e2x + ex - 6 = 0
Instructor: Medina Solve the equation. 1) x 9 = x 4 + 7 9 Name 15) x3/2 = 125 2) x + 7 4 = 2 - x - 1 6 16) (5x + 3)1/3 = 3 17) (x2 + 14x + 49) 3/4-20 = 7 3) 7 x = 1 2x + 52 4) 30 x - 4 + 5 = 15 x - 4 18)
Elementary Algebra Sample Final Exam Spring 2017
Elementary Algebra NAME: Sample Final Exam Spring 2017 You will have 2 hours to complete this exam. You may use a calculator but must show all algebraic work in the space provided to receive full credit.
Lesson 1. Unit 6 Practice Problems. Problem 1. Solution
Unit 6 Practice Problems Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson
The ACCUPLACER (Elementary Algebra) is a 12 question placement exam. Its purpose is to make sure you are put in the appropriate math course.
About the ACCUPLACER Test The ACCUPLACER (Elementary Algebra) is a 12 question placement exam. Its purpose is to make sure you are put in the appropriate math course. A student whose score is 67 or higher
Chapter 4: Solving Literal Equations
Chapter 4: Solving Literal Equations 1 Day 1: The Basics of Literal Equations A-REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Common Core Math Curriculum Map
Module 1 - Math Address Standards by: 9/3/2013 Test: 9/16-27/2013 Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 7.EE.4 * Use variables to represent
Honors and Regular Algebra II & Trigonometry Summer Packet
Honors and Regular Algebra II & Trigonometry Summer Packet Hello Students, Parents, and Guardians! I hope everyone is enjoying the summer months and the time to rela and recoup. To add to your summer fun,
Q3 Algebra Review Pre-calculus Name. Solve using sign patterning. Write your answer in algebraic form.
Q3 Algebra Review Pre-calculus Name If the sum of the roots of a quadratic equation is b a and the product of the roots is a c. Find a quadratic equation (with integral coefficients) with the following
Minnesota 7 th Grade 2007 Math Strands & Standards
Minnesota 7 th Grade 2007 Math Strands & Standards Number & Operation Algebra Geometry & Measurement Data Analysis Read, write, represent and compare positive and negative rational numbers, expressed as
Lines and Systems Review
Lines and Systems Review SET 1 Question 1 Identify all points that are solutions to the system of equations represented by the graph: Question 2 Create a system of equations for each situation. Problem
Correlation of Final Common Core Standards (06/02/10) Grade 7 to UCSMP Transition Mathematics, 2008
Correlation of Final Common Core Standards (06/02/10) Grade 7 to UCSMP Transition Mathematics, 2008 Final Common Core Standards (06/02/10) Lessons Page References Ratios and Proportional Relationships
Tennessee - Test A. Predictive Assessment See what they know. Teach what they need. *TNRC-A1HSAG-101* Practice Example: A L G E B R A
A L G E B R A Tennessee - Test A I Predictive Assessment See what they know. Teach what they need. Practice Example: Gr HS Items - In evaluating the following problem, which operation should be performed
Name Period Date DRAFT
Name Period Date Equations and Inequalities Student Packet 4: Inequalities EQ4.1 EQ4.2 EQ4.3 Linear Inequalities in One Variable Add, subtract, multiply, and divide integers. Write expressions, equations,
Sect Formulas and Applications of Geometry:
72 Sect 2.6 - Formulas and Applications of Geometry: Concept # Solving Literal Equations for a particular variable. Now, we will examine solving formulas for a particular variable. Sometimes it is useful
Grade 8. Functions 8.F.1-3. Student Pages
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 8 Functions 8.F.1-3 Student Pages 2012 2012 COMMON CORE CORE STATE STATE STANDARDS ALIGNED ALIGNED MODULES Grade 8 - Lesson 1 Introductory Task
8, x 2. 4and. 4, y 1. y 2. x 1. Name. Part 1: (Skills) Each question is worth 2 points. SHOW ALL WORK IN THE SPACE PROVIDED. 1.
MATH 099 PRACTICE FINAL EXAMINATION Fall 2016 Name Part 1: (Skills) Each question is worth 2 points. SHOW ALL WORK IN THE SPACE PROVIDED. 1. Determine whether 4, 3 is a solution to the equation 3x 3y 21
1st Nine Weeks. Eureka: Module 2: Topics A and B. 6th Grade Advanced Pacing Guide Integers
Eureka: Module 2: Topics A and B Integers Chapter 1 Chapter 2 Chapter 2 1st Nine Weeks 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
DRAFT EAST POINSETT CO. SCHOOL DIST. - GRADE 7 MATH
Module 1 - Math Test: 10/6/2015 Analyze proportional relationships and use them to solve real-world and mathematical problems. 7.RP.1 7.RP.2 7.RP.3 * Compute unit rates associated with ratios of fractions,
Lesson 3.notebook May 17, Lesson 2 Problem Set Solutions
Lesson 2 Problem Set Solutions Student Outcomes Lesson 3: Analyzing a Verbal Description > Students make sense of a contextual situation that can be modeled with linear, quadratic, and exponential functions
Quarter 2. Review. Calculator Inactive: NO calculator Look on the back of the book to make sure you complete the gridded response correctly.
7 th Grade Quarter 2 Review Calculator Inactive: NO calculator Look on the back of the book to make sure you complete the gridded response correctly. Name Teacher Adapted from SchoolNet and CMapp 1 1.
Curriculum Scope & Sequence Subject/Grade Level: MATHEMATICS/GRADE 7 Course: MATH 7
BOE APPROVED 3/12/13 Curriculum Scope & Sequence Subject/Grade Level: MATHEMATICS/GRADE 7 Course: MATH 7 Unit Duration NJCCCS / Unit Goals Transfer Goal(s) Enduring Review of 10 Days Unit Goals: There
Indiana Core 40 End-of-Course Assessment Algebra I Blueprint*
Types of items on the Algebra I End-of-Course Assessment: Multiple-choice 1 point per problem The answer to the question can be found in one of four answer choices provided. Numeric response 1 point per
Addition and Subtraction of real numbers (1.3 & 1.4)
Math 051 lecture notes Professor Jason Samuels Addition and Subtraction of real numbers (1.3 & 1.4) ex) 3 + 5 = ex) 42 + 29 = ex) 12-4 = ex) 7-9 = ex) -3-4 = ex) 6 - (-2) = ex) -5 - (-3) = ex) 7 + (-2)
Solutions to Practice Problems in the Text
Solutions to Practice Problems in the Text Chapter One: Fundamentals of Mathematical Modeling Practice Set 1-1. d = rt 1 = 0t [Divide both sides by 0.] t =. hours. d = rt 170 = r(.) [Divide both sides
7 th Grade Mathematics
7 th Grade Grade-Level Expectations for 7.RP.A Analyze proportional relationships and use them to solve 7.RP.A.1 7.RP.A.2 7.RP.A.3 7.NS.A problems. Compute unit rates, including those that involve complex
Practice - TAKS OBJECTIVE 1 & 2. 1) Which inequality best describes the graph shown below?
Name: Period Practice - TAKS OBJECTIVE 1 & 2 1) Which inequality best describes the graph shown below? A y 2x B y x 2 C y 2x 2 D y x 2 2) If y is a function of x in the equation y = x 2 9, which statement
Chapter 1 Equations and Inequalities
Chapter Equations and Inequalities Section.. +. +. ( ) ( ) +. (r ) + (r ) r + r r r r. + + +. +.. +........ +.().( + ) +. +...... ( + )( ) (+ )( ) + ( ) + + +. [ ( )] ( + ) ( + ) + +. + ( ) + Conditional
Mississippi 7 th GRADE MATH Pacing Guide
Mississippi 7 th GRADE MATH 2017-2018 Pacing Guide Note: The Mississippi College- and Career-Readiness Standards describe the varieties of expertise that mathematics educators should seek to develop in