SUMMER REVIEW for students entering GEOMETRY REMEMBER: Your high school mathematics courses require you to use concepts learned in previous math classes.

Slides:

Advertisements

Similar presentations

Limits – Part 2 Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…

Advertisements

ON TARGET 4NW OBJECTIVES. ON TARGET Which equation is true for ALL values? This is a calculator problem. One at a time, key each equation into the Y=

College Placement Test Click here to show College Placement Mathematics Video.

Write an equation given the slope and y-intercept EXAMPLE 1 Write an equation of the line shown.

A Quick Review of MTH070 Elementary Algebra Algebraic Notation Algebraic Properties & Simplifying Expressions Linear Equations, Formulas, & Inequalities.

A review of concepts and computational skills Chapters 1-2

A Quick Review of MTH060 Elementary Algebra I Algebraic Notation Algebraic Properties & Simplifying Expressions Linear Equations, Formulas, & Inequalities.

Solving Linear Equations

Algebra I Concept Test # 2 – Equations, Inequalities and A.V.

Released Items Aligned to McDougal Littell “Algebra 1” Copyright 2007

Activator 1. Evaluate y^2 / ( 3ab + 2) if y = 4; a = -2; and b = Find the value: √17 = 0.25 x 0 = 6 : 10 =

Multiplying, Dividing, and Simplifying Radicals

Solving Equations. Is a statement that two algebraic expressions are equal. EXAMPLES 3x – 5 = 7, x 2 – x – 6 = 0, and 4x = 4 To solve a equation in x.

Chapter 1 Number Sense See page 8 for the vocabulary and key concepts of this chapter.

Mrs. Martinez CHS MATH DEPT.

Real Numbers and Algebraic Expressions

Algebra One Math Vocabulary.

Math 96A Test 1 Flash Cards.

Chapter 1.1 Common Core – A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. Objectives – To write algebraic expressions.

Chapter 1.1 Common Core – A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. Objectives – To write algebraic expressions.

Flipper Numbers.

Objective Solve radical equations.

Mathematical Processes GLE  I can identify the operations needed to solve a real-world problem.  I can write an equation to solve a real-world.

1 Preliminaries Precalculus Review I Precalculus Review II

CALIFORNIA MATHEMATICS STANDARDS ALGEBRA Students identify and use the arithmetic properties of subsets of integers, rational, irrational, and real.

1 Additional Support for Math99 Students By: Dilshad Akrayee.

Dan Step 1 Look under the heading, “Mathematics Goal Performance.” Prioritize your child’s highest needs areas using the following key. Low: LoAvg:

Algebra 1 Final Exam Review – 5 days (2nd Semester)

Copyright © 2007 Pearson Education, Inc. Slide R-1.

Variables and Expressions Order of Operations Real Numbers and the Number Line Objective: To solve problems by using the order of operations.

Math 002 College Algebra Final Exam Review.

Lesson 6 III. Basic Algebra. A. Simplifying Algebraic Expressions Combining like terms Ex1) Ex2) 3x – 2(x + 3y) – 4y Multiplying Binomials Ex1) (x – 3)(2x.

Keystone Prep (April curriculum). *Agenda* Teacher Station: Page 36 Practice and Problem Solving #’s Independent Station: Worksheet 1.3 Worksheet.

Welcome to MM 212 Unit 4 Seminar!. Graphing and Functions.

Algebra 1 Final Exam Review – 5 days (2nd Semester)

Algebra I CAHSEE Review. Slope-Intercept Form  Graphs 1. Which of the following graphs represents the equation ? A.B. C.D.

Warm-up 1. Name all the members of the real number system. 2. Name 3 different words that have the same meaning as the four operations of math. Answers:

Slide Copyright © 2009 Pearson Education, Inc. 4.1 Variation.

Reviewing skills needed to succeed in Algebra 2..

Chapter 1.  Pg. 4-9  Obj: Learn how to write algebraic expressions.  Content Standard: A.SSE.1.a.

MATHEMATICAL PROCESSES SPI  I can generate ratios to solve problems involving velocity, density, pressure, and population density.

Complete Solutions to Practice Test What are the solutions to the quadratic equation  A. 3, 6  B. 6, 6  C. 3, 12  D. 4, 9  E. -4, -9 Factor.

SUMMER REVIEW for students entering GEOMETRY REMEMBER: Your high school mathematics courses require you to use concepts learned in previous math classes.

ALGEBRA REVIEW FOR MIDTERM FALL CHAPTER 1: FOUNDATIONS FOR ALGEBRA 1.Variables and Expressions 2.Adding and Subtracting Real Numbers 3.Multiplying.

Expressions, Rules, and Graphing Linear Equations by Lauren McCluskey This power point could not have been made without Monica Yuskaitis, whose power point,

Rate of Change and Slope Objectives: Use the rate of change to solve problems. Find the slope of a line.

Point-Slope Form The line with slope m passing through the point (x1, y1) has an equation the point –slope form of the equation of a line.

Algebra I Concept Test # 1 – Integers Practice Test − 15 A positive times a negative is ? = Simplify: (− 27) − 42 = 2.(6)(− 7) Negative 9 = 3.−

CHAPTER 3 GRAPHING LINEAR FUNCTIONS  What you will learn:  Determine whether relations are functions  Find the domain and range of a functions  Identify.

Lines in the Coordinate Plane

Complex Number Systems and Simplifying Algebraic Expressions Critical Thinking Skill: Demonstrate Understanding of Concepts.

Algebra I Commandments Algebraic Thinking Competency 2 Algebraic Thinking Competency 2.

Complex Number System Reals Rationals (fractions, decimals) Integers (…, -1, -2, 0, 1, 2, …) Whole (0, 1, 2, …) Natural (1, 2, …) Irrationals.

Chapter 6 Section 5 – Slide 1 Copyright © 2009 Pearson Education, Inc. AND.

Solving Linear Equations and Inequalities Chapter 2.

Remember: Slope is also expressed as rise/run. Slope Intercept Form Use this form when you know the slope and the y- intercept (where the line crosses.

11-1 Square-Root Functions 11-2 Radical Expressions 11-3 Adding and Subtracting Radical Expressions 11-4 Multiplying and Dividing Radical Expressions 11-5.

Algebra 1 Lab Week 1-3 Puzzle/Timeline Simplifying and Writing Expressions Operations with Integers and Fractions Simplifying Square Roots Order of Operations.

Variables and Expressions Order of Operations Real Numbers and the Number Line Objective: To solve problems by using the order of operations.

Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear Equations and Inequalities.

Chapter 2 - Blue Mrs. Kane. Warm-Up Math in History The concept of writing all numbers by using only ten different symbols appears to have originated.

Holt McDougal Algebra Solving Equations with Variables on Both Sides Algebra 1 Review.

Algebra Vocabulary.

2nd Nine Weeks Vocabulary Review Coach Whitlock

Solving Radical Equations and Inequalities 5-8

Algebra 1 Exam Review.

Algebra I Commandments

1 Preliminaries Precalculus Review I Precalculus Review II

Algebraic Equations Linear Functions

Presentation transcript:

SUMMER REVIEW for students entering GEOMETRY REMEMBER: Your high school mathematics courses require you to use concepts learned in previous math classes. Use this Summer Review to review skills that you will need to be successful in geometry. Surfs up! Make waves with math!

Give two ways to write each algebraic expression in words. NOTE: Answers will vary! 1. x m – 73. 5y 9/22/2015Mrs. McConaughy Geometry 2 Possible phrases for each of the previous expressions : 1. 3 more than a number; a number increased by less than twice a number; twice a number decreased by times a number

Evaluate each expression for x = 8, y = 5, and z = 4. 4.x + y x/z 8/4 2 9/22/2015Mrs. McConaughy Geometry 3

Evaluate each expression. 6. (-2) /9 9/22/2015Mrs. McConaughy Geometry 4

Find each square root /22/2015Mrs. McConaughy Geometry 5 Time to recall your perfect squares!

Write all classifications that apply to each real number (natural, whole, integer, rational, irrational.) 10. 8/ /22/2015Mrs. McConaughy Geometry 6 HINT: Use the Venn Diagram.

Simplify each expression – 4 · │ │ – 4 · 3 │ │ – 12 │ - 15 │ – 12 │ 15 │ x + 30x 15. 8y 2 – y 2 42x 7y n + 11n (2x – 5) DONE 8x (x + 5) – 3 (x – 2) Time flies when you’re having fun! 9/22/2015Mrs. McConaughy Geometry 7 Recall: Order of Operations, Combining Like Terms, Absolute Value - x + 16

Solve each equation x + 6 = x = 4 x + 3 = 40 x = 2 x = (x + 1) = (3x + 1) – 8x = 12 x = 6 x = x + 5 = 7x x – (x – 3)= 2 (5x – 3) x = -2 x = ½ 25. Take a break! 9/22/2015Mrs. McConaughy Geometry 8 x = 10

Write and solve each proportion. 26.The ratio of band members to non- band members in Seneca Valley Intermediate High School is 2:5. There are 875 students in grades 9 and 10. How many band members are there? 27. Seneca Valley track star I. M. Fleetfeet ran at a rate of 6 mi/h. What is this speed in miles/minute? 9/22/2015Mrs. McConaughy Geometry band members; 625 non- band members 1/10 mile/minute or.1 mile/minute

Solve each inequality and graph on a number line x ≤ 50 x ≤ – 2t ≤ 21 t ≥ /22/2015Mrs. McConaughy Geometry 10 Recall: RULE: When multiplying or dividing an inequality by a negative number, always reverse the symbol of inequality.

Find the slope of each line /22/2015Mrs. McConaughy Geometry 11 m = 0 Slope, m, is undefined

Find the slope of the line containing the given points. 32. (1,2) & (7, -2) 33. (- 4,10) & (0,3) Time to cool off with ski bird! 9/22/2015Mrs. McConaughy Geometry 12 m = -2 – = -4/6 = -2/3 m = 10 – = 7/-4

Graph each equation. 34. y = x = y = - ½ x y = 5x - 3 NOTE: Remember to label your lines! 9/22/2015Mrs. McConaughy Geometry 13

Write the equation of the line in slope-intercept form. 38.slope = ½; y-intercept = slope = -3; y-intercept = through the points (1,-4) and (3,2) 9/22/2015Mrs. McConaughy Geometry 14 y = mx + b; y = 1/2x - 5 y = mx + b; y = -3x Step 1: Find slope, m. Step 2: Use point- slope form of a line. y = 3x - 7

41. Find the x and y intercepts of -2x + 4y = 7. x-intercept: (-7/2, 0) y-intercept: (0, 7/4) 42.Is the point (4, 14) on the line y = -3x + 2? Explain. No, because when substituting x and y values into the equation, y = -3x + 2, your final equation is 14 = -10, which is false, since 14 ≠ Solve the system of equations by graphing. y = x – 3 y = -x + 1 9/22/2015Mrs. McConaughy Geometry 15 HINT: Step 1. Graph each line on the coordinate plane using slope-intercept method. Step 2. Find the coordinates of the point of intersection.

Simplify. Recall: Basic Rules for Exponents · (2 5 ) or 2, a 4 · b 2 · a (4x 2 y 6 )(-2x 3 y 4 ) 2 a 9 b 2 16x 8 y or ab 5 9/22/2015Mrs. McConaughy Geometry 16

Evaluate each function for the given input value. 50. For y = 2x + 10, find y when x = For y = ½ t – 3, find y when t = 12. 9/22/2015Mrs. McConaughy Geometry 17 Y = 2(6) + 10 Y = Y = 22 Y = ½ (12) -3 Y = 6-3 Y = 3

Evaluate the exponential function. 52. The function y = 2(3) x models an insect population after x days. What will the population be on the 5 th day? 9/22/2015Mrs. McConaughy Geometry 18 Substitute 5 for x to determine 486 insects.

Add or subtract the polynomials. 53. (2x 2 – x) + x 2 + 3x – 1) 3x 2 +2x (a 4 – 2a) – (3a 4 – 3a – 1) (a 4 – 2a) – 3a 4 +3a a 4 + a + 1 9/22/2015Mrs. McConaughy Geometry 19 Recall: Combine like terms. Like terms have the same variable and the same exponent. Distribute the negative.

Multiply. 55. (5x 2 ) (4x 3 ) (2x 2 + x + 4) 57. (x + 2) (x – 5) 58. (x -5) (2x + 7) (2x – 7) 60. (x – 3) (x 2 + 2x + 3) 9/22/2015Mrs. McConaughy Geometry 20 20x 5 x 2 -3x-10 4x x 2 + 5x + 20 x x + 25 x 3 + 2x 2 + 3x - 3x 2 - 6x x 3 - x 2 - 3x - 9

Factor completely x 2 – 3x 62. x 2 + 6x x 2 – 10 x x 2 + 7x x x x x 2 – 14x x x - 5 9/22/2015Mrs. McConaughy Geometry 21 x (4x – 3) (x – 8) (x-2) (x + 6) 2 (5x - 4) (x – 2) (x + 4) (x + 2) (x + 9) (x - 2) (5x - 9) (5x + 9) (4x - 1) (x + 5)

You’re finished! 9/22/2015Mrs. McConaughy Geometry 22