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

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2010 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: College Algebra.

Advertisements

COMPLEX NUMBERS Objectives

Math Courses for If you are currently in Algebra I If you earned an A or better in Algebra I for the first semester and an A- or better on.

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

(For help, go to Lessons 1-6 and 2-6.) ALGEBRA 1 LESSON 6-2 Slope-Intercept Form 8-4 Evaluate each expression. 1. 6a + 3 for a = 22. –2x – 5 for x = 3.

WRITING AN EQUATION FROM SLOPE INTERCEPT. Slope Intercept Form.

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

Example 1 Identifying Slopes and y-intercepts Find the slope and y -intercept of the graph of the equation. ANSWER The line has a slope of 1 and a y -intercept.

A review of concepts and computational skills Chapters 1-2

The Discriminant Check for Understanding – Given a quadratic equation use the discriminant to determine the nature of the roots.

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

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

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.

The Beginnings of Algebra Solving Equations Graphing Linear Equations Writing Linear Equations Linear Inequalities

Algebra Review for Units 3 and 4: Graphing Linear Equations and Inequalities Critical Thinking Skill: Demonstrate Undestanding of Concepts

Mrs. Chase Middle School Math Grade 6 & 8 Thomas Jefferson Elem/Middle Room

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

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

Mrs. McConaughy Honors Algebra 2 1 Lesson 6.5: Finding Rational Zeros Objective: To find the rational zeros of a polynomial function.

Algebra 1 Notes: Lesson 8-5: Adding and Subtracting Polynomials.

Math 1 10/17/11 Pick up a Calculator and a New Warm-up Sheet Pick up a New Packet Warm-up List the first 10 perfect squares Ex: 1 2 = = 4 etc…

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:

Reviewing skills needed to succeed in Algebra 2..

Algebra 1 Notes Lesson 7-4 Elimination Using Multiplication.

10-1 Inverse Variation 10-2 Rational Functions 10-3 Simplifying Rational Expressions 10-4 Multiplying and Dividing Rational Expressions 10-5 Adding and.

1 What you will learn  Lots of vocabulary!  A new type of number!  How to add, subtract and multiply this new type of number  How to graph this new.

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

EXAMPLE 1 Identify slope and y-intercept Identify the slope and y- intercept of the line with the given equation. y = 3x x + y = 22. SOLUTION The.

Review for Unit 2 Quiz 1. Review for U2 Quiz 1 Solve. We will check them together. I will answer questions when we check answers. Combine like terms.

Know Your Roots How can square roots and cube roots be used to solve expressions and equations?

Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,…

Imaginary & Complex Numbers. Once upon a time… -In the set of real numbers, negative numbers do not have square roots. -Imaginary numbers were invented.

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

6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems.

ACC ALGEBRA MIDTERM REVIEW. QUESTION #1- SOLVE QUESTION #2- SOLVE.

EXAM REVIEW #1. Copy the chart below and place the numbers into the appropriate categories. -10, 0, ½, √225, π, 1 / 3, 9, 500, 12 / 3, -1 Natural Whole.

Solving Logarithmic Functions Math 3 Standard MM3A2.

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 I Midterm Review. Simplify. 1.) 2.) Simplify. 3.) 4.)

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

Algebra Core Review. Unit 1: Real Numbers Natural Numbers: Whole Numbers: Integers:

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

Imaginary & Complex Numbers

Developmental Math DSMA0300 – Pre-algebra DSMA0301 – Beginning Algebra

Grade Eight – Algebra I - Unit 12 Linear Equations and Their Graphs

The Discriminant Given a quadratic equation, can youuse the

A B C D Solve x2 + 8x + 16 = 16 by completing the square. –8, 0

EXAMPLE 2 Rationalize denominators of fractions Simplify

MATH Algebra II Analyzing Equations and Inequalities

Imaginary & Complex Numbers

Imaginary & Complex Numbers

Imaginary & Complex Numbers

The Discriminant Check for Understanding –

SECTION 9-3 : SOLVING QUADRATIC EQUATIONS

Imaginary & Complex Numbers

Imaginary & Complex Numbers

Math for College Readiness

Algebra I Commandments

Imaginary & Complex Numbers

Imaginary & Complex Numbers

The Discriminant Check for Understanding –

LEAVING CERT ALGEBRA SUMMARY OF THE SECTIONS IN L.C. ALGEBRA NOTES

Common Core Vs Kansas Standards

Chapter Sections 1.1 – Study Skills for Success in Mathematics

MATH CP Algebra II Analyzing Equations and Inequalities

Introduction You can determine how far a ladder will extend from the base of a wall by creating a quadratic equation and then taking the square root. To.

Bell Work Write each of the following as a decimal or a fraction….

Bell Work Write each of the following as a decimal or a fraction….

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 reacquaint yourself with 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 12/2/2015Mrs. McConaughy Geometry 2

Evaluate each expression for x = 8, y = 5, and z = x + y 5. x/z 12/2/2015Mrs. McConaughy Geometry 3

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

Find each square root /2/2015Mrs. 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/ /2/2015Mrs. McConaughy Geometry 6

Simplify each expression – 4 · │ │ x + 30x 15. 8y 2 – y n + 11n (2x – 5) 18. 2(x + 5) – 3 (x – 2) Time flies when you’re having fun! 12/2/2015Mrs. McConaughy Geometry 7

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

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 mi/minute? 12/2/2015Mrs. McConaughy Geometry 9

Solve each inequality and graph on a number line ≤ – 2t ≤ 21 12/2/2015Mrs. McConaughy Geometry 10

Find the slope of each line /2/2015Mrs. McConaughy Geometry 11

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! 12/2/2015Mrs. McConaughy Geometry 12

Graph each equation. 34. y = x= y = - ½ x y = 5x - 3 NOTE: Remember to label your lines! 12/2/2015Mrs. 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) 12/2/2015Mrs. McConaughy Geometry 14

41. Find the x and y intercepts of -2x + 4y = Is the point (4, 14) on the line y -3x + 2? Explain. 43. Solve the system of equations by graphing. y = x – 3 y = -x /2/2015Mrs. McConaughy Geometry 15

Simplify · (2 5 ) a 4 · b 2 · a (4x 2 y 6 )(-2x 3 y 4 ) /2/2015Mrs. 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 = /2/2015Mrs. McConaughy Geometry 17

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? 12/2/2015Mrs. McConaughy Geometry 18

Add or subtract the polynomials. 53. (2x 2 – x) + x2 + 3x – 1) 54. (a 4 – 2a) – (3a 4 – 3a – 1) 12/2/2015Mrs. McConaughy Geometry 19

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) 12/2/2015Mrs. McConaughy Geometry 20

Factor completely x 2 – 3x 62. x 2 + 6x x 2 – 10 x x 2 + 7x x x x x 2 – 14x x x /2/2015Mrs. McConaughy Geometry 21

You’re finished! Please return later for solutions! 12/2/2015Mrs. McConaughy Geometry 22