Block 2 ~ The Pythagorean Theorem Self-Assessment. Progress (shade this in) Name Per. Track your understanding. Lesson #

Size: px
Start display at page:

Download "Block 2 ~ The Pythagorean Theorem Self-Assessment. Progress (shade this in) Name Per. Track your understanding. Lesson #"

Transcription

1 Block 2 ~ The Pythagorean Theorem Self-Assessment Track your understanding. Lesson # Target I can recognize and find the values of perfect squares. I can estimate the value of square roots. I can use the Pythagorean Theorem to find the missing side lengths in right triangles. I can determine if three sides create a right triangle. I can apply the Pythagorean Theorem to solve problems in two and three dimensions. I can find the distance between two points on a coordinate plane using the Pythagorean Theorem. I can find the distance between two points on a coordinate plane using the Distance Formula. Name Per Progress (shade this in) 0

2 NAME: PER: LESSON 2.1 Find each value NAME: PER: LESSON 2.1 Find each value Solve for Solve for NAME: PER: LESSON 2.1 Find each value NAME: PER: LESSON 2.1 Find each value Solve for Solve for

3 NAME: PER: LESSON 2.2 Determine the two positive integers that each square root falls between NAME: PER: LESSON 2.2 Determine the two positive integers that each square root falls between Solve for. Round your answer to nearest tenth Solve for. Round your answer to nearest tenth NAME: PER: LESSON 2.2 Determine the two positive integers that each square root falls between NAME: PER: LESSON 2.2 Determine the two positive integers that each square root falls between Solve for. Round your answer to nearest tenth Solve for. Round your answer to nearest tenth

4 NAME: PER: LESSON 2.3 Solve for. Round to the nearest tenth, if necessary NAME: PER: LESSON 2.3 Solve for. Round to the nearest tenth, if necessary Kyle has a rectangular living room. It is ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation Kyle has a rectangular living room. It is ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation. b) Find the length of the diagonal. NAME: PER: LESSON 2.3 Solve for. Round to the nearest tenth, if necessary b) Find the length of the diagonal. NAME: PER: LESSON 2.3 Solve for. Round to the nearest tenth, if necessary Kyle has a rectangular living room. It is ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation Kyle has a rectangular living room. It is ft wide and 12 ft long. What is the length of the diagonal of the living room? a) Draw a diagram to represent this situation. b) Find the length of the diagonal. b) Find the length of the diagonal. 3

5 NAME: PER: LESSON 2. Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple NAME: PER: LESSON 2. Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple NAME: PER: LESSON 2. Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple NAME: PER: LESSON 2. Determine if each triangle is a right triangle. If it is, state if its side lengths form a Pythagorean Triple

6 NAME: PER: LESSON 1. A 10-foot ladder leans feet up a wall. How far from the wall is the base of ladder? NAME: PER: LESSON 1. A 10-foot ladder leans feet up a wall. How far from the wall is the base of ladder? 2. A shipping company sells a rectangular bo with dimensions of 12 inches by 12 inches by 1 inches. Find the length of the longest diagonal in the bo. 2. A shipping company sells a rectangular bo with dimensions of 12 inches by 12 inches by 1 inches. Find the length of the longest diagonal in the bo. NAME: PER: LESSON 1. A 10-foot ladder leans feet up a wall. How far from the wall is the base of ladder? NAME: PER: LESSON 1. A 10-foot ladder leans feet up a wall. How far from the wall is the base of ladder? 2. A shipping company sells a rectangular bo with dimensions of 12 inches by 12 inches by 1 inches. Find the length of the longest diagonal in the bo. 2. A shipping company sells a rectangular bo with dimensions of 12 inches by 12 inches by 1 inches. Find the length of the longest diagonal in the bo. 3

7 NAME: PER: LESSON 2. Find the distance between each set of points. Round to the nearest tenth, if necessary. 1. (1, ) and (, 10) NAME: PER: LESSON 2. Find the distance between each set of points. Round to the nearest tenth, if necessary. 1. (1, ) and (, 10) 2. ( 3, 2) and (1, ) 2. ( 3, 2) and (1, ) NAME: PER: LESSON 2. Find the distance between each set of points. Round to the nearest tenth, if necessary. 1. (1, ) and (, 10) NAME: PER: LESSON 2. Find the distance between each set of points. Round to the nearest tenth, if necessary. 1. (1, ) and (, 10) 2. ( 3, 2) and (1, ) 2. ( 3, 2) and (1, ) 37

8 NAME: PER: LESSON 2.7 Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 1. (2, 7) and (, 10) NAME: PER: LESSON 2.7 Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 1. (2, 7) and (, 10) 2. (, 3) and (7, 11) 2. (, 3) and (7, 11) NAME: PER: LESSON 2.7 Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 1. (2, 7) and (, 10) NAME: PER: LESSON 2.7 Use the distance formula to find the distance between each pair of points. If necessary, round to the nearest tenth. 1. (2, 7) and (, 10) 2. (, 3) and (7, 11) 2. (, 3) and (7, 11) 3

5-7 The Pythagorean Theorem

5-7 The Pythagorean Theorem 5-7 The Pythagorean Theorem Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Classify each triangle by its angle measures. 1. 2. acute right 3. Simplify 12 4. If a = 6, b = 7, and c = 12, find

More information

LESSON 11 PRACTICE PROBLEMS

LESSON 11 PRACTICE PROBLEMS LESSON 11 PRACTICE PROBLEMS 1. a. Determine the volume of each of the figures shown below. Round your answers to the nearest integer and include appropriate units of b. Determine the volume of each of

More information

1 Math 116 Supplemental Textbook (Pythagorean Theorem)

1 Math 116 Supplemental Textbook (Pythagorean Theorem) 1 Math 116 Supplemental Textbook (Pythagorean Theorem) 1.1 Pythagorean Theorem 1.1.1 Right Triangles Before we begin to study the Pythagorean Theorem, let s discuss some facts about right triangles. The

More information

Using the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles

Using the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles Math 154 Chapter 9.6: Applications of Radical Equations Objectives: Finding legs of right triangles Finding hypotenuse of right triangles Solve application problems involving right triangles Pythagorean

More information

During: The Pythagorean Theorem and Its converse

During: The Pythagorean Theorem and Its converse Before: November 1st As a warm-up, let's do the Challenge Problems from the 5.1-5.4 Quiz Yesterday 1. In Triangle ABC, centroid D is on median AM. AD = x - 3 and DM = 3x - 6. Find AM. 2. In Triangle ABC,

More information

9-8 Completing the Square

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

More information

Find the geometric mean between 9 and 13. Find the geometric mean between

Find the geometric mean between 9 and 13. Find the geometric mean between Five-Minute Check (over Lesson 8 1) CCSS Then/Now New Vocabulary Theorem 8.4: Pythagorean Theorem Proof: Pythagorean Theorem Example 1: Find Missing Measures Using the Pythagorean Theorem Key Concept:

More information

Pythagoras theorem (8 9)

Pythagoras theorem (8 9) Pythagoras theorem (8 9) Contents 1 The theorem 1 1.1 Using Pythagoras in context........................... 2 1.2 Distance between points............................. 4 1.3 Harder questions.................................

More information

Radicals and Pythagorean Theorem Date: Per:

Radicals and Pythagorean Theorem Date: Per: Math 2 Unit 7 Worksheet 1 Name: Radicals and Pythagorean Theorem Date: Per: [1-12] Simplify each radical expression. 1. 75 2. 24. 7 2 4. 10 12 5. 2 6 6. 2 15 20 7. 11 2 8. 9 2 9. 2 2 10. 5 2 11. 7 5 2

More information

Skills Practice Skills Practice for Lesson 3.1

Skills Practice Skills Practice for Lesson 3.1 Skills Practice Skills Practice for Lesson.1 Name Date Get Radical or (Be)! Radicals and the Pythagorean Theorem Vocabulary Write the term that best completes each statement. 1. An expression that includes

More information

Math 302 Module 6. Department of Mathematics College of the Redwoods. June 17, 2011

Math 302 Module 6. Department of Mathematics College of the Redwoods. June 17, 2011 Math 302 Module 6 Department of Mathematics College of the Redwoods June 17, 2011 Contents 6 Radical Expressions 1 6a Square Roots... 2 Introduction to Radical Notation... 2 Approximating Square Roots..................

More information

Lesson 11-5: Trigonometric Ratios

Lesson 11-5: Trigonometric Ratios Math Regents Exam Questions - Pearson Integrated Algebra Lesson 11-5 Page 1 Lesson 11-5: Trigonometric Ratios Part 1: Finding Trigonometric Ratios 1. 080414a, P.I. A.A.42 Which ratio represents cos A in

More information

Radicals and connections to geometry

Radicals and connections to geometry Algebra Assignment Sheet Name: Date: Period: # Radicals and connections to geometry (1) Worksheet (need) (2) Page 514 #10 46 Left () Page 514 #1 49 right (4) Page 719 #18 0 Even (5) Page 719 #1 9 all (6)

More information

Remember, you may not use a calculator when you take the assessment test.

Remember, you may not use a calculator when you take the assessment test. Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.

More information

Geometry Warm Up Right Triangles Day 8 Date

Geometry Warm Up Right Triangles Day 8 Date Geometry Warm Up Right Triangles Day 8 Name Date Questions 1 4: Use the following diagram. Round decimals to the nearest tenth. P r q Q p R 1. If PR = 12 and m R = 19, find p. 2. If m P = 58 and r = 5,

More information

15 x. Substitute. Multiply. Add. Find the positive square root.

15 x. Substitute. Multiply. Add. Find the positive square root. hapter Review.1 The Pythagorean Theorem (pp. 3 70) Dynamic Solutions available at igideasmath.com Find the value of. Then tell whether the side lengths form a Pythagorean triple. c 2 = a 2 + b 2 Pythagorean

More information

Section 9.2 Objective: Students will be able to define and work with irrational numbers.

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

More information

Determine whether the given lengths can be side lengths of a right triangle. 1. 6, 7, , 15, , 4, 5

Determine whether the given lengths can be side lengths of a right triangle. 1. 6, 7, , 15, , 4, 5 Algebra Test Review Name Instructor Hr/Blk Determine whether the given lengths can be side lengths of a right triangle. 1., 7, 8. 17, 1, 8.,, For the values given, a and b are legs of a right triangle.

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Math 1332 Chapter 10 Review Name Solve the problem. 1) The hour hand of a clock moves from 12 to 4 oʹclock. Through how many degrees does it move? 1) Find the measure of the angle in which? appears. 2)

More information

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.

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

More information

New Rochelle High School Geometry Summer Assignment

New Rochelle High School Geometry Summer Assignment NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and

More information

Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property

Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property Additional Exercises 10.1 Form I Solving Quadratic Equations by the Square Root Property Solve the quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators.

More information

ALGEBRA I AND GEOMETRY SUMMER ASSIGNMENT

ALGEBRA I AND GEOMETRY SUMMER ASSIGNMENT NAME: This packet has been designed to help you review various mathematical topics that are necessary for your success in Algebra I and/or Geometry next year, as well as PSAT/SAT/ACT. Complete all problems

More information

How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots

How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots . Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,

More information

Geometry Review- Chapter Find e, and express your answer in simplest radical form.

Geometry Review- Chapter Find e, and express your answer in simplest radical form. Name: Date: Period: Geometry Review- Chapter 10 1. The diagonal of a rectangle measures 15 cm long, and the width is 10. Find the height of the rectangle and epress your answer in simplest radical form.

More information

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Spring 0 Math 08 Eam Preparation Ch Dressler Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the quadratic equation b the square root propert.

More information

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 =

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

More information

In this section we want to learn how to solve equations containing radicals, like 5 x 4 = 9. In order to do this we need the following property.

In this section we want to learn how to solve equations containing radicals, like 5 x 4 = 9. In order to do this we need the following property. .7 Solving Radical Equations In this section we want to learn how to solve equations containing radicals, like. In order to do this we need the following property. n-th Power Property n n If a b, then

More information

PRACTICE PROBLEMS CH 8 and Proofs

PRACTICE PROBLEMS CH 8 and Proofs GEOM PRACTICE PROBLEMS CH 8 and Proofs Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to

More information

Applications Using Factoring Polynomials

Applications Using Factoring Polynomials Applications Using Factoring Polynomials This section will discuss applications involving the area of a rectangle, consecutive integers, and right triangles. Recall the steps that will help to translate

More information

Classwork 2.4 Trigonometric Ratios- Application Problems. 1. How tall is the building? 2. How far up will the ladder reach?

Classwork 2.4 Trigonometric Ratios- Application Problems. 1. How tall is the building? 2. How far up will the ladder reach? 1. How tall is the building? 2. How far up will the ladder reach? 3. A rock dropped from the top of the Leaning Tower of Pisa falls to a point 14 feet from the base. If the tower is 182 feet tall, at what

More information

#12 Algebra 2 Notes Using Trig in Real Life

#12 Algebra 2 Notes Using Trig in Real Life #12 Algebra 2 Notes 13.1 Using Trig in Real Life #12 Algebra 2 Notes: 13.1 using Trig in Real Life Angle of Elevation Angle of Elevation means you are looking upward and is usually measured from the ground

More information

Accelerated Math 7 Second Semester Final Practice Test

Accelerated Math 7 Second Semester Final Practice Test Accelerated Math 7 Second Semester Final Practice Test Name Period Date Part 1 Learning Target 5: I can solve problems applying scale factor to geometric figures or scale drawings. 1. What is the value

More information

Trigonometry Final Exam Review

Trigonometry Final Exam Review Name Period Trigonometry Final Exam Review 2014-2015 CHAPTER 2 RIGHT TRIANGLES 8 1. Given sin θ = and θ terminates in quadrant III, find the following: 17 a) cos θ b) tan θ c) sec θ d) csc θ 2. Use a calculator

More information

Part II) Practice Problems

Part II) Practice Problems Part II) Practice Problems 1. Calculate the value of to the nearest tenth: sin 38 80 2. Calculate the value of y to the nearest tenth: y cos 52 80 3. Calculate the value of to the nearest hundredth: tan

More information

8 Right Triangle Trigonometry

8 Right Triangle Trigonometry www.ck12.org CHAPTER 8 Right Triangle Trigonometry Chapter Outline 8.1 THE PYTHAGOREAN THEOREM 8.2 CONVERSE OF THE PYTHAGOREAN THEOREM 8.3 USING SIMILAR RIGHT TRIANGLES 8.4 SPECIAL RIGHT TRIANGLES 8.5

More information

Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8

Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators.

More information

Standardized Test Practice - Cumulative, Chapters What is the value of x in the figure below?

Standardized Test Practice - Cumulative, Chapters What is the value of x in the figure below? 1. What is the value of x in the figure below? 2. A baseball diamond is a square with 90-ft sides. What is the length from 3rd base to 1st base? Round to the nearest tenth. A 22.5 B 23 C 23.5 D 24 Use

More information

Exponents 4-1. Lesson Objectives. Vocabulary. Additional Examples. Evaluate expressions with exponents. exponential form (p. 162) exponent (p.

Exponents 4-1. Lesson Objectives. Vocabulary. Additional Examples. Evaluate expressions with exponents. exponential form (p. 162) exponent (p. LESSON 4-1 Exponents Lesson Objectives Evaluate expressions with exponents Vocabulary exponential form (p. 16) exponent (p. 16) base (p. 16) power (p. 16) Additional Examples Example 1 Write in exponential

More information

Math 0210 Common Final Review Questions (2 5 i)(2 5 i )

Math 0210 Common Final Review Questions (2 5 i)(2 5 i ) Math 0 Common Final Review Questions In problems 1 6, perform the indicated operations and simplif if necessar. 1. ( 8)(4) ( )(9) 4 7 4 6( ). 18 6 8. ( i) ( 1 4 i ) 4. (8 i ). ( 9 i)( 7 i) 6. ( i)( i )

More information

NOTES: Chapter 11. Radicals & Radical Equations. Algebra 1B COLYER Fall Student Name:

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

More information

Note-Taking Guides. How to use these documents for success

Note-Taking Guides. How to use these documents for success 1 Note-Taking Guides How to use these documents for success Print all the pages for the module. Open the first lesson on the computer. Fill in the guide as you read. Do the practice problems on notebook

More information

2. Write each number as a power of 10 using negative exponents.

2. Write each number as a power of 10 using negative exponents. Q Review 1. Simplify each expression. a. 1 0 b. 5 2 1 c. d. e. (7) 2 f. 6 1 g. 6 0 h. (12x) 2 i. 1 j. 6bc 0 0 8 k. (11x) 0 l. 2 2 9 m. m 8 p 0 n. 5a 2c k ( mn) o. p. 8 p 2m n q. 8 2 q r 5 r. (10a) b 0

More information

Solve Quadratic Equations by Completing the Square

Solve Quadratic Equations by Completing the Square 10.5 Solve Quadratic Equations by Completing the Square Before You solved quadratic equations by finding square roots. Now You will solve quadratic equations by completing the square. Why? So you can solve

More information

Mesa Public Schools. Q3 practice test. Assessment Summary: Powered by SchoolCity Inc. Page 1 of 44

Mesa Public Schools. Q3 practice test. Assessment Summary: Powered by SchoolCity Inc.   Page 1 of 44 Mesa Public Schools Assessment Summary: Q3 practice test Powered by SchoolCity Inc. www.schoolcity.com Page 1 of 44 Assessment Summary: Q3 practice test Year: 2016-2017 Subject: Math Total Items: 43 Total

More information

Squares and Square Roots. The Pythagorean Theorem. Similar Figures and Indirect Measurement

Squares and Square Roots. The Pythagorean Theorem. Similar Figures and Indirect Measurement Lesson 9-1 Lesson 9-2 Lesson 9-3 Lesson 9-4 Lesson 9-5 Lesson 9-6 Squares and Square Roots The Real Number System Triangles The Pythagorean Theorem The Distance Formula Similar Figures and Indirect Measurement

More information

8-1 Geometric Mean. SOLUTION: We have the diagram as shown.

8-1 Geometric Mean. SOLUTION: We have the diagram as shown. 25. CCSS MODELING Makayla is using a book to sight the top of a waterfall. Her eye level is 5 feet from the ground and she is a horizontal distance of 28 feet from the waterfall. Find the height of the

More information

Similar Triangles, Pythagorean Theorem, and Congruent Triangles.

Similar Triangles, Pythagorean Theorem, and Congruent Triangles. ay 20 Teacher Page Similar Triangles, Pythagorean Theorem, and ongruent Triangles. Pythagorean Theorem Example 1: circle has a radius of 20 units. triangle is formed by connecting a point on the perimeter

More information

Irrational Numbers Study Guide

Irrational Numbers Study Guide Square Roots and Cube Roots Positive Square Roots A positive number whose square is equal to a positive number b is denoted by the symbol b. The symbol b is automatically denotes a positive number. The

More information

Pre-Algebra Chapter 3 Exponents and Roots

Pre-Algebra Chapter 3 Exponents and Roots Pre-Algebra Chapter 3 Exponents and Roots Name: Period: Common Core State Standards CC.8.EE.1 - Know and apply the properties of integer exponents to generate equivalent numerical expressions. CC.8.EE.2

More information

4 ft. 12 ft. 4) A student s final grade is computed based on the following distribution:

4 ft. 12 ft. 4) A student s final grade is computed based on the following distribution: ) 00 patients are given a new drug. 90 patients show improvement. 5 patients have side effects. 95 have no effect from the drug at all. How many show improvement and have side effects? a. 0 b. c. 05 d.

More information

Chapter 11 Similarity Problems

Chapter 11 Similarity Problems hapter Similarit roblems. ind the ratio of the perimeter of rectangle to the perimeter of rectangle L. L 4. Δ and ΔL are similar. ind the ratio of their corresponding sides. 5 ft ft 9 ft ft 0 m 8 m []

More information

Classwork 8.1. Perform the indicated operation and simplify each as much as possible. 1) 24 2) ) 54w y 11) wy 6) 5 9.

Classwork 8.1. Perform the indicated operation and simplify each as much as possible. 1) 24 2) ) 54w y 11) wy 6) 5 9. - 7 - Classwork 8.1 Name Perform the indicated operation and simplify each as much as possible. 1) 4 7) 16+ 5 49 ) 5 4 8) 11 6 81 ) 5 4x 9) 9 x + 49x 4) 75w 10) 6 5 54w y 5) 80wy 11) 15 6 6) 5 9 1) 15x

More information

CCGPS Coordinate Algebra Summer Packet (Rising 9 th graders)

CCGPS Coordinate Algebra Summer Packet (Rising 9 th graders) Name: CCGPS Coordinate Algebra Summer Packet (Rising 9 th graders) Numbers and Operations: Round the following numbers to the thousandth place. 1. 16,579.1256 2. 34. 876 3. 1,456.1289123 4. - 235.4575

More information

Lesson 16: Applications of Trig Ratios to Find Missing Angles

Lesson 16: Applications of Trig Ratios to Find Missing Angles : Applications of Trig Ratios to Find Missing Angles Learning Targets I can find a missing angle in a right triangle diagram and apply this to real world situation Opening Exercise Find the shadow cast

More information

Mid-Chapter Quiz: Lessons 10-1 through Refer to. 1. Name the circle. SOLUTION: The center of the circle is A. Therefore, the circle is ANSWER:

Mid-Chapter Quiz: Lessons 10-1 through Refer to. 1. Name the circle. SOLUTION: The center of the circle is A. Therefore, the circle is ANSWER: Refer to. 1. Name the circle. The center of the circle is A. Therefore, the circle is 2. Name a diameter. ; since is a chord that passes through the center, it is a diameter. 3. Name a chord that is not

More information

11.3 areas of circles and sectors 2016 ink.notebook. April 12, Page 134 Page Areas of Circles and Sectors. Standards.

11.3 areas of circles and sectors 2016 ink.notebook. April 12, Page 134 Page Areas of Circles and Sectors. Standards. 11.3 areas of circles and sectors 2016 ink.notebook Page 134 Page 133 11.3 Areas of Circles and Sectors Round to the nearest Lesson Objectives Standards Lesson Notes 11.3 Areas of Circles and Sectors Lesson

More information

Geometry Right Triangles and Trigonometry

Geometry Right Triangles and Trigonometry Geometry Right Triangles and Trigonometry Day Date lass Homework Th 2/16 F 2/17 N: Special Right Triangles & Pythagorean Theorem Right Triangle & Pythagorean Theorem Practice Mid-Winter reak WKS: Special

More information

SUMMER MATH PACKET. ENTERING Geometry

SUMMER MATH PACKET. ENTERING Geometry SUMMER MATH PACKET ENTERING Geometry Complete all of the following problems using the space provided. Enclosed is a copy of a Mathematics Reference Sheet to assist you if you need to find a formula. Also

More information

A. 180 B. 108 C. 360 D. 540

A. 180 B. 108 C. 360 D. 540 Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior

More information

Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra 1

Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra 1 8-7 Warm Up Lesson Presentation Lesson Quiz Algebra 1 Warm Up Find each square root. 1. 6 2. 11 3. 25 4. Solve each equation. x = 10 5. 6x = 60 6. 7. 2x 40 = 0 8. 5x = 3 x = 20 x = 80 Objective Solve quadratic

More information

Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.

Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement. Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12

More information

H-A2T THE INTEGERS UNIT 1 POLYNOMIALS AND THE NUMBER LINE (DAY 1)

H-A2T THE INTEGERS UNIT 1 POLYNOMIALS AND THE NUMBER LINE (DAY 1) H-AT THE INTEGERS UNIT POLYNOMIALS AND THE NUMBER LINE (DAY ) Warm-Up: Find the solution set of the following inequality: 0 5 < 40 INEQUALITY SOLUTION SETS Solve the inequality equation Graph the solution

More information

Set up equations to find the lengths of the sides labeled by variables, and Find answers to the equations x. 19 y a a b.

Set up equations to find the lengths of the sides labeled by variables, and Find answers to the equations x. 19 y a a b. SHADOWS After Day 10 SIMILAR POLYGONS In each of the pairs of figures below, assume the figures are similar and that they are facing the same way; that is, assume that the left side of one corresponds

More information

Name Date Class California Standards 17.0, Quadratic Equations and Functions. Step 2: Graph the points. Plot the ordered pairs from your table.

Name Date Class California Standards 17.0, Quadratic Equations and Functions. Step 2: Graph the points. Plot the ordered pairs from your table. California Standards 17.0, 1.0 9-1 There are three steps to graphing a quadratic function. Graph y x 3. Quadratic Equations and Functions 6 y 6 y x y x 3 5 1 1 0 3 1 1 5 0 x 0 x Step 1: Make a table of

More information

2014 Summer Review for Students Entering Algebra 2. TI-84 Plus Graphing Calculator is required for this course.

2014 Summer Review for Students Entering Algebra 2. TI-84 Plus Graphing Calculator is required for this course. 1. Solving Linear Equations 2. Solving Linear Systems of Equations 3. Multiplying Polynomials and Solving Quadratics 4. Writing the Equation of a Line 5. Laws of Exponents and Scientific Notation 6. Solving

More information

221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM

221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked

More information

Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree.

Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree. Ch. 9 Test - Geo H. Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree. 1. 2. 3. a. about 58.0 c. about 1.0 b. about 49.4 d. about 32.0 a. about 52.2

More information

Chapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2.

Chapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2. Chapter 7 Sect. 2 The well-known right triangle relationship called the Pythagorean Theorem is named for Pythagoras, a Greek mathematician who lived in the sixth century b.c. We now know that the Babylonians,

More information

Algebra 1 FINAL EXAM REVIEW Spring Semester Material (by chapter)

Algebra 1 FINAL EXAM REVIEW Spring Semester Material (by chapter) Name: Per.: Date: Algebra 1 FINAL EXAM REVIEW Spring Semester Material (by chapter) Your Algebra 1 Final will be on at. You will need to bring your tetbook and number 2 pencils with you to the final eam.

More information

Math 20-1 Functions and Equations Multiple Choice Questions

Math 20-1 Functions and Equations Multiple Choice Questions Math 0-1 Functions and Equations Multiple Choice Questions 1 7 18 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

More information

Assignment Assigned Date Due Date Grade 6.7 Worksheet

Assignment Assigned Date Due Date Grade 6.7 Worksheet Geometry Unit 6: Packet 2 CIRCLES This is a packet containing the homework and some classwork for the second half of unit 6. You will turn in completed assignments by their designated due date. If you

More information

Quadratic Graphs and Their Properties

Quadratic Graphs and Their Properties - Think About a Plan Quadratic Graphs and Their Properties Physics In a physics class demonstration, a ball is dropped from the roof of a building, feet above the ground. The height h (in feet) of the

More information

b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem

b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem Chapter 7 1. State which theorem you can use to show that the quadrilateral is a parallelogram. a) Parallelogram Opposite Angles Converse b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals

More information

1. Find the missing side x of the following triangle.

1. Find the missing side x of the following triangle. Math 116 Practice Final Exam 1. Find the missing side x of the following triangle. (A) 15.6 (B) 21.2 (C) 13.2 (D) 18.0 2. Negate the following statement. Some elephants have tails. (A) All elephants have

More information

Name: Test 1 Preview Math 306 September 21, 2011 Pythagoras and Number Sets

Name: Test 1 Preview Math 306 September 21, 2011 Pythagoras and Number Sets Name: Test 1 Preview Math 306 September 21, 2011 Pythagoras and Number Sets. Multiple choice: Circle the letter representing the best answer. 1. Which of the following groups of numbers represents lengths

More information

h h h b b Where B is the area of the base and h is the height. . Multiply this by the height to get 20(81 ) 1620 The base is a circle of area (9)

h h h b b Where B is the area of the base and h is the height. . Multiply this by the height to get 20(81 ) 1620 The base is a circle of area (9) Area and Volume Area Formulas: A bh 1 A bh A r C r h b b b h h h b b b r Volume: Prisms and Cylinders. V Bh Where B is the area of the base and h is the height. 10ft 9in 4ft 5ft 0in The base can be any

More information

Copy Material. Grade 8 Unit 7. Introduction to Irrational Numbers Using Geometry. Eureka Math. Eureka Math

Copy Material. Grade 8 Unit 7. Introduction to Irrational Numbers Using Geometry. Eureka Math. Eureka Math Copy Material Grade 8 Unit 7 Introduction to Irrational Numbers Using Geometry Eureka Math Eureka Math Lesson 1 Name Date Lesson 1: The Pythagorean Theorem Exit Ticket 1. Determine the length of the unknown

More information

Chapter 6 Polynomial Models and Linear Systems Section 6.1 Solving Polynomial Equations

Chapter 6 Polynomial Models and Linear Systems Section 6.1 Solving Polynomial Equations P a g e 53 Chapter 6 Polynomial Models and Linear Systems Section 6.1 Solving Polynomial Equations Definition: Polynomial Function A polynomial in x has an expression of the form where n is a nonnegative

More information

MCA/GRAD Formula Review Packet

MCA/GRAD Formula Review Packet MCA/GRAD Formula Review Packet 1 2 3 4 5 6 The MCA-II / BHS 2 Math Plan GRAD Page 1 of 16 Portions Copyright 2005 by Claude Paradis 8 9 10 12 11 13 14 15 16 1 18 19 20 21 The MCA-II / BHS 2 Math Plan GRAD

More information

Log1 Contest Round 2 Theta Geometry

Log1 Contest Round 2 Theta Geometry 008 009 Log Contest Round Theta Geometry Name: Leave answers in terms of π. Non-integer rational numbers should be given as a reduced fraction. Units are not needed. 4 points each What is the perimeter

More information

Franklin Math Bowl 2007 Group Problem Solving Test 6 th Grade

Franklin Math Bowl 2007 Group Problem Solving Test 6 th Grade Group Problem Solving Test 6 th Grade 1. Consecutive integers are integers that increase by one. For eample, 6, 7, and 8 are consecutive integers. If the sum of 9 consecutive integers is 9, what is the

More information

Square Root Functions 10.1

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

More information

Name: Period: Geometry Unit 5: Trigonometry Homework. x a = 4, b= a = 7, b = a = 6, c = a = 3, b = 7

Name: Period: Geometry Unit 5: Trigonometry Homework. x a = 4, b= a = 7, b = a = 6, c = a = 3, b = 7 Name: Period: Geometr Unit 5: Trigonometr Homework Section 5.1: Pthagorean Theorem Find the value of each variable or missing side. Leave answers in simplest radical form AND as a decimal rounded to the

More information

4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3

4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3 SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want

More information

~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations

~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations Geometry nd Semester Review 018 Find the value for the variable for each of the following situations. 7. 400 m 1. 7 8. y. 8.9 cm 0 0 9.. 19 6 60 1 11 10. 45 4. 58 5 11. 5. 11 6. 18 1 slide 4.1 meters long

More information

12-1 Trigonometric Functions in Right Triangles. Find the values of the six trigonometric functions for angle θ.

12-1 Trigonometric Functions in Right Triangles. Find the values of the six trigonometric functions for angle θ. Find the values of the six trigonometric functions for angle θ. 1. Opposite side = 8 Adjacent Side = 6 Let x be the hypotenuse. By the Pythagorean theorem, Therefore, hypotenuse = 10. The trigonometric

More information

2. to-2.52+l (3x + 7) + 5{x - 1") 5. 2x2 +5y x-4y L.32-5(6+4)+Z. a. 3(x - 8y) Unit 2; Unit 4: Unit 1: 1Can...

2. to-2.52+l (3x + 7) + 5{x - 1) 5. 2x2 +5y x-4y L.32-5(6+4)+Z. a. 3(x - 8y) Unit 2; Unit 4: Unit 1: 1Can... Name Date Period Math 8 EOST Review for Units 1-4 Review the "l Can" statement list for the main concepts of each unit (1-4) covered this semester. Unit 1: 1Can.... use order of operations to simplify

More information

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem and Its Converse The Pythagorean Theorem and Its Converse Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive

More information

Trigonometry 1st Semester Review Packet (#2) C) 3 D) 2

Trigonometry 1st Semester Review Packet (#2) C) 3 D) 2 Trigonometry 1st Semester Review Packet (#) Name Find the exact value of the trigonometric function. Do not use a calculator. 1) sec A) B) D) ) tan - 5 A) -1 B) - 1 D) - Find the indicated trigonometric

More information

8 th Grade Summer Review

8 th Grade Summer Review 8 th Grade Summer Review 1. Use these sets for the following questions (a - d): A = {1, 2, 5, 8, 9} B = {2, 4, 6, 8, 10} C = { } a. A B b. B C c. A B d. A C 2. Create a Venn diagram using the given sets.

More information

Evaluations with Positive and Negative Numbers (page 631)

Evaluations with Positive and Negative Numbers (page 631) LESSON Name 91 Evaluations with Positive and Negative Numbers (page 631) When evaluating expressions with negative numbers, use parentheses to help prevent making mistakes with signs. Example: Evaluate

More information

4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes.

4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes. Geometry Name: Composite Area I Worksheet Period: Date: 4. Find the areas contained in the shapes. 7. Find the areas contained in the shapes. 4 mm 2 mm 2 mm 4 cm 3 cm 6 cm 4 cm 7 cm 9. Find the shaded

More information

Adding/Subtracting/Multiplying/Dividing Positive and Negative Numbers

Adding/Subtracting/Multiplying/Dividing Positive and Negative Numbers Name 2018-2019 Algebra I Summer Packet This packet is required to be turned in on the first Friday of School. Order of Operations 1) 14 7 + 3 2 2) 42 2(-12 + 9) 3) 49 4) -14 5) 18 30 5 6) 48 (5 + 7) 9

More information

2. Linda paid $38 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket?

2. Linda paid $38 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket? KCATM 011 Word Problems: Team 1. A restaurant s fixed price dinner includes an appetizer, an entrée, and dessert. If the restaurant offers 4 different types of appetizers, 5 different types of entrees,

More information

Algebra II Honors Test Review 6-1 to 6-4

Algebra II Honors Test Review 6-1 to 6-4 Name: Class: Date: Algebra II Honors Test Review 6-1 to 6-4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Use a graphing calculator to determine which

More information

AC9 CRCT Weekly Review

AC9 CRCT Weekly Review 9 RT Weekly Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. picture that is 820 mm by 410 mm is to be reduced so that its larger dimension becomes

More information

Summer Math Packet Grade 8 / Course 3

Summer Math Packet Grade 8 / Course 3 SHOW WORK FOR EVERY PROBLEM 1. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth. 4. The weight of an object

More information

Precision and Accuracy. Precision and Accuracy. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra1

Precision and Accuracy. Precision and Accuracy. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra1 Precision and Accuracy Warm Up Lesson Presentation Lesson Quiz Convert each measure. Warm Up 1. 3210 mm to centimeters 321 cm 2. 18 in. to feet 1.5 ft 3. 52.5 kg to grams 4. 2.5 lbs to ounces 52,500 g

More information

Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.

Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. Mth101 Chapter 8 HW Name Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 1) 1) Rectangle 6 in. 12 in. 12 in.

More information