Study Guide and Intervention

Similar documents
2-1. Practice. Relations and Functions

NAME DATE PERIOD. Study Guide and Intervention. Ax + By = C, where A 0, A and B are not both zero, and A, B, and C are integers with GCF of 1.

NAME DATE PERIOD. Study Guide and Intervention

Study Guide and Intervention

Graphing Linear Functions The collection of all input values is called the of a function.

NAME DATE PERIOD. Study Guide and Intervention. Ax + By = C, where A 0, A and B are not both zero, and A, B, and C are integers with GCF of 1.

NAME DATE PERIOD. Study Guide and Intervention. Solving Rational Equations and Inequalities

Chapter 2 Resource Masters

Advanced Algebra II 1 st Semester Exam Review

4.6 Model Direct Variation

NAME DATE PERIOD. Study Guide and Intervention. Transformations of Quadratic Graphs

Skills Practice 8-9. Solving Systems of Equations. (1, 2) no solution (0, 2) (1, 3) infinitely many ( 2, 0) (4, 3) (2, 2) (12, 4) (3, 2) (13, 3)

Ready To Go On? Skills Intervention 5-1 Using Transformations to Graph Quadratic Functions

f(x) = 2x 2 + 2x - 4

Indicate the answer choice that best completes the statement or answers the question.

g ) (x) for each f(x) and g(x). x 2 g(x) = x2-9

2.1 Evaluate and Graph Polynomial

7-3 Skills Practice. Square Root Functions and Inequalities. Lesson 7-3. Graph each function. State the domain and range of each function.

(2.5) 1. Solve the following compound inequality and graph the solution set.

Name: Period: QVMS GTA FALL FINAL EXAM REVIEW PRE-AP ALGEBRA 1

TOLLESON UNION HIGH SCHOOL DISTRICT 8 th Grade Algebra 1 Study Guide. 1. Which of these graphs correctly represents the inequality

Algebra 1 Midterm Name

Chapter 5: Systems of Equations and Inequalities. Section 5.4. Check Point Exercises

Model Inverse Variation. p Write and graph inverse variation equations. VOCABULARY. Inverse variation. Constant of variation. Branches of a hyperbola

6-1 Study Guide and Intervention

NAME DATE PERIOD. Graphing Equations in Slope-Intercept Form

3.1 Graph Quadratic Functions

How can you write an equation of a line when you are given the slope and a point on the line? ACTIVITY: Writing Equations of Lines

MA 22000, Lesson 2 Functions & Addition/Subtraction Polynomials Algebra section of text: Sections 3.5 and 5.2, Calculus section of text: Section R.

Ready To Go On? Skills Intervention 2-1 Solving Linear Equations and Inequalities

Algebra 1, Semester 1 Exam Review

Math 0308 Final Exam Review(answers) Solve the given equations. 1. 3x 14 8x 1

4-1 Study Guide and Intervention

Algebra 2 Summer Recommendations

Section 1.1 Solving Linear Equations and Inequalities a + 4b c

Chapter Review. Review Key Vocabulary. Review Examples and Exercises. 4.1 Graphing Linear Equations (pp ) Graph y = 3x 1.

Name: Class: Date: Describe a pattern in each sequence. What are the next two terms of each sequence?

Study Guide and Intervention

7.5 Solve Special Types of

Example #1: Write an Equation Given Slope and a Point Write an equation in slope-intercept form for the line that has a slope of through (5, - 2).

Algebra I STAAR Practice Test B

Chapters 1 and 2 Test

Sect The Slope-Intercept Form

Systems of Linear Inequalities

NAME DATE PERIOD. Study Guide and Intervention. Solving Quadratic Equations by Graphing. 2a = -

f(x) Determine whether each function has a maximum or minimum value, and find that value. Then state the domain and range of the function.

1-6 Study Guide and Intervention

MATH SPEAK - TO BE UNDERSTOOD AND MEMORIZED

Chapter 5 Resource Masters

Elementary Algebra FALL 2005 Review for Exam 2

Reteach 2-3. Graphing Linear Functions. 22 Holt Algebra 2. Name Date Class

A) y = -5x + 3 B) y = 5x 3 C) y = -5x 3 D) y = 5x + 3

Shape and Structure. Forms of Quadratic Functions. Lesson 2.1 Assignment

Lesson 8T ~ Recursive Routines

BUILD YOUR VOCABULARY

Number of (Nested) Shopping Carts Three nested shopping carts are shown.

Rational Numbers. Integers. Irrational Numbers

Lecture Guide. Math 90 - Intermediate Algebra. Stephen Toner. Intermediate Algebra, 2nd edition. Miller, O'Neill, & Hyde. Victor Valley College

Algebra 1 (cp) Midterm Review Name: Date: Period:

Maintaining Mathematical Proficiency

PreAP Algebra II. Summer Work 2018

Which of the following expressions are monomials?

Chapter 9 BUILD YOUR VOCABULARY

Math 154A Elementary Algebra Fall 2014 Final Exam Study Guide

9-3 Linear Functions Going Deeper

The Quadratic Formula

A. 16 B. 16 C. 4 D What is the solution set of 4x + 8 > 16?

Study Guide and Intervention

Math Quest: Algebra II ilearnmath.net

Skills Practice Skills Practice for Lesson 5.1

Lesson 8 ~ Recursive Routines

APPLIED ALGEBRA II SEMESTER 1 EXAM ITEM SPECIFICATION SHEET & KEY

7-7A. Describing a Function from its Graph. Vocabulary. Lesson

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Elementary Algebra ~ Review for Exam 2

1.1. Use a Problem Solving Plan. Read a problem and make a plan. Goal p Use a problem solving plan to solve problems. VOCABULARY. Formula.

Factoring Polynomials

For use after the chapter Graphing Linear Equations and Functions 3 D. 7. 4y 2 3x 5 4; (0, 1) x-intercept: 6 y-intercept: 3.

ANSWER KEY. Checklist Do I understand? Test Date: A-Day 2/7. Algebra 1 Benchmark Review study guide is due on test day!

1Write and graph. 2Solve problems. Now. Then. Why? New Vocabulary

Math 141 Review for Midterm

Comparing Linear and Nonlinear Functions 5.5. ACTIVITY: Finding Patterns for Similar Figures. How can you recognize when a pattern

Name Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Travels in Air. Distance (miles) Time (seconds)

Algebra I - Study Guide for Final

My Math Plan Assessment #1 Study Guide

Intermediate Algebra Math 097. Evaluates/Practice Tests. For solutions, refer to the back of the PAN.

Essential Question How can you use a quadratic function to model a real-life situation?

Algebra 12nd 6 Weeks REVIEW

3.5 Start Thinking. 3.5 Warm Up. 3.5 Cumulative Review Warm Up

MA Lesson 23 Notes 2 nd half of textbook, Section 5.1 Increasing and Decreasing Functions

Chapter 1 Functions and Models

10.3 Solving Nonlinear Systems of Equations

(c) ( 5) 2. (d) 3. (c) 3(5 7) 2 6(3) (d) (9 13) ( 3) Question 4. Multiply using the distributive property and collect like terms if possible.

4.2 Start Thinking. 4.2 Warm Up. 4.2 Cumulative Review Warm Up

ALGEBRA II-GRAPHING QUADRATICS THE GRAPH OF A QUADRATIC FUNCTION

Algebra 2 Chapter 2 Page 1

Characteristics of Linear Functions (pp. 1 of 8)

Lesson Remember. Finding Domain and Range from a Graph EXAMPLE. Key Vocabulary

MATH SPEAK - TO BE UNDERSTOOD AND MEMORIZED

C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution

Transcription:

- Slope Stud Guide and Intervention Slope change in Slope m of a Line For points (, ) and (, ), where, m change in Eample Eample Determine the slope of the line that passes through (, ) and (, ). m Slope formula ( ) (, ) (, ), (, ) (, ) Simplif. The slope of the line is. Eercises Graph the line passing through (, ) with a slope of. Graph the ordered pair (, ). Then, according to the slope, go up units and right units. Plot the new point (,). Connect the points and draw the line. Find the slope of the line that passes through each pair of points.. (, 7) and (, ). (, ) and (, ) 0. (, ) and (7, ). (, ) and (, ). (, 0) and (, ). (, ) and (, ) 7. (7, ) and (, ) 8. (, 9) and (, ) 9. (, ) and (, 8) Graph the line passing through the given point with the given slope. 0. slope. slope. slope 0 passes through (0, ) passes through (, ) passes through (, ) Lesson -. slope. slope. slope passes through (, ) passes through (, 0) passes through (0, 0) Glencoe/McGraw-Hill 9 Glencoe Algebra

- Slope Find the slope of the line that passes through each pair of points.. (, ), (, ). (0, ), (, 0). (, 9), (0, ). (8, ), (, ). (, ), (, ) undefined. (, ), (0, ) 0 7. (, ), (, 7) 8. (, ), (, ) 9. (, ), (, ) 0 Graph the line passing through the given point with the given slope. 0. (0, ), m. (, ), m. (, ), m. (, ), m Lesson - Graph the line that satisfies each set of conditions.. passes through (0, ), perpendicular to. passes through (0, ), parallel to the a line whose slope is graph of. HIKING Naomi left from an elevation of 700 feet at 7:00 A.M. and hiked to an elevation of 9800 feet b :00 A.M. What was her rate of change in altitude? 00 ft/h Glencoe/McGraw-Hill 7 Glencoe Algebra

- Modeling Real-World Data: Using Scatter Plots For Eercises, complete parts a c for each set of data. a. Draw a scatter plot. b. Use two ordered pairs to write a prediction equation. c. Use our prediction equation to predict the missing value.. a. 7 7 8 0? 9 0 7 8 b. Sample answer using (, ) and (8, ): c. Sample answer: 9. a. 9 0 7 0 0 8 0 0? 0 8 0 0 0 0 0 b. Sample answer using (, 9) and (0, ): c. Sample answer:. a.? 0 7 8 0 8 0 7 8 b. Sample answer using (, ) and (7, ):. 8.8 c. Sample answer: 9. Lesson - Glencoe/McGraw-Hill 8 Glencoe Algebra

- Special Functions Identif each function as S for step, C for constant, A for absolute value, or P for piecewise.... Lesson - S C A Graph each function. Identif the domain and range.. f(). f() f() f() D all reals, R all integers D all reals, R all integers. g() 7. f() g() f() D all reals, D all reals, R { } R nonnegative reals 8. f() if 0 9. h() if if 0 if > f() h() D all reals, D { or }, R { 0 or } R { } Glencoe/McGraw-Hill 89 Glencoe Algebra

-7 Graphing Inequalities Graph each inequalit....... Lesson -7 7. 8. 9 0 9. 0. 7 9.. Glencoe/McGraw-Hill 9 Glencoe Algebra

- Practice (Average) Writing Linear Equations State the slope and -intercept of the graph of each equation.. 8 8,. 0. 0.,.,0 7 0. 7 0,.,. 0, Write an equation in slope-intercept form for each graph. 7. 8. 9. (0, ) (, ) (0, ) (, ) (, ) Write an equation in slope-intercept form for the line that satisfies each set of conditions. 0. slope, passes through (, 8). slope, passes through (0, ). slope 0, passes through (0, 0). slope, passes through (, 8) 0. passes through (, ) and (, ). passes through (7, ) and (, ) 9. -intercept, -intercept 7. -intercept, -intercept 7 7 7 8. passes through ( 8, 7), perpendicular to the graph of 9 9. RESERVIRS The surface of Grand Lake is at an elevation of 8 feet. During the current drought, the water level is dropping at a rate of inches per da. If this trend continues, write an equation that gives the elevation in feet of the surface of Grand Lake after das. 0. 8 0. BUSINESS Ton Marconi s compan manufactures CD-RM drives. The compan will make $0,000 profit if it manufactures 00,000 drives, and $,70,000 profit if it manufactures 00,000 drives. The relationship between the number of drives manufactured and the profit is linear. Write an equation that gives the profit P when n drives are manufactured. P n 0,000 Glencoe/McGraw-Hill 78 Glencoe Algebra