Long-term Memory Review CRT PRACTICE 8 th Grade: MONDAY REVIEW STATE STANDARDS AND 2.8.2

Similar documents
Data 2: Sequences and Patterns Long-Term Memory Review Grade 8 Review 1

Chapter Vectors

Sect 5.3 Proportions

Mini Lecture 10.1 Radical Expressions and Functions. 81x d. x 4x 4

SEQUENCES AND SERIES

11.1 Arithmetic Sequences and Series

LESSON 2: SIMPLIFYING RADICALS

is also known as the general term of the sequence

An alternating series is a series where the signs alternate. Generally (but not always) there is a factor of the form ( 1) n + 1

n m CHAPTER 3 RATIONAL EXPONENTS AND RADICAL FUNCTIONS 3-1 Evaluate n th Roots and Use Rational Exponents Real nth Roots of a n th Root of a

3.2 Properties of Division 3.3 Zeros of Polynomials 3.4 Complex and Rational Zeros of Polynomials

14.2 Simplifying Expressions with Rational Exponents and Radicals

Define and Use Sequences and Series

18.440, March 9, Stirling s formula

Essential Question How can you use properties of exponents to simplify products and quotients of radicals?

Zeros of Polynomials

Essential Question How can you recognize an arithmetic sequence from its graph?

Section 6.4: Series. Section 6.4 Series 413

11.1 Radical Expressions and Rational Exponents

= 4 and 4 is the principal cube root of 64.

SEQUENCE AND SERIES NCERT

Rearranging the Alternating Harmonic Series

Injections, Surjections, and the Pigeonhole Principle

FLC Ch 8 & 9. Evaluate. Check work. a) b) c) d) e) f) g) h) i) j) k) l) m) n) o) 3. p) q) r) s) t) 3.

KNOWLEDGE OF NUMBER SENSE, CONCEPTS, AND OPERATIONS

On a Smarandache problem concerning the prime gaps

Sect Definition of the nth Root

Theorem: Let A n n. In this case that A does reduce to I, we search for A 1 as the solution matrix X to the matrix equation A X = I i.e.

Academic. Grade 9 Assessment of Mathematics. Released assessment Questions

Measures of Spread: Standard Deviation

1. By using truth tables prove that, for all statements P and Q, the statement

n=1 a n is the sequence (s n ) n 1 n=1 a n converges to s. We write a n = s, n=1 n=1 a n

Writing Algebraic Expressions

Mathematical Induction

Chapter 9 Sequences, Series, and Probability Section 9.4 Mathematical Induction

SEQUENCES AND SERIES

You may work in pairs or purely individually for this assignment.

MATHEMATICS: PAPER III (LO 3 AND LO 4) PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY

Objective Mathematics

Algebra II Notes Unit Seven: Powers, Roots, and Radicals

NAME: ALGEBRA 350 BLOCK 7. Simplifying Radicals Packet PART 1: ROOTS

Order doesn t matter. There exists a number (zero) whose sum with any number is the number.

4.3 Growth Rates of Solutions to Recurrences

Math 155 (Lecture 3)

EE422G Homework #13 (12 points)

Analytic Theory of Probabilities

Matrix Algebra 2.2 THE INVERSE OF A MATRIX Pearson Education, Inc.

If we want to add up the area of four rectangles, we could find the area of each rectangle and then write this sum symbolically as:

Once we have a sequence of numbers, the next thing to do is to sum them up. Given a sequence (a n ) n=1

SNAP Centre Workshop. Basic Algebraic Manipulation

N14/5/MATHL/HP1/ENG/TZ0/XX/M MARKSCHEME. November 2014 MATHEMATICS. Higher Level. Paper pages

Find a formula for the exponential function whose graph is given , 1 2,16 1, 6

XT - MATHS Grade 12. Date: 2010/06/29. Subject: Series and Sequences 1: Arithmetic Total Marks: 84 = 2 = 2 1. FALSE 10.

Recurrence Relations

MISCELLANEOUS SEQUENCES & SERIES QUESTIONS

P.3 Polynomials and Special products

Properties and Tests of Zeros of Polynomial Functions

Spring 2016 Exam 2 NAME: PIN:

MATH 129 FINAL EXAM REVIEW PACKET (Revised Spring 2008)

1. Hilbert s Grand Hotel. The Hilbert s Grand Hotel has infinite many rooms numbered 1, 2, 3, 4

Calculus II - Problem Drill 21: Power Series, Taylor and Maclaurin Polynomial Series

Fall 2018 Exam 2 PIN: 17 INSTRUCTIONS

Inverse Matrix. A meaning that matrix B is an inverse of matrix A.

A sequence of numbers is a function whose domain is the positive integers. We can see that the sequence

Eigenvalues and Eigenvectors

Induction: Solutions

Sequences, Mathematical Induction, and Recursion. CSE 2353 Discrete Computational Structures Spring 2018

Sail into Summer with Math!

UNIT #5. Lesson #2 Arithmetic and Geometric Sequences. Lesson #3 Summation Notation. Lesson #4 Arithmetic Series. Lesson #5 Geometric Series

CSE 1400 Applied Discrete Mathematics Number Theory and Proofs

SECTION 1.5 : SUMMATION NOTATION + WORK WITH SEQUENCES

EXERCISE - 01 CHECK YOUR GRASP

Notice that this test does not say anything about divergence of an alternating series.

Topic 9: Sampling Distributions of Estimators

SEQUENCES AND SERIES

In number theory we will generally be working with integers, though occasionally fractions and irrationals will come into play.

The Growth of Functions. Theoretical Supplement

Section 11.8: Power Series

Z ß cos x + si x R du We start with the substitutio u = si(x), so du = cos(x). The itegral becomes but +u we should chage the limits to go with the ew

Random Models. Tusheng Zhang. February 14, 2013

APPENDIX F Complex Numbers

Algebra of Least Squares

Sequences A sequence of numbers is a function whose domain is the positive integers. We can see that the sequence

STP 226 EXAMPLE EXAM #1

6.003: Signals and Systems. Feedback, Poles, and Fundamental Modes

CHAPTER 2 SEQUENCES AND SERIES OUTLINE Geometric Series Infinite Geometric Series and Sigma Notation 4 Review

Number of fatalities X Sunday 4 Monday 6 Tuesday 2 Wednesday 0 Thursday 3 Friday 5 Saturday 8 Total 28. Day

CSI 2101 Discrete Structures Winter Homework Assignment #4 (100 points, weight 5%) Due: Thursday, April 5, at 1:00pm (in lecture)

Progressions. ILLUSTRATION 1 11, 7, 3, -1, i s an A.P. whose first term is 11 and the common difference 7-11=-4.

Unit 6: Sequences and Series

Math 234 Test 1, Tuesday 27 September 2005, 4 pages, 30 points, 75 minutes.

Matrices and vectors

WORKING WITH NUMBERS

Exponents. Learning Objectives. Pre-Activity

CALCULATION OF FIBONACCI VECTORS

UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST. First Round For all Colorado Students Grades 7-12 November 3, 2007

= = =

07 - SEQUENCES AND SERIES Page 1 ( Answers at he end of all questions ) b, z = n

RADICAL EXPRESSION. If a and x are real numbers and n is a positive integer, then x is an. n th root theorems: Example 1 Simplify

Linearly Independent Sets, Bases. Review. Remarks. A set of vectors,,, in a vector space is said to be linearly independent if the vector equation

Transcription:

CRT PRACTICE 8 th Grade: MONDAY REVIEW Word Bak: use these words to fill i the blaks for Questio 1. Words may be used oce, more tha oce, or ot at all. sequece series factor term equatio expressio 1) A() is a set of umbers or objects writte i a specific order, usually accordig to a mathematical rule or patter. Each oe of the separate umbers or objects is 2) Fill i the missig umber i the followig patter: 21, 24, 27, 30,, 36, 39,. 3) Draw the ext picture i the patter: 4) Match each verbal descriptio i the left colum with its mathematical expressio i the right colum. Fill i the blak with the correct expressio. The product of a umber ad 23: The sum of 23 ad a umber: 23 + 23 The quotiet of a umber ad 23: 23 The differece of 23 ad a umber: 23 5) The table below shows the relatioship betwee the variables x ad y. Based o the table, which formula describes the relatioship betwee x ad y? x y 1 5 2 7 3 9 4 11 A) y = x + 4 B) y = 5x C) y = 2x + 3 D) y = 3x 1

CRT PRACTICE 8 th Grade: TUESDAY REVIEW Word Bak: use these words to fill i the blaks for Questio 1. Words may be used oce, more tha oce, or ot at all. sequece series factor term equatio expressio 1) A collectio of quatities liked by sigs ad operatios is called a(). A statemet showig that two s are equal is called a(). 2) Fid the ext three terms i the followig sequece: 1, 4, 9, 16, 25,,, 3) Draw the missig figure i the patter:,,,,, 4) Which of the followig equatios is equivalet to the statemet, 2 less tha the product of a umber ad 8 is 20? A) 2 8 = 20 B) 8 2 = 20 C) 2 8 = 20 D) (8 2) = 20 5) Write a verbal descriptio for the followig expressio: + 3 8 6) The carival came to tow. The cost of the carival is $10 for admissio plus $2 for every ride. Complete the table below showig the total cost of goig to the carival for a give umber of rides? umber of rides 0 1 2 3 10 total cost 7) Create your ow sequece usig umbers. Give a rule to fid ay term i your sequece.

CRT PRACTICE 8 th Grade: WEDNESDAY REVIEW Word Bak: use these words to fill i the blaks for Questio 1. Words may be used oce, more tha oce, or ot at all. sequece series factor term equatio expressio 1) A collectio of quatities liked by sigs ad operatios is called a(). A statemet showig that two s are equal is called a(). A() is a set of umbers or objects writte i a specific order, usually accordig to a mathematical rule or patter. Each oe of the separate umbers or objects is 2) a) Fid the 7 th term i the sequece: 4, 8, 16, 32, 3) Write a rule to fid the umber of circles i th term i the patter below: 4) Which of the followig expressios is equivalet to the statemet, Nie times the quatity of x less tha 2? A) 9(x 2) B) 9(x) 2 C) 9(2 x) D) 9(2) x 5) Write a verbal descriptio for the followig expressio: 10 2 = 4 6) It costs 39 to mail a oe-ouce letter. Each additioal ouce costs 24. Complete the table below to show the cost of a letter weightig betwee oe ad five ouces. Which equatio describes the patter i the table? weight (oz) 1 2 3 4 5 cost ( ) 39 63 87 111 135 A) cost = 39 weight 24 B) cost = 39 weight + 24 C) cost = 24 weight 39 D) cost = 24 weight + 39 7) Create your ow sequece usig symbols. Give a rule to fid ay term i your sequece.

CRT PRACTICE 8 th Grade: THURSDAY REVIEW 1) A collectio of quatities liked by sigs ad operatios is called a(). A statemet showig that two s are equal is called a(). A() is a set of umbers or objects writte i a specific order, usually accordig to a mathematical rule or patter. Each oe of the separate umbers or objects is 2) a) Fid the 6 th term i the sequece: 3 6, 5 6, 7 6, 9 6, b) Write a rule for the th term. 3) a) How may dots are i the teth term of the patter below? b) Write a rule to fid the umber of dots i th term of the patter: 4) Which of the followig expressios is equivalet to the statemet, A umber is multiplied by 6 the 5 is added to the product? A) 6 + 5 B) 6( + 5) C) + 6 5 D) 6 + 5(6) 5) Write a verbal descriptio for the followig equatio: 3(x 6) = 19 6) The pressure P (i pouds per square foot) exerted o a scuba diver who is d feet below the surface of the water is show i the followig table. a) What is the pressure at 8 feet? d 1 2 3 4 5 P 15.1 15.5 15.9 16.3 16.7 b) Write a equatio to fid the pressure P at d feet.

CRT PRACTICE 8 th Grade: FRIDAY TEST 1) A collectio of quatities liked by sigs ad operatios is called a(). A statemet showig that two s are equal is called a(). A() is a set of umbers or objects writte i a specific order, usually accordig to a mathematical rule or patter. Each oe of the separate umbers or objects is 2) a) Fid the missig term i the followig patter: 1, 2 3, 4 9,, 16 81, 3) a) Fid the 8 th term i the sequece: 1, 4, 7, 10, b) Write a rule for the th term. 4) a) How may dots are i the teth term of the patter:? b) Write a rule to fid the umber of dots i th term of the patter: 5) Which of the followig equatios is equivalet to the statemet, Whe 3 is subtracted from twice a umber, the result is 15? A) 2 5 = 15 B) 2( 3) = 15 C) 2 3 = 15 D) 3 2 = 15 6) Write a verbal descriptio for the followig expressio: 6 15 7) The carival is back i tow. This time, admissio costs $5 ad each ride costs $2. Complete the table below to show the total cost of admissio ad rides. Which formula relates the total cost C based o the umber of rides r? umber of rides 0 1 2 3 4 r total Cost C A) C = r + 6 B) C = 5r 1 C) C = 3r + 1 D) C = 2r + 5