What do I need to know for the assessment? What are my resources to help me prepare for the assessment?

Transcription

1 Name: Block: Date: MATH 6/7 STUDY GUIDE What do I need to know for the assessment? Sequences, Functions & Relations Study Guide Sequences SOL 7.2 Functions & Relations SOL 7.12 Arithmetic and common difference Input, output, domain, and range Geometric and common ratio Vertical line test Sequence rules as algebraic expressions Determine the function given a table of values or set of ordered pairs Finding missing terms Determine if a list of values for a given relation is a function Complete or create a function table of values Interpret a graph to determine if the representation is a function Interpret a graph to determine a function equation Interpret graphs for a given function What are my resources to help me prepare for the assessment? Class Notes & Independent Practice Homework Complete the practice problems on the pages that follow. ASK questions if you need help before the assessment. OPTIONAL IXL Practice, 7th grade: Sequences Q.1: Identify arithmetic and geometric sequences Q.2: Arithmetic Sequences Q.3: Geometric Sequences Q.4: Number Sequences Mixed Review Q.5: Number Sequences Word Problems Q.7: Write Variable Expressions for Arithmetic Sequences Functions U.1: Does x, y satisfy the equation U.5: Complete a table for 2 variables U.6: Write a 2 variable equation U.7: Identify the graph of an equation U.8: Graph a 2 variable equation U.9: Interpret graphs word problems U.10: Write an equation from a graph V.1: Find slope from a graph V.6: Write a linear function

2 Sequences Practice 1 If the sequence shown continues, what will be the 8th term? 54, 48, 42, 36,... 2 Which pattern follows the common ratio of? A 162, 54, 18, 6, 2 B 120, 90, 60, 30, 10 C 108, 36, 18, 9, 3 D 105, 35, 32, 23, 20 3 Look at the table below and decide which rule Patrick s pattern follows. A 110 B 11 C 2 D 4 Describe the sequence shown as an algebraic expression. 64, 16, 4, 1,...

3 5 Complete the table below. Sequence Find the Common Difference or Common Ratio Write the rule as an Algebraic Expression Is the sequence Arithmetic or Geometric Find the next 3 terms 5, 8, 11, 14, 120, 60, 30, 15, 2.1, 2.2, 2.3, 2.4, 31, 22, 13, 4, 2, 12, 72, 432, 57, 50, 43, 36, 4.8, 4.2, 3.6, , 125, 25, 5, 1, 5, 25, 125, 1 3 4,1,1 4, 1 2,

4 Functions & Relations Practice 1 Given the table below, what is the rule as a function in two variables y? Input Output Given the table below, what is the rule as a function in two variables? Find the missing values to complete the function table Identify the domain and range for the following set. 5,0, 6, 2, 7, 4, 8, 6, 9, 8 5 Determine if the following set is a function. Explain. 5, 3, 4, 3, 3, 2, 2, 0 6 Determine the domain and range for the following table of values. Input Output

5 7 Which graph best represents the function 2 4? A B 8 Given the graph below, determine the equation.

6 9 Given the graph below, determine the equation. 10 Determine the equation for the given table of values. Input Output Determine the equation for the given table of values. domain range

7 12 Which appears to be the rule in the equation graphed? A B C D The domain is twice the range. The range is twice the domain. The range is two less than the domain. The domain is two less than the range. 13 Lucy is helping her father input his company s files into a new computer database. Her father agreed to pay her $5 for the first file and $2 for each files after that. Which equation, where stands for her pay, and stands for the number of files completed, could be used to determine Lucy s pay? A 2 5 B 5 2 C D Choose each ordered pair that is NOT a point on the graph of A 6, 2 B 12, 3 C 3, 1 D 24, 8 E 15, 5 F 0, 1

8 15 18: Determine if the following are functions and justify your answer , 5 6, 5 7, 5 8, , 2 3, 5 1, 8 11, Which table contains only the points that lie on the line represented by? A B C D y

9 21 24: Graph the following functions

10 Answer Key Sequences Practice A 3 D 4 5 Sequence Find the Common Difference or Common Ratio Write the rule as an Algebraic Expression Is the sequence Arithmetic or Geometric Find the next 3 terms 5, 8, 11, 14, 3 3 A 17, 20, , 60, 30, 15, G 7.5, 3.75, , 2.2, 2.3, 2.4, 31, 22, 13, 4, 2, 12, 72, 432, 57, 50, 43, 36, A 2.5, 2.6, A 5, 14, G 2592, 15552, A 29, 22, , 4.2, 3.6, A 2.4, 1.8, , 125, 25, 5, G 1, 1 5, , 5, 25, 125, 5 5 G 625, 3125, ,1,1 4, 1 2, A 1 1 4,2,23 4 SG M67 Sequences, Functions, & Relations SOL 7. 2 &

11 Functions and Relations Practice domain: 5, 6, 7, 8, 9 range: 0, 2, 4, 6, 8 5 The set is a function since each member of the domain has only one partner in the range. 6 Domain: 5,, 3, 6, 9 range: 14, 6, 9, 22, 0 7 B C 13 D 14 A, B, F 15 Not a function since 7 in the domain has two partners in the range 2 and 8 16 The set is a function since each member of the domain has one partner in the range. 17 Not a function since 1 in the range has two partners in the range 2 and 8 18 Not a function, does not pass the vertical line test 19 The graph is a function as it does pass the vertical line test. 20 C SG M67 Sequences, Functions, & Relations SOL 7. 2 &

12 SG M67 Sequences, Functions, & Relations SOL 7. 2 &