Name _______Key___________ Date _____________ Block _______ Math 6 - Unit 2 Test – Study Guide Sequences, Integers, Absolute Value & Coordinate Plane SOL 6.17, 6.3, 6.11 Write an integer for each situation. (6.3) 1) 100 feet above sea level __+ 100 ft__ 2) a hot air balloon descends 55 feet __- 55 ft___ Write a real life situation with the given integer. 3) -25 ____________A loss of 25 pounds or 25 degrees below normal__________________________ Order the integers in ascending order (from least to greatest). 4) ___-12, -9, -7, -3, 3, 5____ 5, -7, -12, -9, 3, -3 Evaluate. 5) = _ 78 __ 6) = __ 9 __ Explain what Absolute Value means ___Absolute Value is the distance from any integer to zero_ ____that value is always a positive number___ Compare using >, <, or =. 7) -4 _ > __ -11 8) -14 _ > _ -41 9) 9 _ = _ How do you know if an integer is larger than another integer? How can you tell? __The bigger the positive integer the bigger the number, the bigger the negative integer the smaller the number__ Number the number line and graph the following numbers on the given number line. 10) 4, -1, 3, -3, 0 Identify the integer represented by the letter. 11) A __ 1 __ 12) B __ - 2 __ State whether each sequence is arithmetic, geometric, or neither. If it is arithmetic or geometric, state the common difference or common ratio. Then write the next three terms of the sequence. (6.17) 13) 1, 4, 16, 64, … 14) 0.2, 0.4, 0.6, 0.8, … 15) 6, 9, 12, 15, … Type of Sequence What is the Common Difference/Ratio? Next Three Terms geometric x4 256, 1024, 4096 arithmetic + .2 1.0, 1.2, 1.4 arithmetic +3 18, 21, 24 Critical Thinking. 16) Sally has 8 trees in her yard. She plans to plant 2 more trees each month for the next three months. a) How many trees will she have in her yard for each of the next three months? ___ 10 ___ , ___ 12 ___ , ___ 14 ___ b) What type of sequence is this? arithmetic 17) Describe the difference between an arithmetic sequence and a geometric sequence. __Arithmetic sequences are ones in which the next term is found by adding the same number to the previous term, geometric sequences are ones in which the next term is found by multiplying the same number to the previous term. __ Use the graph on the right to identify the coordinates of the following points and identify their Quadrants. Ordered Pair Quadrant 29) M __(3,-4)___ __ 4 __ 30) P __(-5, -3)___ __ 3 ___ 31) R __(-3, 2)___ __ 2 __ 32) D ___(2,5)__ __ 1___