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Name: _________________________ Block: ____________________ Date: ____________________ Math 6: Study Guide UNIT 5 Equations Section 1: Sequences Match each word to the correct definition. ______1.) Term ______2.) Common Difference ______3.) Arithmetic Sequence ______4.) Sequence ______5.) Geometric Sequence ______6.) Common Ratio A) a set of numbers arranged in a special order B) number sequence in which each consecutive term is found by adding the same number C) number sequence in which each consecutive term is found multiplying by the same number D) number added to each term in an arithmetic sequences E) number that each term is multiplied by in a geometric sequence F) each of the numbers in a sequence Name: _________________________ Block: ____________________ Date: ____________________ 7.) Give the next three terms of the given sequence: 2, 8, 32, _____, _____, _____ Circle the type of sequence: Arithmetic Geometric Neither Circle the type of pattern and list it on the line: Common Ratio ________________________________________ Common Difference ____________________________________ Other Pattern _________________________________________ 8.) Give the next three terms of the given sequence: 82, 78, 74, _____, _____, _____ Circle the type of sequence: Arithmetic Geometric Neither Circle the type of pattern and list it on the line: Common Ratio ________________________________________ Common Difference ____________________________________ Other Pattern _________________________________________ Name: _________________________ Block: ____________________ Date: ____________________ 9.) Give the next three terms of the given sequence: 1, 1, 2, 3, 5, _____, _____, _____ Circle the type of sequence: Arithmetic Geometric Neither Circle the type of pattern and list it on the line: Common Ratio ________________________________________ Common Difference ____________________________________ Other Pattern _________________________________________ 10.) Jamie is using the numerical pattern 2.75, 7.75, 12.75, 17.75… to create a similar pattern. Starting with any number you choose, use the same pattern to create a sequence with five terms. ________ , ________ , ________ , ________, ________ Name: ___________________ Block: __________________ Date: _____________________ Section 2: Equations Solve each equation. Check your solution. Graph your answer. 11.) x + 2 = 8 12.) 17 = m + 9 13.) 5 = c – 4 Check: Check: 11.) Answer __________ 12.) Answer __________ Check: 13.) Answer __________ Name: ___________________ 14.) n–7=2 Block: __________________ Date: _____________________ Check: 14.) Answer ___________ 15.) 5b = 40 Check: 15.) Answer ___________ 16.) 18 = 2f Check: 16.) Answer ___________ Name: ___________________ 17.) 18.) Block: __________________ y=2 3 2=n 4 Check: 17.) Answer ___________ Check: Answer the following questions. 19.) A. B. C. D. Which is an equation? 52 = 0.5 + x 5x + 7 (48-6x) + 13 ½x+7 Date: _____________________ 18.) Answer ___________ Name: ___________________ Block: __________________ Date: _____________________ 20.) What value of z makes the number sentence shown true? z + 53 = 92 A. B. C. D. 4,876 145 49 39 21.) Which best describes the circled part of the following? 2x+5=9 A. B. C. D. Variable Coefficient Term Equation 22.) Miss Jackson wrote this number sentence on the board. 7x = 36 Which procedure could be used to find a value for x that will make the number sentence true? A. B. C. D. Subtract 7 from 7x, and subtract 7 from 36 Multiply 7x by 7, and multiply 36 by 7 Divide 7x by 7, and divide 36 by 7 Add 7 to 7x, and add 7 to 36 Name: ___________________ 23.) 24.) Block: __________________ Date: _____________________ Name: ___________________ Block: __________________ Date: _____________________ Express whether the following is an expression, equation, or inequality. 25.) 5x + 12 ______________________________________ 26.) 3x > 1 ______________________________________ 27.) x–5=2 ______________________________________ 28.) 14x ______________________________________