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Transcript
8th Grade Mathematics Study Guide Chapter 7—Rational Numbers TEST DATE: Tuesday, March 8, 2011 (100 points total) Please review the following concepts for your test on Tuesday. Complete the sample problems listed below to review. You should also review your classroom notes, daily assignments, and textbook to prepare for the Chapter 7 Test. If you do not understand a concept, please see me before the test. To write the prime factorization of a given number (2 problems) . Examples: Write the prime factorization of each number. 1. 60 2. 175 To find the Greatest Common Factor (GCF) of a set of numbers using prime factorization (2 problems). Example: Find the GCF of the set of numbers below using prime factorization. 3. 15 and 65 To identify numbers as rational or irrational (3 problems). Examples: Identify each number below as rational or irrational. 4. 0.454545. . . 5. 0.191191119. . . To write mixed numbers and fractions as decimal numbers (2 problems). Examples: Write the following fractions or mixed numbers as a decimal number. Use a bar to indicate repeating decimals when necessary. 6. 8 3 ----9 7. 5 ----6 To write decimals as fractions or mixed numbers in simplest form (2 problems). Examples: Write the following decimals as fractions or mixed numbers in simplest form. 8. 0.156 9. 2.35 To compare and order rational numbers (2 problems). Examples: Compare. Use >, <, or =. 10. 3 - ----4 5 - ----6 11. 1 - 1 ---9 1 - ----7 To add and subtract rational numbers (4 problems). Examples: Find the sum or difference for the following problems. 12. 1 - 5 ---- + (-3/5) 2 13. 5 3 ---6 - 8 7 ----9 To multiply and divide rational numbers (4 problems). Examples: Find the product or quotient for the following problems. 14. 4 - 2 ---- x 5 (-8/11) 15. - 16 To simplify expressions with exponents (4 problems). Examples: Simplify each expression below. 16. 69 ------ = 610 17. 8-2 = ÷ 1 1 ---3 To write numbers in scientific notation (2 problems). Examples: Write each number below in scientific notation. 18. 0.0000065 19. 3,005,000,000 To write numbers in standard form (2 problems). Examples: Write each number in standard form. 20. 2.5 x 10-6 21. 8.7 x 104 To solve rational number equations (one-step and two-step) (4 problems). Examples: Solve each equation. 22. -2/3g = 18 23. 1 -1/2x + 6 = 1 --3