7 Pre-Algebra First Semester Exam Review Chapters 1-2, 4, fractions & decimals

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1 Name Date 7 Pre-Algebra First Semester Exam Review Chapters 1-2, 4, fractions & decimals Teacher: Miss Stanley (1-47) Definitions 1. opposite numbers 2. counting numbers 3. a fraction less than 1 4. zero on a number line 5. the number of a graph 6. the members of a ratio 7. the small raised number 8. the dot on a number line 9. zero plus counting numbers 10. two numbers whose GCF is two numbers whose product is whole numbers and their opposites 13. a number line running left and right 14. comparing two numbers by division 15. used to name points on a number line 16. nonterminating, nonrepeating decimals 17. the largest number to have its own name 18. a number that has more than two factors 19. a mathematical expression with one term

2 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals consists of a whole number plus a fraction 21. used to show relationship between numbers 22. the number used as a factor 1 or more times 23. a letter of the alphabet that represents a number 24. a number that has only two factors (1 and itself) 25. two prime numbers that have a difference of two 26. the two math phrases of a mathematical sentence 27. numerator is equal to or greater than denominator 28. the set of all possible solutions to a given sentence 29. the product of a whole number and a given number 30. a simplified form of writing repeated multiplication 31. an expression with no like terms and no parentheses 32. a mathematical sentence that contains an equal sign 33. any sentence that is either true or false, but not both 34. the numerical factor accompanying the variable(s) in a term 35. fractions with variables in the numerator and/or denominator 36. the distance the number is from the zero point on a number line 37. a combination of variables, numbers, and at least one operation 38. to find the numbers that have been multiplied to give a product 39. a number that when multiplied with another number gives a product 40. expressions that contain the same variables with the same exponents 41. a number that replaces the variable which makes a math sentence true 42. to find the value of an expression by replacing variables with numbers 43. the smallest nonzero number that is a multiple of 2 (or more) numbers 44. a number, a variable, or a product or quotient of numbers and variables

3 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals finding the prime numbers that when multiplied together give a product 46. a math sentence that is neither true nor false until more information is given 47. the greatest whole number that is a factor of each of two or more numbers being considered (48-57) Give the symbol for each. 48. absolute value 49. complex 50. integer 51. irrational 52. is greater than 53. is less than or equal to 54. natural 55. rational 56. real 57. whole 58. Which grouping equals 183? a. 250 / / 8 17 b. 250 / 5 (5 + 27) / 8 17 c. (250 / 5 5) + 27 / 8 17 d. (250 / 5) (5 + 27) / (8 17) 59. Which expression has four terms? a. 8xyz b. 2x + 3y c. x + y z 3 d. 2x 2 + 3x 4y Which is not written in descending order? a. 5x 2 4x 3 + 2x 1 b. 4x 2 3x + 2 c. 8x + 6 d. x 3 2x 2 + 5x + 7

4 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals Which expression is not equal to the other three? a. 5x + 3y 2x + 6y + 12 b. -6 x + 4x + 9y + 18 c. 2y + 3x + 7y + 12 d x 4 + 9y + x (62-66) Evaluate / / 4 81/ / / (16 / / 4) / [5 / (25 / 5)] (67-70) Simplify by combining like terms; write the answer in descending order p + 3p + 2p p x xy 12y xy 11x m + 12mn 15m m 2 mn 9x 2 yz xy 2 z + 6x 3 + 4xy 2 z (71-76) Find each absolute value

5 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals 5 (77-88) Perform each operation and record the answer in the blank provided (-3)(8) / (-5)(-12) / (89-98) Simply each expression x + -13x + 72x cd 48cd + 12cd 91. f 33f 92. 3(-5a) + 8a g / / x - -30x p / -5

6 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals 6 (99) In the chart place a check if the number is divisible by the following: 81, ( ) Write each number in the following forms: exponential form standard form factored form /1, , /10 1/ Factor Name the base: Name the exponent: Evaluate: ( ) Tell if the number is prime or composite: Are 39 & 41 relatively prime numbers? Name the first composite number. What is the only even prime number?

7 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals Name the first prime number. Are 39 & 41 twin primes? Which whole numbers are neither prime nor composite? ( ) Prime factor each monomial and find the GCF and LCM GCF 122. LCM 123. c 9 d 3 e 7 f 124. ab 3 d 2 e 4 f GCF 126. LCM ab 2 c ab 4 c GCF 130. LCM

8 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals 8 ( ) Simplify each fraction ab 2 c 6 / 60ab 4 c c 9 d 3 e 7 f / ab 3 d 2 e 4 f 10 ( ) Find the LCD for each pair of fractions /390 and 203/ /50ab 2 c 6 and 91/60ab 4 c 3 ( ) Replace each? with >, <, or = to make a true statement /12? 5/ /9? 13/ /15? 8/12 ( ) Find each product a 4 b 6 (a 3 b 7 ) 140. (8y 7 )(-3y 4 ) ( ) Find each quotient / y 9 / y / 4 5

9 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals 9 ( ) Simplify. Express each result with positive exponents. Assume no denominator is equal to zero a 7 b t d g 4 / g 9 ( ) Follow the operation signs and solve these problems. Be sure to express your answers in lowest terms / /5-6 15/ / / / / /5 15/ (4/5) / /6 4 2/ / / / / /6 3 1/ (7 1/2) / (2 1/6) /8-2 3/ /4 2/ /9-3 4/ / (3 3/5) /12-9 9/ (5/18) / (5/12)

10 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals /5 5/24 ( ) Tell whether each of the following fractions is a proper fraction (use P) or an improper fractions (use I) / / /15 ( ) Simplify each fraction to lowest terms / / / /108 ( ) Find the missing numerator or denominator /5 = 5/? /35 =?/ /? = 2/5 176.?/100 = 3/ /15 =?/90 ( ) Compare these fractions, using the appropriate sign (>,<,=) /9 and 8/ /7 and 10/ /2 and 15/ /3 and 8/5

11 7 th Pre-Algebra 1 st Semester Exam Review/Chapters 1-2, 4, fractions & decimals 11 ( ) Rename the following mixed numbers as improper fractions and the improper fractions as mixed numbers / / / /9 ( ) Change these decimals to FRACTIONS in LOWEST TERMS: ( ) Change these fractions to DECIMALS: / / / /10000 ( ) Compute x / / x 100, /

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