Introduction To Algebra Test

50 Questions | Total Attempts: 18

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Introduction To Algebra Test

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Questions and Answers
  • 1. 
    Which word best describes the 2 in the expression 3x2 + 4x + 7.
    • A. 

      Coefficient

    • B. 

      Constant

    • C. 

      Exponent

    • D. 

      Term

    • E. 

      Variable

  • 2. 
    Which word best describes the 3 in the expression 3x2 + 4x + 7.
    • A. 

      Coefficient

    • B. 

      Constant

    • C. 

      Exponent

    • D. 

      Term

    • E. 

      Variable

  • 3. 
    Which word best describes the x in the expression 3x2 + 4x + 7.
    • A. 

      Coefficient

    • B. 

      Constant

    • C. 

      Exponent

    • D. 

      Term

    • E. 

      Variable

  • 4. 
    Which word best describes the 7 in the expression 3x2 + 4x + 7.
    • A. 

      Coefficient

    • B. 

      Constant

    • C. 

      Exponent

    • D. 

      Term

    • E. 

      Variable

  • 5. 
    Which word best describes the 4x in the expression 3x2 + 4x + 7.
    • A. 

      Coefficient

    • B. 

      Constant

    • C. 

      Exponent

    • D. 

      Term

    • E. 

      Variable

  • 6. 
    Simplify  [ a2 – 2a + 7a2 + 9a + a – 4a2  ] by collecting like terms.
    • A. 

      4a2 - 8a

    • B. 

      - 4a2 + 8a

    • C. 

      12a2+ 8a

    • D. 

      4a2 + 8a

    • E. 

      None of the above

  • 7. 
    Simplify  [ –6p2 – 20p – 4p – 10p2 – 3 + 2p + 5  ] by collecting like terms.
    • A. 

      16p2 – 22p + 2

    • B. 

      –16p2 – 22p + 2

    • C. 

      –16p2 – 22p – 2

    • D. 

      16p2– 22p – 2

    • E. 

      None of the above

  • 8. 
    Simplify  [  2n2 + 2n + 1 – 10n2 – n – 15n + 9 – n  ] by collecting like terms.
    • A. 

      8n2 – 15n + 10

    • B. 

      –8n2 + 15n + 9

    • C. 

      –8n2 – 15n – 1

    • D. 

      –8n2 – 15n + 10

    • E. 

      None of the above

  • 9. 
    Simplify  [ –11x + 2y + 5 + 3y + 7 + 1 – 6x  ] by collecting like terms.
    • A. 

      17x – 5y + 13

    • B. 

      –17x + 5y + 13

    • C. 

      17x + 5y – 13

    • D. 

      –17x – 5y + 13

    • E. 

      None of the above

  • 10. 
    Simplify  [ 5a2 + 4a + 17 – 2a + 3a2 – 4  ] by collecting like terms.
    • A. 

      8a–2a + 13

    • B. 

      –8a2 + 2a + 15

    • C. 

      8a2 + 2a + 13

    • D. 

      8a2 + 2a + 17

    • E. 

      None of the above

  • 11. 
    Which of the following is equivalent to the expression 3(x + 2) – 7?
    • A. 

      3(x + 2 – 7)

    • B. 

      3x + 6 – 7

    • C. 

      3x + 6 – 21

    • D. 

      3x – 5

    • E. 

      None of the above

  • 12. 
    Which of the following expressions mean the same thing? [Select two options]
    • A. 

      2(4 + 5)

    • B. 

      4 + 5(2)

    • C. 

      (4 + 5)(2)

    • D. 

      2(4) + 5

  • 13. 
    Which of the following expressions mean the same thing? [Select two options]
    • A. 

      5(2x + 7)

    • B. 

      5(2x) + 7

    • C. 

      2x + 7(5)

    • D. 

      (2x + 7)(5)

  • 14. 
    Which of the following expressions mean the same thing? [Select two options]
    • A. 

      –8(6x – 4)

    • B. 

      –48x – 36

    • C. 

      –48x + 32

    • D. 

      –48x – 32

  • 15. 
    Which expression shows –3(x + 5) in expanded form?
    • A. 

      –3x + 15

    • B. 

      –3x + 5

    • C. 

      –3x – 8

    • D. 

      –3x – 15

  • 16. 
    Which of the following expressions mean the same thing? [Select all the correct options]
    • A. 

      –9(6y – 4y)

    • B. 

      –54y – 36y

    • C. 

      –54y + 36y

    • D. 

      –18y

    • E. 

      18y

  • 17. 
    Which of the following is equivalent to the expression 8(2x + 2) – 3(4x + 6)?
    • A. 

      4x + 10

    • B. 

      28x + 34

    • C. 

      4x – 2

    • D. 

      4x + 34

  • 18. 
    Simplify the expression: ( - 8v+ 4v3 + 3v) + (- 8v+ 4v - 7)
    • A. 

      -17v4 + 4v3 + 2v - 7

    • B. 

      -16v4 + 4v3 + 7v - 7

    • C. 

      -16v4 + 4v3 + 10v - 7

    • D. 

      -16v4 + 4v3 + 2v - 7

  • 19. 
    Simplify the expression: (–6p4  + p3 + 1) – ( 8p4–8p+ 7)
    • A. 

      –14p4 + 9p3 – 6

    • B. 

      –14p4 + 9p3 – 1

    • C. 

      –14p4 + 9p3 + 6

    • D. 

      –15p4 + 9p3 + 6

  • 20. 
    Simplify the following expression (r2 + s2) – (5r2 + 4s2)  
    • A. 

      –4r2 +5s2

    • B. 

      –4r2 – 3s2

    • C. 

      –5r4 – 4s4

    • D. 

      –4r2 + 3s2

  • 21. 
    The measure of two side of a triangle is x2+ 2x. If the perimeter is 4x2+ x, what is the measure of the third side?
    • A. 

      3x2– x

    • B. 

      4x+ 2x

    • C. 

      3x2 + 3x

    • D. 

      3x2 + 2x

  • 22. 
    Simplify the expression: (5b - 3b3 - 8b2) - (2b3 - 4b2 + 6b - 3b4)  
    • A. 

      3b4 - 5b3 - 11b2 - b

    • B. 

      3b4 - 5b3 - 11b2 - 9b

    • C. 

      3b4 - 5b3 - 11b2 - 15b

    • D. 

      3b4 - 5b3 - 4b2 - b

  • 23. 
    Simplify the expression: (7k + 2k3 - 8k4) - (4k3 - 5k + 4k2 - 7k4)  
    • A. 

      -k4 - 2k3 - 4k2 + 12k

    • B. 

      -2k3 - 7k2 + 12k + 4k4

    • C. 

      -2k3 - 4k32 + 12k + 4k4

    • D. 

      -2k3 - 4k2 + 12k

  • 24. 
    Expand and Simplify: (5x + 2) (x– 3x + 6)
    • A. 

      5x– 17x+ 24x + 12

    • B. 

      5x+ 17x2 – 24x + 12

    • C. 

      5x3 – 13x2 + 24x + 12

    • D. 

      5x3 + 13x2 – 24x – 12

  • 25. 
     Is the polynomial expression in standard form? 7x3 – 8x2 + 9
    • A. 

      True

    • B. 

      False

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