Expressions And Equations Unit Test

33 Questions | Total Attempts: 152

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Expressions And Equations Unit Test


Questions and Answers
  • 1. 
    Brett was given the problem: “Evaluate + 5 when x = 3.” Brett wrote that the answer was 41. Was Brett correct? Explain your answer.
  • 2. 
    The Excel Cable Company has a monthly fee of $32.00 and an additional charge of $8.00 for each premium channel. The  Best Cable Company has  a  monthly  fee  of $26.00  and  an  additional  charge  of 10.00 for each premium  channel. The Horton family is deciding which of these two cable companies to subscribe to.  a. Write an equation that represents the cost of each cable company’s monthly fee. Let c = cost  b. For what number of premium channels will the total monthly sub­scription fee for the Excel and Best Cable companies be the same?   c. The Horton family decides to subscribe to 2 premium channels for a period of one year.    (1)  Which cable company should they subscribe to in order to spend less money?     (2)  How much money will the Hortons save in one year by using the less expensive company?
  • 3. 
    Each student takes eight classes and has a separate notebook for each class.
    1. Determine the number of student notebooks in the school, given the number of students.
    Number of StudentsNumber of Notebooks225 300 410 520  
    1. Write an expression that represents the number of notebooks in the school, if the number of students is “x”.
       
    1. What would be the expression from part b if each student used their notebooks for 2 classes, instead of having a separate notebook for each class?
      
  • 4. 
    Identify the algebraic expression with a coefficient of 3 and a constant of -5.
    • A. 

      -5x+3

    • B. 

      5x-3

    • C. 

      3x+5

    • D. 

      3x-5

  • 5. 
    Translate the verbal phrases into algebraic expressions.  Three times the difference of eight and a number x.
    • A. 

      3(8 – x)

    • B. 

      X - 3▪8

    • C. 

      3▪8 – x

    • D. 

      3 – 8x

  • 6. 
    Twelve decreased by the quantity five times a number y.
    • A. 

      5y – 12

    • B. 

      12y – 5

    • C. 

      12 – 5y

    • D. 

      12 + 5y

  • 7. 
    Which expression represents “5 less than the product of 7 and x”? 
    • A. 

      7(x – 5)

    • B. 

      7x – 5

    • C. 

      7 + x – 5

    • D. 

      5 – 7x

  • 8. 
    Evaluate the expression.-8x when x = 3
    • A. 

      -83

    • B. 

      24

    • C. 

      -24

    • D. 

      83

  • 9. 
    4x2  - 2x when x = 3
    • A. 

      30

    • B. 

      138

    • C. 

      43

    • D. 

      18

  • 10. 
    5(x + 9) when x = 5
    • A. 

      14

    • B. 

      34

    • C. 

      70

    • D. 

      19

  • 11. 
     when x = 2
    • A. 

      4.5

    • B. 

      2.5

    • C. 

      4

    • D. 

      2

  • 12. 
    Identify the like term(s) for 8x.
    • A. 

      X

    • B. 

      X^2

    • C. 

      16x

    • D. 

      8

  • 13. 
    Use the distributive property to rewrite the expression without parentheses. 5(x – 3)
    • A. 

      5x-3

    • B. 

      X-15

    • C. 

      5x+15

    • D. 

      5x-15

  • 14. 
    (x + 2)4
    • A. 

      X+8

    • B. 

      4x+2

    • C. 

      4x+8

    • D. 

      4x-8

  • 15. 
    Collect like terms. 7x + 8x + x + 3
    • A. 

      19x

    • B. 

      15x + 4

    • C. 

      16x + 3

    • D. 

      15x + 3

  • 16. 
    6x2 + 3x + x2  + 7x – 5
    • A. 

      12x

    • B. 

      12x^2

    • C. 

      17x - 5

    • D. 

      7x^2 + 10x – 5

  • 17. 
    5(x – 3) + 8x
    • A. 

      13x – 3

    • B. 

      13x - 15

    • C. 

      10x

    • D. 

      10x - 3

  • 18. 
    Name the inverse operation used to solve this equation:    x + 12 = -27
    • A. 

      Multiplication

    • B. 

      Division

    • C. 

      Addition

    • D. 

      Subtraction

  • 19. 
    Name the inverse operation used to solve this equation:    -3m = -27
    • A. 

      Multiplication

    • B. 

      Division

    • C. 

      Addition

    • D. 

      Subtraction

  • 20. 
    Solve the equation:  1 – 10x = 81
    • A. 

      8

    • B. 

      -8

    • C. 

      9

    • D. 

      -9

  • 21. 
    1. Solve the equation:   p + 7 = -23
    • A. 

      6

    • B. 

      36

    • C. 

      18

    • D. 

      27

  • 22. 
    Solve the equation:   1.9k – 3 – 7.5k = 4 
    • A. 

      -0.8

    • B. 

      -1.25

    • C. 

      1.25

    • D. 

      0.8

  • 23. 
    Solve the equation:   –6(4d + 10) + 7d = -2d       
    • A. 

      3

    • B. 

      -3

    • C. 

      4

    • D. 

      -4

  • 24. 
    Solve the equation:   -5(3x – 4) = 2(9 – 6x)    
    • A. 

      (2/3)

    • B. 

      13.5

    • C. 

      -13.5

    • D. 

      -(2/3)

  • 25. 
    Mike drove 50 mph for 3.5 hours. How far did he drive?
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