The Ultimate Algebra EOC Practice Test For High School Students

35 Questions | Total Attempts: 9209

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The Ultimate Algebra EOC Practice Test For High School Students

This is an algebra end-of-course practice test for high school students who are looking for some exercise before their final exam. It has got more than thirty basic to tough questions of the same. So, take it and test out your algebraic skills.


Questions and Answers
  • 1. 
    Daniel made a box-and-whisker plot of the ages of his cousins. What is the median age of his cousins?
    • A. 

      24

    • B. 

      25

    • C. 

      27

    • D. 

      28

  • 2. 
    If the first Now = -9, which equation represents this sequence? -9, -4, 1, 6, 11, ...
    • A. 

      Next = Now − 5

    • B. 

      Next = Now + 5

    • C. 

      Next = 5 ∙ Now − 1

    • D. 

      Next = 5 ∙ Now + 1

  • 3. 
    • A. 

      8 < √ 78 < 9

    • B. 

      38 < √78 < 40

    • C. 

      77 < √78 < 79

    • D. 

      6,083 < √78 < 6,085

  • 4. 
    Given y=x2, how would the graph of y=x2 --2 differ?
    • A. 

      It shifts 2 units up.

    • B. 

      It shifts 2 units down.

    • C. 

      It shifts 2 units left.

    • D. 

      It shifts 2 units right.

  • 5. 
    Given the following fractions: Which group below has the fractions in order from  least to  greatest?
    • A. 

      3/5, 24/39, 18/29, 12/18, 3/4

    • B. 

      3/4, 3/5, 18/29, 24/39, 12/18

    • C. 

      3/5, 12/18, 24/39, 3/4, 18/29

    • D. 

      3/4, 3/5, 12/18, 18/29, 24/39

  • 6. 
    The automobile repair shop uses the following chart to determine labor costs for each job. Which function should the automobile repair shop use to determine the labor cost C, for a job that takes h hours?
    • A. 

      C = 15h

    • B. 

      C = 15h + 10

    • C. 

      C = 25 + 15h

    • D. 

      C = 25h + 15h

  • 7. 
    A survey was administered to 500 high school students to determinethe type of music they prefer. The survey indicated that 22%prefer rock, 26% prefer hip hop, 29% prefer pop, and 23% selected“other.” Which representation best illustrates the number of students preferring each type of music?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 8. 
    What is the value of the numerical expression below?
    • A. 

      4

    • B. 

      6

    • C. 

      8

    • D. 

      10

  • 9. 
    Aaron listed the ages of all of his family members as shown below. 10, 10, 10, 10, 10, 12, 14, 14, 15, 16, 50, 50, 51, 53, 80 What is the mean age of his family members?
    • A. 

      10

    • B. 

      14

    • C. 

      27

    • D. 

      70

  • 10. 
    What is the product of the following expression? A. 2x3 + x - 5 B. 2x3 + 2x - 10 C. 2x3 +2x2 - 5x D. 2x3 +2x2 - 10x
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 11. 
    • A. 

      2 units up

    • B. 

      3 units up

    • C. 

      2 units to the left

    • D. 

      3 units to the right

  • 12. 
    A survey was taken asking participants their age and the number of minutes they exercise per week. The results of the survey are shown in thescatterplot below. The data for people who are 30 to 39 years of age are not displayed. Based on the scatterplot, how many minutes would a 30- to 39-year-old person beexpected to exercise?
    • A. 

      40-60 minutes

    • B. 

      60-80 minutes

    • C. 

      80-100 minutes

    • D. 

      100-120 minutes

  • 13. 
    Ben bought 8 notebooks for $24.50. Some of the notebooks were $2.50 each, and the others were $3.25 each. If X represents the number of least expensive notebooks, which equation can be used to find the number of least expensive notebooks purchased?
    • A. 

      $5.75(8 − x) = $24.50

    • B. 

      $2.50(x − 8) + $3.25x = $24.50

    • C. 

      $2.50x + $3.25(8 − x) = $24.50

    • D. 

      $2.50x + $3.25(x − 8) = $24.50

  • 14. 
    The number 18 is 24% of which number?
    • A. 

      4.32

    • B. 

      75

    • C. 

      133 1/3

    • D. 

      432

  • 15. 
    The graph of y = 2x - 4 is shown below. If the slope of the line is doubles, the new equation is y = 4x -4. Which of these is a correct comparison?
    • A. 

      The x -intercept and y -intercept change.

    • B. 

      The x -intercept and y -intercept stay the same.

    • C. 

      The x -intercept changes, and the y -intercept is the same.

    • D. 

      The x -intercept is the same, and the y -intercept changes.

  • 16. 
    The following line graph shows the test scores for 10 students on a unit exam. Which shape most accurately describes these data?
    • A. 

      The data are skewed to the left.

    • B. 

      The data are skewed to the right.

    • C. 

      A bimodal or “U”-shaped curve

    • D. 

      A normal or “bell”-shaped curve

  • 17. 
    Mary would like to plant grass in her backyard. Her backyard is a rectangle that measures 10 yd by 8 yd. In the middle of her backyard is a circular swimming pool that has a diameter of 5 yd. What is the area to be planted with grass, to the nearest tenth of a square yard? A. 1.5 yd2 B. 19.6 yd2 C. 60.4 yd2 D. 80 yd2
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 18. 
    Which expression represents the output of the  nth term?
    • A. 

      N + 2

    • B. 

      N + 11

    • C. 

      2 n + 1

    • D. 

      2n − 1

  • 19. 
    What is the solution to the equation?
    • A. 

      -27

    • B. 

      -24

    • C. 

      -12

    • D. 

      -9

  • 20. 
    What is the mode of the data set displayed below?
    • A. 

      14

    • B. 

      48

    • C. 

      4 and 8

    • D. 

      14 and 48

  • 21. 
    Which number line below shows the set of numbers graphed correctly?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 22. 
    What is true about the slope and y-intercept of the two equations below? 4x + 3y = 12 -8x + 6y = 6  
    • A. 

      Same slope, same y -intercept

    • B. 

      Same slope, different y -intercept

    • C. 

      Different slope, same y -intercept

    • D. 

      Different slope, different y -intercept

  • 23. 
    The diagram shows the outcomes of flipping a coin and rolling a die. Which statement regarding the diagram is false ?
    • A. 

      The probability of obtaining “H6” is 2 out of 12

    • B. 

      There are 12 possible outcomes in the sample space.

    • C. 

      The chance of fl ipping “heads” and rolling a “5” is 1 in 12.

    • D. 

      Flipping “tails” and rolling a “2” represents about 8% of the possible outcomesof the sample space.

  • 24. 
    The population of a type of bacteria triples every minute. The chart below represents the population of bacteria after t minutes. Which type of function represents the data?  
    • A. 

      Linear

    • B. 

      Quadratic

    • C. 

      Exponential

    • D. 

      Absolute value

  • 25. 
    What are the slope,  m, and the y-interceptb, of a line that passes through the points (−3, 1) and (7, −5)?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D