Algebra 2: Sect. 1.1 - 1.2 Test

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Quizzes Created: 17 | Total Attempts: 19,200
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Algebra 2: Sect. 1.1 - 1.2 Test - Quiz

Test includes linear functions as tables, equations, and graphs. Also slope and intercept by graphing and formula.


Questions and Answers
  • 1. 

                                               Question A Which of these points does not lie on the graph of y = -3x - 4? A)  (0 , -4) B)  (1 , -1) C)  (-1 , -1) D)  (-2 , 2) 

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    B. B
    Explanation
    The point (1, -1) does not lie on the graph of y = -3x - 4 because when we substitute x = 1 into the equation, we get y = -3(1) - 4 = -3 - 4 = -7, not -1.

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  • 2. 

                                                              Question B

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    B. B
  • 3. 

                                         Question C A family membership at a swimming pool costs a flat fee of $100, plus $50 per person.  If the letter n stands for the  number of people, and C is the total cost, then the equation that best describes this situation is:   A) C = 50n + 100  B) C = 100n + 50 C) C = 100 + 50 + n D) C = 150n

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    A. A
    Explanation
    The equation that best describes the situation is C = 50n + 100. This is because there is a flat fee of $100, which is added to the cost of $50 per person (n). Therefore, the total cost (C) is calculated by multiplying the number of people (n) by $50 and adding the flat fee of $100.

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  • 4. 

                                                 Question D

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    C. C
  • 5. 

                                                   Question E

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    B. B
  • 6. 

                                                         Question F

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    C. C
  • 7. 

                                                           Question G

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    B. B
  • 8. 

                                          Question H

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    A. A
  • 9. 

                                            Question J

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    D. D
  • 10. 

                                             Question K

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    D. D
  • 11. 

                                                    Question L

    • A.

      A

    • B.

      B

    • C.

      C

    • D.

      D

    Correct Answer
    D. D
  • 12. 

                                                   Question M Using the equation y = -4x - 2,  what will be the y-coordinate of a point whose x coordinate is  5?  

    • A.

      -11

    • B.

      18

    • C.

      -22

    • D.

      12

    Correct Answer
    C. -22
    Explanation
    The equation y = -4x - 2 represents a linear function in slope-intercept form, where the coefficient of x is the slope and the constant term is the y-intercept. In this case, the slope is -4 and the y-intercept is -2. To find the y-coordinate of a point with x = 5, we substitute x = 5 into the equation: y = -4(5) - 2 = -20 - 2 = -22. Therefore, the y-coordinate of the point is -22.

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  • 13. 

                                             Question N                Using the graph below, determine the slope of this line:  

    • A.

      -3/6

    • B.

      3/5

    • C.

      -2/6

    • D.

      2/5

    Correct Answer
    D. 2/5
    Explanation
    The slope of a line is determined by the ratio of the change in the y-coordinates to the change in the x-coordinates between any two points on the line. In this case, the line passes through the points (0, -3) and (5, 3). The change in the y-coordinates is 3 - (-3) = 6, and the change in the x-coordinates is 5 - 0 = 5. Therefore, the slope of the line is 6/5, which is equivalent to 2/5.

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  • 14. 

                                               Question O What is the equation of the line below in y = mx + b form?

    • A.

      Y = -2x

    • B.

      Y= -1/2 x + 1

    • C.

      Y = -1/2 x + 2

    • D.

      Y = 1/2 x + 1

    Correct Answer
    B. Y= -1/2 x + 1
    Explanation
    The equation of the line in y = mx + b form is y = -1/2x + 1 because it follows the standard form of a linear equation. The coefficient of x, -1/2, represents the slope of the line, which indicates that the line is decreasing as x increases. The constant term, 1, represents the y-intercept, which is the point where the line crosses the y-axis. Therefore, the equation y = -1/2x + 1 accurately represents the given line.

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  • 15. 

                                                            Question P Change the equation  -3x + 5y = 10 into slope-intercept form.

    • A.

      5y = 3x + 10

    • B.

      Y = 3x + 10

    • C.

      Y = 3/5 x + 2

    • D.

      Y = 5/3 x + 10/3

    Correct Answer
    C. Y = 3/5 x + 2
    Explanation
    The equation -3x + 5y = 10 is converted into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By rearranging the equation, we can isolate y on one side. The correct answer, y = 3/5 x + 2, shows that the slope is 3/5, indicating that for every increase of 1 in x, y increases by 3/5. The y-intercept is 2, meaning that the line crosses the y-axis at the point (0, 2). Thus, the equation is in slope-intercept form.

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