Algebra 2: Sect. 1.1 - 1.2 Test | Attempts: 449

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| By Gdyson

Gdyson

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Quizzes Created: 17 | Total Attempts: 24,682

Questions: 15 | Attempts: 449 | Updated: Aug 28, 2023

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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)
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  A
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  B
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  C
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  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
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  C
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  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
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  A
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  B
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  C
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  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
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  C
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  D
Correct Answer
C. C
5.

Question E
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  A
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  B
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  C
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  D
Correct Answer
B. B
6.

Question F
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  A
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  B
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Correct Answer
C. C
7.

Question G
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  A
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  B
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Correct Answer
B. B
8.

Question H
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  B
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Correct Answer
A. A
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Question J
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  B
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Correct Answer
D. D
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Question K
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Correct Answer
D. D
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Question L
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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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