# Algebra 2: Sect. 1.1 - 1.2 Test

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Quizzes Created: 17 | Total Attempts: 23,603
Questions: 15 | Attempts: 436

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

• 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

• B.

B

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C

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D

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.

• A.

A

• B.

B

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C

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D

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

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.

• A.

A

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B

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C

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D

C. C
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A

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B

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C

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D

B. B
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A

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B

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C

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D

C. C
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A

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B

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C

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D

B. B
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A

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B

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C

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D

A. A
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A

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B

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C

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D

D. D
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A

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B

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C

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D

D. D
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A

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B

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C

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D

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

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

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

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

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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• Current Version
• Aug 28, 2023
Quiz Edited by
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• Sep 26, 2009
Quiz Created by
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