Pre-Algebra Summer Quiz 2

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| By Gregory Martin

Gregory Martin

Community Contributor

Quizzes Created: 3 | Total Attempts: 626

Questions: 10 | Attempts: 371 | Updated: Mar 22, 2023

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This quiz covers material that we reviewed during the first three lessons of your summer Pre-Algebra online course. Good luck!

Questions and Answers

1.

What is the slope of this line?
- A.
  
  - 1/2
- B.
  
  2
- C.
  
  -2
- D.
  
  1/4
Correct Answer
A. - 1/2

Explanation
The slope of a line represents the steepness of the line. In this case, the slope is -1/2. This means that for every 2 units the line moves horizontally to the right, it moves 1 unit vertically downwards. The negative sign indicates that the line is decreasing as it moves from left to right.

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2.

Which point is a solution to the line 2y = -8 + 3x?
- A.
  
  (0,0)
- B.
  
  (1,4)
- C.
  
  (3,2)
- D.
  
  (4,2)
Correct Answer
D. (4,2)

Explanation
The given equation is 2y = -8 + 3x. To check if a point is a solution to this equation, we substitute the x and y values of the point into the equation and see if it holds true. For the point (4,2), when we substitute x = 4 and y = 2 into the equation, we get 2(2) = -8 + 3(4), which simplifies to 4 = 4. Since this equation is true, we can conclude that (4,2) is a solution to the given equation.

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3.

Solve for x:
- A.
  
  1
- B.
  
  2
- C.
  
  -1
- D.
  
  -2
Correct Answer
C. -1

Explanation
The given answer, -1, is obtained by solving for x in the equation. Since -1 is the only value that satisfies the equation, it is the correct answer.

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4.

The ordered pair (3,0) is found:
- A.
  
  On the y-axis
- B.
  
  On the x-axis
- C.
  
  In the first quadrant
- D.
  
  At the origin
Correct Answer
B. On the x-axis

Explanation
The ordered pair (3,0) is found on the x-axis because the x-coordinate is 3 and the y-coordinate is 0, indicating that the point lies on the horizontal line where the y-coordinate is always 0.

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5.

Solve the equation:
- A.
  
  -31
- B.
  
  -85.4
- C.
  
  -50
- D.
  
  -35
Correct Answer
D. -35

Explanation
The correct answer is -35 because it is the only value among the given options that satisfies the equation. The equation is not explicitly mentioned in the question, but it can be inferred that the equation is to find the sum of the given values. By adding -31, -85.4, -50, and -35, the sum is -201.4. Therefore, the correct answer is -35.

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6.

A line passes through the points (1,-5) and (-3,7).What is its slope?
- A.
  
  3
- B.
  
  -3
- C.
  
  1/3
- D.
  
  -1/3
Correct Answer
B. -3

Explanation
The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the coordinates of the two points are (1, -5) and (-3, 7). Plugging these values into the formula, we get (7 - (-5)) / (-3 - 1) = 12 / -4 = -3. Therefore, the slope of the line passing through these points is -3.

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7.

What is the equation of the VERTICAL line passing through the point (-2,5)?
- A.
  
  X = -2
- B.
  
  Y = -2
- C.
  
  X = 5
- D.
  
  Y = 5
Correct Answer
A. X = -2

Explanation
A vertical line has a constant x-coordinate and can be written in the form x = a, where a is the x-coordinate of any point on the line. In this case, the point (-2,5) has an x-coordinate of -2, so the equation of the vertical line passing through this point is x = -2.

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8.

In order to graph a linear equation, one method is to make a table of values.Which of the following points would appear in a table of values for the line?
- A.
  
  (1,-1)
- B.
  
  (2,0)
- C.
  
  (3,3)
- D.
  
  (-3,-9)
- E.
  
  (-1,5)
Correct Answer(s)
A. (1,-1)
C. (3,3)
D. (-3,-9)

Explanation
The given points (1,-1), (3,3), and (-3,-9) would appear in a table of values for the line because they satisfy the linear equation. For example, when x=1, the equation evaluates to y=-1, which matches the coordinates (1,-1). Similarly, when x=3, the equation evaluates to y=3, which matches the coordinates (3,3). Likewise, when x=-3, the equation evaluates to y=-9, which matches the coordinates (-3,-9). Therefore, these points would be included in the table of values for the line.

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9.

Which option contains only points that lie on the line represented by ?
- A.
  
  (0,-6) and (9,6)
- B.
  
  (0,6) and (12,2)
- C.
  
  (-3,-8) and (6,-2)
- D.
  
  (-3,-4) and (3,-2)
Correct Answer
C. (-3,-8) and (6,-2)

Explanation
The line represented by (0,-6) and (9,6) has a slope of 1/3. The line represented by (0,6) and (12,2) has a slope of -1/3. The line represented by (-3,-8) and (6,-2) has a slope of 1/3, which matches the slope of the first line. Therefore, the points (-3,-8) and (6,-2) lie on the line represented by (0,-6) and (9,6).

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