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Analytic Geometry
Test Description: EQAO Multiple Choice review questions for Analytic Geometry.
Instructions: Answer all questions to get your test result.
1) For the slope of a line, the change in x is greater than the change in y. Which of the following could represent the slope of this line?
A
1
B
4/3
C
2
D
2/5
2) Identify the equation that represents the line with a y-intercept of 600 and a slope of 50.
A
y = 50x
B
y = 600x + 50
C
x = 600y
D
y = 50x + 600
3) Which relation does NOT have an initial vale of 50?
A
y = 50 - x
B
y = 50 + 8x
C
y = 50x
D
y = 50
4) How would the graph of the relation y = 3x - 2 change if the 3 and -2 were both doubled? The graph would be:
A
steeper and have a lower y-intercept
B
less steep and have a lower y-intercept
C
less steep and have a higher y-intercept
D
steeper and have a higher y-intercept
5) Consider the relation y = -3x + 5. Which of the following statements about the graph of this relation is NOT true?
A
For a rise of 3, the run is -1.
B
The graph crosses the y-axis at (0, 5).
C
The y-intercept is 5.
D
The slope is 3.
6) What is the equation of the line that passes through the points (2, 4) and (4, 0)?
A
y = -2x + 8
B
y = -2x + 4
C
y = -1/2 x + 2
D
y = - 1/2 x + 5
7) Janelle draws a line that passes through the points (-1, 6) and (0, 3). If Janelle writes the equation of the line in y = mx + b form, what are the values of m and b?
A
m = -3 and b = 6
B
m = -3 and b = 3
C
m = -9 and b = 6
D
m = -9 and b = 3
8) Consider the equation y = mx + 5 . If (7, 3) is a point on the line represented by this equation, which of the following is true?
A
The rise is 7 when the run is 8.
B
The rise is -2 when the run is 7.
C
The rise is 7 when the run is -2.
D
The rise is 8 when the run is 7.
9) Rearrange 4y - x = 8 so that it is in the form y = mx + b.
A
y = 1/4 x + 2
B
y = -x + 2
C
y = -1/4 x + 2
D
y = x + 8
10) Which of the following statements is true for the line 5x - 2y - 12 = 0?
A
The slope is 5 and the y-intercept is -12.
B
The slope is 5/2 and the y-intercept is -6.
C
The slope is -5 and the y-intercept is 6.
D
The slope is 2/5 and the y-intercept is 12.
11) Mike is asked to graph the linear relation represented by 2x - 3y + 6 = 0. What is the y-intercept of this line?
A
2
B
-2
C
6
D
-6
12) Donna has correctly drawn a line on an xy-plane. Her line is parallel to the line y = - x + 1 and has the same y-intercept as the line y = -2x + 6. Which of the following equations represents the line that Donna has drawn?
A
y = x + 6
B
y = x + 3
C
y = -x + 3
D
y = -x + 6
13) A line has the following characteristics. It is perpendicular to the line y = 1/2 x + 3 and it passes through the point (4, 0). What are m, the slope, and b, the y-intercept, of the line?
A
m = 1/2; b = 3
B
m = -2; b = 0
C
m = 1/2; b = 0
D
m = -2; b = 8
14) Which of the following equations is NOT represented by a straight line on a graph?
A
x = 3y - 4
B
y = 2x^2 - 2
C
x = 4
D
y = -2x
15) How many of these equations represent straight lines? y = x - 2; y = 2 - 4x; y = x^2 + 8
A
two
B
none
C
three
D
one
16) A local hair charges a $15 entry fee and $1.75 per ride. Dustin has $35 to spend. What is the maximum number of rides Dustin can do on?
A
12
B
11
C
8
D
20
*select an answer for all questions
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