Grade 9 Mastery Slope Questions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. State the slope of the staircase shown.
a. / / b. / / c. / / d. /____ 2. State the slope of the staircase shown.
a. / / b. / 2 / c. / / d. / 3____ 3. State the slope of the staircase shown.
a. / / b. / / c. / / d. /____ 4. State the slope of the line shown.
a. / / b. / / c. / / d. /____ 5. Choose the best estimate of the slope of the line shown.
a. / -3 / b. / -0.33 / c. / 3 / d. / 0.33____ 6. Choose the best estimate of the slope of the line shown.
a. / 3.33 / b. / -3.33 / c. / -0.3 / d. / 0.3____ 7. The slope of the line segment through A(-2,3) and B(1,2) is
a. / / b. / 3 / c. / -3 / d. /____ 8. The slope of the line segment through A(-2,3) and B(-1,-2) is
a. / / b. / -5 / c. / / d. /____ 9. The slope of the line segment through A(-2,3) and B(1,-2) is
a. / -5 / b. / / c. / / d. /____ 10. The coordinates of points E and G in the graph shown are
a. / (0,-3) and (4,-6) / b. / (-3,0) and (4,-6) / c. / (-3,0) and (-6,4) / d. / (0,-3) and (-6,4)
____ 11. The coordinates of points F and H in the graph shown are
a. / (0,-3) and (-4,6) / b. / (-3,0) and (-4,6) / c. / (0,-3) and (6,-4) / d. / (-3,0) and (6,-4)____ 12. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes -1 and undefined are:
a. / c and a / b. / e and f / c. / c and f / d. / e and a____ 13. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes and undefined are:
a. / d and c / b. / g and e / c. / d and e / d. / a and c____ 14. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes -2 and 0 are:
a. / g and e / b. / g and c / c. / a and e / d. / b and c____ 15. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes - and 0 are:
a. / d and e / b. / d and c / c. / a and c / d. / f and e____ 16. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes -2 and undefined are:
a. / g and e / b. / g and c / c. / b and c / d. / b and e____ 17. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes -1 and -2 are:
a. / h and d / b. / f and g / c. / f and a / d. / h and b____ 18. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes 1 and 0 are:
a. / h and e / b. / g and e / c. / g and c / d. / h and c____ 19. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes and -1 are:
a. / a and h / b. / d and f / c. / b and f / d. / g and h____ 20. Line segments with slopes 2, 1, , 0, -, -1, -2, and undefined are shown. The line segments with slopes - and undefined are:
a. / a and e / b. / d and e / c. / a and c / d. / d and c
Grade 9 Mastery Slope Questions
Answer Section
MULTIPLE CHOICE
1. ANS: B
Slope / ==
PTS: 1
2. ANS: C
Slope / ==
PTS: 1
3. ANS: B
Slope / ==
PTS: 1
4. ANS: A
Slope / ==
=
PTS: 1
5. ANS: C
The easiest way to do the question is to note that as you move 1 unit to the right along the line, the points move up by more than 1 (more like 3), so the only possible correct answer is b) 3. a) and d) can be ruled out immediately because the slope is not negative, and 0.33 is much too small.
If you feel the need to calculate something...
The line is reasonably close to (2,15) and (7,30). Note: the choices offered to us are so different, that we don’t have to be precise with this estimate. Also, we picked two points that were both slightly above the line. This is more likely to give a better estimate than picking one above and one below.
Estimate of Slope / ==
=
= 3
Depending on the reasonableness of the two points you pick, the answers you get may vary from 2.0 to 5.0, but the best option for the slope would be 3.
PTS: 1
6. ANS: B
The easiest way to do the question is to note that as you move 1 unit to the right along the line, the points move down by more than 1 (more like 3), so the only possible correct answer is c) -3.33. a) and b) can be ruled out immediately because the slope is negative, and -0.3 is much too small.
If you feel the need to calculate something...
The line is reasonably close to (0,37) and (8,10). Note: the choices offered to us are so different, that we don’t have to be precise with this estimate.
Estimate of Slope / ==
=
=
Depending on the reasonableness of the two points you pick, the answers you get may vary from -2.0 to -5.0, but the best option for the slope would be -3.33
PTS: 1
7. ANS: A
Slope / ==
=
=
PTS: 1
8. ANS: B
Slope / ==
=
= -5
PTS: 1
9. ANS: C
Slope / ==
=
=
PTS: 1
10. ANS: B
E is located at -3 on the x-axis and 0 on the y-axis and G is at 4 on the x-axis and -6 on the y-axis.
PTS: 1
11. ANS: C
F is located at 0 on the x-axis and -3 on the y-axis and H is at 6 on the x-axis and -4 on the y-axis.
PTS: 1
12. ANS: B
For a slope of -1, the only line segments with negative slope are a, f, and g (go down to the right), and of these 'f' has the slope in between the other two. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1
13. ANS: C
For a slope of , the only line segments with positive slope are b, d, and h (go up to the right), and of these d has the smallest slope. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1
14. ANS: B
For a slope of -2, the only line segments with negative slope are a, f, and g (go down to the right), and of these 'g' has the steepest slope. For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0), so the only choice is c. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1
15. ANS: C
For a slope of -, the only line segments with negative slope are a, f, and g (go down to the right), and of these 'a' is least steep. For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0), so the only choice is 'c'. Another way to think about this one is that we know its either c or e, but 'c' has slope 0 - think flat ski hill...
PTS: 1
16. ANS: A
For a slope of -2, the only line segments with negative slope are a, f, and g (go down to the right), and of these 'g' is steepest. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1
17. ANS: B
For slopes of -1and -2, the only line segments with negative slope are a,f, and g (go down to the right), and of these f has the 'middle' slope and g is the steepest.
PTS: 1
18. ANS: D
For a slope of 1, the only line segments with positive slope are b, d, and h (go up to the right), and of these h has the ‘middle’ slope.For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0), so the only choice is c. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1
19. ANS: B
For a slope of , the only line segments with positive slope are b, d, and h (go up to the right), and of these d is least steep. For a slope of -1, the only line segments with negative slope are a, f, and g (go down to the right), and of these f has the middle slope.
PTS: 1
20. ANS: A
For a slope of -, the only line segments with negative slope are a, f, and g (go down to the right), and of these 'a' is least steep. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1