Name: _____________________________________
Math A Homework Quiz 50
M#D
1. (2 points) [Jan 2001, #33]
John uses the equation x 2 + y 2 = 9 to represent the shape of a garden on graph paper.
a Graph x 2 + y 2 = 9 on the accompanying grid.
b What is the area of the garden to the nearest square unit?
2. (1 point) [Jun 2000, #8]
Which equation represents a circle whose center is (3,!2)?
(1) (x + 3) 2 + (y ! 2) 2 = 4
(2) (x ! 3) 2 + (y + 2) 2 = 4
(3) (x + 2) 2 + (y ! 3) 2 = 4
(4) (x ! 2) 2 + (y + 3) 2 = 4
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Created by J. Shahom (May 2005)
3. (3 points)
Graph the equation y = ! x 2 + 2x + 5
and write the equation of the axis of
symmetry.
4. (3 points) [Aug 1999, #33]
An arch is built so that it is 6 feet wide at the base. Its shape can be represented by
a parabola with the equation y = !2x 2 + 12x, where y is the height of the arch.
a Graph the parabola from x = 0 to x = 6 on the grid below.
b Determine the maximum height, y, of the arch.
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Created by J. Shahom (May 2005)
What is the equation of the line that
passes through the point (5,!2) and
5. has a slope of ! 3?
(1) y = !3x !13
(3) y = 3x !13
(2) y = !3x + 13
(4) y = 3x + 13
If x = !2 and y > 0, in which quadrant
of the coordinate plane is point P(x, y)
8. located?
(1) I
(3) III
(2) II
5.
(4) IV
6.
The graph of the equation 2y = 3x + 6 is
parallel to the graph of the line
6. represented by the equation
(1) y = ! 23 x ! 2
(3) y = 3x ! 2
(2) y = 23 x ! 2
(4) y = !3x ! 2
What is the slope of the line determined
by the points (5,2) and (0,!1)?
!3
9. (1) !5
(3)
3
5
5
3
(2)
(4)
3
5
7.
8.
7.
Find the axis of symmetry for the
equation y = !3x !18x ! 6.
2
If (0,0) is the midpoint of AB, and the
10. coordinates of B are ( ! 3, 6), what are
the coordinates of A?
9.
10.
11. (3 points)
The senior class at Northwest High School needed to raise money for the yearbook. A local sporting goods
store donated hats and T - shirts. The number of T - shirts was three times the number of hats. The seniors
charged $5 for each hat and $8 for each T - shirt. If the seniors sold everything and raised $435, what was
the total number of hats and the total number of T - shirts that were sold?
12. (2 points) Simplify :
11.
2w 2 ! 4w
2w
÷ 2
2
w !4
w + 5w + 6
12.
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Created by J. Shahom (May 2005)
13. (2 points)
Graph the equation
(x + 1)2 + (y ! 3)2 = 25
14. (2 points)
Write the equation of a line that is
perpendicular to the line shown in the
accompanying graph and passes
through the origin, (0,0).
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Created by J. Shahom (May 2005)