Geometry Non-Calculator Skills Inventory
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This portion of the inventory should take
no more than 50 minutes
Start time:_______________
End time:_______________
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1. A rectangle has a length of (x - 3) and a width of (3x2 + 4x). What is its perimeter?
B. 3x3 + 4x2 - 3
C. 3x2 + 5x - 3
A. 3x3 - 5x2 - 12x
D. 3x3 - 12x
E. 6x2 + 10x - 6
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2. The graph of x − 4 y + 8 = 0 crosses the y-axis at y =
A. - 8
B. 2
C. 0
D. -2
E. 8
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3. Write the equation of the pictured line
A. y = x − 2
1
C. y = x − 2
2
1
E. y = − x − 2
2
B. y = 2 − x
D. y = 2 x − 2
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4. The graphs of the equations
x + 3y = 2
3 x + 9 y = 12
consist of
A. two lines intersecting where x = 1
2
B. two lines intersection where x =
3
C. two distinct parallel lines
D. only one line
E. two lines intersection where y = 1
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5. The slope of the line perpendicular to the line 3 x − 5 y + 8 = 0
A.
3
5
B.
5
3
C. −
3
5
5
E. 3
3
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D. −
6. The y-intercept of the line through the two points whose coordinates are (5, -2) and
(1, 3) is
5
5
B. −
C. 17
4
4
17
D.
E. 7
4
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A.
7. If R =
ST
, then S =
S −T
A.
RT
T −R
B.
RT
R −T
D.
R +T
RT
E.
R −T
RT
C.
RT
T +R
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8. Write the equation of the line passing through the points (5, 0) and (5, 6).
A. y = 6
D. y = 5x
B. y = 0
E. y = 5x + 6
C. x = 5
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9. Solve the equation:
A. 15
x x
+ =2
3 5
B.
15
4
C. 1
1
E. 30
8
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D.
x
x
−
.
16 25
10. If x = 100 , find the value of
A. 15
B. 5
C.
5
2
3
1
E.
2
2
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D.
11. Simplify
50x8 y12
A. 5 x 6 y10 2
B. 25 x 6 y10 2
D. 5 x 4 y 6 2
E. 5 xy 2
C. 25 x 4 y 6 2
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12.
125 + 27 − 12 is equal to
A. 5 5 + 3
B. 5 5 + 15
D. 8 8 − 2 3
E. 6 5
C. 5 5 − 3
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13. Simplify the expression:
10
(
2− 5
)
A. −3 7
B.
D. 7 7
E. - 10
30
C. 2 5 − 5 2
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14. Simplify the expression:
50
27
5 6
25 6
5 2
B.
C.
9
27
9
25 2
25 6
D.
E.
27
9
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A.
15. If the point −3,
1
lies on the graph of the equation 2x + ky = -11, find the value
2
of k.
5
2
D. -10
A. −
B. - 34
E. -5
C. −
17
2
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16. Solve the equation: 5x + 20 - 2x = 10 - (5x + 6)
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17. True or False. The line with the equation y - 8 = 6(x+ 2) goes through the point
(8, 2).
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18. Arrange the lines l, m, p and q in order of
increasing slope by writing the letters
associated with the lines.
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19. Solve the proportion:
x + 4 15 − x
=
7
12
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20. Find the area of the triangle formed by the lines with equations x = 0, y = 1, and
3x + 2y = 14.
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21. Expand:
( 2 x − 3)
2
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22. Factor: 12 x 2 − x − 1
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23. Simplify:
5x x 7 x
− +
8 2 4
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24. Find three consecutive integers whose sum is 480.
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25. The graph at the right shows the temperature
readings for four consecutive hours as read by the
school's weather center.
a. What was the approximate temperature
at 2:30 a.m.?
b. At what time was the temperature the
lowest?
c. Between what two hours did the temperature drop the least?
d. At what time was the temperature zero?