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Prerequisite Skills 1
Simplify the expression.
1.
37
2.
2  5
3.
1  8
4.
10   7
5.
6  5
6.
2  12
7.
 7   4
8.
0  11
9.
 2  13
Find the area of the triangle.
10.
11.
12.
Write an equation for the nth term of the arithmetic sequence. Then find a 40 .
13. 2, 4, 6, 8,
14.  5, 1, 3, 7,
15. 4.1, 5.6, 7.1, 8.6,
16. 81, 72, 63, 54,
17. 6, 1, 8, 15,
18. 1 , 1 , 3 , 1,
4 2 4
Solve the literal equation for x.
19. 3 y  3x  1
20. 3 y  4 x  12
21. 2 y  6  5 x  8
22. 2 x  y  6
23.
y  zx  2 x  5
24. z  3x  2 xy
Find the slope of the line.
25.
2
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Skills
Test
Date __________
Prerequisite Skills 2
Find the slope of the line.
26.
27.
Write an equation of the line that passes through the given point and has the given slope.
28.
1, 4; m
 1
29.
1, 5; m
30.
2, 3; m
 3
31.
5, 3; m
32.
 2, 1; m
33.
 4,  4; m
 5
2
 undefined
 0
 1
2
Tell whether the grey figure is a translation, reflection, rotation, or dilation of the black figure.
34.
35.
36.
37.
Tell whether the two figures are similar. Explain your reasoning.
38.
39.
Solve the equation.
40. 7 x  3  4 x
41. 13  y  12 y
42. 4m  11  2m  21
43. 3w  5   5w  11
44.  x  1   3x  7
44. g  10  8g  10
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Geometry
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3
Name _________________________________________________________ Date _________
Skills
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Prerequisite Skills 3
Find the midpoint M of the segment with the given endpoints. Then find the distance between the
two endpoints.
46. A 4, 7 and B3, 1
47. A0, 5 and B  3,  6
Write an equation of the line passing through point P that is perpendicular to the given line.
48. P2, 4, y  1 x  6 49. P6, 0, y  4
2
50. P3, 4, y   2 x
3
Write the sentence as an inequality.
51. A number x is greater than 6 but less than 10.
52. A number y is at most 2 or at least 5.
53. A number b is less than or equal to  4 or greater than 0.
54. A number k is more than  7 and less than 1.
Solve the equation by interpreting the expression in parentheses as a
single quantity.
55. 2 x  5  12
56. 2  67  x  20
57. 3 x  2  7 x  2  30
58.  4  23  x   2 x  3
Determine which lines are parallel and which are perpendicular.
59.
60.
Simplify the expression.
61.
64.
4
48
5
3
Geometry
Assessment Book
62.
65.
216
8
2
63.
66.
108
10
5
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Name_________________________________________________________
Skils
Test
Date __________
Prerequisite Skills 4
Tell whether the ratios are equivalent.
67.
6, 9
14 21
68. 15 , 10
10 5
69. 16 , 24
50 75
Solve the proportion.
70.
4
2

k
9
71.
2
5

8
k 8
72.
3a  8
10

6
8
Find the product.
73.
 x  4 x  2
74.
m  2m  5
75.
 x  12  5x
76.
g
77.
 x  9 x  9
78.
1  3a5  2a
 54 g  1
Solve the equation by completing the square. Round your answer to the nearest hundredth, if
necessary.
y 2  8 y  64  3
79. m2  20m  64  0
80.
81. x2  4 x  88  10
82.  m2  2m  35
Find the surface area of the prism.
83.
84.
85.
Find the missing dimension.
86. A rectangle has a perimeter of 68 meters and a length of 20 meters. What is the width of the
rectangle?
87. A triangle has an area of 58 square centimeters and a base of 8 centimeters. What is the height of the
triangle?
88. A square has a perimeter of 24 feet. What is the length of the diagonal?
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Geometry
Assessment Book
5