Download Mr. Rivera Summer Assignment - Geometry Pages 1-5

Mr. Rivera
Summer Assignment - Geometry
Short Answer
Write an algebraic expression for the phrase.
1. 4 times the sum of q and p
2. Evaluate the expression
Simplify the expression.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
for a = 4 and b = 3.
Pages 1-5
Solve the proportion.
18.
19.
20.
Find the length of the missing side. If necessary, round to the nearest tenth.
21.
c
5
14
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
22.
11 ft
x
8 ft
3 ft
Drawing not to scale
23.
25 cm
17 cm
x
18 cm
Drawing not to scale
24. Find the measure of
. (Hint: The sum of the measures of the angles in a triangle is
x°
68°
26°
25. Write the number 2.4 in the form
, using integers, to show that it is a rational number.
26. Order the numbers from least to greatest.
,
,
27.
28. Evaluate x(–y + z) for x = 3, y = 3, and z = 1.
Solve the equation.
29.
30.
31. Simplify
.
Write a compound inequality that the graph could represent.
32.
–5
–4
–3
–2
–1
0
1
2
3
4
Simplify the difference.
33. (–7x – 5x4 + 5) – (–7x4 – 5 – 9x)
Simplify the product.
34. 8x2(4x2 + 4y6)
Simplify the product using FOIL.
35. (3x – 7)(3x – 5)
Solve the equation by factoring.
36.
5
.)
Simplify the radical expression.
37.
38.
Simplify the radical expression by rationalizing the denominator.
39.
40.
Solve the equation. Check your solution.
41.
42.
43.
44. Based on the pattern, what are the next two terms of the sequence?
,...
45. Based on the pattern, make a conjecture about the sum of the first 20 positive even numbers.
2
=
2 =
2+4
=
6 =
2+4+6
= 12 =
2+4+6+8
= 20 =
2 + 4 + 6 + 8 + 10
= 30 =
46. Find AC.
A
B
C
D
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 7 8 9 10
47. If
find the values of x, EF, and FG. The drawing is not to scale.
E
F
G
48. If T is the midpoint of
S
find the values of x and ST. The diagram is not to scale.
T
9x
U
4x + 25
49. Which point is the midpoint of
A
B
C
?
D
–8 –7 –6 –5 –4 –3 –2 –1
0
1
E
2
3
4
5
6
7
8
50. Write an expression that gives the area of the shaded region in the figure below. You do not have to evaluate
the expression. The diagram is not to scale.
4 ft
14 ft
6 ft
15 ft