Precalculus AB
Name___________________________________ ID: 1
©M t2p0]1l5T LKVuxtCaw GSTo[fJtVweaHr[eC DLJLZCk.J x NAolClo Mrnizgeh[t^so XrveesmehrtvRetdY.
Summer Assignment
Date________________ Period____
Find a positive and a negative coterminal angle for each given angle.
1) -
5p
9
19p
45
2)
Find the reference angle.
3)
4)
y
y
-320°
x
x
19p
12
Find the area of each triangle to the nearest tenth.
5)
D
9 cm
16°
12 cm
6)
F
B
4 km
64°
A
E
11.1 km
C
Determine if the sequence is arithmetic. If it is, find the term named in the problem, the explicit
formula, and the recursive formula.
7) 32, -168, -368, -568, ...
Find a40
8) -21, -26, -31, -36, ...
Find a33
Evaluate each arithmetic series described.
35
S(
)
1 5
9)
+ n
3
n=1 3
45
10)
S (9k - 18)
k=1
Expand completely.
11) ( y - 2 x) 5
Worksheet by Kuta Software LLC
-1-
©f H2n0M1[5y IKeuztIai mSso]fxtnwGanrOea PLWL_Co.Y D qAblAlR qrwicgfhxt_s[ PrQeKsleCrxvpeJdA.x t cMmaadheI qwhiutzhM rIZn\fJilnRi]tteK qAjligzeBbzrRaQ f2y.
Classify each conic section, write its equation in standard form, and sketch its graph.
12) x 2 + y 2 + 2 x + 6 y + 2 = 0
13) - x 2 - 6 x + y - 8 = 0
y
-8
-6
-4
y
8
8
6
6
4
4
2
2
-2
2
4
6
8 x
-8
-6
-4
-2
2
-2
-2
-4
-4
-6
-6
-8
-8
4
6
8 x
State the number of complex zeros, the possible number of real and imaginary zeros, and the
possible rational zeros for each function. Then find all zeros.
14) f ( x) = x 3 + 5 x 2 - 13 x + 7
15) f ( x) = x 3 + 27
Determine if the sequence is geometric. If it is, find the common ratio, the term named in the
problem, the explicit formula, and the recursive formula.
16) -1, 3, -9, 27, ...
Find a11
17) 4, -12, 36, -108, ...
Find a11
Evaluate each geometric series described.
8
18)
8
S -3 × 2
k-1
19)
k=1
S 0.2 × (-5)
n-1
n=1
Solve each triangle. Round your answers to the nearest tenth.
20)
21)
A
C
104°
22.8 ft
20.6 ft
C
26.5 ft
B
27 cm
30 cm
A
B
Find the exact value of each trigonometric function.
22) sec 405°
23) sin -360°
Solve each equation. Round your answers to the nearest ten-thousandth.
24) 1.7 × 6 -1.7v - 6 = 8
Simplify.
25)
2n
4 n3 - 4
Worksheet by Kuta Software LLC
-2-
©k z2K0k1b5u PKpujt_at iS\oOfLtvw`acr]ef PLWLDCq.s M lA_lOlM SrniTgGhltysb sr\eTsRear_v]eLd].f P uMwaXdVeZ pwYiDtKhw jINnOf`itnpiPtxeh IAqlkgfeRbsrwaI W2U.
0
