Worksheets[Algebra 2] Unit 5A Review
Total questions: 26
Worksheet time: 6hrs 52mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
Is the sequence -4, -12, -36, -108,... geometric?
a)
yes
b)
no
4.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
5.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
d)
335, 607, 250
6.
Write the explicit formula for the geometric sequence.
a)
an = 2(100)n-1
b)
an = 100(2)n-1
c)
an = 100(1/2)n-1
d)
an = (1/2)(100)n-1
7.
What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...
2-6+18-54+...
a)
59048
b)
-29524
c)
524288
d)
3069
8.
Does this graph show an arithmetic or a geometric sequence?
a)
Arithmetic
b)
Geometric
c)
Neither
d)
Both
9.
Find the 13th term:
2, 6, 18, 54, ….
2, 6, 18, 54, ….
a)
1,000,000
b)
1,062,882
c)
123,587
d)
5 bazillion
10.
A ball is dropped from a certain height and reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. What is the height that the ball reaches after the fifth bounce?
a)
3.025 cm
b)
6.55 cm
c)
5.23 cm
d)
10.24 cm
11.
Carol has a colony of bees that produced 17 pounds of honey in the first year. As the colony grows, it produces 5.125% more honey each year. Determine the total amount of honey that is produced by the colony after the 6th year.
a)
116
b)
18
c)
74,673
d)
17
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
(2, -1)
b)
(-1, 2)
c)
(-2, 1)
d)
(1, -2)
14.
a)
(-3, 0)
b)
(0, 3)
c)
(3, 0)
d)
(0, -3)
15.
Solve for x and y
2x − 3y = −1
y = x − 1
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
16.
Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
17.
The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?
a)
S + A = 530
3S + 4A = 1740
3S + 4A = 1740
b)
S + A = 530
4S + 3A = 1740
4S + 3A = 1740
c)
S + A = 1740
3S + 4A = 530
3S + 4A = 530
d)
S + A = 1740
4S + 3A = 530
4S + 3A = 530
18.
Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?
a)
40 nickels, 40 dimes
b)
52 nickels, 28 dimes
c)
28 nickels, 52 dimes
d)
30 nickels, 50 dimes
19.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.
a)
35 nachos, 52 sodas
b)
18 nachos, 69 sodas
c)
52 nachos, 35 sodas
d)
61 nachos, 26 sodas
20.
Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104
x + y = 21
6x + 4y = 104
a)
(10, 11)
b)
(12, 9)
c)
(11, 10)
d)
(9, 12)
21.
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
x + y = 44
c)
x = 2y + 44
4x = y + 15
4x = y + 15
d)
2x - 4y = 44
x - y = 15
x - y = 15
22.
Write the inequalities represented in the picture.
a)
y > -2 + x
y ≤ 2x + 2
y ≤ 2x + 2
b)
y > 2 + x
y ≤ 2x + 2
y ≤ 2x + 2
c)
y ≥ -2 + x
y ≤ 2x + 2
y ≤ 2x + 2
d)
none of these are the system
23.
Write the inequalities represented in the picture.
a)
y > -4/5x - 1 and y ≤ 2/3x + 3
b)
y ≥ -4/5x - 1 and y ≤ 2/3x + 3
c)
y < -4/5x - 1 and y < 2/3x + 3
d)
y < -4/5x - 1 and y ≥ 2/3x + 3
24.
Which solution of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
25.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
26.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
100 %
