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WorksheetsFOM 1A Unit 3 Common Assessment Review
Total questions: 35
Worksheet time: 1hrs 28mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
3.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
4.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
5.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
6.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
7.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
8.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
9.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
10.
The pattern followed by the sequence 3,6,9,12 is...
a)
Multiple of 3
b)
prime no.s
c)
odd no.s
d)
multiple of 6
11.
The next term of the series 4,16,64 is
a)
256
b)
132
c)
120
d)
150
12.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
13.
Is the sequence geometric or arithmetic?
6, 18, 54...
6, 18, 54...
a)
Arithmetic
b)
Geometric
c)
Neither
14.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
15.
Find the common ratio for the geometric sequence.
a)
1
b)
-1
c)
7
d)
-7
16.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
17.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
18.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
19.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
20.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
21.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
22.
Is this exponential growth or decay?
a)
Growth
b)
Decay
23.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
24.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
25.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
26.
Bruno was given $2000 when he turned 3 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawls were made. Which expression can be used to determine how much money Bruno had in the account when he turned 16?
a)
2000(1+0.02)13
b)
2000(1-0.02)13
c)
2000(1+0.02)16
d)
2000(1-0.02)16
27.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?
a)
$1,584.62
b)
$2,651.39
c)
$2,706.86
d)
$1,825.10
28.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
29.
Find the exponential model of the function.
a)
y = 100(8.8)x
b)
y = 100(1.88)x
c)
y = 100(.88)x
d)
y = 100(.12)x
30.
Predict the year when Sugar Land’s population will reach 75,000.
a)
2015
b)
1991
c)
1992
d)
2010
31.
After 9 days, approximately how many grams of this substance will exist?
a)
about 64244
b)
about 173602
c)
about 23774
d)
about 469111
32.
Greenville is having a blizzard. It has already snowed 1 inch and the total will double each hour. Write an equation for the total inch of snow in x hour.
a)
y=1(2)x
b)
y=1(1/2)x
c)
y=2(1/2)x
d)
y=2(2)x
33.
What is the equation of this table?
a)
y=512(1/4)x
b)
y=32(4)x
c)
y=32(1/4)x
d)
y=512(4)x
34.
Which of the equations below represent this table?
a)
y=3⋅(36)x
b)
y=36⋅(3)x
c)
y=3⋅(⅓)x
d)
y=36⋅(⅓)x
35.
Write the equation that represents the table below:
a)
y=½(4)x
b)
y=2(4)x
c)
y=4(2)x
d)
y=4(½)x
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