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WorksheetsAlg 1 Chapter 6 Review
Total questions: 44
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
2.
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
3.
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
4.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
5.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
6.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
7.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
8.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
9.
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
10.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
11.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
12.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
13.
Given y=3x determine the y-intercept
a)
1
b)
3
c)
0
d)
y
14.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
15.
What is the asymptote of this function?
a)
y = 0
b)
y = 5
c)
y = 2
d)
y = 1
16.
Pick the equation that is exponential decay
a)
y = 2000(0.88)x
b)
y = 0.5(1.88)x
c)
y = 10(3/2)x
d)
y = 0.8(13)x
17.
Which function will show exponential behavior?
F(x) = (4.3)x
or
G(x) = 4.3x + 9
a)
F(x)
b)
G(x)
c)
both
d)
neither
18.
To solve 8 = 25x+7, you would need to re-write 8 as what base?
a)
8
b)
4
c)
2
d)
Cannot be determined
19.
Solve for x:
9x+8 = 81
9x+8 = 81
a)
2
b)
-6
c)
6
d)
8
20.
How many hours does a typical teen spend on social media a day?
a)
4 hours
b)
7 hours
c)
9 hours
d)
11 hours
21.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
22.
The growth factor for this table is
a)
2
b)
4
c)
12
d)
144
23.
The equation for this table is
a)
y = 1(2x)
b)
y = 1(12x)
c)
y = 12x
d)
y = 12x + 1
24.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
25.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
26.
Solve: 98-x = 27x-3
a)
x = 5
b)
x = -5
c)
x = 1/5
d)
x = -1/5
27.
Solve for p:
4p+2 = 64
4p+2 = 64
a)
p = -16/9
b)
p = 1
c)
p = 8
d)
p = 7/6
28.
Sovle for x:
5-3x - 1 = 25
5-3x - 1 = 25
a)
x = -1
b)
x = -4
c)
x = -3
d)
x = 1
29.
Solve: 2x = 4x+1
a)
x = -2
b)
x = 2
c)
x = -3
d)
x = 3
30.
To solve 8 = 25x+7, you would need to re-write 8 as what base?
a)
8
b)
4
c)
2
d)
Cannot be determined
31.
83x+3 = 86
a)
x=28
b)
x=3
c)
x=1
d)
x=12
32.
Solve for x:
52x = 5-x
52x = 5-x
a)
0
b)
-6
c)
8
d)
1
33.
Solve 33 = 34x + 2
a)
x = ¼
b)
x = -¼
c)
x = ½
d)
x = -½
34.
Solve for x:
(-3)x = (-3)13
(-3)x = (-3)13
a)
13
b)
-3
c)
x + 13
d)
x -13
35.
Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?
a)
$827.52 (Mr. Williams)
b)
$831.10 (Mrs. Hoch)
c)
$839.45 (Mr. Krajunus)
d)
$846.80 (Ms. Palombo)
36.
Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?
a)
$6,273.50 frustrated
b)
$6,314.08 bewildered
c)
$6,385.72 pleased
d)
$6,427.94 tickled pink
37.
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
a)
$33,299.42 playing dodgeball
b)
$33,672.68 climbing trees
c)
$34,157.04 riding unicycles
d)
$34,710.88 flipping pancakes
38.
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 LeBron James
b)
$15,683.28 Chase Utley
c)
$15,927.56 Serena Williams
d)
$16,349.72 Tom Brady
39.
The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually,how much interest will they have paid after 30 years?
a)
$412,749.79 Labor Day
b)
$429,305.61 the 4th of July
c)
$471,259.24 Groundhog Day
d)
$494,546.99 Valentine’s Day
40.
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much interest will she earn in 10 years?
a)
$915.59 Rome
b)
$933.28 Sydney
c)
$979.81 Dublin
d)
$1,005.09 Paris
41.
Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually,how much interest will Riley earn in 15 years?
a)
$1,584.62 the train station
b)
$1,651.39 the movie theater
c)
$1,706.86 the art museum
d)
$1,893.45 the bakery
42.
Town Bank offers a 2.25% interest rate, while Charter One offers 2.8%. Both banks compound interest annually. If Rob wants to set up a new account with $5,000,how much more money will he earn at Charter One over Town Bank after 25 years?
a)
$1,183.41 fairy wings
b)
$1,209.79 space suits
c)
$1,251.63 bubble wrap
d)
$1,324.10 hula skirts
43.
Twelve years ago, Claire put $1,800 in an account that pays an interest rate of 2.5% compounded semiannually.She now plans to take the money in that account and invest it in another account that earns 4% interest compounded monthly. How much money will be in this new account after 7 years?
a)
$3,207.40 eating ice cream
b)
$3,348.96 chewing gum
c)
$3,574.15 telling math jokes
d)
$3,733.62 tap dancing
44.
Shawn is buying a new Jet Ski for $12,500. He is considering two credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with 10% interest compounded annually. Which is the better option and how much will he save?
a)
B; $573.83 do something crazy
b)
B; $495.21 get on the news
c)
A; $573.83 get attention
d)
A; $495.21 raise money for charity
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