Name: __________________________________________
Int Math 1 Review Handout (Sec.5-1 thru 5-8)
1
What is the graph of the function?
1
x
⋅2
5
y =
2
A
C
B
D
What is the simplified form of each expression?
−2
8g d
A
6
8d
g
B
6
8gd
2
8g d
C
2
−12
D
1
d
6
8g
2
−6
Name: ______________________
3
Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially
contains 40 pounds of algae, how much algae will be in the pond after 12 hours?
A
B
4
ID: A
320 pounds
640 pounds
160 pounds
64 pounds
C
D
Find the balance in the account.
$1,400 principal earning 7%, compounded monthly, after 22 years
A
B
5
$6,501.27
$395,472.00
C
D
A population of 1,750 cheetahs decreases by 11% per year. How many cheetahs will there
be in the population after 10 years? Round your answer to the nearest whole number.
A
B
6
$1,591.11
$6,202.56
546
1640
486
4969
C
D
Short Answer: Put all work and answer(s) in box below.
The half-life of a certain medication is 5 hours. This means that 5 hours is the amount of
time it takes for half of the amount of the medication in the body to be eliminated. Patients
take a single 800-milligram dose of the medication. Can this situation be modeled by a
linear function or an exponential function? Tell how you know. After how many hours will
patients have 100 milligrams of the medication remaining in their body? Explain.
7
Does the table represent a linear or an exponential function?
x
y
1
8
A
linear
2
11
3
14
4
17
exponential
B
2
Name: ______________________
8
ID: A
Write the explicit formula for the geometric sequence.
a 1 = −5, a 2 = 20, a 3 = −80
9
A
a n = −5 ⋅ (−4) n
C
a n = −4 ⋅ (−5) n − 1
B
a n = −5 ⋅ (−4) n − 1
D
a n = −5 ⋅ (4) n
Write the recursive formula for the geometric sequence.
a 1 = −2, a 2 = 8, a 3 = −32
A
a n = −4 ⋅ a n − 1
C
a n = −2 + a n − 1
B
a n = −4 + a n − 1
D
a n = −2 ⋅ a n − 1
C
2h
D
2
10 Simplify the radical expression.
12h
4
A
4
3h
B
h
6
4
2
3
3h
4
11 Short Answer: Put all work and answer(s) in the box below.
Use a graph to find the solution of the equation 4 = 2
3
x+1
. What is the solution?
Name: ______________________
ID: A
12 Simplify the radical expression.
2
10 ⋅ 3
A
5
12
120
B
12
30
C
12
60
C
2
56q
C
x = −9
D
x=−
D
6
120
D
4
14q
13 Simplify the radical expression.
14q ⋅ 2
A
4q
4q
14
B
3
56q
2
2
2
14 Solve the exponential equation.
x
3 =
1
27
1
3
A
x=
B
x = −3
1
3
15 Paolina buys a collectible coin for $0.03. After one year, the coin is worth $0.06. After two
years, the coin is worth $0.12. After three years, the coin is worth $0.24. If the pattern
continues, how many years until the coin is worth $245.76?
A
B
26 years
13 years
11 years
15 years
C
D
16 f(x) = 4x − 7 and g(x) = −7x + 4. What are (f + g)(x) and (f + g)(−2)?
A
B
(f + g)(x) = −3x − 3;
(f + g)(−2) = 3
(f + g)(x) = −3x + 3;
(f + g)(−2) = 3
(f + g)(x) = −3x + 3;
(f + g)(−2) = –9
(f + g)(x) = −3x − 3;
(f + g)(−2) = –9
C
D
x
17 A fishery manager uses the function f(x) = 60 ⋅ 1.02 to model the bluegill population in a
pond after x months. What is the average rate of change of the function over the intervals
0 ≤ x ≤ 10, 10 ≤ x ≤ 20, and 20 ≤ x ≤ 30? Is the bluegill population constant or increasing?
A
B
about 1.31, about 2.92, about 4.87;
increasing
about 1.31, about 1.31, about 1.31;
constant
about 1.31, about 1.6, about 1.95;
increasing
about 2.92, about 2.92, about 2.92;
constant
C
D
4
Name: ______________________
ID: A
18 Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict
the population after 4 years.
A
B
about 3,110 deer
about 12,000 deer
about 24,000 deer
about 1,624 deer
C
D
x
19 Identify the graph that represents the solution to the equation 0.5 − 5 = 6. What is the
solution of the equation?
A
x is about –2.58.
C
x is about –3.7.
B
x is about –3.17.
D
x is about –3.46.
5