Download Week 4 Practice

Name:____________________________________
Date:_____________
Week 4 ALGEBRA EOC Review Homework – DUE ____________________
Note:ThiswillcountasahomeworkgradeANDwillbeaveragedwithotherEOCHomeworkgradesto
countasatestgrade.Showyourworkbutwriteanswersinanswerboxprovided.
1. What function equation represents the data in the table?
X
0
1
2
3
Y
1
0.25 0.0625 0.015625
A
B
C
D
ANSWERS:
1._______________
2._______________
3._______________
𝑦 = 0.25𝑥 + 1
𝑦 = 𝑥 − 0.75
𝑦 = 0.25!
𝑦 = −0.25!
4._______________
5._______________
6._______________
2. Each year the height of the flagpole in Kielee’s front yard
decreases by 5%. This year the flagpole is 58 inches tall.
Which equation shows the height of the flagpole in x years?
7._______________
8._______________
9._______________
F
G
H
J
!
𝑦 = 0.05(58)
𝑦 = 58(0.95)!
𝑦 = 58 − 0.95!
𝑦 = 58 0.05)!
10._______________
11._______________
12._______________
13._______________
!
3. What is the domain of the function 𝑦 = 2(15 )?
A
B
C
D
14._______________
ℝ (all real numbers)
−2 < 𝑥 < 15
−2 < 𝑦 < 15
−∞ < 𝑦 < 2
15._______________
16._______________
17._______________
18._______________
4. What is the asymptote of the function 𝑦 =
! !
!
− 6?
19._______________
5. A small town currently has a population of 15,000. Each year the population decreases by
2.25%. What will the population be in 8 years?
A 12,503
B 14,343
C 14,982
D 17,922
6. Daphne invested $25,000 in an account that pays 4.5% interest compounded weekly.
After 3 years, what is the balance in his account?
!
*Use the compound interest formula: 𝐴 = 𝑃(1 + !)!"
where P = principal amount, r = rate as decimal, n = number of times compounded
each year and t = time in years.
F $3611.75
G $28,611.75
H $70,877.18
J $95,877.18
7. The value m of a baseball card is given by the equation 𝑚 = 240(1.25)! , where t is the
number of years after 2012. What is the value of the card, in dollars, in the year 2012?
8. The Comptons pay $3000 for property taxes. Each year the property taxes increase by
8%. What will they pay after a decade?
A
B
C
D
$600
$2400
$3477
$6477
9. Josh just purchased an antique desk worth $8000. The equation 𝑣 = 8000(1.03)! models
the value of the desk after t years. Which of the following best describes the meaning of
the value 1.03 in the equation?
F
G
H
J
The value of the desk will decrease by 1.03% each year.
The value of the desk will increase by 1.03% each year.
The value of the desk will increase by 3% each year.
The value of the desk will decrease by 3% each year.
10. The formula for the nth term of a sequence is 𝑎! = 5(3)!!! . If the sequence were
graphed on a coordinate plane, which point would be on the curve?
A
B
C
D
(3,225)
(4,400)
(5,405)
(6,243)
11. Find the formula for the sequence:
5125, 1025, 205, 41, . . .
F 𝑎! = 5125
G 𝑎! = 5125
! !
!
! !!!
!
H 𝑎! = 5125 5 !
J 𝑎! = 41(5)!!!
12. Which formula represents the terms in this table?
n
1
2
3
4
n
a
3
27
243
2187
A
B
C
D
𝑎! = 3(9! )
𝑎! = 3(9)!!!
𝑎! = 9(3)!
𝑎! = 9(3)!!!
13. What is the 8th term of the sequence?
64768; 16192; 4048; 1012; . . .
F
G
H
J
3.953125
63.25
253
1,061,158,912
14. The numbers of students at Sanger Middle School are shown in the table
Year
1
2
3
Number of
700
770
847
Students
Use a recursive pattern. What is the number of students that will be at the school next
year?
A
B
C
D
70
630
932
1632
15. In a given sequence, a1 = 126 and an = 3an-1 – 5. What is the fourth term of the sequence?
F
G
H
J
363
373
1114
3337
16. The table shows several terms of a sequence.
n
1
2
3
4
n
a
-2
4
-8
16
Which of the following is a recursive formula for the sequence?
A
B
C
D
a1
a1
a1
a1
=
=
=
=
-2,
-2,
-2,
-2,
17. Evaluate
A
B
C
D
an
an
an
an
=
=
=
=
-2an-1
2an-1
-1(an-1)2
-1(2n)
𝑎𝑏 if a = 121 and b = 23.
about 5.26
about 9.90
about 12
about 52.75
18. Maria’s starting salary at a company is $42,000 per year. On average, employees receive
a 6.5% increase in salary every year. Which equation shows what her salary will be in x
years?
F
G
H
J
s = (1 + 0.065)x
s = 42,000(0.065)x
s = 42,000(1 + 0.065)x
s = 42,000(1 - 0.065)x
19. Which equation represents the nth term of the arithmetic sequence?
-6, -1, 4, 9, . . .
F
G
H
J
an = -5n + 11
an = -5n - 1
an = 5n - 1
an = 5n - 11