Algebra II --- Variation, Progression, and theorem

1. If y varies inversely as x, and y = 12 when x = 6, what is K, the variation constant?
A. 1⁄3 C. 72
B. 2 D. 144
2. Use the remainder theorem and the factor theorem to determine whether (y – 3) is a factor of
(y4 + 2y2 – 4).
A. The remainder is 0 and, therefore, (y – 3) is a factor of (y4 + 2y2 – 4).
B. The remainder is 0 and, therefore, (y – 3) isn’t a factor of (y4 + 2y2 –4).
C. The remainder isn’t 0 and, therefore, (y – 3) is a factor of (y4 + 2y2 – 4).
D. The remainder isn’t 0 and, therefore, (y – 3) isn’t a factor of (y4 + 2y2 – 4).
3. Which one of the following is an arithmetic sequence?
A. –2, 1, 4, 7, 10, . . .
B. 5, 0, –1, –3, –7, . . .
C. 2, 3, 5, 7, 11, 13, 17, . . .
D. .35, .5, .85, 1.1, 1.22, . . .
4. Use the remainder theorem and the factor theorem to determine whether (b + 4) is a factor of
(b3 + 3b2 − b + 12).
A. The remainder is 0 and, therefore, (b + 4) is a factor of (b3 + 3b2 – b + 12).
B. The remainder is 0 and, therefore, (b + 4) isn’t a factor of (b3 + 3b2 – b + 12).
C. The remainder isn’t 0 and, therefore, (b + 4) is a factor of (b3 + 3b2 – b + 12).
D. The remainder isn’t 0 and, therefore, (b + 4) isn’t a factor of (b3 + 3b2 – b + 12).
5. Use the remainder theorem to determine the remainder when 3t 2 + 5t – 7 is divided by t – 5.
A. 43 C. 93
B. 57 D. 107
6. What is the quotient of y − 5 ) 2y2 − 7y − 15
______________
?
A. 2y – 3 C. 2y – 17y R 70
B. 2y + 3 D. 2y – 17y R – 70
7. What is the quotient of
b3 + 4b2 – 3b + 126
b + 7
?
A. b2 – 11b + 38 R140
B. b2 – 3b + 18 R252
C. b2 – 3b + 18
D. b2 + 11b + 80 R276
8. The first two terms of a geometric sequence are a1 = 1⁄3 and a2 = 1⁄6. What is a8, the eighth
term?
A. 1⁄128 C. 1⁄384
B. 1⁄256 D. 1⁄768
70
9. If x is inversely proportional to y, and x = 60 when y = 0.5, find x when y = 12.
A. 0.4 C. 25
B. 2.5 D. 360
10. An infinite geometric series has 1 and 1⁄5 as its first two terms: 1, 1⁄5, 1⁄25, 1⁄125, . . . .
What is the sum, S, of the infinite series?
A. 1⁄25 C. 1
B. 1⁄4 D. 5⁄4
11. Use the remainder theorem to determine the remainder when 5w3 – 2w + 10 is divided by
w + 3.
A. –119 C. 61
B. 46 D. 139
12. Janet wins the lottery and receives \$100 the first year. In the following years, she receives \$50
more each year. (That is, Janet receives \$150 the second year, \$200 the third year, and so
on.) How much will Janet receive, in total, after 10 years?
A. \$1,450 C. \$2,500
B. \$1,500 D. \$3,250
13. What is the quotient of d − 2 ) d 4 − 6d 3 + d + 17
__________________
?
A. d 3 − 4d 2 − 8d − 15 R −13
B. d 3 − 8d 2 + 16d − 31 R 79
C. d 3 − 4d 2 + 9d + 35
D. d 3 − 8d 2 + 17d − 17
14. What is the sum of the first 10 positive integers?
A. 50 C. 95
B. 55 D. 100
15. A bank account yields 7 percent interest, compounded annually. If you deposit \$1,000 in the
account, what will the account balance be after 5 years?
A. \$1070.00 C. \$1402.55
B. \$1350.00 D. \$1700.00
16. The first two terms of an arithmetic sequence are a1 = 2 and a2 = 4. What is a10, the tenth
term?
A. 10 C. 19
B. 18 D. 20
17. Use the remainder theorem to determine the remainder when d 4 + 2d 2 + 5d – 10 is divided
by d + 4.
A. 42 C. 126
B. 106 D. 258
18. Which one of the following is a geometric sequence?
A. 2, –3, 9⁄2, −18⁄4
B. 0, 1, 2, 3, . . .
C. 8, 4, 2, 1, 1⁄2, 1⁄4, . . .
D. –7, 10, 23, 36, . . .
19. If y = 7.2 when x = 10, what is the value of x when y = 20? (y varies inversely as the square of x.)
A. 6 C. 14.4
B. 10 D. 20
20. Use the remainder theorem and the factor theorem to determine whether (c + 5) is a factor of
(c4 + 7c3 + 6c2 – 18c + 10).
A. The remainder is 0 and, therefore, (c + 5) is a factor of (c4 + 7c3 + 6c2 – 18c + 10).
B. The remainder is 0 and, therefore, (c + 5) isn’t a factor of (c4 + 7c3 + 6c2 – 18c + 10).
C. The remainder isn’t 0 and, therefore, (c + 5) is a factor of (c4 + 7c3 + 6c2 – 18c + 10).
D. The remainder isn’t 0 and, therefore, (c + 5) isn’t a factor of (c4 + 7c3 + 6c2 – 18c + 10).
72

We don't do your work for you here. We also don't appreciate being asked 20 questions on one post. If you want help, ask one question per post and show some work you have done.

For question 1, what they are asking is this:
Assume y = K/x. What is the value of K if y=12 when x = 6?
12 = K/6
K = ?

#3

which one of the following is an arithmetic sequence

1. 👍 0
2. 👎 0
3. 👁 186

Similar Questions

1. Inverse Variation

Help me please.. Explain also :( 1. E is inversely proportional to Z and Z = 4 when E = 6. 2. P varies inversely as Q and Q = 2/3 when P = 1/2. 3.R is inversely proportional to the square of I and I = 25 when R = 100. 4. F varies

asked by Elmo Schnittka on November 9, 2011
2. Pre-Algebra

If y varies directly with x, find the constant of variation with x = 4 and y = -24 If y varies inversely with x, find the constant of variation with x=5 and y = 10 If y varies directly with x, and y = 35 when x = 5 , find x when y

asked by Anon on June 7, 2015
3. Check my answers. Algebra

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s

asked by Soly on October 10, 2007
4. variation

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s

asked by Soly on October 9, 2007
5. variation

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s

asked by Soly on October 9, 2007
6. Variation-Check Problems

Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s

asked by Soly on October 8, 2007
7. Math/Algebra

Im stuck on two problems and would really appreciate the help. 1. y varies jointly as a and b, and inversely as the square root of c. y=28 when a=2, b=7, and c=9. Find y when a=4, b=2, and c=4 2. y varies directly as x and

asked by Jay on October 2, 2015
8. Variation-Questions

I have some questions that I don't understand and need to be checked please? Slove the problem. 1. y varies directly as z and y=187 when z=17. Find y when z=15 -This is how I did it: 187=k*17, I divided by 17 on both sides and got

asked by Soly on October 8, 2007
9. Pre Cal

If x varies directly as y62, inversely as z, and inversely as the square root of w, what happens to x when y is multiplied by 3, z is doubled, and w is quadrupled? I would really appriciate it if someone could help me understand

asked by Marie on February 21, 2007
10. Math102

If x varies directly as y and y varies inversely as the square of z. How is x varies with z?

asked by Robert on October 24, 2007
11. MATHS

IF C IS JOINTLY VARIES AS S AND INVERSELY VARIES AS THE FORTHROOT OF M WHERE C=23083 AND M=256 WHERE S=55 FIND THE FORMU

asked by ABDULLAHI on June 12, 2017

More Similar Questions