Mathematics
Algebra
An arithmetic sequence has first term 9 and common difference 3. What is its 12th term?
A. 42
B. 43
C. 45
D. 39
Correct Answer: A
a_n=9+(12-1)×3=42.
Mathematics
Algebra
An arithmetic sequence has first term 8 and common difference 2. What is its 11th term?
A. 30
B. 28
C. 26
D. 29
Correct Answer: B
a_n=8+(11-1)×2=28.
Mathematics
Algebra
An arithmetic sequence has first term 7 and common difference 7. What is its 10th term?
A. 70
B. 63
C. 71
D. 77
Correct Answer: A
a_n=7+(10-1)×7=70.
Mathematics
Algebra
An arithmetic sequence has first term 6 and common difference 6. What is its 9th term?
A. 54
B. 55
C. 60
D. 48
Correct Answer: A
a_n=6+(9-1)×6=54.
Mathematics
Algebra
An arithmetic sequence has first term 5 and common difference 5. What is its 8th term?
A. 45
B. 41
C. 35
D. 40
Correct Answer: D
a_n=5+(8-1)×5=40.
Mathematics
Algebra
An arithmetic sequence has first term 4 and common difference 4. What is its 7th term?
A. 32
B. 28
C. 29
D. 24
Correct Answer: B
a_n=4+(7-1)×4=28.
Mathematics
Algebra
An arithmetic sequence has first term 3 and common difference 3. What is its 6th term?
A. 15
B. 19
C. 21
D. 18
Correct Answer: D
a_n=3+(6-1)×3=18.
Mathematics
Algebra
An arithmetic sequence has first term 2 and common difference 2. What is its 5th term?
A. 8
B. 11
C. 10
D. 12
Correct Answer: C
a_n=2+(5-1)×2=10.
Mathematics
Algebra
If f(x)=6x+4, what is f⁻¹(x)?
A. (x+4)/6
B. 6x-4
C. (x - 4)/6
D. 6/(x-4)
Correct Answer: C
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=5x+3, what is f⁻¹(x)?
A. 5x-3
B. (x - 3)/5
C. (x+3)/5
D. 5/(x-3)
Correct Answer: B
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=4x+2, what is f⁻¹(x)?
A. 4x-2
B. 4/(x-2)
C. (x+2)/4
D. (x - 2)/4
Correct Answer: D
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=3x+1, what is f⁻¹(x)?
A. (x − 1)⁄3
B. 3⁄(x-1)
C. 3x-1
D. (x+1)⁄3
Correct Answer: A
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=2x+6, what is f⁻¹(x)?
A. (x − 6)⁄2
B. 2⁄(x-6)
C. (x+6)⁄2
D. 2x-6
Correct Answer: A
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=6x+5, what is f⁻¹(x)?
A. (x+5)⁄6
B. (x − 5)⁄6
C. 6⁄(x-5)
D. 6x-5
Correct Answer: B
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=5x+4, what is f⁻¹(x)?
A. (x+4)⁄5
B. 5⁄(x-4)
C. 5x-4
D. (x − 4)⁄5
Correct Answer: D
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=4x+3, what is f⁻¹(x)?
A. (x − 3)⁄4
B. 4⁄(x-3)
C. (x+3)⁄4
D. 4x-3
Correct Answer: A
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=3x+2, what is f⁻¹(x)?
A. (x+2)⁄3
B. 3⁄(x-2)
C. 3x-2
D. (x − 2)⁄3
Correct Answer: D
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=2x+1, what is f⁻¹(x)?
A. 2⁄(x-1)
B. (x − 1)⁄2
C. (x+1)⁄2
D. 2x-1
Correct Answer: B
Swap x and y and solve for y.
Mathematics
Algebra
If f(x)=3x+5 and g(x)=1x+3, find (f∘g)(5).
A. 29
B. 30
C. 28
D. 32
Correct Answer: A
g(5)=8; f(8)=29.
Mathematics
Algebra
If f(x)=2x+4 and g(x)=3x+2, find (f∘g)(4).
A. 32
B. 31
C. 33
D. 35
Correct Answer: A
g(4)=14; f(14)=32.