Nationwide Mathematics Competition Grade - 11 Student Name: 4th Round Time allowed: 1 hour School Name: Instruction I: Choose the best answer from the suggested options and write the letter of your choice on the answer sheet provided. 1. If x>0 and x(x+1)=6, what is the value of (x+1)(x+2)? A) 10 B) 12 C) 42 D) 48 2. A function f: IRIR satisfies f(10-x) = f(13+x) for all real number x. It is know that has exactly two roots. What is the sum of these two roots? A) -3 B) 3 C) 13 D) 23 3. If the domain of f is (0,1), then what is the domain of ƒ (e*) + ƒ (In|x|) ? B) (-e,0) C) (-1,0) x+1 = and f(a)=5, then f(2a) is equal to: x-1 A) (-e,-1) 4. If f(x)= A) 8 B) 6 5. If f(x)=√1+e, what is f'(x)? A) In(1-x) B) In(x³-1) C) 4 C) In D) (0,e) D) 2 D) (1+e³)³ 6. A rectangular area of 2500m² is to be fenced off. Two opposite sides of the fencing cost 3 birr per meter; the remaining two sides cost 2 birr per meter. If x represents the length of the sides requiring the more expensive fencing, what is the total cost of the fencing as a function of x? 1000 x 2500 x A) C(X)=6x+- B) C(x)=6x+ C) C(x)=3x+ 5000 1000 D) C(x)=3x+ x x 7. Let A=(a) be an nxn matrix with det(A) = 8 and a be a non-zero real number. If B=(aa), what is the determinant of B? A) 8a B) 8a" C) 8 D) 8a'j 8. Which one of the following points is collinear with the points (3,4) and (1,7)? A) (0,8) B) (2,5) 9. What is the area of the quadrilateral whose four vertices are given by A(-7,7), B(5,5),C(3,-4) and D(-5,-6)? A) 223 sq. units B) 113 sq. units C) (5,-1) D) (-1,10) C) 110 sq. units D) 76 sq. units A) -1 10. For what value of k the system B) 1 (x+ky=1 kx+y=1 has only one solution? C) -1 and 1 D) IR\{-1,1}

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
find the solution number 6
Nationwide Mathematics Competition
Grade - 11
Student Name:
4th Round
Time allowed: 1 hour
School Name:
Instruction I: Choose the best answer from the suggested options and write the letter of your
choice on the answer sheet provided.
1. If x>0 and x(x+1)=6, what is the value of (x+1)(x+2)?
A) 10
B) 12
C) 42
D) 48
2. A function f: IRIR satisfies f(10-x) = f(13+x) for all real number x. It is know
that has exactly two roots. What is the sum of these two roots?
A) -3
B) 3
C) 13
D) 23
3. If the domain of f is (0,1), then what is the domain of ƒ (e*) + ƒ (In|x|) ?
B) (-e,0)
C) (-1,0)
x+1
= and f(a)=5, then f(2a) is equal to:
x-1
A) (-e,-1)
4. If f(x)=
A) 8
B) 6
5. If f(x)=√1+e, what is f'(x)?
A) In(1-x)
B)
In(x³-1)
C) 4
C) In
D) (0,e)
D) 2
D) (1+e³)³
6. A rectangular area of 2500m² is to be fenced off. Two opposite sides of the fencing cost
3 birr per meter; the remaining two sides cost 2 birr per meter. If x represents the length
of the sides requiring the more expensive fencing, what is the total cost of the fencing as
a function of x?
1000
x
2500
x
A) C(X)=6x+- B) C(x)=6x+ C) C(x)=3x+
5000
1000
D) C(x)=3x+
x
x
7. Let A=(a) be an nxn matrix with det(A) = 8 and a be a non-zero real number. If
B=(aa), what is the determinant of B?
A) 8a
B) 8a"
C) 8
D) 8a'j
8. Which one of the following points is collinear with the points (3,4) and (1,7)?
A) (0,8)
B) (2,5)
9. What is the area of the quadrilateral whose four vertices are given by
A(-7,7), B(5,5),C(3,-4) and D(-5,-6)?
A) 223 sq. units B) 113 sq. units
C) (5,-1) D) (-1,10)
C) 110 sq. units
D) 76 sq. units
A) -1
10. For what value of k the system
B) 1
(x+ky=1
kx+y=1
has only one solution?
C) -1 and 1
D) IR\{-1,1}
Transcribed Image Text:Nationwide Mathematics Competition Grade - 11 Student Name: 4th Round Time allowed: 1 hour School Name: Instruction I: Choose the best answer from the suggested options and write the letter of your choice on the answer sheet provided. 1. If x>0 and x(x+1)=6, what is the value of (x+1)(x+2)? A) 10 B) 12 C) 42 D) 48 2. A function f: IRIR satisfies f(10-x) = f(13+x) for all real number x. It is know that has exactly two roots. What is the sum of these two roots? A) -3 B) 3 C) 13 D) 23 3. If the domain of f is (0,1), then what is the domain of ƒ (e*) + ƒ (In|x|) ? B) (-e,0) C) (-1,0) x+1 = and f(a)=5, then f(2a) is equal to: x-1 A) (-e,-1) 4. If f(x)= A) 8 B) 6 5. If f(x)=√1+e, what is f'(x)? A) In(1-x) B) In(x³-1) C) 4 C) In D) (0,e) D) 2 D) (1+e³)³ 6. A rectangular area of 2500m² is to be fenced off. Two opposite sides of the fencing cost 3 birr per meter; the remaining two sides cost 2 birr per meter. If x represents the length of the sides requiring the more expensive fencing, what is the total cost of the fencing as a function of x? 1000 x 2500 x A) C(X)=6x+- B) C(x)=6x+ C) C(x)=3x+ 5000 1000 D) C(x)=3x+ x x 7. Let A=(a) be an nxn matrix with det(A) = 8 and a be a non-zero real number. If B=(aa), what is the determinant of B? A) 8a B) 8a" C) 8 D) 8a'j 8. Which one of the following points is collinear with the points (3,4) and (1,7)? A) (0,8) B) (2,5) 9. What is the area of the quadrilateral whose four vertices are given by A(-7,7), B(5,5),C(3,-4) and D(-5,-6)? A) 223 sq. units B) 113 sq. units C) (5,-1) D) (-1,10) C) 110 sq. units D) 76 sq. units A) -1 10. For what value of k the system B) 1 (x+ky=1 kx+y=1 has only one solution? C) -1 and 1 D) IR\{-1,1}
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education