HOMEWORK QUESTİONS
1. Which of the following statements is false?
a  All irrational numbers are real numbers b  All rational numbers are real numbers
c  All natural numbers are integers
d  All integers are irrational numbers
e  Negatives of natural numbers are integers
2. Which of the following numbers has no multiplicative inverse?
a  1
b 0
c 1
d
2
3
e 
1
4
3. What is the degree of the polynomial p  x, y   4 x 2 y  xy 4  2 xy  3 ?
a 3
4.
b 4
c 5
d1
e 2
 x  5  x3  2 x2  1 is equal to
a  x 4  3x3  10 x 2  1
b  x 4  3x 3  2 x 2  5
d  x 4  3x3  5 x 2  3
e  x 4  4 x3  2 x 2  1
c  x 4  3x3  10 x 2  5
5. Which of the following polynomials is not factorable?
a  4x2  4x  3
b  2 x 2  3x  4
d  x 2  10 xy  25
e 3y2  y  2
c  x 2  4 xy  12 y 2
6. Which of the following identities is always true?
a   a  b   a 2  b2
b  a  b    a  b   a 2  ab  b 2 
c  a  b    a  b   a 2  ab  b 2 
d  a 2  b 2   a  b  a  b 
2
3
3
e   a  b    a  b  a  b 
2
7. 4 x 2  2 xy  6 xy  3 y 2 is equal to
a   y  2 x  2 x  3 y 
b   2 y  x  3x  y 
c  y  2 x  3 y  2 x 
d  y  2 x  2 y  x 
e   y  2 x  3 y  2 x 
8.
9
 3 3 is equal to
6 3
a 3 6
b 6 3
c 6
d 2 6
e 3 3
9. What is the solution set of the equation 2 x 2  4 x  30  0 ?
a  3,5
b  3
c  3, 5
d  5
e  3, 5
10. Which of the following does not specify a function with independent variable x ?
a  3x  9  4 y
b  y  x  25
d  y  2 x
e y  x  y   4
c y  6
5  0.5 x if 0  x  10
11. Let f  x   
. Then, what is f 12   f  4  ?
2 x  10 if x  10
a 9
b 6
12. Let f  x  
a   ,5
c 4
d 7
e 8
1
. Then, the domain of the function f is
5 x
b   5,  
c   5,  
d   ,  
e   , 5
13. The range of the function f  x   x  1 is
a   0,  
b  1,  
c   1,  
d   1,1 e  0,  
14. Which of the following lines has a slope of zero?
a y  2  0 b x 1 
c  y  2x
d  y  x  3 e y  x 1
15. What is the equation of the line passes through the point  2,1 with slope 2 ?
a  y  x 1 b  y  2x  1
c  2 y  x 1
d  y  2x  3 e  y  x  1
16. Which of the following does not specify a function with independent variable x ?
a  x  y  25
b  xy  2  0
d 2y  x
e y  1
c  x2  y  9
17. Let f be a function defined by f  x   x 2  2 x  1. Then, f  2023 is equal to
a  2024
b 1
c  2022
d  2023
1
. Then, the range of f is
5 x
18. Let f be a function defined by f  x  
a   5,  
c  0,  
b   5,  
e  4046
e   5,5
d   0,  
19. What is the solution set of the equation 3 x 4  15 x 2  12  0 ?
a
b  1,1
c  2, 2
d  0,1, 2
e  2, 1,1, 2
20. If you are given two polynomials, one of degree m and the other of degree n , where
m is greater than n , what is the degree of their product?
a m  n
b m
c  mn
d n
e  mn
21. Which of the following cannot be factored?
a  m 2  6m  3
b 3y2  y  2
c  u 2  2uv  15v 2
d 17 x 2  19 y 2
e  9m2  6mn  n 2
22. Which of the following numbers has additive inverse 2 ?
a 
23.
1
2
b 2
c
1
2
d2
e 0
5  3 15

is equal to
5 3
15
a  2  15
b  4  2 15
c 7
d 4
e  15
24. Which of the following is an example of a real number that is not a rational number?
a 0
25. If  x  2 
b
x2  2 x 3
a  1,3
3
5
c  16
d  32
e  32
 1, then what is the solution set of this equation?
b  1
c  3
d  0, 2
e
26. Which of following statements about the quadratic function f  x   4 x 2  8x  3 can
not be said?
a  It has two real solutions b  Its vertex is  1,1 c  It has minimum value at x  1
d  Its graph opens downward
e  It passes through the point  0, 3
27. Which of the following equations is the equation of the graph given below?
a  y   x  2  1
b y   x  2 1
d  y   x  1  2
e  y   x  1  2
2
2
2
2
c  y   x  1  2
2