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Chapter 15 Practice Set 1 (Problems 27-46)

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

27. What is the value of  3x(99x)3x(9−9x) when

 x=43x=\frac{4}{3}  ?

a)

 12-12  

b)

 9-9  

c)

 44  

d)

 1212  

2.

 114a =3\frac{11}{4}-a\ =3  

28. What is the value of a in the equation above?


a)

 234-\frac{23}{4}  

b)

 114-\frac{11}{4}  

c)

 14-\frac{1}{4}  

d)

 14\frac{1}{4}  

3.

29. What is the value of x in the equation  10=5x−5  ?

a)

 22  

b)

 33  

c)

 55  

d)

 77  

4.

30. Rachel is now 11 years old. Five years ago, Lily was twice as old as Rachel. How old is Lily now?

a)

1212

b)

1313

c)

1616

d)

1717

5.

31. If n is an integer, which of the following must be odd?

a)


3n53n-5

b)

3n+43n+4

c)

4n+104n+10

d)

4n 54n\ -5

6.

32. When z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8 ?

a)


11

b)

33

c)

44

d)

55

7.

33. If the price of a stock increases by 40% and then by an additional 25%, by what percentage has the price increased from its original value?

a)


60%60\%

b)

62%62\%

c)

65%65\%

d)

75%75\%

8.

34. If  a+2b+2c=5a+2b+2c=5 and a+2b+3c=5a+2b+3c=5  , what is the value of  a+2b+4ca+2b+4c   ?


a)

 00  

b)

 55  

c)

 1010  

d)

 1515  

9.

35. If  a225=a2ba^2−25=a^2−b , then what is the value of b ?

a)

 25-25  

b)

 00  

c)

 55  

d)

 2525  

10.

36. A computer programmer receives a salary of $100 a day, plus $0.05 for each line of code that she writes. If this is her only income, which of the following expressions represents the number of dollars she would be paid for a day that she wrote n lines of code?

a)


100+n100+n

b)

(100+0.05)n\left(100+0.05\right)n

c)

0.05+100n0.05+100n

d)

100+0.05n100+0.05n

11.

37. If  6z1=376z−1=−37 , then z =


a)

 6-6  

b)

 5-5  

c)

 55  

d)

 66  

12.

38. What is the value of  \frac{m}{m^2-m}  if  m=5m=-5  ?


a)

 16-\frac{1}{6}  

b)

 120-\frac{1}{20}  

c)

 130-\frac{1}{30}  

d)

 14\frac{1}{4}  

13.

39. Which of the following indicates that n is less than double the value of m and that n is greater than 1 ?

a)


1>n>m21>n>\frac{m}{2}

b)

1<n<2m1<n<2m

c)

12<2n<m\frac{1}{2}<2n<m

d)

1<2n<m1<2n<m

14.

40. If  50−xy=75 and y=5y=−5 , what is the value of x ?


a)

 25-25  

b)

 5-5  

c)

 55  

d)

 2525  

15.

41. Simplify the following inequality:  x−20>20−x  

a)

 x>20x>−20  

b)

 x>10x>10  

c)

 x>20x>20  

d)

 x<20x<20  

16.

42. If  a=4,b=−7,c=−3\ and\ d=−9  , then  a+b+c+dd=|a+b+c+d|−d=  


a)

 4-4  

b)

 66  

c)

 1515  

d)

 2424  

17.

43. Which region on the number line above is the set of all values of  -\frac{x}{3}  , where  6<x<6−6<x<6  ?


a)

B

b)

C

c)

D

d)

F

18.

44. If y > 3, what is the value of n ?

a)


22

b)

33

c)

y2y-2

d)

y3y-3

19.

45. If  a<b<c<0 , then which of the following must be true?
I.  a+b<b+ca+b<b+c  
II.  ca>0c−a>0  
III.  a<b+ca<b+c  


a)

I only

b)

II only

c)

I and II only

d)

I and III only

20.

46. If  x=7 , what is the value of  (x1)+(x2)+(x3)+...+(xx)(x−1)+(x−2)+(x−3)+...+(x−x)  ?


a)

 00  

b)

 77  

c)

 14  

d)

 2121