WorksheetsChapter 15 Practice Set 1 (Problems 27-46)
Total questions: 20
Worksheet time: 40mins
27. What is the value of 3x(9−9x) when
−12
−9
4
12
411−a =3
28. What is the value of a in the equation above?
−423
−411
−41
41
29. What is the value of x in the equation 10=5x−5 ?
2
3
5
7
30. Rachel is now 11 years old. Five years ago, Lily was twice as old as Rachel. How old is Lily now?
12
16
17
31. If n is an integer, which of the following must be odd?
3n+4
4n+10
4n −5
32. When z is divided by 8, the remainder is 5. What is the remainder when 4z is divided by 8 ?
3
4
5
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?
62%
65%
75%
34. If a+2b+2c=5 and a+2b+3c=5 , what is the value of a+2b+4c ?
0
5
10
15
35. If a2−25=a2−b , then what is the value of b ?
−25
0
5
25
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?
(100+0.05)n
0.05+100n
100+0.05n
37. If 6z−1=−37 , then z =
−6
−5
5
6
38. What is the value of m2−mm if m=−5 ?
−61
−201
−301
41
39. Which of the following indicates that n is less than double the value of m and that n is greater than 1 ?
1<n<2m
21<2n<m
1<2n<m
40. If 50−xy=75 and y=−5 , what is the value of x ?
−25
−5
5
25
41. Simplify the following inequality: x−20>20−x
x>−20
x>10
x>20
x<20
42. If a=4,b=−7,c=−3 and d=−9 , then ∣a+b+c+d∣−d=
−4
6
15
24
43. Which region on the number line above is the set of all values of −3x , where −6<x<6 ?
B
C
D
F
44. If y > 3, what is the value of n ?
3
y−2
y−3
45. If a<b<c<0 , then which of the following must be true?
I. a+b<b+c
II. c−a>0
III. a<b+c
I only
II only
I and II only
I and III only
46. If x=7 , what is the value of (x−1)+(x−2)+(x−3)+...+(x−x) ?
0
7
14
21
