Math 40
Prealgebra
Section 4.8 – HOMEWORK
In Exercises 1-12, solve and check.
1.
x
 6
9
3.
11 
5.
5
x3
7
7.
6 
9.
11.
n
7
2.
8 
4.
x
 12
5
6.
9
n7
2
8.
8 
9
1
 x
5
2
10.
2
1
n
5
6
1
3
 n
9
5
12.
1
10
 x
5
3
n
3
3
n
8
2
x
5
In Exercises 13-28, solve.
13.
n n
 8
3 4
14.
x x
 2
3 6
15.
u
5
4
5
3
16.
y
 23  7
6
17.
3x 1
  15
8 2
18.
1 5n 7


4 6 12
19.
y
y
 10 
9
12
20.
15 
21.
1 5n 7


12 6 9
22.
4 x 11
1


9 18
3
23.
u
u
2 4
5
3
24.
y
y
 12  6 
3
2
25.
3x x
  2
8 4
26.
n 2n 1


5 15 4
27.
9 3
y
y  
2 14
14
28.
5
u
 3  3u  
4
2
u u

6 9
1
2015 Campeau
Math 40
Prealgebra
Section 4.8 – HOMEWORK
In Exercises 29-38, solve.
29.
5n
4n
2 n
3
5
30.
x
x 3x

9
4 10
31.
u u
 u2
2 3
32.
3y 5y y 1

 
2
4 3 8
33.
x
x 3
5   
12
8 4
34.
4n
n 3
1  
3
2 2
35.
y y 5
   10  0
4 3 3
36.
u 7 1 u
   0
4 6 2 6
37.
3n 1 n 3
  
4 4 3 2
38.
x 1 x 3
  
3 6 5 2
In Exercises 39-44, use the Five Step Word Problem Method to solve.
For all exercises, address the following: 1) define variable
2) equation
3) solve
4) state answer in complete sentence
5) check
39.
The sum of one-third of a number and one-fourth of the number is 14. Find the number.
40.
Two-fifths of a number, increased by 20 is 42. Find the number.
41.
One-seventh of a number, subtracted from one-third of the number is 4. Find the number.
42.
One-half of a number is 5 more than one-third of the number. Find the number.
43.
One-eighth of a number, increased by one-sixth of the number is 13 decreased by one-fourth of the
number. Find the number.
44.
The width of a rectangular parking lot is three-fourths of its length. If the perimeter is 168 meters, find the
dimensions of the lot.
2
2015 Campeau
Math 40
Prealgebra
Section 4.8 – HOMEWORK
In Exercises 45-49, use the Five Step Word Problem Method to solve.
For all exercises, address the following: 1) define variable
2) equation
3) solve
4) state answer in complete sentence
5) check
45.
The width of a rectangular room is five-sixths of its length. If the perimeter is 22 meters, find the
dimensions of the room.
46.
The area of a triangle is 51 square inches. If the length of the base is 8
1
inches, find the height of the
2
triangle.
47.
The area of a triangle is 20 square feet. If the length of the base is 2
1
feet, find the height of the
2
triangle.
48.
The area of a triangle is 18 square meters. If the length of the base is 4
1
meters, find the height of the
2
triangle.
49.
The area of a triangle is 44 square yards. If the length of the base is 5
1
yards, find the height of the
2
triangle.
3
2015 Campeau