Academic Worksheet 5.4
Find the product.
1.

20  3 
 
33  11 
2.
7
  4 
12
3.
3 1
 2 5
8 3
4.
1 
4
 5  2 
9  13 
Evaluate the expression.
5.
1 8  3
  
4 9  5
6.
4  1 3
  
7  8 4
9.

7.
7 2 2
 
10 9 3
10.
xy 2 xy

6
3
Simplify the expression.
8.
20 x 36 x

9
5
8x  4 x 


15  7 
11. Find the area of the square.
3
5
12. Every day for a week you run 3 miles. What is the total distance you run for the week?
13. About
2
4
of the weight of a pineapple is water. About how much water would you expect to find in
5
1
pounds of pineapple?
2
14. The Sears Tower in Chicago has a height of about 1730 feet. About
28
of this height are the antenna
173
towers at the top of the building. What is the height of the antenna towers?
Academic Worksheet 5.5
State the reciprocal of the number.
1.
12
2.
10
13
3.
6.
16
2
25
7. 10
0.2
4.
4.5
Evaluate the expression.
5.

7 19

5 40
9 
1
  3 
14 
2
8. 8
9
7
1
20
40
Evaluate the expression.
9.
4 1 7
 
9 3 10
12. A canteen can hold up to 6
10.
5 5 10
 
8 12 21
11.
6 3 3
 
13 5 4
1
1
cups of water. You have a jug that holds 62 cups of water. How many
4
2
canteens can be filled with the jug of water?
13. A rectangle has an area of 6
6
9
1
square meters and a width of 1 meters. Find the quotient
10
2
9
1
 1 to find the length of the rectangle.
10
2
Academic Worksheet 5.6
Solve the equation. Check your solution.
1.
5
x  30
8
2.
7
4
x
11
11
3.

3
11
x
4
32
4.
3
11
 x
14
21
Solve the equation. Check your solution.
4
x  8  28
7
8
10
9
 x
8.
19
19
19
5.
6. 32  16 
9.
1
x
2
8
10
3
 x
21
21
7
14
13 12
x

17
17 17
1 9
4

x
10.
2 14
7
7.
11. The height of a certain tree is 8 feet. If the tree’s height grows at a rate of 2

1
feet per year, how long
4
will it take the tree to reach a height of 26 feet?
12. The figure is composed of two rectangles. The area of the figure is 1
a. Find the area of the larger rectangle.
b. Write an expression for the area of the smaller
rectangle.
c. Write an equation relating the sum of the areas in parts
(a) and (b) to the total area of the figure. Solve the
equation to find the value of x .
5
square inches.
16