Click on each problem below to see the video of the problem worked out.

 

Write an equation and then solve each problem. (equation 2 pts, solution 2 pts)

 

1.

The length of the side of a particular square is 12 inches. Find its perimeter.

 

 

2.

The perimeter of a square is 52 centimeters. Find the length of its side.

 

 

 

3.

The area of a square picture is 36 square inches. Find the length of its side.

 

 

 

4.

The perimeter of a rectangular floor is 212 feet and its length is 73 feet. Find the width of this floor.

 

 

 

5.

A rectangular field is 86 yards long and 54 yards wide. Find the perimeter of this field.

 

 

 

 

6.

Find the area of a rectangular game board that is 14 inches long and 8 inches wide.

 

 

 

 

7.

Find the width of a rectangular postcard that has an area of 24 square inches and a length of 6 inches.

 

 

 

 

8.

Find the area of the parallelogram below.

 

                                                                                 


 

 

 

 

 

 

 

 

 

 

 

 

 


Write an equation and solve each problem (equation 2 pts, solution 2 pts).

 

9.

 

If the product of 7 and a number is decreased by 12, the result is 24 less than the number. Find the number.

 

 

 

10.

 

Ty purchased 8 boxes of business cards. During his first conference, he handed out 53 cards and during his second conference, he handed out 94 cards. If he has 429 cards remaining, how many cards were in each box?

 

 

 


11.

 

During their week of training, Debbie ran 30 miles less than twice the number of miles that John ran. If Debbie ran 24 miles this week, how many miles did John run?

 

 

 

12.

 

In her savings account, Brittany has $85 more than three times the amount she has in her checking account. Between these two accounts, she has $1,933. How much money is in each account?

 

 

 

 

13.

The results from the Student Council race showed Angela received 32 fewer votes than twice the number of votes that Rachel received. If Angela received 76 votes, how many votes did Rachel receive?

 

 

 

 

14.

On a local car lot, the number of cars is 9 more than 4 times the number of trucks. Altogether, there are 89 vehicles. How many of each type of vehicle are on the lot?

 

 

 

 

15.

The length of a rectangle is 5 inches longer than 3 times its width. Find its length and width given the perimeter is 66 inches.

 


 

 

16.

 

Reduce completely (4 pts)

 

48 m3n9   /   36 m7n6

 


 

17 – 20.

 

 

 

 

 

 

 

 

 

 

 

21 & 22.

 

 

 

 

 

 

 

 

 

 

 

23 –  25.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Perform the indicated operation and completely reduce. (4pts)

 

17)   2/3  of 48                18)  3 y5 / 5    divided by    y8 / 30

 

      

19)   a / 4    minus    m / x               

 

 

20)   ( - 1 / 2 )3   +   ( 3 / 10 ) ( 5 / 6 )2

 

 

 

Solve each equation and write the balance statement.

 

21)  ( 2 / 7 )  g      -     4     =     2

 

 

22)   3p          1 / 4      =      p     +     2   3/4

 

 

 

 

List the operation(s) used and solve each problem.

 

23)  Alison started this week with    15  2/3    gallons of gasoline in her car. At the end of the week, she had     3  ¼     gallons remaining. How many gallons of gasoline did she use?

 

 

 

 

24)  Nira uses     3  1/5      feet of ribbon to make each award. How many awards can she make with 240 feet of ribbon?

 

 

 

 

 

25)  LaTonya would like to buy enough rubber-stripping to put around her rectangular table. If her table is      6  ¾      long and     3  7/8      feet wide, how many feet of stripping must she buy?