Math Practice

Unit 1: Patterns and Relations    

 

Part A  Completion:  Place the correct answer in the space to the right.

 

  1.  A number is divisible by 5 if it's last digit is a                                    ________________

     2.  If a number is divisible by 3 and 2, then it must be divisible by        _________________     

     3.  What is the next number in the pattern 27,24,21,18,15?                  ________________

      4. What is the value of 3n + 4 when n is 5?                                           ________________

      5.  In the expression 2d + 3,

                                                  a) 2 is called the              ________________

                                                  b) d is called the             ________________

                                                  c) 3 is called the             ________________

   6.  Find the number between 425 and 435 that is divisible by 9              _________________

   7.  If 3x + 2 = 11, what is the value of x?                                                  _________________

 

 

Part B  Matching:  Match the expression or sentence in Column A with the correct algebraic expression or equation in Column B. 

 

                          Column A                                                                                   Column B

            1.  A number increased by 4 is 11.                                                         A. 6 + n/2

            2.  Triple a number decreased by 7                                                         B. 3n – 7

            3.   9 less than a number is 2                                                                  C. n - 9 = 2

            4.  Half of a number added to 6                                                             D. 2n + 8 = 42

            5.  8 more than double a number is 42.                                                  E. n + 4 = 11

 

 

Part C

1. Construct a Venn Diagram with two loops. Label the loops divisible by 3 and divisible by 4.

Sort the following numbers using the Venn Diagram.                      

 

345,      1204,       2332,       9999,      12420,      20010,      6420 

 

2.     A)      Draw algebra tiles to model 2n + 4 = 8.

 

 

          B)      Solve the equation.                                                                     

 

Part D

 

1.  Complete the following tables of values using the given relation.    

 

    n        3n

   1

   2

   3

   4

   5

 

    n      10 – 2n

   1

   2

   3

   4

   5

 

2.    Give the algebraic expression for each relation below.               

Input (n)                                             Output

1                                                             12  

2

3

4

5

6

18

 

24

 

30

 

Relation: __________

Input (n)

Output

 

1

 

2

 

3

 

4

 

5

 

6

 

8

 

10

 

12

 

14

 

Relation: ____________

 

 

 

 

 

The cost of renting a car is $40 plus $10 per day, or 40 + 10d where d is the number of days the car is rented.  This is shown in the table below.

 

 

 

 

 

 

 

  

          

 

 

Days

Renting

 

Cost ($)

 

1

 

2

 

3

 

4

 

5

 

50

 

60

 

70

 

80

 

90

 

 

       A)     Draw a graph of the table.

       B)    What would be the cost of renting the car for 10 days?______________-                ______________________________