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?______________-                ______________________________