Grade 7 Math In-Class Assignment

Unit 1 – Patterns and Relations

Section 1.1 to 1.5

September, 2012 Total: 45 points Name: ______

Part A: Multiple Choice: Place the letter of the correct answer in the space at the right.

[12 points]

1. Which number is divisible by 6? 1. _____

A. 241 B. 139 C. 526 D. 612

2. Which number would you put in the _ to make the number 27_8 divisible by 4? 2. _____

A. 5 B. 3 C. 2 D. 1

3. The correct algebraic expression for the statement “4 less than twice a number” is 3. _____

A. 4 – 2n B. 8 – 2n C. 4n – 2 D. 2n – 4

4. Evaluate the algebraic expression 2 + 3n when n = 4. 4. _____

A. 14 B. 34 C. 36 D. 16

5. An algebraic expression has a numerical coefficient of 5, a constant term 3 and 5. _____

a variable n. What is the algebraic expression?

A. 3 + 5n B. 35n C. 5 + 3n D. 53n

6. Evaluate the algebraic expression , when n = 10. 6. _____

A. 2 B. 8 C. 12 D. 6


Part B: Completion: Complete all questions in the space provided.

Show detailed working and give detailed explanations.

1. A. In the box below, draw a Venn diagram with 2 loops. [5 points]

Label the loops “Divisible by 2” and “Divisible by 9”.

Place these numbers in the correct loop: 216, 112, 306, 427, 765, 271, 332, 108

B. Pat thinks that the numbers in the region where the two loops overlap should also be divisible by another number. What might this number be? [2 points]

3. Use divisibility rules to:

A.  Write all the multiplication facts for 112. [3 points]

B.  List all the factors of 112. [1 point]

4. Let n represent the term number.

Term Number, n / 1 / 2 / 3 / 4
Term / 4 / 7 / 10 / 13

A.  Describe, in words, how the term is related to its term number. [2 points]

B.  Write an algebraic expression to represent this relation. [2 points]

5. The cost to buy pictures includes a $20 setting fee plus $5 for every picture you purchase.

A.  Write an algebraic expression to represent the cost of buying p pictures. [2 points]

B. What would it cost to buy 5 pictures? [2 points]

C. Suppose the sitting fee was doubled, what would the algebraic expression for the cost of buying p pictures be now?

[2 points]

6.  Complete the Input/Output tables. [4 points]

A. B.

Input
n / Output
10 – n
0
2
4
6
Input
n / Output
3n -1
1
2
3
4

7. Write the algebraic expression for the relation in each Input/Output table. [8 points]

A. B.

Input
n / Output
1 / 8
2 / 16
3 / 24
3 / 32
5 / 40
Input
n / Output
1 / 6
2 / 11
3 / 16
4 / 21
5 / 26

C. D.

Input
n / Output
1 / 3
2 / 8
3 / 13
4 / 18
5 / 23
Input
n / Output
3 / 1
9 / 3
15 / 5
21 / 7
27 / 9