Grade 9 Maths - Grey College

[Pages:21]Grade 9 Maths

Worksheet 7

6 JULY MATHS ONLINE HOLIDAY

Day 6a and b 7-8 July 2020 Function & relationships

Worksheet 8 Day 7a and b 9-10 July 2020 Function & relationships

Worksheet 9 Day 1a and b 13-14 July 2020 Function & relationships

Worksheet 10 Worksheet 11

Day 2a and b Day 3a and b

15-16 July 2020 Function & relationships 17&20 July 2020 Function & relationships

Worksheet 12 Day 4a and b 21-22 July 2020 Function & relationships

23 July 2020 STUDY ALL WORKSHEETS

24 July 2020 ONLINE TEST

1

TOPIC: FUNCTIONS AND RELATIONSHIPS

The relationship between input and output values under a given rule can be represented in any of the following ways: (a) verbally (b) in flow diagrams (c) in tables (d) by means of equations

If we consider the relationship where input values 4 ; 5 ; 6produce output values 11;13 ;15using the rule "multiply each input

Note: If we reverse the operations we can determine the input value when given the output value. The reverse rule is as follows: Subtract 3 from each output value and then divide by 2.

Therefore, if the output value is 11, the input value is (113) 2 4 . For the output value 13, the corresponding input value is (133) 2 5 For the output value 15, the corresponding input value is (15 3) 2 6

In the examples that follow, you will be required to determine output values when given the input values. You will also be required to determine the input values when given the output values. The use of equations will be much easier to do than using inverse operations.

2

3

EXAMPLE

4

EXAMPLE

5

GRADE 9 MATHS

GREY COLLEGE Day 6a and b

7-8 July 2020

Worksheet 7

Do the following in Book 1 (or on paper)

a) Determine the output values in the following diagrams:

1

2

b) For each of the following equations, determine the output values corresponding to

the input values x2 ; 1; 0 ;1; 2 ; 3:

1) = -4 - 1 2) = 4 + 5

c) If the rule for finding y in the table below is = -9 + 6, determine the output

values () for the given input values ().

d)

If

the

rule

for

finding

y

in

the

table

below

is

=

1 3

-

2,

determine

the

output

values () vir for the given input values().

6

FINDING INPUT VALUES WHEN GIVEN OUTPUT VALUES AND A RULE

EXAMPLE

7

EXAMPLE

8

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