Patterns And Relations Worksheet - Grade 7 Page 26
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46LESSON
Which numbers are divisible by 4?
6. i)
For each number pattern,
1.
1.1
By 8? How do you know?
how is each term related to the
a) 932
b) 1418
c) 5056
term number?
d) 12 160
e) 14 436
ii) Let n represent the term number.
Write a relation for the term.
Draw a Venn diagram with 2 loops.
2.
1.2
a)
1 2 3 4 5 6
Term Number
Label the loops: “Divisible by 3” and
Term
6 12 18 24 30 36
“Divisible by 5.” Sort these numbers:
54 85 123 735 1740 3756 6195
b)
1 2 3 4 5 6
Term Number
What is true about the numbers in
Term
5 6 7 8 9 10
the overlapping region?
Dave pays to practise in a music
7.
Use the divisibility rules.
3.
studio. He pays $12 each month,
Find the factors of each number.
plus $2 for each hour he practises.
a) 85
b) 136
c) 270
a) Write a relation for the total cost
Write an algebraic expression for
4.
1.3
for one month, in dollars, when
each statement.
Dave practises t hours.
Let n represent the number.
b) How much will Dave pay to
a) seven more than a number
practise 10 h in one month? 20 h?
b) a number multiplied by eleven
c) How does the relation change
c) a number divided by six
when the cost per hour doubles?
d) three less than four times
Use algebra. Write a relation for
a number
1.5
8.
each Input/Output table.
e) the sum of two and five times
a)
b)
a number
Input
Output
Input
Output
x
x
Predict which expression in each
5.
1.4
1
5
1
7
pair will have the greater value
2
13
2
11
when y is replaced with 8.
3
21
3
15
Evaluate to check your predictions.
4
29
4
19
a) i) y
7
ii) 2y
b) i) 6y
ii) 9
y
y
y
4
c) i)
ii)
4
2
2
d) i) 2y
6
ii) 3y
6
29
Mid-Unit Review
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