Patterns And Relations Worksheet - Grade 7 Page 44

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Use the digits 0 to 9.
1.
Replace the
in 16 21
so that the number is divisible by:
a) 2
b) 3
c) 4
d) 5
e) 6
f) 8
g) 9
h) 10
Find as many answers as you can.
Here are 3 algebraic expressions:
2.
2
3n;
2n
3;
3n
2
Are there any values of n that will produce the same number when
substituted into two or more of the expressions?
Investigate to find out. Show your work.
Jamal joined a video club. The annual membership fee is $25.
3.
The cost of each video rental is an additional $2.
a) Write a relation for the total cost when Jamal rents v videos
in one year.
b) Graph the relation. How much will Jamal pay
when he rents 10 videos? 25 videos?
c) How does the relation change when the cost per video rental
increases by $1?
How much more would Jamal pay to rent 10 videos?
How do you know the answer makes sense?
4. a)
Write an equation for each situation.
b) Solve each equation using tiles. Sketch the tiles you used.
c) Verify each solution.
i) There were 22 students in a Grade 7 class.
Five students went to a track meet.
How many students were left in the class?
ii) Twice the number of dogs in the park is 14.
How many dogs are in the park?
iii) Daphne scored the same number of goals in period one,
period two, and period three this season.
She also scored 4 overtime goals, for a total of 19 goals.
How many goals did she score in each period?
47
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