Patterns And Relations Worksheet - Grade 7 Page 37
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46The tiles show the solution is x
5.
To verify the solution, replace x with 5 yellow tiles.
Left side:
7 yellow tiles
Right side:
7 yellow tiles
Since the left side and right side have equal numbers of tiles,
the solution x
5 is correct.
Owen had 5 cars at the start.
Example
Two more than three times a number is 14.
a) Write an equation you can solve to find the number.
b) Use tiles to solve the equation.
c) Verify the solution.
A Solution
a) Two more than three times a number is 14.
Let x represent the number.
Three times x: 3x
Two more than 3x: 3x
2
The equation is: 3x
2
14
b) 3x
2
14
Remove 2 unit tiles from each side to isolate the x-tiles.
40
UNIT 1: Patterns and Relations
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