Patterns And Relations Worksheet - Grade 7 Page 38
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46There are 3 x-tiles.
Arrange the tiles remaining on each side into 3 equal groups.
One x-tile equals 4 unit tiles.
So, x
4
c) To verify the solution, replace x with 4 yellow tiles.
Left side:
14 yellow tiles
Right side:
14 yellow tiles
Since the left side and right side have equal numbers of tiles,
the solution x
4 is correct.
Use tiles to solve each equation.
Draw pictures to represent the steps you took to solve each equation.
1.
a) x
6
13
b) 4
x
12
c) 11
x
7
d) 2x
16
e) 18
3x
f) 4x
12
Seven more than a number is 12.
2.
a) Write an equation for this sentence.
b) Solve the equation. Verify the solution.
For each equation in question 1, identify a constant term,
3.
the numerical coefficient, and the variable.
41
1.8 Solving Equations Using Algebra Tiles
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