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Multiplication and Division Equations (Day 1 Multiplication Equations)
We are learning to…use inverse operations to solve for a variable in an equation.
Wednesday, April 19, 2023
Find the following Algebra Tiles…
Trace each of these Algebra Tiles on your notes.
1 unitx units
Area/Name:
“1 UNIT TILE”
1 unitArea/Name:
“X TILE”Area/Name:
“Y UNIT TILE”
y units
1 unit
Name each tile by its area.
1 unit
The red side of each tile represents… one negative unit!
The other (“non-red”) side of the tile represents… one positive unit!
Multiplication and Division Equations
The variables, x and y, represent missing values in our equations today.
Our job is to find the value of the variable by isolating the variable on one side of the equation.
Example #1
3 6x
=
Record your steps
mathematically:3 6x 3 6
3 3
x
2x Check your Solution:
3 2 66 6
Example #2
2 8y
=
Record your steps
mathematically:2 8y 2 8
2 2
y
4y Check your Solution:
2 4 88 8
Example #3
4 4x
=
Record your steps
mathematically:4 4x 4 4
4 4
x
1 x Check your Solution:
4 4 1 4 4
Example #4
2 10y
=yy
Record your steps
mathematically:2 10y 2 10
2 2
y
5y Check your Solution:
2 5 10 10 10
yy
5y
Example #5
3 9x
=
Record your steps
mathematically:3 9x 3 9
3 3
x
3x Check your Solution:
3 3 9 9 9
3x xx
xx
xx
Team Practice
With your team:1. Set up each equation on your Equation Mat
using your set of Algebra Tiles.2. Draw what you see on your Equation Mat
as you solve each equation.3. Record your equation solving steps
mathematically.4. Check your solutions by using substitution.
One-Step Multiplication and Division Equations (Day 2 Division Equations)
We are learning to…use inverse operations to solve for a variable in an equation.
Wednesday, April 19, 2023
Multiplication and Division Equations
The variables, x and y, represent missing values in our equations today.
Our job is to find the value of the variable by isolating the variable on one side of the equation.
Example #1 32
x
=
Record your steps mathematically:
32
x
2 3 22
x
6x Check your Solution:
63
2
3 3
1/2x1/2x
1/2x1/2x
x
Example #24
3
y
=1/3y1/3y
Record your steps
mathematically:4
3
y
3 4 33
y
12y Check your Solution:
124
3
4 4
1/3y1/3y
1/3y1/3y
y
Example #3 25
x
=
Record your steps mathematically:
25
x
5 2 55
x
10x
Check your Solution:10
25
2 2
1/5x1/5x
-x1/5x1/5x
1/5x1/5x
1/5x1/5x
1/5x1/5x
10x x
Example #41
4
y
=
1/4y1/4y
Record your steps
mathematically:14
y
1 4 44
y
4 yCheck your Solution:
41
4
1 1
-y1/4y1/4y
1/4y1/4y
1/4y1/4y
4 y y
Team Practice
With your team:1. Set up each equation on your Equation Mat
using your set of Algebra Tiles.2. Draw what you see on your Equation Mat
as you solve each equation.3. Record your equation solving steps
mathematically.4. Check your solutions by using substitution.