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.