Transcript One-Step Addition and Subtraction Equations

Multiplication and Division
Equations
(Day 1 Multiplication Equations)
We are learning to…use inverse operations
to solve for a variable in an equation.
Saturday, March 26, 2016
Find the following Algebra Tiles…
Trace each of these Algebra Tiles on your notes.
Name each tile by its area.
The red side of each
tile represents… one
negative unit!
1 unit
x units
1 unit
y units
Area/Name:
The other (“nonred”) side of the tile
represents… one
positive unit!
“1 UNIT TILE”
1 unit
Area/Name:
“X TILE”
1 unit
Area/Name:
“Y UNIT TILE”
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
3x  6
=
Record your steps
mathematically:
3x  6
3x 6

3 3
x2
Check your Solution:
3  2  6
66
Example #2
2y  8
=
Record your steps
mathematically:
2y  8
2y 8

2 2
y4
Check your Solution:
2  4  8
88
Example #3
4  4x
Record your steps
mathematically:
4  4x
4 4 x

4
4
=
1  x
Check your Solution:
4  4  1
4  4
Example #4
2 y  10
y
y
=
Record your steps
mathematically:
2 y  10
2 y 10

2
2
 y  5
y5
Check your Solution:
2  5  10
10  10
Example #5
3x  9
x
3x  9
3 x 9

3
3
x
x
Record your steps
mathematically:
=
x  3
x  3
Check your Solution:
3  3  9
99
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.
Saturday, March 26, 2016
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
x
3
2
Record your steps
mathematically:
x
3
2
x
 2  3 2
2
1/ x
2
x
1/ x
2
=
x6
Check your Solution:
6
3
2
33
Example #2
y
 4
3
Record your steps
mathematically:
y
 4
3
y
 3  4  3
3
1/ y
3
y
1/ y
3
1/ y
3
=
y  12
Check your Solution:
12
 4
3
4  4
Example #3
x
2
5
Record your steps
mathematically:
x
2
5
x
 5  2  5
5
1/ x
5
x
-x
1/ x
5
1/ x
5
1/ x
5
1/ x
5
=
 x  10
x  10
Check your Solution:
10
2
5
22
y
1 
4
Example #4
Record your steps
mathematically:
y
1 
4
1/ y
4
=
1/ y
4
-y
y
1/ y
4
1/ y
4
y
1 4  
 4
4
4   y
4 y
Check your Solution:
4
1 
4
1  1
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.