Title: Integers
1Table of Contents
- Practicing with Distributive Property
- Using the Add the Opposite First
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2All of it together
Derek, Malachi, Jocelyn says
3Two - Step Equations
Jocelyn says
4On two-step equations the goal is still to get
the variable by itself. To do this we need to
Step 1 Distributive property. Step 2 Gather
like terms. Step 3 Reverse adding and
subtracting first to get all numbers to one side
and variables to the other. Step 4 Now we can
reverse any multiplication and division.
Derek says
56x 11 13
11 11
6x 24
6
6
x 4
61.25t 2 6
- 2 -2
1.25t 4
1.25
1.25
x 3.2
7Gather Like Terms
8x 3x 3 13
5x 3 13
-3 -3
5x 10
5
5
x 2
8Gather Like Terms
5x - 3x 2 -16
2x 2 -16
-2 -2
2x -18
2
2
x -9
9Gather Like Terms
3x - x 12 8
2x 12 8
- 12 -12
2x - 4
2
2
x -2
10Gather Like Terms
46 4x 4 6x
46 10x - 4
Jacob says
4 4
50 10x
10
10
5 x
11Gather Like Terms
0 3x 6x - 24
0 -3x - 24
24 24
24 -3x
-3
-3
-8 x
121
-
X 3 -6
8
- 3 -3
Reciprocals
-8
1
-8
X -9
1
8
-
1
X 72
131
X - 3 -2
5
3 3
Reciprocals
5
1
5
X 1
1
5
1
X 5
141
-
X 27 39
3
- 27 -27
Reciprocals
-3
1
-3
X 12
1
3
-
1
X -36
152
1
X - X 12
3
3
Reciprocals Like Terms
3
1
3
X 12
1
3
1
X 36
16Like Terms
2
1
X X 12
3
3
X 12
17Like Terms
2
1
2
X X 12
3
3
3X 12
3
3
X 4
18Distributive Property
1
24 (x 8)
4
1
1
24 x 8
4
4
Matt says
1
24 x 2
4
2 2
1
26 x
4
4
4
104 x
19Distributive Property
24 3 (4x 2)
24 12x 6
6 6
30 12x
12
12
5/2 x
20Distributive Property
-18 -3(2x 2)
Matt says
-18 -6x 6
- 6 - 6
-24 -6x
-6
-6
4 x
21 Wil says.
With variables and numbers on both sides of the
equation, do distributive property first if
needed. Then gather like terms. Next, move
variables to one side and numbers to the other.
Then work like a one step equation.
22Add-Opp first!!
x - -3 2 2x
x 3 2 2x
-x -x
Moving variables right
3 2 x
-2 -2
Moving numbers left
1 x
23 -5 3X X - -3
-5 3X X 3
- X -X
-5 2X 3
5 5
2X 8
2 2
X 4
24 X 5 -3 2X
2X 2X
3X 5 -3
5 5
3X 2
3 3
X 2/3
25 3X -8 2X
X X
- 3 -8 3X
8 8
5 3x
3 3
5/3 x
263.56x 4.78 2.69(1.2x 4.18)
3.56x 4.78 3.228x 11.2442
-3.228x -3.228x
0.332x 4.78 - 11.2442
- 4.78 - 4.78
0.332x -16.0242
0.332 0.332
KJ says
274.65 0.15(9.85x 3.70)
4.65 1.4775x 0.555
-0.555 - 0.555
4.095 1.4775x
1.4775 1.4775
28Sarah says
3.14x 17.5 9.77x 24.1
-3.14x -3.14x
What do these bars mean?
17.5 6.63x 24.1
-24.1 -24.1
-6.6 6.63x
6.63 6.63
Division!
29What are the steps to solving a multi-step
equation?
Distributive Property if there
Gather like terms if any
Reverse any addition or subtraction (Remember
Can be variables on both sides.)
Reverse any multiplication or division.
30- Mini Quiz
- 32 2x 3x 8 5. 16 -x 15
- x x 5 7 6. 16 (y 9)
- - x 3 -6 7. 14n 3(n 5) 117
- n 11 4 8. 6(3 2y) 5y - 3
Brianna