
9G (2.11) Distributing
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
Asher Katz
Used 1+ times
FREE Resource
7 Slides • 34 Questions
1
(2.11) Distributing
2
The order doesn't matter!
Just make sure you multiply the 3 with each thing in the parentheses
3
The same is true for a parentheses with three things in it!
The same is true for a parentheses with many things in it!
4
Multiple Choice
5(x+2)
Can you distribute the 5 to each of the thing in the parentheses?
[HINT: multiply the x by 5 and multiply the 2 by 5]
(5⋅x + 5⋅2)
=
(5x +10)
You can't distribute the 5 to each thing in the parentheses.
5
Multiple Choice
3(x+4)
Can you distribute the 3 to each of the thing in the parentheses?
[HINT: multiply the x by 3 and multiply the 4 by 3]
(3⋅x +3⋅4)
=
(3x +12)
You can't distribute the 3 to each thing in the parentheses.
6
Multiple Choice
10(x+5)
Distribute the 10 to each of the things in the parentheses.
[HINT: multiply the x by 10 and multiply the 5 by 10]
10x + 50
10x - 50
10 + 50
x + 50
50x
7
Multiple Choice
2(x−4)
Can you distribute the 2 to each of the thing in the parentheses?
[HINT: multiply the x by 2 and multiply the -4 by 2]
(2⋅x −4⋅2)
=
(2x−8)
You can't distribute the 2 to each thing in the parentheses.
8
Multiple Choice
3(x−6)
Distribute the 3 to each of the things in the parentheses.
3x - 18
3x + 18
x - 18
x + 18
3 - 18
9
Multiple Choice
8(x−3)
Distribute the 3 to each of the things in the parentheses.
10
Multiple Choice
3(4−x)
Can you distribute the 3 to each of the thing in the parentheses?
(3⋅4 −x⋅3)
=
(12−3x)
You can't distribute the 3 to each thing in the parentheses.
11
Multiple Choice
5(5−x)
Can you distribute the 5 to each of the thing in the parentheses?
(5⋅5 −x⋅5)
=
(25−5x)
You can't distribute the 5 to each thing in the parentheses.
12
Multiple Choice
5(−x +5)
Can you distribute the 5 to each of the thing in the parentheses?
(−x⋅5 +5⋅5)
=
(−5x+25)
You can't distribute the 5 to each thing in the parentheses.
13
Multiple Choice
3(−x −4)
Can you distribute the 3 to each of the thing in the parentheses?
-3x - 12
3x - 12
3x + 12
-3x + 12
-x - 12
14
Multiple Choice
−3(−x −4)
Can you distribute the -3 to each of the thing in the parentheses?
-3x - 12
3x - 12
3x + 12
-3x + 12
-x - 12
15
bigger than two terms
16
Multiple Choice
3(x+y +5)
Can you distribute the 3 to each of the thing in the parentheses?
(3⋅x +3⋅y + 3⋅5)
=
(3x+3y+15)
You can't distribute the 3 to each thing in the parentheses.
17
Multiple Choice
3(x+z +2)
Can you distribute the 3 to each of the thing in the parentheses?
(3⋅x +3⋅z + 3⋅2)
=
(3x+3z+6)
You can't distribute the 3 to each thing in the parentheses.
18
Multiple Choice
3(x−z +6)
Can you distribute the 3 to each of the thing in the parentheses?
3x - 3z + 18
3x + 3z + 18
3x - 3z - 18
-3x - 3z - 18
- 3xz - 18
19
distributing a variable
20
Multiple Choice
x(x+2)
Can you distribute the x to each of the thing in the parentheses?
(x⋅x + x⋅2)
=
(x2+2x)
You can't distribute the x to each thing in the parentheses.
21
Multiple Choice
x(x+6)
Can you distribute the x to each of the thing in the parentheses?
(x⋅x + x⋅6)
=
(x2+6x)
You can't distribute the x to each thing in the parentheses.
22
Multiple Choice
x(x+6)
Distribute the x to each of the things in the parentheses.
x2 + 36
x2 + 6x
x2 - 6x
x2 - 36
6x - x2
23
more complicated terms
24
Multiple Choice
3(2x+6)
Can you distribute the 3 to each of the thing in the parentheses?
(3⋅2⋅x + 3⋅6)
=
(6x+18)
You can't distribute the 3 to each thing in the parentheses.
25
Multiple Choice
2(3x+4)
Can you distribute the 2 to each of the thing in the parentheses?
(2⋅3⋅x + 2⋅4)
=
(6x+8)
You can't distribute the 2 to each thing in the parentheses.
26
Multiple Choice
5(2x+4)
Distribute the 5 to each of the thing in the parentheses.
27
Multiple Choice
2(6x−6)
Distribute the 2 to each of the thing in the parentheses.
28
Multiple Choice
2x(3x+5)
Can you distribute the 2x to each of the thing in the parentheses?
(3⋅x⋅2⋅x + 5⋅2⋅x)
=
(3⋅2⋅x⋅x+5⋅2⋅x)
=
(6x2+10x)
You can't distribute the 2x to each thing in the parentheses.
29
Multiple Choice
5x(2x+7)
Distribute the 2x to each of the things in the parentheses.
10x2 + 42x
10x2 + 28x
10x2 + 21x
10x2 + 35x
10x2 + 14x
30
Multiple Choice
2x(3x+9)
Distribute the 2x to each of the things in the parentheses.
6x2 + 18x
6x2 + 9x
6x2 - 9x
6x2 + 27x
6x2 - 18x
31
Multiple Choice
2x(4x+6)
Distribute the 2x to each of the things in the parentheses.
8x2 + 12x
8x2 - 6
8x2 - 12x
8x2 + 4x
8x2 + 6
32
Multiple Choice
3x(3x−4)
Can you distribute the 3x to each of the things in the parentheses?
(3⋅x⋅3⋅x −4⋅3⋅x)
=
(3⋅3⋅x⋅x −4⋅3⋅x)
=
(9x2−12x)
You can't distribute the 3x to each thing in the parentheses.
33
Multiple Choice
2x(4x−5)
Distribute the 3x to each of the things in the parentheses.
12x2 - 15x
6x2 + 15x
12x2 + 15x
6x2 - 15x
12x2 + 5x
34
Multiple Choice
7x(4x−3)
Distribute the 7x to each of the things in the parentheses.
28x2 - 21
28x2 + 21x
28x2 - 21x
28x2 + 3x
28x2 - 3x
35
Multiple Choice
−3x(5x−9)
Distribute the -3x to each of the things in the parentheses.
15x2 + 27x
-15x2 + 27x
15x2 - 27x
-15x2 - 27x
-15x2 + 18x
36
Multiple Choice
−2x(4x−6)
Distribute the -2x to each of the things in the parentheses.
2x2 - 3x
-8x2 - 12x
-8x2 + 6x
-8x2 + 12x
8x2 - 12x
37
Multiple Choice
2x(3x2−4x+5)
Can you distribute the 2x to each of the things in the parentheses?
(2x⋅3x2 +2x⋅4x+2x⋅5)
=
(3⋅2⋅x⋅x⋅x +4⋅2⋅x⋅x+5⋅2⋅x)
=
(6x3+8x2+10x)
You can't distribute the 2x to each thing in the parentheses.
38
Multiple Choice
2x(5x2−4x+3)
Distribute the 2x to each of the things in the parentheses.
10x3 - 2x2 + 6x2
10x3 - 4x2 + 6x
10x3 - 8x2 + 3x
10x3 - 8x2 + 6x
10x3 - 8x2 - 6x
39
Multiple Choice
2x(x3+x2+x+1)
Distribute the 2x to each of the things in the parentheses.
2x4 + 2x3 + 2x2
2x4 + 2x2
2x2 + 2x3 + 2x2 + 2x
2x3 + 2x2 + 2x
2x4 + 2x3 + 2x2 + 2
40
Multiple Choice
0(−2x4+6x3+8x2−7x+10)
Distribute the 0 to each of the things in the parentheses.
-4x5 + 12x4 + 16x3 - 14x2 + 20x
-4x5 + 12x4 + 16x3 - 14x2 - 20x
-4x5 - 12x4 + 16x3 - 14x2 - 20x
0
4x5 + 12x4 + 16x3 + 14x2 + 20x
41
NEXT,
we'll talk about FOILing
AKA distributing two numbers
(2.11) Distributing
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