Simple Math
Simplifying Expressions
Distributive Property
Be Careful!!!
100
2-3
-1
100
Simplify the following: x+2-4-(-3x)
4x+(-2) OR 2[2x+(-1)]
100
Rewrite the expression by implementing the distributive property: 4(x+2)
4x+8
100
Simplify the following: (5x+2)+(2x+1)
7x+3
100
Simplify the following by using the distributive property: -(x+2)
-x+(-2)
200
3+(-4)-2
-3
200
Simplify the following: 3-5-x-6x+7
-7x+5
200
Rewrite the expression by implementing the distributive property: 3(9x-2)
27x+(-6)
200
Simplify the following: (2x-1)+(9x-1)
11x+(-2)
200
We do not like subtraction. How do we change an expression from using subtraction to using addition? (Hint: Think about the integer mat)
You "flip" the pieces to the same playing field. You could also say "subtracting a number is the same as adding the additive inverse."
300
-5+3-(-2)
0
300
Simplify the following: 9+(-7)-x-(-2x)-x
2
300
Rewrite the expression by implementing the distributive property: 3(-x-3)
-3x+(-9)
300
Simplify the following: (x+3)+(2x-3)+[-3x-(-3)]
3
300
Clearly define what a zero pair is in relation to the integer mat.
Same shape, different color. AKA, the shapes are additive inverses
400
-1+3+3-(-3)-(-3)
11
400
Simplify the following: 5+2+x-(-5)-6x
-5x+12
400
Rewrite the expression by implementing the distributive property: 5[-x-(-2)]
-5x+10
400
Simplify the following: (2x+4-3x)+[x-1-(-x)]
x+3
400
Imagine that you have a series of algebra pieces on your integer mat. If the pieces can be combined to form a rectangle, what property can be used to alter the way the expression looks?
The distributive property
500
5-6-7+(-3)-(-9)
-2
500
Simplify the following: 4x-(-4x)-(-4x)-4x
8x
500
Rewrite the expression by implementing the distributive property: -7(x+6)
-7x+(-42)
500
Simplify the following: (8x-2)+[12+(-3x)-(-5x)]
10x+10 OR 10(x+1)
500
Using the following tiles, write a simplified expression. Then, use the distributive property to write the expression a different way. 3x+4+5x-(-3)-2-3x
5x+5 and 5(x+1)
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