Simple Math

Simple Math

Simplifying Expressions

Distributive Property

Adding Expressions

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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