Expanding Expressions with Integers

Presentation

•

Mathematics

•

7th Grade

•

Medium

•

CCSS

6.EE.A.3

Standards-aligned

Katie Lester

Used 11+ times

FREE Resource

4 Slides • 3 Questions

Expanding Expressions with Integers

This is a lesson introducing the Distributive Property.

$4\left(4a-3\right)$

When a number or variable is up next to another variable or a parenthesis without a space, that means you need to multiply.
-4 is how many groups you need of everything in parenthesis.
Terms to multiply by -4= 4a and -3
Distributive Property is when you multiply everything on the outside of the parenthesis by everything on the inside of the paranthesis.

This means that you want

4 sets of (4a-3)

$4a-3$
+
$4a-3$
+
$4a-3$
+
$4a\ -3$

equals

16a\ -12

$4\left(4a-3\right)$

Instead of drawing them out we can multiply instead.

Distribute (multiply) the -4 to the 4a and the -3. $4\left(4a\right)\ +\ 4\left(-3\right)$
Final Answer: $16a\ -\ 12$

Multiple Choice

4(2z+3y)

6z+7y

6y+7z

8z+12y

8y+12z

Multiple Choice

7(c+4)

7c+11

11c+7

28c+7

7c+28

Multiple Choice

-3(2c-4)

-6c+12

12c-6

c+12

12c+6

Expanding Expressions with Integers

This is a lesson introducing the Distributive Property.

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