SIWS Investigation 3.2

SIWS Investigation 3.2

#1 Focus Question: What strategies will work to find a solution that is common between 2 equations and/or expressions?

#2 Vocabulary: Distributive property

• allows us to "pass out" what is directly outside the parenthesis, to EVERYTHING inside

• multiply what is on the outside to EVERYTHING on the inside

Multiple Choice

When we distribute, we see what mathematical symbol every time?

• multiplication sign

• parenthesis

#3 Distribute

• Example

  2(x+5)

• Step 1: pass out

• Step 2: multiply

• Step 3: keep the sign

• 2 times x= 2x

• 2 times 5 =10

• ANSWER: 2x+10

Multiple Choice

Distribute the following: 6(2y+3)

• 12y+18

• 18y+12

• 8y+9

• 6y+18

Open Ended

Distribute the following: 9x(2+10)

#4 Compare

• Example:

• 12+8x and 4(3+2x)

• 12+8x and 4times 3 + 4 times 2x

• Are they equal?

Multiple Choice

Are these expressions equal?

50d+10 and 5(10d+2)

• yes

• no

Multiple Choice

Are these expressions equal?

12+55k-9 and 3k+55

• yes

• no

Multiple Choice

Challenge: Are these expressions equal?

5x(4+7x) and 20x +35x^2

• yes

• no