2.1_Describing Patterns with Variables

What is an instance to this pattern:

7.18 + y = 2 + y + 5.18

• 3.18 + y = 2 + y + 1.18

• 7.18 + 6 = 2 + 6 + 5.18

• 7.18 + 10 = 10 + 5.18

Tags

CCSS.6.EE.B.5

Which algebraic expression represents this pattern?

 $9\cdot28\ =\ 4\cdot28+5\cdot28$  

 $9\cdot\frac{2}{7}\ =\ 4\cdot\frac{2}{7}+5\cdot\frac{2}{7}$  

• 
  

   $9\cdot x\ =\ 4\cdot x+5\cdot x$  

•  $9\cdot x\ =\ 4+5\cdot x$  

•  $\frac{2}{7}\cdot x\ =\ \frac{2}{7}\cdot x+\frac{2}{7}\cdot x$  

Tags

CCSS.6.EE.B.6

 $4+\frac{x}{3}=\frac{12+x}{3}$  

Identify an instance to this pattern.

•  $5+\frac{x}{3}=\frac{15+x}{3}$  

•  $4+\frac{2}{3}=\frac{12+2}{3}$  

•  $3+\frac{x}{2}=\frac{12+x}{2}$  

•  $4+\frac{4}{3}=\frac{12+10}{3}$  

Tags

CCSS.7.EE.B.4A

Which algebraic expression represents this pattern?

 $14\%\cdot0=0$  
 $2\cdot0=0$  
 $\frac{2}{3}\cdot0=0$  

•  $x\cdot a=a$  

•  $\%\cdot0=0$  

•  $a\cdot0=0$  

Tags

CCSS.HSA.REI.A.1

c cows have 4c legs

4 cows have _ legs

Tags

CCSS.6.EE.B.6

c cows have 4c legs

_ cows have 40 legs

Tags

CCSS.6.EE.B.7

Three instances of a pattern are given. Describe the pattern using variables.

One octopus has 8 tentacles.

Two octopuses have 2x8 tentacles

Three octopuses have 3x8 tentacles

x octopuses have _x tentacles

Tags

CCSS.HSF.BF.A.2

Tags

CCSS.HSF-LE.A.1B