Balancing Linear Equations

What are the operations to build

 $\frac{x+3}{7}$  ?

• add 3 to x and then divide by 7

• subtract 3 from x and then divide by 7

• divide x by 7 and then add 3

• multiply x by 7 and then subtract 3

Tags

CCSS.6.EE.A.2A

For the equation in the flowchart, the solution is:

• $6x\ -\ 5\ =\ 37$

• $x\ =\ 37$

• $x=\ 42$

• $x\ =\ 7$

Tags

CCSS.7.EE.B.4A

What is the solution to

 $3x+7=2x+9$  ?

•  $x=16$  

•  $x=2$  

•  $x=\frac{16}{5}$  

•  $x=-2$  

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the following equation using the balance method

 $6x+2=26$  

•  $x=144$  

•  $x=4.67$  

•  $x=4$  

•  $x=-4$  

Tags

CCSS.7.EE.B.4A

Solve the following equation using the balance method

 $5\left(x-12\right)=35$  

•  $x=187$  

•  $x=19$  

•  $x=-5$  

•  $x=163$  

Tags

CCSS.7.EE.B.4A

Solve the following equation using the balance method

 $-3x+6=15$  

•  $x=-27$  

•  $x=-7$  

•  $x=3$  

•  $x=-3$  

Tags

CCSS.7.EE.B.4A

Solve the following equation using the balance method

 $\frac{x+8}{4}=3$  

•  $x=4$  

•  $x=20$  

•  $x=-4$  

•  $x=-7.25$  

Tags

CCSS.7.EE.B.4A

Solve the following equation using the balance method

 $5x+6=3x-4$  

•  $x=5$  

•  $x=-5$  

•  $x=-1.25$  

•  $x=-20$  

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

Solve the following equation using the balance method

 $8x+5=7x+7$  

•  $x=12$  

•  $x=\frac{2}{15}$  

•  $x=-2$  

•  $x=2$  

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve the following equation using the balance method

 $5x+4=-x-2$ 

•  $x=1$ 

•  $x=-1$ 

•  $x=\frac{2}{6}$ 

•  $x=4$ 

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7