Model and Solve Equations

Write the equation for the model.

• 2x + 3 = x + 1

• 2x + 1 = x + 3

• 2x - 1 = x - 3

Write the equation for the model.

• 3n - 6 = -n + 4

• 3n + 4 = -n - 6

• 3n + 4n = -n - 6n

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

• Subtract 7 from both sides. The solution is x = 5.

• Add 7 to both sides.
  The solution is x = 19.

• Multiply both sides by 7 The solution is x = 84.

Solve for x:
-4x = 44

• x = 48

• x = -11

• x = 40

• x = -176

There were 39 bales of hay in the barn. Jason stacked more bales in the barn today. There are now 95 bales of hay in the barn. Write an equation that could be used to find how many bales did he stored in the barn.

• x + 39 = 95

• 39 + 95 = x

• x + 95 = 39

• 39x = 95

y + 6 = 20

• y = 22

• y = 13

• y = 14

• y = 16

x - 10 = 12

• 22

• -22

• 2

• -2

12 + z = 15

• -3

• 3

• -27

• 27

2 + n =16

• 18

• -18

• 14

• -14

a + 4 = 14

• -10

• 10

• -18

• 18