Modeling and Solving Equations and Inequalities

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.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

• 7=x+3

• 7=x+(-3)

• 7=-x+3

• -7=x-3

Solve for the missing variable:

• y = 7

• y = 6

• y = 1/6

• y = 8

Solve for the missing variable:

• 21

• 61

• - 20

• 24

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

To solve one-step equations, you have to use the ________________ operation.

• Integer

• Inverse

• Additive

• Subtractive

Solve. 
8j = -16

• -128

• -2

• -24

• -8

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

What equation is modeled?

• 5x = 1

• 3x - 2 =1

• 3 - 2 = 1

• x - 1 = 1

In an equation, you want to get the variable...

• on one side

• to disappear

• by itself

• to sing and dance