One-step and Two-step Equations

What is a 1-step problem?

• A problem where multiple operations are present.
• A problem where the variable is missing.
• An equation where only one step is needed to solve it.
• An equation where two steps are needed to solve it.

What is a 2-step problem?

• An equation where 2 steps are needed to solve it.
• An equation where only one step is needed to solve it.
• A problem with only one operation present.
• A problem where you find the square-root of a number.

What what is the inverse operation of subtraction?

• addition
• subtraction
• multiplication
• division

What is the inverse operation of division?

• Division
• Multiplication
• Addition
• Subtraction

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

• Add 62 to each side.

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

 $x+7=12$  

In the equation above, 7 is being added to the variable, x. How should you show your work to isolate the variable (get the variable alone) 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.

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

• Divide both sides by 11
• Multiply both sides by 11.
• Add 11 to both sides.
• Subtract 11 to both sides.

Solve for j:

 $j+5=-11$  

•  $-16$ 
  

•  $-6$  

•  $16$  

•  $6$  

Solve for m:

 $m-7=-10$  

•  $-3$  

•  $3$  

•  $17$  

•  $-17$  

Solve for b:

 $-2b=-14$  

•  $7$  

•  $-7$  

•  $28$  

•  $-28$