Two- Step Equations

Solving Two- Step Equations

Multiple Select

Which two operations are in this equation?

 $5x+4=-16$  

• addition

• subtraction

• multiplication

• division

Step One

The first step is to UNDO the addition or subtraction using inverse operations

Multiple Choice

Which equation shows the results of undoing the addition in the equation?

 $5x+4=-16$  

•  $5x\ =\ 12$  

•  $5x\ =\ -20$  

•  $4x\ =\ 11$  

•  $4x\ =\ -21$  

Step Two

The second step is to UNDO the multiplication or division using inverse operations

Multiple Choice

Which equation shows the results of undoing the multiplication in the equation?

 

 $5x=-20$  

•  $x=4$  

•  $x=25$  

•  $x=-15$  

•  $x=-4$  

Solve

 $-2y-7=3$  

• Undo the subtraction (Add 7 to BOTH sides)

•  $-2y=10$  

• Undo the multiplication (Divide by -2 on BOTH sides)

•  $y=-5$  

Check

 $-2y-7=3$  

• Start with the original equation

•  $-2y\ -7=3$  

• Substitute the value (solution) for the variable 

•  $-2\left(-5\right)-7=3$  

• Use order of operations to simplify

•  $10-7\ =\ 3$  

•  $3=3$  

Open Ended

What is the first step to solve this equation?

 $2x+3\ =\ 9$  

Multiple Choice

What is the first step to solve this equation:

11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Multiple Choice

What is the first step to solve this equation?

3k + 5 = 23

• Multiply both sides by 3

• Subtract both sides by 3

• Divide both sides by 3

• Subtract both sides by 5

Multiple Choice

What is the second step to solve this equation?

3k + 5 = 23

• Multiply both sides by 3

• Subtract both sides by 3

• Divide both sides by 3

• Subtract both sides by 5

Multiple Choice

The steps in solving 5b - 6 = 24 are:

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5