Two-Step Equations

What is the goal when solving equations?

• guess and check

• Get the Variable by Itself

• combine like terms

• Figure it out

 $9\ =\ 2x\ -5$  

• x = 9.5

• x = 7

• x = 2

• x = 8

 $\frac{x}{3}-4\ =\ 10$  

• x = 2

• x = 34

• x = 18

• x = 42

 $\frac{x-2}{5}=5$  What would be the first step for solving the equation?

• add 2 to both sides

• subtract 2 to both sides

• Multiply 5 to both sides

• Divide both sides by 5

 $2\left(x+5\right)\ =\ 12$  Which is the correct order of steps for solving the equation?

• Divide by 2, then subtract 5

• Multiply by 2, then add 5

• Add 5, then multiply by 5

• Subtract by 5, then divide 2

 $\frac{x\ +1}{3}\ =\ 4$  

Solve the equation.

• x = 1

• x = 11

• x = 7/3

• x = 13

 $6\ -\ 3x\ =\ 24$  

Solve.

• x = 10

• x = -10

• x = 6

• x = -6

 $5\ =\ 5\ +\ 2x$  Solve.

• x = 0

• x = 0.5

• x = 5

• x = 20

 $6\ =\ \frac{x+4}{-2}$  Solve.

• x = 8

• x = -7

• x = -16

• x = -4

 $3\ =\ 9\ -\ \frac{x}{3}$  

Solve.

• x = -18

• x = -36

• x = -4

• x = 4