Solving one and two-step equations

Solving One and Two-Step Equations

Solve.

u − 9 = 5

u − 9 + 9 = 5 + 9 (Add 9 to both sides)

u = 14 (Simplify)

To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.

Solve.

17 = z + 2

17 − 2 = z + 2 − 2 (Subtract 2 from both sides)

15 = z (Simplify)

To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.

Multiple Choice

Solve for b.

b − 6 = 7

• b = 1

• b = 42

• b = 13

Solve.

b − 6 = 7

b − 6 + 6 = 7 + 6 (Add 6 to both sides)

b = 13 (Simplify)

To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.

Multiple Choice

 Solve for n.

 $\frac{n}{4}$   − 3 = 2

• n = 20

• n = 5

• n = 9

Solve.

 $\frac{n}{4}$  − 3 = 2

 $\frac{n}{4}$   − 3 + 3 = 2 + 3 (Add 3 to both sides)

 $\frac{n}{4}$   = 5 (Simplify)

 $\frac{n}{4}$   · 4 = 5 · 4 (Multiply both sides by 4)

n = 20 (Simplify)

Poll

 $\frac{35}{u}$ = 5

Solve for u: 

• 7

• 40

 $\frac{35}{u}=5$  

 $u\times35=5\times u$  or  $35=5u$  


 $\frac{35}{5}=u$  ......?

Multiple Choice

Solve for b.

5b − 11 = 9

• $b=4$

• $b=12$

To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.

5b − 11 = 9
5b − 11 + 11 = 9 + 11 (Add 11 to both sides)
5b = 20 (Simplify)
 $\frac{5b}{5}=\frac{20}{5}$   (Divide both sides by 5)
b = 4 (Simplify)