2-Step Equations

2-Step Equations

by Rupert Cox

Essential Understanding

• you are solving by forming equivalent equations.

• a 2-step equation involves two operations to undo

• you will undo the operations in reverse order

Fill in the Blanks

Solve

$5=\frac{t}{2}-3$  

Solving With Two Terms In the Numerator

When on side of an equation is a fraction with more than one term in the numerator, you can still undo division by multiplying each side by the denominator.

​Example

Poll

Can you solve the equation by adding 3 before multiplying by 5?

$$\frac{d-3}{5}=6$$  

• Yes

• No

Using an equation as a model

• What do you know?

• What do you need?

• What's my plan?

• Write and solve an equation.

Multiple Choice

Which equation would represent this problem the best.

The junior class is selling granola bars to raise money. They purchased 1250 granola bars and paid a delivery fee of $25. The total cost including the delivery fee, was $800. What was the cost of each granola bar?

• 1250g + 25 = 800

• 1250g = 800 - 25

• 800g + 25 = 12500

Multiple Choice

7 + ^a⁄₃ = 5

• a= -2
• a= -6
• a= 3
• a= 15

Multiple Choice

x/5 - 13 = 20

• 145
• 165
• 180
• 190

Multiple Choice

20 = 2 - a

• a= 18
• a= -18
• a= -10
• a= 12

Multiple Choice

$$3=\frac{-8+n}{3}$$  

• n=17

• n=1

• n=33

Poll

Do you feel like to you are understanding this lesson?

• Yes

• No

• Maybe with practice

• I need help ASAP