Per one
Divide the first quantity by the second to find the rate for a single unit.
Why it works
150 ÷ 5 = 30 per hour.
Ratios · Rates & unit rates · 2.2
Unit rate.
The unit rate is the rate for exactly 1 — miles per ONE hour, dollars per ONE item. Divide the first quantity by the second. 150 miles ÷ 5 hours = 30 miles per hour.
See it work.
Double number line
The two quantities move together.
30 for every 1 — and it stays in step as you scale up.
Watch the method
Unit rate
150 miles ÷ 5 hours = 30 mph.
1
Divide to get “per 1”
Divide the first quantity by the second to find the amount per 1.
2
The unit rate
This is the rate for a single unit.
Practice until it feels automatic.
Your turn
Work it out.
Type a number, e.g. 40.
streak 0
best 0
… =
The idea underneath.
From easy to tricky.
12 units in 6 — what is the unit rate (per 1)?
1
Divide to get “per 1”
Divide the first quantity by the second to find the amount per 1. 12 ÷ 6
2
The unit rate
This is the rate for a single unit. = 2
15 units in 3 — what is the unit rate (per 1)?
1
Divide to get “per 1”
Divide the first quantity by the second to find the amount per 1. 15 ÷ 3
2
The unit rate
This is the rate for a single unit. = 5
20 units in 5 — what is the unit rate (per 1)?
1
Divide to get “per 1”
Divide the first quantity by the second to find the amount per 1. 20 ÷ 5
2
The unit rate
This is the rate for a single unit. = 4
Where students slip.
Trap
Dividing the wrong way.
Fix
Divide the first quantity by the second.
Trap
Forgetting “per 1”.
Fix
The unit rate is for exactly one unit.
Test yourself.
The Test
12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.
0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so
t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).Core
Core (4)
C1
44 units in 4 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
C2
24 units in 4 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
C3
44 units in 4 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
C4
42 units in 7 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
Apply
Apply (4)
A1
35 units in 7 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
A2
36 units in 6 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
A3
40 units in 4 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
A4
10 units in 5 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
Extension
Extension (4)
E1
6 units in 2 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
E2
42 units in 6 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
E3
18 units in 6 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.
E4
32 units in 4 — what is the unit rate (per 1)?
Need a hint?
- Divide the first quantity by the second.
- That is the amount per 1.