0 xp Sign in
Unit 2 · Lesson 2 Paychecks and taxes

"A raise will push me into a higher bracket." Is that bad?

Your campus job pays $650 every other week, and your pay stub showed just $3.08 of federal income tax. Now you're looking ahead. Your first full-time offer after college pays $55,000 a year. Your friend Maya just turned down a raise because she heard it would "put her in the 22% bracket" and she'd take home less. Was she right? This lesson shows exactly how income tax is figured, so you'll never fall for that myth.

What

Tax brackets split your income into layers. Each layer is taxed at its own rate, starting at 10%.

Why

Knowing how brackets work lets you compare job offers, judge a raise, and fill out your W-4 so April has no surprises.

How

Subtract the standard deduction, fill each bracket in order, add up the tax from each one.

Who

Tax preparers and CPAs do this all day. Payroll specialists use your W-4 to set your withholding. The IRS collects it.

10% 12% 22% 24% each bucket fills before the next

What you're looking at: a sketch of how tax brackets work. Your income is the water. It fills the 10% bucket first, then spills into 12%, then 22%. Each bucket's dollars are taxed at that bucket's rate only.

01 See it

Income tax is taxed in layers.

Three ideas explain every income tax bill in the U.S.: the part that isn't taxed, the brackets, and the two "rates" people mix up. We'll use your $55,000 offer for all of them.

Step 1: the part that isn't taxed

You met the standard deduction in the last lesson: the first $16,100 a single person earns in 2026 isn't taxed. What's left after you subtract it is your taxable income. That's the only number brackets care about.

In this example
Gross income
Your offer: $55,000 a year.
Standard deduction
$16,100 is never taxed.
Taxable income
$55,000 − $16,100 = $38,900.

Step 2: brackets fill in order

A tax bracket is a range of taxable income with its own rate. Think of each one as a bucket. Your dollars fill the 10% bucket first. Only once it's full do new dollars spill into the 12% bucket, and so on. Here are the 2026 buckets for a single person:

RateTaxable income in this bucketBucket size
10%$0 to $12,400$12,400
12%$12,400 to $50,400$38,000
22%$50,400 to $105,700$55,300
24%$105,700 to $201,775$96,075
32 to 37%above $201,775three more buckets
In this example
10% bucket
The first $12,400 of your $38,900 fills it: 10% × $12,400 = $1,240.
12% bucket
The rest spills in: $38,900 − $12,400 = $26,500. 12% × $26,500 = $3,180.
Your tax
$1,240 + $3,180 = $4,420 for the year. Nothing reached the 22% bucket.

What you're looking at: a federal income tax calculator for a single person in 2026, using the real IRS brackets and the $16,100 standard deduction. The gray bucket is the untaxed part; each colored bucket fills before the next. The height of the water shows how full each bucket is. It leaves out Social Security, Medicare and state tax.

Step 3: two different "rates"

Your marginal tax rate is the rate on your next dollar: the rate of the highest bucket your income reaches. Your effective tax rate is the share of your whole income that goes to income tax: your total tax divided by your gross income. When people say "I'm in the 12% bracket," they mean their marginal rate.

In this example
Marginal rate
Your last dollar landed in the 12% bucket, so your marginal rate is 12%. One more dollar earned costs 12 cents of income tax.
Effective rate
$4,420$55,000 = 0.080, about 8.0% of your pay.

So, should Maya take the raise?

Yes. A higher bracket only taxes the dollars inside it. The dollars already sitting in the lower buckets keep their lower rates, so a raise can never shrink your take-home pay.

In this example
Before
Maya earns $66,500. Taxable: $66,500 − $16,100 = $50,400, exactly the top of the 12% bucket. Tax: $1,240 + 12% × $38,000 = $5,800.
After a $3,500 raise
Taxable: $53,900. Only the $3,500 above $50,400 lands in the 22% bucket: 22% × $3,500 = $770 more tax.
What she keeps
$3,500 − $770 = $2,730 more a year (before Social Security and Medicare). Turning it down cost her $2,730.

The W-4: telling your employer what to withhold

Your employer can't know your whole year, so you tell them on a W-4, the form you fill out on your first day. It has five steps. With one job and no kids, you only fill in Steps 1 and 5.

  1. Step 1: your info and filing status. Name, Social Security number, and single or married. Single people get the $16,100 standard deduction; married couples filing together get $32,200.
  2. Step 2: more than one job. Check the box if you have two jobs (or a working spouse). Otherwise each employer thinks it's your only job and gives you the full standard deduction twice.
  3. Step 3: dependents. Children or relatives you support lower your tax.
  4. Step 4: other changes. Extra income, extra deductions, or an extra amount to withhold from every check.
  5. Step 5: sign. The form isn't valid without it.

At the end of the year you compare what was withheld with what you really owed. If more was withheld, you get a tax refund: your own money coming back, not a bonus. If less was withheld, you owe the difference by Tax Day, April 15, and owing $1,000 or more can add a small penalty.

In this example
Refund
You only worked the campus job for half the year: 13 checks × $650 = $8,450. That's under $16,100, so you owe $0. But each check withheld $3.08, as if you'd work all year: 13 × $3.08 = $40.04 comes back as a refund.
Owe
You add a second job at $500 every other week and leave Step 2 blank. Job 2 thinks $13,000 a year is all you make, so it withholds $0. Your real tax on $29,900: taxable $13,800, so $1,240 + 12% × $1,400 = $1,408. Only $80.08 was withheld, so you owe $1,327.92 in April.

Where your federal taxes go

Income tax is the government's biggest source of money: about half of everything it collects. Here's how the federal government spent each $100 in the 2025 budget year.

What you're looking at: real data, rounded. The bar is $100 of federal spending in fiscal year 2025 (about $7.0 trillion in total), split by where it went. "Health" includes Medicare and Medicaid. "Everything else" covers things like roads, schools, food aid, science and veterans. The government spent more than it collected, which is why interest on borrowed money is its own slice.

02 Hear it

Two minutes. Just listen.

Tap any line to jump to it.

03 Play it

Pour the paycheck.

Six rounds. In the first four, a salary pours into the buckets: tap the bucket where its last dollar lands. In the last two, you read a W-4 story and call it: refund, owe, or about even. One try each.

Round 1 of 6Where does the last dollar land?
Right0 of 0

What you're looking at: made-up salaries for a single person, taxed with the real 2026 brackets and $16,100 standard deduction. "Untaxed" is the standard deduction.

04 Break it down

The logic, step by step.

Four calculations take you from a salary to your tax bill and your two rates.

Step 1: Taxable income

Taxable income = gross income − standard deduction
In this example
Your offer
$55,000 − $16,100 = $38,900.

Step 2: Tax from each bucket

Fill each bucket in order. Multiply what's in it by its rate.

Bucket tax = dollars in the bucket × its rate
In this example
10%
$12,400 × 0.10 = $1,240.
12%
($38,900 − $12,400) × 0.12 = $26,500 × 0.12 = $3,180.

Step 3: Total tax

Total tax = the sum of every bucket's tax
In this example
Year
$1,240 + $3,180 = $4,420.
Per paycheck
Paid every other week: $4,42026 = $170 withheld from each check.

Step 4: Marginal and effective rate

Marginal rate = rate of the highest bucket reached  ·  Effective rate = total taxgross income
In this example
Marginal
Highest bucket reached: 12%.
Effective
$4,420$55,000 = 8.0%.

Step 5: Refund or owe

Refund = tax withheld − tax owed  ·  if it's negative, you owe that much
In this example
Half-year campus job
$40.04 withheld − $0 owed = $40.04 refund.

Worked example: a $90,000 salary

  1. Taxable. $90,000 − $16,100 = $73,900.
  2. 10% bucket. $12,400 × 0.10 = $1,240.
  3. 12% bucket. Full: $38,000 × 0.12 = $4,560.
  4. 22% bucket. $73,900 − $50,400 = $23,500. × 0.22 = $5,170.
  5. Total and rates. $1,240 + $4,560 + $5,170 = $10,970. Marginal rate 22%. Effective: $10,970$90,000 = 12.2%.
05 Nature link

Rice terraces fill one step at a time.

In the mountains of the Philippines, Bali and southern China, farmers cut hillsides into flat steps called rice terraces. Water from a stream flows into the top terrace. Only once it's full does the water spill over the edge into the next step down, then the next.

10%: full 12%: full 22%: filling first $12,400 next $38,000 only the newest dollars

What you're looking at: an illustration, not data. Water fills the top terrace, spills into the next, and the third is only partly full.

Why this sticks. When the third terrace starts filling, the water in the first two doesn't change. Tax brackets work the same way: when your income reaches the 22% bucket, the dollars already in the 10% and 12% buckets stay taxed at 10% and 12%. A bigger stream never drains the top terrace.

06 Notes

The page you'd copy down.

  • Standard deduction: the untaxed part, $16,100 for a single person in 2026 ($32,200 married filing together).
  • Taxable income = gross income − standard deduction. $55,000 → $38,900.
  • Tax brackets (single, 2026): 10% to $12,400, 12% to $50,400, 22% to $105,700, 24% to $201,775, then 32 to 37%. They fill in order.
  • Each bucket's dollars are taxed at that bucket's rate only. $38,900 → $1,240 + $3,180 = $4,420.
  • Marginal rate: the rate on your next dollar (highest bucket reached). Effective rate = total taxgross income, always lower.
  • A raise can't lower your take-home pay: only the new dollars are taxed at the higher rate.
  • W-4: tells your employer how much to withhold. One job, no kids: Steps 1 and 5. Two jobs: check Step 2.
  • Withheld more than you owe → refund (your own money back). Less → you owe by April 15.

Fill in the blanks

1. In 2026, the standard deduction for a single person is $.
2. The tax rate on your next dollar of income is your rate.
3. The form that tells your employer how much tax to withhold is the .
4. If more tax was withheld than you owed, you get a .
07 Together

Grab a friend or a study group.

Bust the myth

Ask three people: "Can a raise make you take home less because of a higher bracket?" Explain the buckets to anyone who says yes, using Maya's $3,500 raise.

Bracket race

One person names a salary. Everyone races to find the taxable income, the marginal rate and the total tax. Check with the calculator.

Spend $100

Each person splits $100 of federal spending the way they'd want it. Compare with the real split: health $26, Social Security $23, interest $14, defense $13, other $24.

08 On your own

Just you and your money.

These stay on this device. Nobody else sees them.

Pick a salary you'd like to earn one day. What's your taxable income, marginal rate and effective rate?
Did you believe the "raise into a higher bracket" myth before this lesson? Who told you, and how would you explain it now?
Would you rather get a refund every April or get that money in your paychecks during the year? Why?

09 Check

Exam-style questions.

Written the way a college exam would ask them. Each right answer on the first try is worth 10 xp.

On the job: you're the tax preparer

Jordan, a college student, sits down at your desk upset: "I have two part-time jobs, $650 and $500 every other week. I've always gotten a small refund. This year I owe $1,327.92! Did my taxes go up?"

Your task: explain why Jordan owes, show the math, and tell Jordan what to change so next April isn't a surprise.

See a model answer

Your tax rates didn't go up. Too little was withheld. Each job's W-4 had Step 2 blank, so each employer thought it was your only job and gave you the full $16,100 standard deduction. The $500 job figured you'd earn $13,000 a year, under $16,100, so it withheld $0.

The real math: $16,900 + $13,000 = $29,900. Taxable: $29,900 − $16,100 = $13,800. Tax: 10% × $12,400 = $1,240, plus 12% × $1,400 = $168, for $1,408. Only $80.08 was withheld, so you owe $1,408 − $80.08 = $1,327.92.

What to change: fill out a new W-4 at both jobs and check the Step 2 box on each, or add an extra amount in Step 4(c). Then more is withheld from each check, and next April comes out close to even.

10 Where it leads

From brackets to filing your own return.

Read your pay stubUnit 2 · Lesson 1 You are here How taxes work File your first tax returnNext · refunds and forms Make a budgetUnit 3 · plan with net pay 401(k) and Roth IRAUnit 5 · pay less tax

What you're looking at: a map of where this lesson fits in the course. Read it left to right: the lesson that comes before, this lesson in the middle, and the later lessons that build on it.

  • Before · Unit 2Read your first pay stub
  • You are hereHow taxes work
  • Next · Unit 2File your first tax return
  • Later · Unit 3Make a budget
  • Later · Unit 5401(k) and Roth IRA
Next open lesson: File your first tax return →Course map