x 3 x + 3 = 8 Come play with numbers!
Substitution

What if we open the box and look?

# Plug the number in **Substitution** means replace the letter with a number. If `x = 4` and the expression is `2x + 1`: `2(4) + 1 = 8 + 1 = 9` Use brackets when you plug in, especially for negatives: If `x = −3`, `2x + 1 = 2(−3) + 1 = −6 + 1 = −5` ## Many letters `3a + b` with `a = 2`, `b = 5` → `3(2) + 5 = 11` This is how you **evaluate** an expression. ## Brackets are not optional when the number is negative Write the substitution as a full new line: `2x + 1` and `x = −3` ``` 2(−3) + 1 = −6 + 1 = −5 ``` If you write `2−3+1` you have changed the meaning. ### Order after plugging in Use ordinary arithmetic order: brackets, then multiply/divide, then add/subtract. ### Many letters Replace every letter you know. If a letter is still unknown, leave it — but in this lesson both values will be given.

By the end of this lesson

Substitute a given number (including negatives) into an expression using brackets, then evaluate.

Remember

  • Substitution = replace the letter with a number.
  • Use brackets, especially for negatives: 2(−3) not 2−3.
  • If x = 4, then 2x + 1 = 2(4) + 1 = 9.
  • If x = −3, then 2x + 1 = 2(−3) + 1 = −5.
  • Several letters: replace each one, then compute.

Worked examples

Cover the answer. Try the steps on paper, then open them.

Example 1 — Positive plug-in

Evaluate 3x − 2 when x = 5.

  1. 3(5) − 2
  2. 15 − 2 = 13

Answer: 13

Check: Brackets show the replace.

Example 2 — Negative plug-in

Evaluate 3x − 2 when x = −4.

  1. 3(−4) − 2
  2. −12 − 2 = −14

Answer: −14

Check: 3 × −4 is −12, then minus 2.

Example 3 — Two letters

3a + b with a = 2, b = 5

  1. 3(2) + 5
  2. 6 + 5 = 11

Answer: 11

Check: Replace both, then one calculation.

Common mistakes

Slip x = −3 in 2x written as 2 − 3 = −1.

Fix 2x = 2(−3) = −6.

The 2 multiplies the whole −3.

Slip Replacing only the first x if x appears twice.

Fix Every x gets the same number.

Same box, same number.

Slip Doing 2x + 1 with x = 4 as 2 + 4 + 1.

Fix 2x is 2 times 4 = 8, then +1 = 9.

Hidden multiply first.

Try on paper first

Write the answer, then tap Reveal. These are not the quiz — they are warm-ups.

1. If x = 6, 2x + 3 =

Answer: 15

2. If x = −2, 4x =

Answer: −8

3. If x = −2, 4x + 1 =

Answer: −7

4. If a = 3, b = 4, 2a − b =

Answer: 2

Touch practice

8 tap / type

Tap an option or type the answer. Retry any miss. Extra generated questions appear after the set if this topic allows it.

Optional picture lab

After practice

Real world

Replace “cost” with ₹40 in a bill.

Connect

Assign x = 4 then print 2*x+1.

⭐ Star quiz

9 questions

Finish the touch practice first if you can. Then answer without peeking. Read every “why”.