Simplifying · Just Numbers · A2

Terms carry their sign.

The + and − signs split an expression into terms. Each term carries the sign in front of it. This is the single most important idea for everything that follows.

01 / THE IDEA

See it simplify.

One step at a time

Do the strongest operation first.

0 / 2
7 - 2 + 4
— / WHY IT WORKS

The idea underneath.

A term and its sign

Break at every + and −. The sign before a number belongs to it. 7 − 2 + 4 → terms 7, −2, 4. You can add terms in any order as long as each keeps its sign.

Why it works

Money in (+) and money out (−): each amount carries its direction.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

4 - 2 + 6 - 2

1

Step

4 - 2 = 2

2

Step

2 + 6 = 8

3

Step

8 - 2 = 6

EX 2medium

4 - 6 + 4 - 7

1

Step

4 - 6 = -2

2

Step

-2 + 4 = 2

3

Step

2 - 7 = -5

EX 3hard

14 - 5 + 8 - 10

1

Step

14 - 5 = 9

2

Step

9 + 8 = 17

3

Step

17 - 10 = 7

04 / COMMON TRAPS

Where students slip.

Trap

Dropping a minus sign when you move a term.

Fix

A term keeps its sign wherever it goes: −2 stays −2.

Trap

Treating − as "nothing".

Fix

The − is part of the next term.

05 / QUIZ

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

4 - 2 + 6 - 2

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
C2

6 - 2 + 2 - 2

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
C3

5 - 5 + 5 - 3

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
C4

2 - 6 + 3 - 6

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
Apply

Apply (4)

A1

4 - 6 + 4 - 7

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
A2

4 - 4 + 3 - 7

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
A3

12 - 5 + 4 - 8

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
A4

15 - 8 + 9 - 7

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
Extension

Extension (4)

E1

14 - 5 + 8 - 10

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
E2

4 - 9 + 10 - 6

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
E3

8 - 11 + 11 - 5

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.
E4

7 - 9 + 7 - 6

Need a hint?
  • Mark off each term with its sign.
  • Add the terms in any order, keeping signs.