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7 - Mathematics M1.AL.7 - Identities vs Equations

Question 1 of 260 correct · 0 wrong

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✅Evaluate

Prove (x + 3)² ≡ x² + 6x + 9.

✅Evaluate

Test (x − 2)² = x² − 4x + 4 with x = 1, 5, 10.

✅EvaluateQuestion 3 of 26
x = 1→
x = 5→
x = 10→
0 / 3 marks
✅Evaluate

Is (x + 2)² = x² + 2x + 4 an identity?

✅EvaluateQuestion 5 of 26

means statement true for specific values of the variable. means statement true for all values of the variable. means a single value disproving a claim.

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✅EvaluateQuestion 6 of 26

1. (x + 2)² = ?

0 / 1 marks
✅EvaluateQuestion 7 of 26

2. (x − 3)² = ?

0 / 1 marks
✅EvaluateQuestion 8 of 26

3. (a + b)(a − b) = ?

0 / 1 marks
✅EvaluateQuestion 9 of 26

4. Identity sign is?

0 / 1 marks
✅EvaluateQuestion 10 of 26

5. Is 3x + 2 = 11 an identity?

0 / 1 marks
✅EvaluateQuestion 11 of 26

6. (x + 5)² has middle term?

0 / 1 marks
✅EvaluateQuestion 12 of 26

7. To DISPROVE an identity, you need?

0 / 1 marks
✅EvaluateQuestion 13 of 26

8. Expand (2x + 3)².

0 / 1 marks
✅EvaluateQuestion 14 of 26

9. Expand (x − 4)(x + 4).

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✅EvaluateQuestion 15 of 26

10. Which is an IDENTITY?

0 / 1 marks
✅EvaluateQuestion 16 of 26

11. Test if (x − 3)(x + 3) = x² − 9 with x = 2.

0 / 1 marks
✅EvaluateQuestion 17 of 26

12. Find a counter-example: (x + 2)² = x² + 4.

0 / 1 marks
✅EvaluateQuestion 18 of 26

13. (x + a)² has constant term?

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✅EvaluateQuestion 19 of 26

14. a³ − b³ = ?

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✅EvaluateQuestion 20 of 26

15. Prove (x + y)² − (x − y)² = 4xy. The simplification gives?

0 / 1 marks
✅EvaluateQuestion 21 of 26

16. Which is NOT an identity?

0 / 1 marks
✅EvaluateQuestion 22 of 26

17. Expand (x + 2y)³ using the identity (a+b)³ = a³ + 3a²b + 3ab² + b³.

0 / 1 marks
✅EvaluateQuestion 23 of 26

18. Show (a + b)(a² − ab + b²) is the expansion of?

0 / 1 marks
✅EvaluateQuestion 24 of 26

19. For all real x, x² − 6x + 9 ≡ ?

0 / 1 marks
✅EvaluateQuestion 25 of 26

20. Prove or disprove (x + y)(x² + xy + y²) = x³ + y³ + xy.

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✅EvaluateQuestion 26 of 26

21. Simplify (x − 1)(x + 1)(x² + 1).

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✅Evaluate

Prove (x + 3)² ≡ x² + 6x + 9.

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