Final Basic Algebra Assessment

Final Basic Algebra Assessment

Have a go at these Algebraic expressions

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Question 1 of 20

1. Question
Expand the following brackets:

(x + 2)(x + 3)
- \[{x^2+6x+5}\]
- \[{2x+5+6x}\]
- \[{x^2+4x+5}\]
- \[{x^2+5x+6}\]
Correct

Incorrect
Question 2 of 20

2. Question
Expand the following brackets:

(x + 4)(2x + 1)
- \[{x^2+8x+5}\]
- \[{2x^2+9x+4}\]
- \[{x^4+4x+8}\]
- \[{2x+8x+5}\]
Correct

Incorrect
Question 3 of 20

3. Question
Expand the following brackets:

(2x + 3)²
- \[{8x+12x+6}\]
- \[{4x^6x+6}\]
- \[{4x^2+12x+9}\]
- \[{x^2+8x+9}\]
Correct

Incorrect
Question 4 of 20

4. Question
Expand the following brackets:

(a + c)²
- \[{a^2+ac+c}\]
- \[{a^2+2ac+c^2}\]
- \[{a^2+ac+c^2}\]
- \[{2a+2ac+2c}\]
Correct

Incorrect
Question 5 of 20

5. Question
Expand the following brackets:

(2x – 3)(2x + 3)
- \[{4x^2-9}\]
- \[{4x^2+6x-9}\]
- \[{4x^2+12x+9}\]
- \[{8x^2+12x+9}\]
Correct

Incorrect
Question 6 of 20

6. Question
Expand the following brackets:

(a + b)(a + b)
- \[{a^2+2ab+b^2}\]
- \[{2a+ab^2+2b}\]
- \[{2a+2ab+2b}\]
- \[{a^2+ab^2+b^2}\]
Correct

Incorrect
Question 7 of 20

7. Question
Multiply out the following brackets and simplify:

(x – y)(x – 2y)
- \[{x^2 + 2y^2 – 3yx}\]
- \[{2x + 2xy – 3y^2}\]
- \[{2x^2 + y^2 – 2yx}\]
- \[{x^2 + 2y^2 + 3yx}\]
Correct

Incorrect
Question 8 of 20

8. Question
Multiply out the following brackets and simplify:

9x + 6y
- \[{(3x + 2y)}\]
- \[{3(3x + 2y)}\]
- \[{9(3x + 2y)}\]
- \[{9(x + 2y)}\]
Correct

Incorrect
Question 9 of 20

9. Question
Multiply out the following brackets and simplify:

3(x + 4) – (2x + 5)
- \[{4(x + 3)}\]
- \[{3(2x + 7)}\]
- \[{x + 7}\]
- \[{x – 7}\]
Correct

Incorrect
Question 10 of 20

10. Question
Multiply out the following brackets and simplify:

(y)(2x – z)(y – z)
- \[{2xy^2 – 2xyz – y^2z + yz^2}\]
- \[{2xy – 2xyz – 2yz + 2yz}\]
- \[{4xy – xyz – y^2z + yz^2}\]
- \[{2xy^2 + 2xyz + y2z + yz^2}\]
Correct

Incorrect
Question 11 of 20

11. Question
Multiply out the following brackets and simplify:

3(a – b) -2(2a – 3b) +4(a – 3b)
- \[{3a – 9b}\]
- \[{9a – 93}\]
- \[{3ab – 9ba}\]
- \[{3a + 9b}\]
Correct

Incorrect
Question 12 of 20

12. Question
Multiply out the following brackets and simplify:

-2m (-1 + 3m – 2n)
- \[{2m – 6m^2 + 4mn}\]
- \[{2m – 4m^2 + 6mn}\]
- \[{2m – 6m^2 + 4mn}\]
- \[{2m + 6m – 4mn}\]
Correct

Incorrect
Question 13 of 20

13. Question
Factorise and simplify:

2x + 4
- \[{4(x + 1)}\]
- \[{1(2x + 2)}\]
- \[{2(x + 2)}\]
- \[{2(x – 2)}\]
Correct

Incorrect
Question 14 of 20

14. Question
Factorise and simplify:

5a – 10b + 15c
- \[{15(a – 2b + 1c)}\]
- \[{1(5a – 10b + 15c)}\]
- \[{10(-5a – b + 1.5c)}\]
- \[{5(a – 2b + 3c)}\]
Correct

Incorrect
Question 15 of 20

15. Question
Factorise and simplify:

\[{ax^2 + ax}\]
- \[{ax^2(+ 1)}\]
- \[{x(ax + 1)}\]
- \[{a(x^2 + 1)}\]
- \[{ax(x + 1)}\]
Correct

Incorrect
Question 16 of 20

16. Question
Factorise and simplify:

2pr – 4ps + qr – 2qs
- \[{(2p + q)(r – 2s)}\]
- \[{(p + 2q)(2r – s)}\]
- \[{2(p + q)2(r – s)}\]
- \[{2(p + q)(r – 2s)}\]
Correct

Incorrect
Question 17 of 20

17. Question
Factorise and simplify:

\[{28y + 7y^2 + 14xy}\]
- \[{4y(7 + y + 4x)}\]
- \[{28y(y + 2x)}\]
- \[{14y(7 + y + 2x)}\]
- \[{7y(4 + y + 2x)}\]
Correct

Incorrect
Question 18 of 20

18. Question
Factorise and simplify:

\[{a^2c^2 + acd + acd + d^2}\]
- \[{2a(d + c)2(d + ac)}\]
- \[{a(d + 2c)c(d + ad)}\]
- \[{(2d + ac)(2d + ac)}\]
- \[{(d + ac)(d + ac)}\]
Correct

Incorrect
Question 19 of 20

19. Question
Factorise and simplify:

\[{2xy^2 + 6x^2y + 8x^3y}\]
- \[{2xy(y + 3x + 4x^2)}\]
- \[{xy(y + 4x + 3x^3)}\]
- \[{3xy(2y + 3x + 2x^2)}\]
- \[{2xy(2y + 2x + 2x^2)}\]
Correct

Incorrect
Question 20 of 20

20. Question
Factorise and simplify:

\[{25t^6 – 20t^4 + 10t^2}\]
- \[{4t^2(4t^4 –54t^2 +52)}\]
- \[{4t^3(4t^3 – 5t^3 + 2)}\]
- \[{5t^2(4t^5 – 5t^3 + 4)}\]
- \[{5t^3(5t^5 – 4t^3 + 5)}\]
Correct

Incorrect

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