Algebra Mathematics Quiz: Knowledge Test

Algebra Mathematics Quiz

1. Simplify: $3x + 5 – 2x + 7$
A. $x + 12$
B. $x + 2$
C. $5x + 2$
D. $x + 7$

2. Solve: ( 2x – 5 = 11 ).
A. 3
B. 6
C. 8
D. 5

3. Factorize: $x^2 – 9$
A. $(x – 9)(x + 1)$
B. $(x – 3)(x + 3)$
C. $(x – 1)(x + 9)$
D. $(x – 3)^2$

4. Simplify: $\frac{3x}{6}$
A. $x$
B. $\frac{x}{2}$
C. $\frac{3}{2}x$
D. $6x$

5. Solve: $4(x – 2) = 12$
A. 1
B. 2
C. 5
D. 4

6. Evaluate when $x = -2$ $x^2 + 4x + 3$
A. 3
B. -1
C. -5
D. 1

7. Solve: ( 3x + 2 = 14 ).
A. 4
B. 3
C. 12
D. 6

8. Expand: ( 2(x + 5) ).
A. ( 2x + 5 )
B. ( 2x + 10 )
C. ( x + 10 )
D. ( 2x + 15 )

9. Factorize: $2x^2 + 8x$
A. $2x(x + 4)$
B. $x(2x + 8)$
C. $4x(x + 2)$
D. $2(x + 4)$

10. Solve the simultaneous equations:
( x + y = 10 )
( x – y = 2 )
A. (6, 4)
B. (5, 5)
C. (8, 2)
D. (7, 3)

Algebra Mathematics Quiz

11. Simplify: $(x^3)(x^2)$
A. $x^5$
B. $x^6$
C. $x^3$
D. $x^{1}$

12. Solve: ( x² = 81 ).
A. 81
B. 9
C. -9
D. Both B and C

13. Factorize: $x^2 + 7x + 12$
A. $(x + 4)(x + 3)$
B. $(x + 6)(x + 1)$
C. $(x – 4)(x – 3)$
D. $(x + 12)(x + 1)$

14. Solve: $\frac{x}{5} = 4$
A. 9
B. 10
C. 15
D. 20

15. Simplify: $(3x^2y)(2xy^2)$
A. $6x^3y^3$
B. $5x^2y^2$
C. $6x^4y^3$
D. $6x^3y^2$

Algebra Mathematics Quiz

16. Expand: $(x + 2)(x + 3)$
A. $x^2 + 6x + 5$
B. $x^2 + 5x + 6$
C. $x^2 + 3x + 2$
D. $x^2 + 8x + 6$

17. Make x the subject: $y = 3x – 4$
A. $x = \frac{y – 4}{3}$
B. $x = 3y – 4$
C. $x = \frac{3 + y}{4}$
D. $x = \frac{4 – y}{3}$

18. Solve: ( 2x + 3y = 12 ) when ( y = 2 ).
A. 2
B. 3
C. 4
D. 5

19. Simplify: $\frac{4x^2}{2x}$
A. $2x$
B. $x^2$
C. $4x$
D. $2x^2$

20. Solve: ( 5x – 3 = 2x + 9 ).
A. 3
B. 4
C. 6
D. 5

21. Factorize: $x^2 – 5x$
A. $x(x – 5)$
B. $(x – 5)(x + 1)$
C. $x(x + 5)$
D. $x – 5$

22. Evaluate: f(x)=2x+7, find $f(3)$
A. 11
B. 12
C. 13
D. 14

23. Simplify: $\frac{3}{x} + \frac{2}{x}$
A. $\frac{1}{x}$
B. $\frac{5}{x}$
C. $5x$
D. $\frac{6}{x}$

24. Solve: ( 3(x + 1) = 2(x – 4) ).
A. 5
B. -10
C. -5
D. 2

25. Solve the inequality: ( 2x – 3 < 9 ).
A. ( x < 6 )
B. ( x > 6 )
C. ( x < 5 )
D. ( x > 5 )

26. What is the gradient of the line ( y = 5x – 2 )?
A. -2
B. 2
C. 5
D. 1

27. Solve: $x^2 – 4x = 0$x2−4x=0.
A. 4
B. 0 and 4
C. -4
D. 2

28. Simplify: $(2x – 3) + (x + 5)$
A. ( 3x + 2 )
B. ( x + 2 )
C. ( 3x – 2 )
D. ( 2x + 8 )

29. Expand: Expand: $(x – 2)^2$

A. $x^2 – 4x + 4$
B. $x^2 + 4x + 4$
C. $x^2 – 2x + 2$
D. $x^2 – 2x – 4$

30. Solve: Solve: $\frac{2}{x} = 8$

A. $x = \frac{1}{4}$
B. $x = 4$
C. $x = \frac{1}{8}$
D. $x = 16$

Algebra Mathematics Quiz ANSWERS
1A
2C
3B
4B
5C
6B
7A
8B
9A
10A
11A
12D
13A
14D
15A
16B
17A
18B
19A
20A
21A
22C
23B
24C
25A
26C
27B
28A
29A
30A