Set 1

REVISION TEST 1 – HUM 1012 ENGINEERING MATHEMATICS 1

1. a. Simplify nmnm 3433 b. Simplify

2. Simplify 2222 2615205

3baba

3. Simplify ghgghg 233

4. Simplify and then state the coefficient and unknown.

5. Simplify the following.

(a) 3y + 4 (b) . (c)

6. Expand the following.

(a) (b)

7. Factorize

(a) 814 2 y

(b) 369 2 x (c) bb 364 3 (d) 22 44 qpqp (e) .

8. Change the subject to b for 2

102 bcaa

9. Change the subject to a for 2

2

1atuts

10. Change the subject to s for 222 2asuv .

11.Express as a subject of the formula .

12. Given that ,

(a) write n as the subject of the formula.

(b) calculate the value of n if H = 8.13. Given that the volume of a cylinder . Make r as the subject, then find the value of r if V = 42cm3 , h = 3cm and = 3.142 .

14. (a) Solve 67

52

jj (b) Solve 94

6 k

k

15. Solve 98 x

16. Solve the following equations.

(a) .

(b) 3x2 + 7x – 5 = 0.

(c) m - 6 = 10 – 3m

17. A customer pays 50 dollars for a coffee maker after a discount of 20 dollars. What is the

original price of the coffee maker?

18. Half a number plus 5 is 11.What is the number?

17. By using formulae, solve (a) 10204 2 xx (b)

18. By using formulae, solve mm3

1012

19.Solve the quadratic equation using the formula.

Given that the formula is .

20. Solve the following inequalities : (a) (b)

(c)

(d) (e) (f) (g) (h) 21.Solve the following simultaneous equations: (a) and (b) and

22. Solve the following system:

 23. Solve

x+ y− z= 4

  x− 2y+ 3z= −6

  2x+ 3y+ z= 7 24. Solve the following system: x − y + 2z = 9 2x + y − z = 1

3x − 2y + z = 8.