Solve the following inequalities: a. 3x<30-x≤30x+8
(4) (4) (4)
TOTAL = 60 marks.
ICE Task 1: by Mr. Ndlovu
b. 4(4+x)-1>5x+7(4-x)
c. 4+x < 10+2x < 10(x+2).
d. A test was given to a class of 50 students. The test was out of 60. Denote the following
inequalities in terms of x.
i. The maximum mark the student can get is 60. (2)
ii. To pass the student should get more than 30. (2) iii. To qualify to write the test again, the student should get between 20 and 30. (2) iv. For a distinction, the student must get a mark anywhere from 48 to 60. (2)
2. Solve the following percentage problems:
a. 500 students wrote an exam. Out of these students, 20 % got distinctions, 30% got Merits (65
– 74) and the remaining students just passed (50 - 64). 30% of students failed. Find the
number of students who just passed. (4)
b. 5 students write an exam. The average score obtained in the exam by the group of students is 76%. If the first students obtained 76%, while the next 3 students obtained 71%, 79%, and
68% respectively. what was the mark obtained by the fifth student? (4)
3. Change the subject of the formula to .
a. =(+) (5) b. +=1+(1+) (5) c. = (�) + (�) (6)
4. Solve the following set of simultaneous equations.
a. 3x+2y=36 and 5x+4y=100 (5)
b. 3+6=7 3+6(+3)= 81 (6) 42
c. 10 − 10 = + and + 2 = − 3