GRADE 9 – EQUATIONS WORKSHEET
1.
Solve for x:
1.1
15 − 2𝑥 = 9𝑥 − 7
1.2
𝑥
5
1.3
3𝑋
2
1.4
𝑥 2 − 4𝑥 + 3 = 0
1.5
3(𝑥 + 3) = 2(2𝑥 − 3)
1.6
𝑥
2
1.7
𝑥 3 = 64
1.8
𝑥 2 − 3𝑥 = 10
1.9
5𝑥 = 125
1.10
7(3𝑥 + 2) − 5(2𝑥 − 3) = 7
3
= 35 +
−
15
2
𝑥+1
7
=
2𝑋
3
5
−3
−3=9
1
2.
Make an equation to work out the following: (Show all working)
2.1
The sum of two consecutive uneven numbers is 72. Determine the numbers.
2.2
The sum of one third of a number and one quarter of the same number is 28. What is the
number?
2.3
Jan is three times as old as Dali. In 6 years’ time, Jan will be twice as old as Dali. Determine
their present ages.
2.4
Pump A takes twice as long to fill a tank than Pump B. Together they take 2 hours to fill the
tank. How long does each one take to fill the tank by itself?
2.5
The perimeter of a rectangle is 18cm. Find the dimensions of the rectangle if the length is
3cm less than twice it’s width.
2.6
A farmer bought 45 chickens. For some of them he paid R15 and for the rest R23 each. He
paid R1819 altogether. How many chickens did he buy at R23 each?
2.7
Divide R150 between A, B and C so that A gets twice as much as B and B gets twice as much
as C.