# Worksheets for Algebra sums

1. Hannah is w years old, Vicky is twice as old as Hannah and Nur Sarah is 5 years older than Hannah.
(a) What is the sum of the three girls' age now?
(b) What is the sum of the three girls' age in 10 years' time?

Ans :- a) The sum is (4w + 5) years old
b) The sum is (4w + 35) years old .

2. A piece of wire was bent to form the figure that made up of a quadrant AFCE and a rectangle ABCD as shown below.
Given that FD = 2 cm and AE = 2y cm.
(a) Find the length of BD.
(b) Given that length of FC is (2y-10) cm and DC is 15 cm, find the perimeter of FDC.
(Express your answers in terms of y for parts (a) and (b))

Ans :- a) 2ycm
b) (2y + 7) cm.

3) Jack had 8p marbles. Samuel had twice as many marbles as jack. Dave had 7 marbles less than Samuel.
a) How many marbles did Dave have?
b) How many marbles did they have altogether?

Ans :- a) (16p -7)
b) (40p - 7) .

4) Ronda is 2 k years old. She is 5 years younger than Hong Wai and twice as old as Colin. What is their total age in 4 years time? Leave your answer in terms of k.

Ans :- (5k + 17).

5) A dining costs 27 as much as a dining table. Mr. Lim bought a dining table and 6 dining chairs.
The dining table costs \$q.
(a) How much did Mr. Lim pay altogether, in terms of q?
(b) If q = \$700, how much did Mr. Lim pay?

Ans :- a) \$(19q7)
b) \$1900 .

6) The length of a rectangle is y cm. The ratio of its length to its breadth is 2 : 1.
a) What is the perimeter of the rectangle? (Give your answer in terms of y)
b) Find the perimeter of the rectangle if y = 24cm.

Ans :- a) 3y
b) 72 cm.