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REVIEW 5b
1.
2.
3.
M070
Write each of the following as an algebraic expression:
(a)
9 times the difference between d and e
(b)
The sum of double g and h
(c)
Triple the sum of m and n
Simplify the following expressions.
(a)
9w – 4y + 8wy – 5w – 7wy
(b)
8k2 – 3k + 2k3 – k2 + 5k
(c)
4a(3a + 6b – 2)
(d)
6(3r – 5t) – 4(2r – 7t)
(e)
12e + 6 – (23 + 3e)
(f)
(f)
5k(2k + 3m) – m(7k – 2m)
Substitute a = -1, b = 3, c = -5 and d = 2, and evaluate these expressions:
(a)
a2 – 3b2c + d3
(b)
6a(4b + 3c – 2d)
(c)
3a  5 b
2c  d 2
4.
A formula for a final amount of money is given by: A = P(1 + rt) where
A = final amount (Dh), P = original amount (Dh), r = rate and t = time.
Find A when P = 900, r = 0.06 and t = 4
5.
Energy is given by the formula K = 0.5mv2, where K is energy (joules), m is
mass (kg) and v is velocity (m/s). Find K when m = 9 and v = 4.
M070 FWC gp lv review 5b
6.
Solve the following equations:
(a)
-9 = 7 – 2d
(b)
w
3
9
(c)
3
h  27
5
(d)
35
 7
m
(e)
d
9 3
2
(f)
2
w 3  5
7
(g)
12h – 56 = 5h
(h)
19y + 8 – 7y = 15 + 2y – 23
7.
12 less than 4 times a number is 28. What is the number?
8.
One number is 9 more than another number. The sum of the two numbers is 35.
What are the two numbers?
9.
One number is 5 times another number. The difference between the two
numbers is 68. What are the two numbers?
10.
Ali had Dh 625 more than Sultan. Altogether they have Dh 1375. How much
does Ali have?
11.
Aishah is triple the age of Fatimah. Mona is 3 years younger than Aishah. The
sum of their ages is 32. How old are the three girls?
M070 FWC gp lv review 5b
ANSWERS
1.
(a)
9(d  e)
2.
(a)
4w – 4y + wy
(d)
10r – 2t
(e)
9e – 17
(f)
10k2 + 8km + 2m2
3.
(a)
144
42
(c)
4.
Dh 1116
5.
72 joules
6.
(a)
d=8
(b)
w = -27
(c)
h = 45
(d)
m = -5
(e)
d = -12
(f)
w = 28
(g)
h=8
(h)
y = -1.6
9.
17 and 85
10.
Dh 1000
(b)
8.
(b)
2g + h
(b)
3(m + n)
2k3 + 7k2 + 2k
-2
7.
10
11.
Aishah is 15, Fatimah is 5 and Mona is 12
M070 FWC gp lv review 5b
13 and 22
(c)
(c)
12a2 + 24ab – 8a