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ALGEBRA:
5. More brackets , more fun:
a. 2(4a – 4) + 3(a +1) =
b. 4a(3-a) +a(a +1) =
c. 5(a -3) +4(a-1)=
d. 2(x + 1) + 4(x-4)=
Don’t get confused :
1. Solve these:
a. a + a + a + a =
b. a x a x a x a x a =
c. a² + a² + a² =
d. a² x a² x a² =
e. a² + a⁵ =
f. a² x a⁵ =
g. 2a + 3a =
h. 2a x 3a =
2.
a.
b.
c.
d.
e.
f.
g.
h.
6. WATCH OUT !Minus before the
bracket means:
a. 2(a + 3) – 2(4a +4) =
b. 4(b + 3) – 4(8-b)=
c. 7(5a+4) - 3(a-4) =
d. 2(4c + 3) – 4(c-3) =
7. MINUS ATTACK!
a. 6(a-2) – 3(a-1) =
b. 3(7-b) – 4(b-1)=
c. 2(x-6)-(3-x)=
More practise:
b+b+b=
2b + 3b + b =
c + c + 5c =
b x c x 2a =
4a x 3a =
4a + 3a =
4a² + 3a² =
4a² x 3a² =
3. Practise with taking away:
a. 3a – 5a =
b. 7c + 3a – 5a =
c. 3a – 5a + 4a – 5c =
d. 4a -3b -3a -6a =
e. 2x – 4y – 4a +4a=
4. One bracket, a lot of fun:
a. 3(a + 2) =
b. 3a(3 – b) =
c. 3a(a + 3) =
d. 7b(b + 3a)=
e. 3a(4 - a) =
a.
b.
c.
d.
e.
8. DOUBLE BRACKETS, DOUBLE
FUN
(x + 3)(x + 5) =
(4 + a)(a +3) =
(x – 5) (x+4) =
(2x + 4) (3x + 4) =
(5x – 4) (3x – 6) =
TEST YOURSELF:
a.
b.
c.
d.
e.
f.
g.
h.
i.
5x – 8x =
x – 4y – 5x + 3y =
3a -4b + 6a – 6b =
3(a + 4) =
c⁵ + c⁵ =
8a x 6a =
2a x 4b =
6c(3 – 5a) =
(4 –a)(5 + 4a) =
SUBSTITUTION:
Find the value of these expressions
using substitution:
1. PURE PLEASURE
When a = 5
a. 2a =
b. 2a+ 6 =
c. a² =
d. a² + a =
e. a -2a =
2. POWERS FIRST !
When a = 3
a.
b.
c.
d.
e.
3a + a² =
2a² =
a³ =
a + a³=
a² =
3. TEST YOURSELF
when a= 4 and b = 2
a. 2a – 3b =
b. ab =
c. 2ab =
d. 2a² - 3b =
e. 3a² + 3b²=
4. BRACKETS ABOVE ALL
a. (a+3)² =
b. (2a -b)² =
c. (a + 5) x (b + 2) =
5. NEGATIVE VALUES:
If a = -4
a. 2a =
b. 2a + 3 =
c. 3a – 4 =
d. a² =
e. 2a² =
f. 2a² - a =
g. 3a - a² =
LCM AND HCF:
1. CIRCLES WE CALL VENN
DIAGRAMS:
Find LCM of:
a. 15 and 25
b. 16 and 36
c. 105 and 28
d. 56 and 24
e. 60 and 24
FIND HCF of:
a.
b.
c.
d.
24 and 56
105 and 84
18 and 27
325 and 125
2. TEXT QUESTIONS WITH
LCM AND HCF:
1. Cheese slices are sold in packs of 8. Bread rolls
are sold in packs of 6. What is the least
number of packs that needs to be bought to
have the same number of cheese slices and
bread rolls?
2. Sally has her roses in packs of 12 and tulips in
packs of 8.
a. How many packs of flowers does she need
to buy if she wants to plant one rose and
one tulip in each pot?
b. B. how many pots will she need?
3. Tom has strawberry chewing gums and lollies
for his friends. His gums are in packs of 12 and
lollies in packs of 9. He gives one lolly and one
gum to each friend. What is the smallest
number of packs of sweets he will need ?
4. Mary wants to pack 100 roses and 60 lilies
into identical baskets with the same
arrangement of flowers in each basket.
a. How many baskets does she need if she
wants to use all the flowers?
b. How many of each kind of flowers will fit
into each basket ?
5. Shona is organising a trip. She has 90 girls and
36 boys. She wants to divide her students into
identical groups.
a. How many girls and boys will she put into
each group?
b. How many groups will there be?
6. Chris is putting desks and chairs together into
office rooms. He has 60 tables and 96 chairs.
He wants to have the same amount of people
sitting in each office and the same amount of
tables in each office.
a. How many office rooms will he need?
b. How many chairs in each office room can
he have?
7. Leah is putting packed lunches together. She
has 88 packs of carrots and 33 mini rolls
(Chinese vegetarian). How many lunches can
she do provided each packed lunch is
identical?
PRODUCT OF THE PRIME FACTORS:
1. Express these as a product of
its prime factors:
a. 18 –
b. 24 –
c. 56 –
d. 60e. 132 –
f. 240 –
g. 64 –
h. 105 –
i. 1225 –
POWERS, POWERS, POWERS
Write as a single power :
a. 3⁵ x 3³ =
b. 2⁹ x 2⁹ =
c. a³ x a⁵=
d. b⁷ x b³ =
e. 4⁷ ÷ 4³ =
f. 6⁵ ÷6³ =
g. 5⁵ ÷ 5 =
h. (4³)⁵ =
i. (5³)⁷ =
j. (x³)³ =
k. (a⁵)⁴ =
WHEN YOU HAVE TO
REMEMBER ABOUT
NUMBERS, TOO:
a. (3a⁵)² =
b. (2a⁴)⁴ =
c. (3x⁹)² =
d. (4x⁴)² =
FACTORISE means FUN WITH
BRACKETS:
a. 2x + 4=
b. 3x + 6 =
c. 4x + 8=
d. 5x + 15 =
e. 9x + 6=
f. 12x – 8 =
g. 24x – 18=
h. 45 +15x =
i. x² + 4x =
j. 4x² + 8x =
k. 5x + 10xy=
l. 15xy – 25xyz=