Transcript Algebra All Skills Answers

Algebra All Skills
Year 10
July 2011
Expand and simplify
4(p+5)
=4p + 20
Expand and simplify
d(3-d)
2
=3d – d
Expand and simplify
4 + 7(x-3)
= 4 + 7x – 21
= 7x - 17
Expand and simplify
5x(x-3)
2
=5x - 15
Circle the LIKE terms
Which terms are like 2a?
2
2a 4a –a 5ac
Circle the LIKE terms
2
-2x ?
Which terms are like
2
2
2x 4x –2ax 5ax
Circle the LIKE terms
2
ax ?
Which terms are like
2
2
2
2ax 4ax –2ax 5a x
Circle the LIKE terms
Which terms are like abc?
2
2
2abc 4ab –2ab 5a bc
Simplify
2p + x – 4p – 5x
= 2p – 4p + x – 5x
= -2p – 4x
Simplify
3a + 3b + 2a – 2b
=3a + 2a + 3b – 2b
= 5a + b
Simplify
8 xm
= 8m
Simplify
8m x 2m
x
x
x
=8 2 m m
= 16m2
Simplify
8m x -2m
2
= - 16m
Simplify
-8m x -2m
2
= 16m
Negative times negative
Equals positive
Simplify
2
-8m
-2m
3
= 16m
x
Simplify
3
2
-3a m
=3
x
x
2
-2a m
3
2
2
1
2a a m m
5
3
=6a m
Simplify
5
2
3a m
x
6
-2a m
5
6
2
1
2a a m m
= -3
11
3
= -6a m
x
Simplify
5
2
3a m
x
6
10a
5
6
2
10a a m
=3
11
2
= 30a m
x
Simplify
5
2
2
(3a m )
=
5
2
5
2
(3a m )(3a m )
5
5
2
2
3a a m m
=3
10
4
= 9a m
x
Simplify
2
3
(-2am )
2
2
2
=(-2am )(-2am )(-2am )
2
2
2
=(-2)(-2)(-2)aaam m m
3
6
=-8a m
Simplify
4
3
-(3m )
Simplify
4
4
(-2m )
Simplify
4
4
(-2m )
4
4
(-2m )
Simplify
4
-20m
3
-2m
Simplify
4
-20m
6
-200m
Simplify
8
-5m
4
10m
Simplify
7
8
8
5a b m
4
3
4
10a b m
Simplify
7
8
3
50a b m
7
7
4
60a b m
Simplify
10
8
3
500a b m
7
9
5
600a b m
Solve
4 + x = 2.9
Solve
X - 3 = 2.9
Solve
X÷3=2
Solve
30 ÷ x = 2
Solve
g ÷ -9 = 2
Solve
3w – 11 = -4
Solve
5h + 25 = -25
Solve
2(x-7) = 3(x+5)
Solve
2x-5 = 7-2x
3
Solve
2(p+4)= p+8
Factorise
6p + 12
Factorise
20-10x
Factorise
2
6p
+
3
12p
Factorise
6p -
3
12p
Factorise
6ap –
3
18ap
Factorise
6abc + 12abcx
Calculate
When a = 3
2a + 5
Calculate
When a = -2
2a + 5
Calculate
When a = -2
2
2-a
Calculate A
2
𝐴 = 𝜋𝑟
When r = 2
Calculate c
2
2
2
𝑎 +𝑏 =𝑐
When a = 3 and b = 4
Solve
3 2𝑥 + 7 = 33
Expand
7(x+3) – 4(x-4)
Expand
7(x+6) – 3(x+4)
Expand
(x-6)(x+4)
Expand
(3x-6)(2x+4)
Expand
2(3x-1)+ 3(2x+4)
Simplify
3x-1 + 2x+3
2x
x
Solve
3x-1 + 2x+3 = 1
2x
x