Year 10 Term 1 Jeopardy

Expanding

100

Expand:
2(x+1)

2x + 2

200

Expand:
2(x+3)

2x+6 

300

Expand:
2(x-5) + 3(x-1)

= 2x - 10 + 3x - 3
= 5x - 13

400

Expand:
(x+3)(x-5)

= x² - 5x + 3x - 15
=x² - 2x - 15

500

Expand:
3(x-5) + (x+1)(x-1)

= 3x - 15 + x² - 1x + 1x - 1
= x² + 3x - 16

Solving

100

Solve:
a - 5 = 12

a - 5 + 5 = 12 + 5
a = 17

200

Solve:
3a = 21

3a/3 = 21/3
a = 7

300

Solve:
2x - 10 = 16

2x - 10 + 10 = 16 + 10
2x = 26
2x/2 = 26/2
x = 13

400

Solve:
2x + 2 = x - 1

2x + 2 - x = x - 1 - x
x + 2 = -1
x + 2 - 2 = -1 - 2
x = -3

500

Solve:
(x+3)/2 = 10

(x+3)/2*2 = 10*2
x + 3 = 20
x + 3 - 3 = 20 - 3
x = 17

Factorising

100

Factorise:
3a + 9

= 3xa + 3x3

= 3(a + 3)

200

Factorise:
2b² + 3b

=2xbxb + 3xb
=b(2b + 3)

300

Factorise:
b² + 6b + 5

(b + 6)(b + 1)

400

Factorise:
g² - 6g + 9

(g - 3)(g - 3)

500

Factorise:
b² + 17b + 30

(b + 15)(b + 2)

Index Laws

100

Simplify:
a⁴ x a⁶

=a⁴⁺⁶
=a¹⁰

200

Simplify:

3a²b⁶ x 5a²b³

= 3x5a²⁺²b⁶⁺³
=15a⁴b⁹

300

Simplify:

(2²b⁴g⁴)³

=2^2x3b^4x3g^4x3

=2⁶b¹²g¹²

400

Simplify:
(3⁶f¹⁰g⁵)⁰

= 1

500

Simplify:
=(2⁶b¹²g¹²)² x (2⁶b¹²g¹²)²

=2^6x2b^12x2g^12x2 x 2^6x2b^12x2g^12x2

= 2¹²b²⁴g²⁴ x 2¹²b²⁴g²⁴

= 2²⁴b⁴⁸g⁴⁸