Year 10 Recap

Expanding Brackets

100

3(x - 4)

3x - 12

200

x(6 - 2x)

6x - 2x²

300

(x - 2)(x + 3)

x² + x - 6

400

2x(x + 1)(x - 1)

2x³ - 2x

500

(x + 2)(x - 1)(x + 3)

x³ + 4x² + x - 6

Exponents

100

a² x a³

a⁵

200

8m⁵ ÷ 4m²

2m³

300

(3y²)³

27y⁶

400

(2a²b)² ÷ 2ab

2a³b

500

(3pq³ ÷ (2pq)²)³

27q³ ÷ 64p³

Algebra

100

2x + 7 = 13

x = 4

200

3x + 9 = 5x - 11

x = 10

300

2(2x - 1) = 3(x + 2)

x = 8

400

(x - 6) ÷ 4 = (x + 2) ÷ 3

x= - 26

500

(x + 1)(x - 2) = (x + 3)(x + 6)

x = -2

Simultaneous Equations

100

x + y = 10

2x + y =13

x = 3

y = 7

200

2x + 3y = 13

2x + 7y = 17

y = 1

x = 5

300

x + y = 5

3x + 6y = 6

x = 8

y = -3

400

y = x - 10

3x - 7y = 20

x = 12.5

y = 2.5

500

For a concert, 1000 tickets were sold.  Adult tickets cost $8.50, children's cost $4.50, and a total of $7300 was collected.  How many tickets of each kind were sold?

Adult = 700

Child = 300