Algebra Jeopardy

Expansion

100

Expand (-3g-4h)(2).

-6g-8h

200

Expand -4(2x+1) + 3(-x-2)

-11x-10

300

Expand 4m+n+[5m-6(m-n)]

3m–5n

400

There are (2a+b) books in a pile. The thickness of each book is 2 cm. Find the height of the pile of books, in the simplest form.

2(2a+b)

500

Expand and simplify
(4a-8b+12c)(- 5/2)

10(-a+2b-3c)

Factorisation

100

Factorise 7a+7b+7c

7(a+b+c)

200

Factorise 7bt - 21b - 35bt.

7b(-3-4t)

300

Factorise 5ax – 15bx - 30x.

5x(a-3b-6)

400

Factorise u²v-uv

uv(u-1)

500

Factorise r(a+b) + s(a+b)

(r+s)(a+b)

Substitution

100

Find the value of 3a+4b when a=7 and b=5

41

200

Find the value of x when
x=c² - 2c, given c=5.

10

300

Find the value of a² + 3b² - c², when a=1, b=2 and c=3.

4

400

The price of a square frame of side x cm is $(1/4 x²+5x). Find the price of a square frame of side 10 cm.

$75

500

The price $P for a birthday cake of radius r cm and height h cm is given by the formula P=1/25r²h. Find the price for a cake of radius 10 cm and height 8 cm.

$32

Forming & Solving Equations

100

Andy has 2x books. Bill has 4 more books than Andy. If they have 16 books in total, how many books does Bill have?

10

200

Mrs Chen buys 3 boxes of chocolate. She uses a $50 note to pay and gets $8 change. How much did each box cost?

$14

300

Halim has 4 more $50 notes than $10 notes in his wallet. If the total value of the notes is $380, how many $10 notes does he have?

3

400

The total price of a teapot and 4 cups is $64. If the price of a teapot is $28, find the price of a cup.

$9

500

Tom is twice as old as Arul. In 4 years’ time, the sum of their ages will be 32 years.

Find Arul’s present age.

8 years old

Solving Equations

100

3m + 50 = 20

-10

200

4y – 12 = -2y + 6

3

300

3.2x – 1.5 = 1.2 – 1.3x

3/5

400

1/2 - 3x=1+2x

- 1/10

500

Given that 5p - 7pw = 8w²,
find p when w = 3.

- 9/2