Year 7 Algebra

Simplifying

100

Simplify 

2a + 3a + 4a 

9a

200

Simplify 

3a + 2b + 4a + 6b

7a + 8b

300

Simplify 

3a - 7 + 6a + 9

9a + 2

400

Simplify

3a² - 2a + 6a - a²

2a² + 4a

500

4a - 6b + 3c - c + 2b - 7a

-3a - 4b + 2c

Substituting

100

What is the answer when a = 4

3a + 5

17

200

What is the answer when a = -2

3a + 10

4

300

What is the answer when a = 3 and b = -1

4a + 5b

7

400

What is the answer when a = 5 and b = -3

4ab + 3a

-45

500

What is the answer when a = 5 and b = 2 

4a² + 2b²

^{DAILY DOUBLE!}

108

Expanding

100

Multiply out the brackets

2(a + 3)

2a + 6

200

Multiply out the brackets

-3(2a + 3)

-6a - 9

300

Multiply out the brackets

4a(5a + 7)

20a² + 28a

400

Multiply out the brackets

(a + 5)(a + 2)

a² + 7a + 10

500

Multiply out the brackets

(a - 5)(a + 3)

a² - 2a - 15

Factorising

100

Factorise 

4a + 8

4(a + 2)

200

Factorise

6a - 9

3(2a - 3)

300

Factorise

10a² + 15a

5a(2a + 3)

400

Factorise

21a³ - 14a

DAILY DOUBLE!

7a(3a² - 2)

500

Factorise 

a² + 10a + 16 

Hint ( a +  ) ( a +  )

( a + 2 )( a + 8 )

Function machines

100

The number 4 is put into a function machine. 

The machine will multiply the number by 6, then subtract 10. 

What number comes out?

14

200

The number 12 is put into a function machine. 

The machine will divide the number by 6, then adds 5

What number comes out?

7

300

An unknown number is put into a function machine. 

The machine will multiply the number by 3, then subtract 2. 

The number that comes out is 16

What number went in? 

6

400

An unknown number is put into a function machine. 

The machine will divide the number by 4, then subtract 7. 

The number that comes out is 2

What number comes out?

36

500

The term 'a' is put into a function machine. 

The machine will multiply the number by 4, then subtract 8. 

What expression comes out?

BONUS POINTS available to doing another algebra technique with the answer (HINT : F--------)

4a - 8

BONUS POINTS : 4(a - 2) Factorise