9 Algebra Review - Fractions and Brackets

Definitions and methods

100

Which two terms from the list are like terms?

3x²,     2x³,     3x,     2x²

3x², 2x²

200

What method do we use to divide fractions?

Keep, change, flip

300

What is the name of this process?

3p(9p+4) = 27p² + 12p

Expanding

400

Can you simplify

5a³ + 3a² ?

Explain why or why not.

No: 5a³ and 3a² are not like terms, and you can only add or subtract like terms.

500

Can you simplify

5a³ x 3a² ?

Explain why or why not.

Yes: you can multiply any terms

5a³ x 3a² = 15a⁵

Adding and subtracting

100

Simplify:

5y+4y

9y

200

Simplify:

20rs - 11rs

9rs

300

Simplify 2x/5 + x/5

3x/5

400

Simplify 3y/4 - 2y/3

y/12

500

Simplify  2w²/5 - 3w²/10

w²/10

Multiplying and dividing

100

Simplify

y x y x y

y³

200

Simplify

4 x 3 x r⁵

12r⁵

300

Simplify p²g⁵ ÷ pg³

pg²

400

Simplify 6rs/5 x r³/3

2r⁴s/5

500

Simplify

h⁴/10 ÷ h²/5

h²/2

Expanding

100

Expand 2(b+1)

2b+2

200

Expand 3y(y-9)

3y²-27y

300

Expand -7(2x-5)

-14x+35

400

Expand (2p+5)(p-3)

2p²-p-15

500

Expand (r-5)(r+5)

r²-25

Factorising

100

Write all of the factors of 20

1,2,4,5,10,20

200

What is the HCF of 9xy and 6x²?

3x

300

Factorise 33y-22

11(3y-2)

400

Factorise 6bc + 2b²

2b(3c+b)

500

Factorise 25r - 50pr²

25r(1-2pr)