Linear Expressions: Expansion, Simplification, and Factorization

Expand and Simplify 1

100

Expand and simplify:

5(y+3)+2(y+7)

7y+29

200

Expand and simplify:

6(2w+5)+9(w+2)

21w+48

300

Expand and simplify:

3(y−2)+4(2y+5)

11y+14

400

Expand and simplify:

7(2g+3)−5(g+2)

9g+11

500

Expand and simplify:

6(x−2)−4(x−8)

2x+20

Expand and Simplify 2

100

Expand and simplify:

2(3y−8)−5(2y−1)

−4y−11

200

Expand and simplify:

8(5+2m)+3(5−3m)

=55+7m

300

Expand and simplify:

4(w+7)−2(2w+1)

26

400

Expand and simplify:

9(1+2y)+3(3−y)

=18+15y

500

Expand and simplify:

w(w+5)+w(w+7)  

2w²+12w

Factorise

100

Factorise:

5x−10y

5(x−2y)

200

Factorise:

7x+14xy

7x(1+2y)

300

Factorise:

25y−35z

5(5y−7z)

400

Factorise:

30y³−15

15(2y³−1)

500

Factorise:

42y+28x−56

14(3y+2x−4)

Challenge 1

100

Factorise, expand and simplify:

2x(7+y)−14x(y+2)

2x(−7−6y)

200

Factorise, expand and simplify:

3xy−6x(y−z)

3x(−y+2z) or −3x(y−2z)  

300

Factorise, expand and simplify:

3x(x−1)−2(x−1)  

(x−1)(3x−2)

400

Factorise, expand and simplify:

3y(x−2)−9y(x−3)

3y(−2x+7)

500

Factorise, expand and simplify:

3xy−6x(y−z)

3x(y+2z)

Challenge 2

100

Factorise, expand and simplify:

−39b²−13ab

−13b(3b+a)

200

Factorise, expand and simplify:

5x+10x(b+c)

5x(1+2b+2c)

300

Factorise, expand and simplify:

−3a(2+b)+18a(b−1)

3a(−8+5b)

400

Factorise, expand and simplify:

−4y(x−2)−12y(3−x)

−4y(−2x+7)

500

Expand and simplify:

6a(b+c)−3b(2a+c)+4a(c−b)

−4ab+10ac−3bc