Amazing Algebra Ask-tionaire

Collection

200

3x+7−2x+12+5x

6x + 19

400

8a−4b+6−5a+9b−2

3a+5b+4

600

4x²+6x−15−x²+7x

3x²+13x−15

800

9x−2(3y−(4x−y)+5x)−10y

7x−8y

1000

5x²y−2xy²−4(x²y−3xy²)+7x

x²y+10xy²+7x

Expansion

200

2(5x−8)

10x-16

400

3x(3x-6)

9x²-18x

600

4(3x−5)−2(x+8)

10x−36

800

(x+6)(x−4)

x²+2x-24

1000

(x−2)(3x²−4x+1)

3x³-10x²+9x-2

Substitution

200

given that x = 5, find 6x−4

26

400

given that a = 4, find 3(a+6)−5a

10

600

given that a = 9 and b = 8, find 3a+2ab−5b

131

800

Given that x = -3 and y= 2, find 2x²−4xy+7

49

1000

Given that x=7 and y=3, find y³−2[z−(x−4)²]

45 - 2z

Find

200

find the value of x given that 6x−11=19

x = 5

400

find the value of x given that 3x + 12= 4

-8/3

600

find the value of x given that 3(2x−5) - 9(x−3) = 0

x = 4

800

find the value of x given that 3(4x−1) − 2(5x+6) + x = 9

x = 8

1000

(2x−1)(x+3) - (2x+3)(x−4)= 0

x = -9/10

Factorization

200

12x − 24

6(2x − 4)

400

12x³ − 20x²

2x²(2x − 10)

600

9x³ + 6x² − 15x

3x(3x² + 2x− 5)

800

20a⁴b³−30a³b⁴+10a³b³

10a³b³(2a − 3b + 1)

1000

2x²  − 8x + 3x − 12

= 2x(x − 4) + 3(x − 4)

= (2x + 3)(x − 4)