Algebra

Like Terms

100

Which of the following are like terms?

6ab, 6a, 8b, 8ab

6ab and 8ab

200

6x and 6x² are considered like terms because they both have x. True or False?

False.

Addition & Subtraction

100

3x + 5 - 2x = 

x + 5

200

6b + 7a + 8b - 3a

14b + 4a

300

3ab + 2a + 5ab - 4a + b

8ab - 2a + b

400

4a² + 4a + 4b² + 4b - 3a² + 3a - 3b² + 3b = 

a² + 7a - b² + 7b

Factorising

100

Factorise

6a + 3

3(2a + 1)

200

Factorise

2x² + 10x

2x(x + 5)

300

Factorise

10x² + 5x + 5

5(2x² + x + 1)

400

Factorise

4x³ + 24x² + 16x

4x(x² + 6x + 4)

500

Factorise 

8x²y²z + 6xy²z² - 4x²y²z²

2xy²z(4x + 3z - 2xz)

Difference of Two Squares

100

Factorise

x² - 25

(x - 5)(x + 5)

200

Factorise 

9b² - 49

(3b - 7)(3b + 7)

300

Factorise

16c² - 25d²

(4c - 5d)(4c + 5d)

400

Factorise

(a + 3)² - 36

(a + 3 - 6)(a + 3 + 6)

OR (a - 3)(a + 9)

Null Factor Law

100

Solve for x.

(x - 2)(x - 3) = 0

x = 2, x = 3

200

Solve for x.

(x - 3)(x + 8) = 0

x = 3, x= -8

300

Solve for x.

(x - 1)(2x - 1) = 0

x = 1, x = 0.5

400

Solve for x.

(2x + 1)(3x - 1) = 0

x = -0.5, x = 1/3

500

Solve for x.

4x² - 4x = 0

x = 0, x = 1