Term 2 - Algebra Recap

Add and Subtract Like Terms

100

Simplify the following expression:

a + a + b

2a + b

200

Simplify the following expression:

7dm + 7md + 3d - d

14dm + 2d

or

14md + 2d

300

Simplify the following expression:

5gmz + 3mzg + gm - 2z

18gmz + gm - 2z

400

Simplify the following expression:

2x²y - 3xy² + x²y + 2xy²

3x²y - xy²

500

Solve the following riddle: I speak without a mouth and hear without ears. I have no body, but I come alive with the wind. What am I?

Answer: Check the Whiteboard

Clues: Check the Whiteboard

An Echo

Multiply and Divide Variables

100

Simplify the following expression:

7 x e + 2 x g

Hint: __e + __g

7e + 2g

200

Simplify the following expression:

-5p x 2q x 7r

-70pqr

300

Simplify the following expression:

7x² / 28x

x / 4

400

Simplify the following expression:

(12py + 12 x yp) / (7p² + 5p²)

2y / p

500

Two friends, Gabriel and Bathsheba, are comparing the area of their bedrooms. 

Gabriel's bedroom is a rectangle a metres long and b metres wide.

Bathsheba's bedroom is a rectangle b² metres long and (a / b) metres wide.

Gabriel claims that the two bedrooms have exactly the same area. Explain whether this claim is correct.

The areas of both bedrooms are the same size (Gabriel is correct)

Expanding

100

Expand the following expression:

3(4x + 1)

Hint: __x + __

12x + 3

200

Expand the following expression:

-6x(2x + 4)

-12x² - 24x

300

Expand the following expression:

4x(2x² + 3)

8x³ + 12x

400

Expand the following expression:

4x(2x² + 3) + 3x

8x³ + 15x

500

Expand the following expression:

(x + 2)(x + 3)

x² + 5x + 6

Factorising to 1 Bracket

100

Factorise the following expression:

2x + 4

hint: 2(__ + __)

2(x + 2)

200

Factorise the following expression:

7xy - 3x

x(7y - 3)

300

Is the statement below correct?

6xyz + 14xy = 2xy(3z+7)

Yes, it is correct

400

Complete the factorised expression:

y² - 5xy⁵ = __²(1 - 5xy³)

y 

y²(1-5xy³)

500

In a class room, four groups were set a task to factorise this expression:
6a²c + 15a⁵
Each group came up with a different factorised expression. Which group was correct?

1. 3a²(2c+5a²)

2. 3a²(-2ac-5a³)

3. 3a²(6a³ - 2c)

4.3a²(2c + 5a³)

Group 4 

3a²(2c + 5a³)

Factorising 2 Brackets

100

Factorise the following expression:

x² + 9x + 20

hint: (x + _)(x + 5)

(x + 4)(x + 5)

200

Factorise the following expression:

(x + 6)(x - 3)

x² + 3x - 18

300

Factorise the following expression:

x² - 4x - 21

(x - 7)(x + 3)

400

Factorise the following expression:

x² - 10x + 25

Double points if written in its simplest form

(x - 5)(x - 5) = (x - 5)²

500

Factorise the following expression:

x² - 81

(x + 9)(x - 9)