Algebra Basics

Writing Expressions

100

I had x dollars, and was given an extra $20.  How much do I have now?

x+20

200

Sally when to the bookshop and bought 3 books. How much did she spend?

3b

300

Michael had 3 bags of apples. He gave 2 apples to his sister. How many apples does he have now?

3x-2

400

Ramone is 3 years more than double Jose's age. How old is Ramone?

2j+3

500

Morgan bought 4 chocolate bars and 2 packets of chips at the movies. How much did she spend?

4b+2p

Substitution

100

If a=3, evaluate 3a

9

200

If x=2, evaluate 5x-7

3

300

If a =3 and b=4, evaluate 3a+2b

17

400

If a=-2, evaluate 3a+8

2

500

If a=4, b=2 and c=-6, evaluate a²-2b+c

6

Simplifying expressions

100

2a+3a

5a

200

6a-3-2a

4a-3

300

4b+2c-6b+c

-2b+3c

400

14ab+6b-7ba+2b

7ab+8b

500

5x^2+7x-3x^2

2x^2+7x

Multiplying and dividing expressions

100

2xx3x

6x

200

6gxx5d

30dg

300

4a^2xx6a

24a^3

400

(24y^2)/(6y)

500

(5x^3xx4x^5)/(10x^6)

2x^2

Expanding

100

2(x+3)

2x+6

200

-3(x+2)

-3x-6

300

a(a+6)

a^2+6a

400

3x(x-2y)

3x^2-6xy

500

(x+2)(x+3)

x^3+5x+6

Factorising

100

3x+6

3(x+2)

200

5xy+10x

5x(y+2)

300

20a-24ab

4a(5-6b)

400

8x^2+12x^3

4x^2(2+3x)

500

x^2+6x+8

(x+4)(x+2)