Algebra Revision

Basic Algebra

100

What are the pronumerals in this expression?
7a + 5b

a, b

200

What are the coefficients in this expression?
7n + 6b - 5

7, 6

300

What are the constant(s) in this expression?
8m + 4 - 5n

4

400

How many terms are in this expression?

6 + 6a - 7b + 5

4

500

What is the difference between an expression and an equation?

Equal sign, =

Collecting Like Terms

100

5a + 2a

7a

200

7n + 2n - 3n

6n

300

2b - 3a + 4b + 2a

6b - 5a

400

3x + 7x + 3y - 4x + y

6x + 4y

500

12ab + 7 - 3ab + 2 + 5a - 7b

9ab + 9 - 5a - 7b

Algebraic Substitution

100

x = 5

4x =

20

200

x = 4, y = 6

xy - 2 =

22

300

x = 3, y = 7, z = 4

(x + z) + (z - x) =

6

400

a = 8, b = 2, c = 10

b³ + (ac) =

88

500

x = 4, y = 6, z = 5

x(y + 4) - z =

35

Multiplying Algebraic Terms

100

2a x 5 =

10a

200

a x a =

a²

300

10a x 4b x 3c =

120abc

400

3a x 2b x 3a x 2b = 

36a²b²

500

6a² x 3b⁴ x 2a⁵ x a⁶ =

36a¹³b⁴

Expanding Brackets

100

2(a + 2) =

2a + 4

200

a(b - c) =

ab - ac

300

10(10a + 4b) =

100a + 40b

400

3ab(3c + 2d) =

9acb + 6abd

500

4c(4a - 5c) =

16ac - 20ac