Algebra

Vocabulary

100

the name for the unknown number that is represented with a letter or symbel

variable

200

the name for a number whose value will always remain the same (not attached to a variable)

constant

300

the number in front of a variable in a variable term

eg: 5x (what is the 5 called?)

co-efficient

400

When multiple 'terms' are grouped together but does not contain the value. (does not contain equals)

expression

500

A mathematical expression that shows the value of the expression using an equal sign

equation

Like-Terms

100

4a + 7a

11a

200

7b - 3a + 5b

12b - 3a

300

8a - 4a + 6b - b

4a + 5b

400

17a + 16b - 197c

17a + 16b - 197c

500

a + 2b - c + d - 2b

a - c + d

Multiplication/Division

100

4 x h

4h

200

4b x 11d

44bd

300

3c² x 6c¹³

18c¹⁵

400

8a⁶ / 2a²

4a⁴

500

2a²b⁴c¹¹ x 3a⁴b⁷c² x 4abc

24a⁷b¹²c¹⁴

Expanding Brackets

100

2(x + 5)

2x + 10

200

9(4 - b)

36 - 9b

300

x(17 - b)

17x - bx

400

2a(2a + 7)

4a² + 14a

500

3c(2 - 3a + 5cd)

6c - 9ac + 15c²d

Equations

100

x + 7 = 10

x = 3

200

b - 6 = 14

b = 20

300

2x + 2 = 6

x = 2

400

2(x + 6) = 14

x = 1

500

6x + 11 = 77

x = 11