Algebra Revision 9B

Like Terms

100

4x - 2x + 8 + 3x -1

5x + 7

200

Simplify 6y² + 3y²

9y²

300

Simplify 10x² + 5x - 3x² - 7x

7x² - 2x

400

Simplify 9y³ + 5y - 2y² + 8

They are all unlike terms, nothing can be combined, so it cannot be simplified.

500

Simplify: (5y - 6) - (4 - 7y)

12y - 10

Substitution

100

If y = -5, then what is 3y² + 7y - 4 ?

36

200

If z = -3, then what is z² - z - 1 ?

11

300

If x = 2 and y = 3, what is the value of xy + y² ?

15

400

If x = 5 and y = 6, what is 2x - 12/y?

8

500

If x = 4 and y = 2, what is the value of x² + y³ ?

24

Solve for x

100

3x + 4 = 25

x = 7

200

x/3 + 1 = 16

x = 45

300

2x + 1 = 13

x = 6

400

4x + 6 = x + 12

x = 2

500

3x+5=2x+8

x=3

Factorising

100

5y + 20

5 ( y + 4 )

200

3x + 30

3 ( x + 10 )

300

2y + 6

2 ( y + 3)

400

3y² + 12y

3(y² + 4y)

500

5y²  + 15y

5y(y+3)

Sequences

100

What are the first 5 terms in the sequence where the rule is n - 8

-7, -6, - 5, -4 , -3

200

What will be the perimeter of a regular hexagon with sides measuring 8cm

48

300

What is the term-to-term rule of this arithmetic sequence?

8, 15, 22, 29

+7

400

write a rule for the nth term of the following sequence 7, 11, 15, 19

4n + 3

500

write a rule for the nth term of the following sequence

34, 37, 40, 43

3n + 31