Algebraic Skills

Patterns

100

What are the next 2 numbers of the pattern 5, 12, 19, ...

26, 33

200

What are the next 2 numbers of the pattern 44, 36, 28, ...

20, 12

300

When x = 1, 2 and 3, y = 2, 3 and 4. What is the rule?

y = x + 1

400

When x = 1, 2 and 3, y = 5, 7 and 9. What is the rule?

y = 2x + 3

500

When x = 1, 2 and 3, y = 10, 15, 20. What is the rule?

y = 5x + 5

Expressions

100

What is an expression for the difference between p and 8?

p - 8

200

What is an expression for the product of 8 and h?

8 x h or 8h

300

What is an expression for 5 times the sum of a and 3?

5 x (a + 3) or 5(a + 3)

400

Simplify

2n + 5(2n + 3)

2n + 10n + 15

12n + 15

500

Simplify

4(2x + 3b)

8x + 12b

Substitute a = 2, b = 5

100

a + b

7

200

2b - a

8

300

4(b - a)

12

400

a² + b²

29

500

^{2a + 2b} / _{a + b}

2

Simplify

100

a x a x a

a³

200

4 x a x b - 2 

4ab - 2

300

7 x y - 6 x k

7y - 6k

400

6 x g x 3 x h

18gh

500

a + a + a + a + b + b + b

4a + 3b

Mixed Bag

100

A number is tripled, then 10 is added and the answer is divided by 2 giving a final value of 11.

What was the original number?

4

200

The rule is T = 4n - 6. When n = 10, T =

34

300

Solve 

2(3p - 4) = 22

p = 5

400

Solve

3(d - 3 + 2d) = 27

d = 4

500

Solve

3(x - 2)  / 4  = 3

x = 6