Basic Algebraic Skills

Number Patterns

100

What are the next 2 numbers of the pattern 1, 2, 3, ...

4, 5

200

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

26, 33

300

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

20, 12

400

What are the next 2 numbers of the pattern 2, 7, 22, ...

67, 202

500

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

y = x + 1

Algebraic Expressions

100

Solve: x+6=14

4

200

Solve: 

3x−4=17

7

300

5x+8=33

5

400

4x−7=21

7

500

Solve: 6x+11=47

6

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 b

ab

200

4 x a - 2

4a - 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

What is 7d in expanded form?

7 x d

200

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

34

300

4/x=5 

20

400

2x+3/5=3

6

500

x+2/4 = 3

10