Algebra and Patterns Challenge

What is the next term in the sequence 2, 4, 6, 8, ...?

• 10

• 12

• 14

• 16

Generate an algebraic expression for the sum of a number x and 5.

• x + 5

• 5 - x

• x - 5

Solve the equation: 3x = 12.

• 6

• 4

• 3

• 9

Substitute x = 4 to the expression 2x + 3.

• 10

• 7

• 11

• 15

Find the algebraic rule of the table:

• 3n+2

• 2n+3

• 2n+1

• n+2

Factorise the expression 6x + 9.

• 6(x + 1.5)

• 2(3x + 4)

• 3(2x + 3)

• 3(2x + 2)

Solve the multi-step equation: 2(x + 3) = 14.

• 4

• 5

• 3

• 6

Find the next term in the arithmetic sequence 5, 10, 15, 20, ...

• 30

• 25

• 35

• 40

Identify the pattern in the sequence 1, 4, 9, 16, ... and find the next term.

• 20

• 30

• 36

• 25

Write an algebraic expression for the difference between a number y and 7.

• y - 7

• y + 7

• 7 - y

• y / 7