Expand the brackets first!

Expand and simplify these expressions:

Examples

Expand and simplify:

6(2x+y) - 5(x+y)

= 6 X 2x + 6 X y + -5 X x + -5 X x

=12x + 6y - 5x - 5y

= 12x - 5x + 6y - 5y

= 7x + y

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Solve but expand first:

5(x-2) = 4x

5x - 5 X 2 = 4x

5x - 10 = 4x

5x = 4x + 10

5x - 4x = 10

9x = 10

x = 10/9

Factorise::

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24x - 18 = 4x X 6 - 3 X 6

= 6(4x - 3)

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The circus is in Gizzy!

The tickets are as follows:

$8 for children $15 for adults

For each show, k kids tickets and a adult tickets will be sold.

1) Write an algebraic expression to express the number of tickets sold for each show.

2) Write an algebraic expression to express the amount of money the circus will make for each show.

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The circus will give 10 shows in Gisborne on this tour.

3) Using brackets, write an algebraic expression to express the total amount of money the circus will make with his 10 shows.

4) Expand the brackets.

On opening night, they sell 121 kid tickets and 203 adult tickets.

5) Using your algebraic expression from question 2, calculate how much money the circus will make on opening night.