#### Question 1

The algebraic expression for the following statements is:

a b c d A number $$x$$ is subtracted from 20 $$20-x$$ $$x-20$$ $$-x-20$$ A number $$p$$ is multiplied by 7 and then 10 is added: $$p+10\times 7$$ $$7p+10$$ $$7(p+10)$$ A number $$k$$ is divided by 10 and 7 is subtracted from the result: $$\dfrac{10}{k}-7$$ $$\dfrac{k-7}{10}$$ $$\dfrac{k}{10}-7$$ A number $$x$$ is multiplied by 2 and then subtracted from 6: $$2x-6$$ $$6-2x$$ $$2(6-x)$$

#### Question 2

When simplified by expanding brackets and collecting like terms,

a b c d $$4x+3x-2x=$$ $$x$$ $$5x$$ $$9x$$ $$2(x-6)+5x=$$ $$7x-6$$ $$10x-12$$ $$7x-12$$ $$3xy+2xy-4xy$$ $$xy$$ $$5xy$$ $$9xy$$ $$2x(x+2)+3x$$ $$2x^2+3x$$ $$2x^2+5x$$ $$2x^2+7x$$