#### Question 1

Select the algebraic expression for each of the following statements.
a b c d A number x is multiplied by 5 and then 7 is added to the result. 5(x + 7) 5x – 7 5x + 7 Four is added to a number p and then the result is multiplied by 6. p + 4 × 6 6(p + 4) 24p A number x is subtracted from 20 and then the result is divided by 3. 20 – $$\dfrac{x}{3}$$ $$\dfrac{20\ – x}{3}$$ $$\dfrac{x\ – 20}{3}$$ A number m is multiplied by 2 and then result is subtracted from 20. 20 – 2m 2m – 20 2(m – 20) A number 7 is divided by k and then 10 is subtracted from the result. $$\dfrac{k}{7 – 10}$$ $$\dfrac{7}{k}$$ – 10 $$−\ \dfrac{3}{k}$$ A number j is squared and then subtracted from 15. 2j – 15 15 – 2j 15 – j² A number g is subtracted from 20 and then the result is multiplied by –5. –5(20 – g) –5(g – 20) –5g – 20