REVIEW 5bM070

  1. Write each of the following as an algebraic expression:

(a)9 times the difference between d and e

(b)The sum of double g and h

(c)Triple the sum of m and n

  1. Simplify the following expressions.

(a)9w – 4y + 8wy – 5w – 7wy

(b)8k2 – 3k + 2k3 – k2 + 5k

(c)4a(3a + 6b – 2)

(d)6(3r – 5t) – 4(2r – 7t)

(e)12e + 6 – (23 + 3e)

(f)(f) 5k(2k + 3m) – m(7k – 2m)

  1. Substitute a = -1, b = 3, c = -5 and d = 2, and evaluate these expressions:

(a)a2 – 3b2c + d3

(b)6a(4b + 3c – 2d)

(c)

  1. A formula for a final amount of money is given by: A = P(1 + rt) where

A = final amount (Dh), P = original amount (Dh), r = rate and t = time.

Find A when P = 900, r = 0.06 and t = 4

  1. Energy is given by the formula K = 0.5mv2, where K is energy (joules), m is mass (kg) and v is velocity (m/s). Find K when m = 9 and v = 4.
  1. Solve the following equations:

(a) -9 = 7 – 2d

(b)

(c)

(d)

(e)

(f)

(g) 12h – 56 = 5h

(h) 19y + 8 – 7y = 15 + 2y – 23

  1. 12 less than 4 times a number is 28. What is the number?
  1. One number is 9 more than another number. The sum of the two numbers is 35. What are the two numbers?
  1. One number is 5 times another number. The difference between the two numbers is 68. What are the two numbers?
  1. Ali had Dh 625 more than Sultan. Altogether they have Dh 1375. How much does Ali have?
  1. Aishah is triple the age of Fatimah. Mona is 3 years younger than Aishah. The sum of their ages is 32. How old are the three girls?

ANSWERS

1.(a)9(de)(b)2g + h(c)3(m + n)

2.(a)4w – 4y + wy(b)2k3 + 7k2 + 2k(c)12a2 + 24ab – 8a

(d)10r – 2t(e)9e – 17(f)10k2 + 8km + 2m2

3.(a)144(b)42(c)-24.Dh 11165.72 joules

6.(a)d = 8(b)w = -27(c)h = 45(d)m = -5

(e)d = -12(f)w = 28(g)h = 8(h)y = -1.6

7.108.13 and 229.17 and 8510.Dh 1000

11.Aishah is 15, Fatimah is 5 and Mona is 12

M070 FWC gp lv review 5b