Review 5Equations

  1. Solve the following equations.

(a)r + 6.2 = -4.5(b)-5k = 35(c)7y + 2 = 23

(d)-7 = 8 – 5n(e)(f)

(g)(h)(i)

(j)7c – 4c = -27(k)9m – 35 = 2m(l)7e + 6 = 2e – 9

(m)13y + 5 – 4y = 18 + 5y – 12

(n)1.6k – 3.7 + 2.7k = 2.8 – 4.2k + 5.4

  1. Sameera had Dh 525 more than Abeer. Altogether they have Dh 1075. How much does Sameera have?
  1. A dress and an abaya together cost Dh 550. The dress costs Dh 120 less than the abaya. How much does the dress cost?
  1. Afra is 5 years less than twice as old as Moza. The sum of their ages is 25. How old is Afra?
  1. Ali is twice as old as Omar. Sultan is 4 years younger than Ali. The sum of their ages is 46. How old are the three boys?
  1. A painter charges Dh 900 for materials and Dh 125 per hour for labour. The total cost of painting an office is Dh 1900. How many hours did it take the painter to paint the office?
  1. The selling price of a television is Dh 700. This price includes the cost of the television plus a profit of of the cost price. What is the cost of the television?
  1. The value of a house tripled in the last five years. The value this year is Dh 327 000. Find the value of the house five years ago.
  1. A piece of wood 15.5 metres long is cut into two pieces. One piece is four times as long as the other. How long is each piece?
  1. In an election, the winning candidate had 160 more votes than the loser. If the total number of votes was 3260, how many votes did each candidate receive?
  1. Rachel earns Dh 6000 less than twice as much as Tom. If their two incomes total Dh 48 000, how much does each earn?
  1. Change the subject of the formulae to the letter shown in the bracket.

(a)P = I2R (R)(b) (g)

(c) (s)(d)A = P + Prt (P)

  1. Find the perimeter of the following shapes. Round your answer to 2 decimal places, where applicable.

(a)(b)

  1. A rain gutter is being installed around the outside of a home that has the dimensions shown below. At Dh 45 per meter, how much will it cost to install the rain gutter?
  1. Find the area of the following shape.
  1. Find the area of a circle with a diameter of 16 m. Round your answer to 1 decimal place.
  1. Find the diameter of a circle with a circumference of 86 cm. Round your answer to the nearest cm.
  1. Find the area of a circle with a radius of 65 cm. Round your answer to 1 decimal place.
  1. Find the volume of the following shapes. Round your answer to 2 decimal places where applicable.

(a)(b)

Review 5Answers

1.(a)r = -10.7(b)k = -7(c)y = 3

(d)n = 3(e)w = -30(f)h = 18

(g)m = -3(h)d = -8(i)w = 25

(j)c = -9(k)m = 5(l)e = -3

(m)y = 0.25 or (n)k = 1.4

2.Dh 8003.Dh 2154.15 years old

5.Omar is 10, Ali is 20 and Sultan is 166.8 hours

7.Dh 5008.Dh 109 0009.3.1 m and 12.4 m

10.loser: 1550, winner: 171011.Rachel: Dh 30 000, Tom: Dh 18 000

12.(a)(b)(c)s = C – Dn(d)

13.(a)24.2 cm or 242 mm(b)54 m

14.Dh 198015.198 m2

16.201.1 m217.27 cm18.13 273.2 cm2

19.(a)28.98 cm3 or 28 980 mm3(b)114 991.72 m3

M070 FWC lv review 5