Everything Maths Grade 10

SOLUTION Step 1: Assign variables to the unknown quantities Letbbe the number of bicycles and lettbe the number of tricycles. St ...

Step 3: Use equation(1)to expressbin terms ofj b=j+ 2 Step 4: Substitute into equation(2) b+j= 14 (j+ 2) +j= 14 Step 5: Rearrang ...

Step 3: Substitute equation(1)into(2) 3 (x+ 2) + 5x= 78 Step 4: Rearrange and solve forx 3 x+ 6 + 5x= 78 8 x= 72 )x= 9 Step 5: S ...

Step 4: Find the sign of the integers It is given that both integers must be negative. )n= 34 n+ 1 =34 + 1 = 33 Step 5: Write th ...

15.Masindi is 21 years older than her daughter, Mulivhu. The sum of their ages is 37. How old is Mulivhu? 16.Tshamano is now fiv ...

SOLUTION Step 1: Isolate the required variable We are asked to isolate the height, so we must rearrange the equation withhon one ...

7.Solve forh:A= 2rh+ 2r. 8.Makethe subject of the formula:t= D f  . 9.Solve form:E=mgh+^12 mv^2. 10.Solve forx:x^2 +x(a+b) + ...

Solve 2 x+ 2 = 1: 2 x+ 2 = 1 2 x= 1 2 2 x= 1 x= 1 2 If we represent this answer on a number line, we get: 3 2 1 0 1 2 3 x=^12 ...

Worked example 17: Solving linear inequalities QUESTION Solve forr: 6 r > 2 Represent the answer on a number line and in inte ...

Step 2: Rearrange and solve forq 4 q+ 3< 2 q+ 6 4 q 2 q < 6 3 2 q < 3 Step 3: Divide both sides by 2 2 q < 3 q < ...

Exercise 4 – 6: 1.Look at the number line and write down the inequality it represents. a) 2 1 0 1 2 3 4 5 6 7 x b) 0 1 2 3 4 5 ...

4.8 Chapter summary EMA3K See presentation:2FHKatwww.everythingmaths.co.za A linear equation is an equation where the exponent ...

3.Look at the graph below: 3 2 1 1 2 3 3 2 1 1 2 3 y= 2x+ 1 y= 3x+ 2 x y Solve the equationsy= 3x+ 2andy= 2x+ 1simultaneou ...

6.Solve the following simultaneous equations: a) 7 x+ 3y= 13and 2 x 3 y= 4 b)10 = 2x+yandy=x 2 c) 7 x41 = 3yand17 = 3xy d) 2 x 4 ...

b)Solve forI:P=V I. c)Makemthe subject of the formula:E=mc^2. d)Solve fort:v=u+at. e)Makefthe subject of the formula: 1 u + 1 v ...

o) 1 a 2 2 a 3  1 p) 5  2 k+ 1< 5 q)x1 = 42 x r)(x+ 1)^2 = (x+ 1)(2x+ 3) s) 3 ax+ 2aax= 5ax 6 a t) ax b bx a = a b + 1 u) ...

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CHAPTER^5 Trigonometry 5.1 Introduction 108 5.2 Similarity of triangles 108 5.3 Defining the trigonometric ratios 110 5.4 Recipr ...

5 Trigonometry 5.1 Introduction EMA3M Trigonometry deals with the relationship between the angles and sides of a triangle. We wi ...

A 30 ◦ C B 60 ◦ D 30 ◦ F E 60 ◦ G 30 ◦ K H 60 ◦ Dividing lengths of sides (ratios) AB BC= AB AC= CB AC= DE EF = DE DF= F E DF= G ...