Everything Maths Grade 10

34. 16 x 144 b 4 x 12 b 35. 52 y^324 y+4 10 ^5 y+5 36. 64  123  45 303  36 37. 93  202 4  52  35 38. 7 b+ 7b^2 4  7 b+ 3 ...

SOLUTION Step 1: Write as a fraction and simplify (0,008) (^13) ( 8 1000 ) (^13) = ( 1 125 ) (^13) = ( 1 53 )^13 = 1 (^13) 5 (^3 ...

2.4 Exponential equations EMAW Exponential equations have the unknown variable in the exponent. Here are some examples: 3 x+1= 9 ...

Worked example 10: Solving equations by taking out a common factor QUESTION Solve fort: 5 t+ 3: 5 t+1= 400. SOLUTION Step 1: Rew ...

Step 2: Solve forx 3 x= 81or 3 x= 1. However 3 x= 1 is undefined, so: 3 x= 81 3 x= 3^4 x= 4 Thereforex= 4 Worked example 12: Sol ...

SOLUTION Step 1: Rewrite the equation In order to get the equation into a form which we can factorise, we need to rewrite the eq ...

s) 10 x=0,001 t) 2 x (^2) 2 x 3 = 1 u) 8 x 1 2 x 1 = 8: 2 x+ 9 v) 27 x 1 9 x+ 3x+ 1 = 8 9 2.The growth of algae can be modelled ...

End of chapter Exercise 2 – 4: 1.Simplify: a) ( 8 x)^3 b)t^3  2 t^0 c) 52 x+y 5 3(x+z) d) 153 x 1512 x e) 7 y+7 7 y+6 f) 3(d^ ...

k) m^0 +m^1 = 0 l)t (^12) 3 t (^14) 2 = 0 m) 3 p+ 3p+ 3p= 27 n) k^1 7 k (^12) 18 = 0 o) x (^12) 3x (^14) 18 = 0 p) 16 x 1 42 ...

CHAPTER^3 Numberpatterns 3.1 Introduction 60 3.2 Describing sequences 60 3.3 Chapter summary 68 ...

3 Number patterns 3.1 Introduction EMAX In earlier grades you saw patterns in the form of pictures and num- bers. In this chapte ...

Examples: 1.1; 4; 7; 10; 13; 16; 19; 22; 25;: : : There is difference of 3 between successive terms. The pattern is continued by ...

To describe terms in a number pattern we use the following notation: The first term of a sequence isT 1. The fourth term of a se ...

For example, consider the sequence10; 7; 4; 1;: : : To calculate the common difference, we find the difference between any term ...

Step 2: Describe the pattern The number of people seated atntables isTn= 4 + 2 (n1) Step 3: Calculate the 12 thterm, in other wo ...

SOLUTION Step 1: Make a table to see the pattern Number of GB(n) 1 2 3 4 Cost (in Rands) 120 135 150 165 Pattern 120 120 + (1)(1 ...

Exercise 3 – 1: 1.Use the given pattern to complete the table below. Figure number 1 2 3 4 n Number of dots Number of lines Tota ...

b)Determine the formula for thenthterm. c)Use the formula to find how many triangles are in the 25 thpicture of the diagram. 12. ...

3.3 Chapter summary EMA32 See presentation:2F85atwww.everythingmaths.co.za The general term is expressed as thenthterm and is w ...

11.Find the general term in each of the following sequences: a) 3 ; 7 ; 11 ; 15 ;: : : b)2 ; 1 ; 4 ; 7 ;: : : c) 11 ; 15 ; 19 ; ...