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Integers Questions

1.  The sum of two numbers exceeds their product by one. Their difference is equal to their product less five. Find the two numbers. (3mks)

2.   3x – 1 > -4

  2x + 1≤ 7

 

3.  Find the value of x

 2(x-3) x 8(x+2) = 128  

 

 

4.  Evaluate -12 ÷ (-3) x 4 – (-15)

  -5 x 6 ÷ 2 + (-5)

5.  Without using a calculator/mathematical tables, evaluate leaving your answer as a simple

fraction

(-4)(-2) + (-12)  (+3) + -20 +(+4) + -6)

-9 –(15) 46- (8+2)-3

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6.  Given that P = and R = and if Z = P-1R. Find Z


 

 

7.  Evaluate -8  2 + 12 x 9 – 4 x 6  

56 7 x 2

 

 

 

 

 

 

Integers Answers

 

1.

Let the number be x and y

x + y = xy – 1  

y – x = xy – 5  

x + y + 1 = xy

y – x + 5 + = xy

x + y + 1 = y – x + 5

2x = 4 x = 2

Y – 2 + 5 = 2y = y = 3

 

B1

 

B1

 

 

B1

 
  

03

 

 

2.  X > -1

X ≥ 3

 

3.  2x 23 x 8 xx 82 = 128

2x 23 x 23x x 82 = 128

Let 2x be y

y/8 x y3 x 64 = 128

8y/8 = 128/8

y4 = 16 M1

y4 = 24 M1

y = 2 A1

  -5 x 6 ÷ 2 + (-5)

4.  -12 -3 = 4

4 x 4 + 15

Numerator 16 + 15 = 31

Denominator -5 x 3 + -5 = 31

-15 + -5

-15 + -5

= -20

  31

  -20

= – 1 11/20

 

5.  = (-8) – (-4) + (-16) + (-6)

  -9 + 15 46 -13

= -12 + -22

6 33

= -2 – 2

  3

= -2 2

  3

6.

P-1 =  

 

 

1

5

 

 

 

P-1 R =   =

 

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=

 

 

7.  -8 2 + 12 x 9 – 4 x 6

 56  7 x 2

  = -4 + 108 – 24

16

  80

  1. = 5



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