Grade 10 National Revision

Absolute Value

100

If a = -3 and b = 1, find the value of 

|a+b|

2

200

If p = -6 and q = 4 find the value of

|(p-4)/(q-1)|

10/3

300

If m = -3 ; n = 55, find the value of

|m² - 1/5 x n|

2

400

If p = -1/2 and q = 3/4, find the value of

|8p - 6| - 5|3-8q|

- 5

Solving Modulus Function

100

Solve for x

|x-2| = 5

-3 or 7

200

Solve for x

|x+5| = -4 

No Solution

300

solve for x

3|x + 7| = 18

-13 or -1

400

Solve for x
|3x - 5| = 2x - 1

6/5 or 4

Factorising Quadratics

100

Factorise

x² + 6x + 8

(x+2)(x+4)

200

Factorise x² - 2x - 35

(x - 7)(x + 5)

300

Factorise

2x² + 3x - 20

(2x-5)(x+4)

400

Factorise

14x² + 3x - 2

(7x - 2)(2x + 1)

Inequalities

100

Solve

|x+3|<2

-5<x<-1

200

Solve

|4x - 5| > 7

x<-1/2 or x>3

300

Solve:

x² - 14x + 45 < 0

5<x<9

400

Solve

4x² + 12x - 40 > 0

x<-5 or x>2