Solutions to Matched Exercises in Algebra Tutorial

The solutions to all the matched exercises in algebra tutorial page are presented.


Matched Exercise 1 Simplify the expression

2(a - 8b) - (5 - b) + b + (6b - 9) - a

Solution to Exercise 1

a - 8b -14

Matched Exercise 2: Solve the equation

2(-x - 5) - (-6 + x) = -3(2x + 4) + 12

Solution to Exercise 2

x = 4/3

Matched Exercise 3: If x > 3, simplify the expression

2| x - 3 | + 6x - (2 - 3x) + | 9 - 20 |

Solution to Exercise 3

11x + 3

Matched Exercise 4: Find the slope and the y-intercept of the line given by the equation

-3y - 6x = 7

Solution to Exercise 4

slope = -2
y intercept at (0 , -7/3)

Matched Exercise 5: Find the equation of the line passing through the points (0 , 3) and (-1 , 1).

Solution to Exercise 5

y = 2x + 3


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