A KEY

ΤΟ

MALE PUPIL TEACHERS'

EXAMINATION

QUESTIONS IN ALGEBRA

TO SEPTEMBER 1879 (INCLUSIVE).

BY

THOMAS ATKINS,

HEAD MASTER OF ST. JAMES' SCHOOLS, WEST END, SOUTHAMPTON;

AUTHOR OF

'ATKINS' STANDARD arithmetics,' 'ATKINS' STANDARD EXAMINATION SUMS,' AND 'ATKINS' ARITHЯETICAL EXAMINATION PAPers.'

LONDON: JOSEPH

HUGHES,

HREE TUNS PASSAGE, PATERNOSTER SQUARE, E.C.

MORRISON AND GIBB, EDINBURGH.

FRINTERS TO HER MAJESTY'S STATIONERY OFFICE

Miscellaneous on Addition, Subtraction, Multiplication, and Divi

sion,

Miscellaneous on the above generally,

Simplification (involving a Knowledge of the Whole of the

Miscellaneous Exercises,

Square Root,

Simple Equations of One Unknown,

Problems leading to Simple Equations of One Unknown,

Cube Root,

Simultaneous Equations of the First Degree of Two Unknowns,

Problems leading to Simple Equations of the First Degree of Two

or more Unknowns,

Quadratic Equations (involving One Unknown Quantity), .

Problems leading to Quadratics of One Unknown,

SOLUTIONS OF EXAMINATION

QUESTIONS IN ALGEBRA.

INTRODUCTORY.

1. For signs see Mansford's Algebra, page 5.

For vinculum see Mansford's Algebra, page 13.

2. See Mansford, page 5. < means less than; > means greater than; √ is the symbol which denotes that the square root of the quantity over which it is placed is required to be found.

3. See No. I. ... denotes therefore; denotes because.

(2+3)++2.22.32=2+3+4.2.3(2+3)2.
5*+72=24+3 +24.5%.
625+72=16+81 +600.
697-697.

BRACKETS-Simplification.

1. (a-b-c)+(b+c−d) − (c−d-f)-(f+g−c)

=a-b-c+b+c−d-c+d+f-f-g+c

=a-g.