## Elements of Algebra |

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A's chance a+b+c ab² ab³ algebraic arithmetical arithmetical mean arithmetical series arranged binomial black balls cent chance of drawing coefficient cologarithm common factor Complete the square consonants contains cube root denominator denote digits divided divisor dollars equal event EXERCISE exponent expression Extract the root feet Find the H. C. F. Find the number fraction geometrical given greater harmonical series Hence highest common factor hour integral letters logarithm mantissa miles monomial Multiply negative number number of terms obtained polynomial positive pounds quadratic quotient ratio remainder represent Resolve into factors result second term selected side Simplify square root Subtract surd taken unknown quantities vowels white ball whole number wins x²y² yards

### Popular passages

Page 56 - Any term may be transposed from one side of an equation to the other provided its sign be changed.

Page 192 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term. 282. Every affected quadratic may be made to assume the form of aV ± 2 abx = c. To solve such an equation : The first step is to complete the square...

Page 45 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.

Page 150 - Find the value of one of the unknown quantities, in terms of the other and known quantities...

Page 259 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 164 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...

Page 26 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.

Page 135 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.

Page 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.

Page 292 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.