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Common terms and phrases
algebra amount arithmetic arithmetical series Battersea cent certain number changing the signs collecting the x's common ratio complete the square cost price denominator dividing each side divisor equal equation we find exponent expression farmer bought father's age Find the sum Find the value geometrical series give given Hence horse infinity least common multiple less Let x cost M₁ method metic miles per hour minus Multiplying each side number of sheep number of terms oranges paid pence Performing the multiplication perpendicular person PROBLEMS Pupil quadratic equation question rectangle recurring decimal remainder Required the number required the sides required to find right-angled triangle sell share shillings SIMPLE EQUATIONS Solving this equation Solving this quadratic son's age square quantity square root Subtracting taken Taking the square Teacher total number unknown quantities yards
Popular passages
Page 57 - ... the product of the two, plus the square of the second. In the third case, we have (a + b) (a — b) = a2 — b2. (3) That is, the product of the sum and difference of two quantities is equal to the difference of their squares.
Page 91 - ... is equal to the sum of the first and last terms multiplied by half the number of terms; therefore, the sum of the moments about R, is 5,000 X 5!L±.§!
Page 55 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend. To find the power of a power, multiply the exponents.
Page 15 - Three boys together spent 43 cents; the second spent 5 cents more than the first, and the third twice as much as the second ; how many cents did each spend ? 17.
Page 45 - ... time ; and he finds that he can row 2 miles against the stream in the same time that he rows 3 miles with it : find the rate of the stream, and the time of his going and returning.
Page 69 - A's 49, B's 21 yrs. 24. There is a certain number consisting of two places of figures, which being divided by the sum of its digits, the quotient is 4, and if 27 be added to it, the digits will be inverted ; required the number.
Page 43 - It is required to find a number, such that if it be multiplied by 5, and then added to -9, the result -shall be a square.
Page 58 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Page 81 - If a certain number be divided by the sum of its two digits, the quotient is 4 and the remainder 3.
Page 107 - The area of a triangle is found by multiplying the base by half the altitude.