## An Academic Algebra |

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### Common terms and phrases

a²b a²b² a²x a²x² ab² ab³ algebraic number arithmetical means arithmetical number ax² ax³ binomial Binomial Theorem cent coefficient common common logarithm cube root cx² denominator denote Distributive Law Divide dividend and divisor equal equivalent equations EXAMPLE Exercise expression factors Find the H. C. F. Find the number Find the square Find the value fraction given hence the solutions imaginary laws of exponents loga logarithm mantissa mantissa of log miles an hour monomial Multiply nth root number of dollars number of terms obtain polynomial positive number quadratic equation quotient ratio real number remainder second term sign of grouping solution of system Solve square root Subtract surds Transpose unknown letters variable whole numbers x²y² x³y xy³ zero

### Popular passages

Page 297 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...

Page 187 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.

Page 80 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.

Page 296 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".

Page 224 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.

Page 231 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.

Page 217 - A man walks 35 miles partly at the rate of 4 miles an hour, and partly at 5; if he had walked at 5 miles an hour when he walked at 4, and vice versa, he would have covered 2 miles more in the same time : find the time he was walking.

Page 222 - The fore- wheel of a carriage makes 6 revolutions more than the hind-wheel in going 120 yards ; if the circumference of the...

Page 283 - The sum of two numbers is 7, and the sum of their 4th powers is 641.

Page 323 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.