## Elementary Algebra: first course |

### Other editions - View all

### Common terms and phrases

a²b² added algebraic altitude arithmetical means Ax² binomial Binomial Theorem butter fat called cents coefficient computed containing cube root cubic decimal denominator diameter digits distance divided dividend divisor equal EXAMPLE EXERCISES Find EXERCISES Solve exponent expression factors feet Find the length Find the number Find the sum Find the value formula fraction gives graphically Hence imaginary numbers inches linear equations loga logarithm mantissa monomial multiplied negative numbers obtained Pages polynomial pounds problems proportion quadratic equation quadratic surd quotient radius ratio remainder sign of grouping similar terms Simplify solution specific gravity square root subtract SUPPLEMENTARY EXERCISES surds triangle trinomial unknown number weight zero

### Popular passages

Page 86 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 112 - L = length of stroke in feet. A = area of piston in square inches. n = number of strokes per minute (rpm X 2).

Page 84 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.

Page 177 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.

Page 233 - When the given number contains more than three figures, use is made of the principle that when the difference of two numbers is small compared with either of them, the difference of the numbers is approximately proportional to the difference of their logarithms.

Page 236 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 209 - A tree casts a shadow 48 ft. long when a vertical rod 6 ft. high casts a shadow 4 ft. long. How high is the tree ? 4.

Page 163 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.

Page 172 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 171 - In any proportion, the product of the extremes equals the product of the means.