## First Course in Algebra |

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### Common terms and phrases

a²x² ab² altitude arithmetic ax² ax³ base binomial Check coefficient consecutive numbers curve decimal degree denominator digits distance divided division divisor dollars equal EXAMPLES EXERCISES exponent expression extracting the square feet longer Find the numbers Find the rate fraction gives graph Hence hypotenuse imaginary inches integral less letter linear equations miles an hour miles per hour minus monomial Multiplying negative numbers numbers whose sum obtained parentheses Perform the indicated perimeter polynomial positive number pounds preceding problems quadratic equation quotient radical radicand rationalizing factor rectangle remainder represent result right triangle RULE set of roots side Similarly Simplify Solution Solve square root Substituting subtraction symbols tion Transposing trapezoid travels trinomial twice variables width Write x²y xy² y-distance zero

### Popular passages

Page 316 - Given that the area of a circle varies as the square of its radius...

Page 183 - 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 78 - 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 75 - ... quotient is equal to its exponent in the dividend minus its exponent in the divisor. For example, — = ara~".

Page 234 - ... to the remainder the next period for a new dividend. Double the part of the root already found for a new trial divisor and proceed as before until the desired number of digits of the root have been found.

Page 63 - The Second Power of a number is the product obtained by using the number twice as a factor. Thus, 16 is the second power of 4, since 4x4-- 16.

Page 316 - 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 136 - But we should never forget that adding the same number to or subtracting the same number from both numerator and denominator changes the value of the fraction.

Page 136 - Resolve the numerator and the denominator into their prime factors, and cancel the factors common to both. Ex. 1. Reduce J0 . .

Page 229 - Multiply the divisor thus increased, by the second term of the root, and subtract the product from the remainder.