Math Atlas

유리식의 덧셈과 뺄셈Adding & Subtracting Rational Expressions · 문제집Worksheet

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문제Problem 1 몸풀기Warm-up

계산하라: 2xx+1+3x+1\dfrac{2x}{x+1} + \dfrac{3}{x+1}

Compute: 2xx+1+3x+1\dfrac{2x}{x+1} + \dfrac{3}{x+1}

문제Problem 2 몸풀기Warm-up

계산하고 간단히 하라: 52x+12x\dfrac{5}{2x} + \dfrac{1}{2x}

Compute and simplify: 52x+12x\dfrac{5}{2x} + \dfrac{1}{2x}

문제Problem 3 몸풀기Warm-up

계산하라: 3x+2x2\dfrac{3}{x} + \dfrac{2}{x^2}

Compute: 3x+2x2\dfrac{3}{x} + \dfrac{2}{x^2}

문제Problem 4 몸풀기Warm-up

계산하라: 1x+2+1x2\dfrac{1}{x+2} + \dfrac{1}{x-2}

Compute: 1x+2+1x2\dfrac{1}{x+2} + \dfrac{1}{x-2}

문제Problem 5 핵심Core

계산하라: 2x1+3x+4\dfrac{2}{x-1} + \dfrac{3}{x+4}

Compute: 2x1+3x+4\dfrac{2}{x-1} + \dfrac{3}{x+4}

문제Problem 6 핵심Core

계산하라: xx+3x1x+3\dfrac{x}{x+3} - \dfrac{x-1}{x+3}

Compute: xx+3x1x+3\dfrac{x}{x+3} - \dfrac{x-1}{x+3}

문제Problem 7 핵심Core

계산하라: xx291x3\dfrac{x}{x^2-9} - \dfrac{1}{x-3}

Compute: xx291x3\dfrac{x}{x^2-9} - \dfrac{1}{x-3}

문제Problem 8 핵심Core

계산하라: 2x2x+3x\dfrac{2}{x^2-x} + \dfrac{3}{x}

Compute: 2x2x+3x\dfrac{2}{x^2-x} + \dfrac{3}{x}

문제Problem 9 핵심Core

풀어라: 2x+12=1\dfrac{2}{x} + \dfrac{1}{2} = 1

Solve: 2x+12=1\dfrac{2}{x} + \dfrac{1}{2} = 1

문제Problem 10 도전Challenge

풀어라: xx32=3x3\dfrac{x}{x-3} - 2 = \dfrac{3}{x-3}

Solve: xx32=3x3\dfrac{x}{x-3} - 2 = \dfrac{3}{x-3}

문제Problem 11 도전Challenge

풀어라: 1x+1x+3=12\dfrac{1}{x} + \dfrac{1}{x+3} = \dfrac{1}{2}

Solve: 1x+1x+3=12\dfrac{1}{x} + \dfrac{1}{x+3} = \dfrac{1}{2}

문제Problem 12 도전Challenge

계산하라: x+1x1x1x+1\dfrac{x+1}{x-1} - \dfrac{x-1}{x+1}

Compute: x+1x1x1x+1\dfrac{x+1}{x-1} - \dfrac{x-1}{x+1}

문제Problem 13 경시Contest

합을 구하라:

112+123+134++1910\frac{1}{1\cdot2} + \frac{1}{2\cdot3} + \frac{1}{3\cdot4} + \cdots + \frac{1}{9\cdot10}

Find the sum:

112+123+134++1910\frac{1}{1\cdot2} + \frac{1}{2\cdot3} + \frac{1}{3\cdot4} + \cdots + \frac{1}{9\cdot10}