Intro to Adding and Subtracting Rational Expressions
Read this topicExplanations 5
- (Videos) Rational Expressions Arithmetic by ThinkwellVids In this video by ThinkwellVids, you learn how to add and subtract rational expressions. Summary\large{\text{Summary}}Su…
By Alex Federspiel, Joshua Siktar, Amy Feraco, Anusha Rahman
- (Video) Adding and Subtracting Rational Expressions by yaymath Here's a video by yaymath showing you how to add and subtract rational expressions (or functions). Summary\large{\…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Anusha Rahman
- (Videos) Adding and Subtracting Rational Expressions with Common Denominators by mathman1024 Here's a video by mathman1024 showing how to add and subtract rational expressions w…
By Alex Federspiel, Amy Feraco, Anusha Rahman
- Adding and Subtracting Rational Expressions with Uncommon Denominators Now that we've covered the basics of simplifying rational expressions, we can move on. Let's learn how to …
By Alex Federspiel, Joshua Siktar, Evan Fang, Amy Feraco, Anusha Rahman
- Adding and Subtracting Rational Expressions\textbf{Adding and Subtracting Rational Expressions}Adding and Subtracting Rational Expressions Let's do another example, this time wi…
By Caroline K, Anusha Rahman
Problems 37
- Simplify 10x2+9x−8x2\frac{10x^2 + 9x -8}{x^2}x210x2+9x−8 when x≠0x\ne0x=0.
- Which of the following expressions equal x2x2−2x\frac{x^2}{x^2-2x}x2−2xx2 when x2−2x≠0x^2-2x\ne0x2−2x=0?
- 9x3x−4−8x+33x−4=?\frac{9x}{3x-4} -\frac{8x+3}{3x-4} = ?3x−49x−3x−48x+3=?
- Simplify. 2−xx−82-\frac{x}{x-8}2−x−8x
- 815x +215x=?\frac{8}{15x}\ +\frac{2}{15x}=?15x8 +15x2=?
- 57x −37=?\frac{5}{7x}\ -\frac{3}{7}=?7x5 −73=?
- 2x−6 +1x+4=?\frac{2}{x-6}\ +\frac{1}{x+4}=?x−62 +x+41=?
- 3x+3 +2xx2+7x+12=?\frac{3}{x+3}\ +\frac{2x}{x^2+7x+12} = ?x+33 +x2+7x+122x=?
- Which of the following expressions equals 3x+2−7x−8\frac{3}{x+2}-\frac{7}{x-8}x+23−x−87?
- When x≠−3x\ne -3x=−3, simplify the following expression: x2+5x+1x+3 −4x−5x+3 +7x+9x+3=?\frac{x^2+5x+1}{x+3}\ -\frac{4x-5}{x+3}\ +\frac{7x+9}{x+3}=?x+3x2+5x+1 −x+34x−5 +x+37x+…
- 4x2−16 +3x2+8x+16=?\frac{4}{x^2-16}\ +\frac{3}{x^2+8x+16}=?x2−164 +x2+8x+163=?
- Simplify 1x +1x+1\frac{1}{x}\ +\frac{1}{x+1}x1 +x+11
- Simplify 3x28⋅35x+7x420⋅92x3\frac{3x^2}{8}\cdot\frac{3}{5x}+\frac{7x^4}{20}\cdot\frac{9}{2x^3}83x2⋅5x3+207x4⋅2x39
- If x,yx,yx,y are real numbers with product xy=1xy = 1xy=1, find the maximum possible value of the sum 11+x+11+y\frac{1}{1+x} + \frac{1}{1+y}1+x1+1+y1.
- Find the least positive integer n≥14n\ge 14n≥14 for which n−135n+6\frac{n-13}{5n+6}5n+6n−13 is an unsimplified fraction. Source: AHSME 198519851985
- Let a=1314a=\sqrt{\frac{13}{14}}a=1413. What is 121−a+121+a\frac{12}{1-a}+\frac{12}{1+a}1−a12+1+a12? Source: inspired by AIME 2016
- Simplify 1x+12x+13x\frac1x + \frac1{2x} + \frac1{3x}x1+2x1+3x1.
- 4x+1+5= ?\frac{4}{x+1}+5=\,?x+14+5=?
- Write x25+x5\frac{x^2}{5}+\frac x55x2+5x as a single fraction.
- x28+3x24=?\frac{x^2}{8}+\frac{3x^2}{4} = ?8x2+43x2=?
- Express 1x+x3\frac1x+\frac x3x1+3x as a single fraction.
- Express 6y−2y2\frac{6}{y}-\frac{2}{y^2}y6−y22 as a single fraction in simplest form.
- x−3x=?x-\frac3x=?x−x3=?
- Simplify 14x2+3x−4+1093x−4+x2.\frac{14}{x^2+3x-4}+\frac{109}{3x-4+x^2}.x2+3x−414+3x−4+x2109.
- Simplify 1+xx+x−2x.\frac{1+x}{x}+\frac{x-2}{x}.x1+x+xx−2.
- 2xy+2yx=?\frac{2x}{y}+\frac{2y}{x}=?y2x+x2y=?
- Simplify 12x+35x.\frac{12}{x}+\frac{3}{5x}.x12+5x3.
- Simplify xy−wz\frac{x}{y}-\frac{w}{z}yx−zw over a common denominator. Assume y,z≠0.y, z \neq 0.y,z=0.
- Write 4xy+12y\frac{4}{xy}+\frac{12}{y}xy4+y12 as a single fraction in simplest form.
- Express 1x+1y+1z\frac1x+\frac1y+\frac1zx1+y1+z1 as a single fraction.
- Kerry and Tess are completing study guides for an upcoming math exam. It would take Kerry 202020 hours to complete the study guide. It would take Justin 151515 hours to complete…
- Rhonda takes 101010 hours to plant 500500500 flowers. Ruby takes 666 hours to plant 450450450 flowers. Working together, how long should it take them to plant 150015001500 flowers?
- Melissa and Michael are painting the interior of their new home. The entire task took 363636 hours. It would've taken Melissa 484848 hours to paint the entire house by herself. …
- Simplify the expression. 3xx+8+29\frac{3x}{x+8}+\frac{2}{9}x+83x+92
- Simplify the following expression. 5x+1+43\frac{5}{x+1}+\frac{4}{3}x+15+34
- Simplify the expression. 42x−62+22x−92+282−122x\frac{4}{2}x-\frac{6}{2}+\frac{2}{2}x-\frac{9}{2}+\frac{28}{2}-\frac{12}{2}x24x−26+22x−29+228−212x
- Simplify 4x+35x+7+x+95x+7.\frac{4x + 3}{5x + 7} + \frac{x + 9}{5x + 7}.5x+74x+3+5x+7x+9.