{"id":110236,"date":"2026-08-03T12:10:33","date_gmt":"2026-08-03T06:40:33","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=110236"},"modified":"2026-08-03T17:17:31","modified_gmt":"2026-08-03T11:47:31","slug":"algebra-practice-questions-with-answers","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/","title":{"rendered":"Algebra Practice Questions With Answers, Download PDF"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/#Download_Algebra_Practice_Questions_PDF\" >Download Algebra Practice Questions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/#Attempt_Algebra_Questions_Live_Quiz\" >Attempt Algebra Questions Live Quiz<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/#Sign_Up\" >Sign Up<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/#Login\" >Login<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/#Forgot_Password\" >Forgot Password<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/algebra-practice-questions-with-answers\/#i\" >&nbsp;<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Quant is one of the toughest sections of almost every government examination. Most clerk examination consists of questions from algebra topics. We have come up with some of the most important questions of algebra for all the competitive exams. This blog includes a free PDF containing important algebra questions with answers, along with a live practice quiz to help candidates test their preparation, improve calculation speed and strengthen their problem-solving skills.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-download-algebra-practice-questions-pdf\"><span class=\"ez-toc-section\" id=\"Download_Algebra_Practice_Questions_PDF\"><\/span>Download Algebra Practice Questions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Candidates can download the Algebra Practice Questions PDF for SSC and Railway Exams from the link provided below. The PDF contains important algebra questions with answers to help improve calculation speed, accuracy and problem-solving skills for <a href=\"https:\/\/www.oliveboard.in\/ssc-exams\/?ref=contmk-blog-algebra\" target=\"_blank\" rel=\"noreferrer noopener\">SSC<\/a>,&nbsp;<a href=\"https:\/\/www.oliveboard.in\/railway-exams\/?ref=contmk-blog-algebra\" target=\"_blank\" rel=\"noreferrer noopener\">Railways<\/a>&nbsp;and other competitive exams<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-maths-topic-wise-questions-pdf\/?ref=contmk-blog-algebra\" target=\"_blank\" rel=\"noreferrer noopener\">Download PDF<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Attempt_Algebra_Questions_Live_Quiz\"><\/span>Attempt Algebra Questions Live Quiz<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Solve the Algebra Questions given below and check your performance through the live quiz. The practice set covers algebraic identities, linear equations, quadratic equations, simplification, factorisation, polynomials and algebra-based problems.<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"UTF-8\">\n<link rel=\"stylesheet\" href=\"https:\/\/courses.oliveboard.in\/edge\/css\/login-modal-for-blog.css\">\n\n<style>\n#quiz-1-sticky-header {\n  position: sticky;\n  top: 0;\n  z-index: 100;\n  background: #1565c0;\n  color: #fff;\n  padding: 12px 20px;\n  border-radius: 10px 10px 0 0;\n  display: flex;\n  justify-content: space-between;\n  align-items: center;\n  font-size: 16px;\n  font-weight: bold;\n  box-shadow: 0 2px 8px rgba(0,0,0,0.2);\n  margin: -20px -20px 20px -20px;\n}\n\n#quiz-1-score-badge {\n  background: rgba(255,255,255,0.2);\n  padding: 4px 12px;\n  border-radius: 20px;\n  font-size: 15px;\n  white-space: nowrap;\n}\n#quiz-1 * { box-sizing: border-box; }\n\n#quiz-1 .quiz-container {\n  max-width: 700px;\n  margin: auto;\n  padding: 20px;\n  background: #fff;\n  border-radius: 14px;\n  box-shadow: 0 6px 16px rgba(0,0,0,0.12);\n}\n\n#quiz-1 h2 {\n  text-align: center;\n}\n\n#quiz-1 .question {\n  margin-bottom: 22px;\n}\n\n#quiz-1 .question p {\n  font-weight: bold;\n}\n\n#quiz-1 button {\n  width: 100%;\n  padding: 12px;\n  margin: 6px 0;\n  border: none;\n  border-radius: 6px;\n  background: #e0e0e0;\n  color: #000;\n  font-size: 16px;\n  cursor: pointer;\n}\n\n#quiz-1 button:hover {\n  background: #d5d5d5;\n}\n\n#quiz-1 button.correct {\n  background: #4caf50;\n  color: #000;\n}\n\n#quiz-1 button.wrong {\n  background: #f44336;\n  color: #000;\n}\n\n#quiz-1 button.locked {\n  pointer-events: none;\n}\n\n\/* SUMMARY *\/\n#quiz-1 .final-summary {\n  margin-top: 40px;\n  padding: 20px;\n  border-radius: 14px;\n  background: #fafafa;\n  border: 2px solid #4caf50;\n}\n\n#quiz-1 .final-summary h3 {\n  text-align: center;\n  margin-bottom: 20px;\n}\n\n#quiz-1 .summary-row {\n  display: grid;\n  grid-template-columns: 120px 1fr 40px;\n  gap: 10px;\n  align-items: center;\n  margin-bottom: 12px;\n  font-weight: bold;\n}\n\n#quiz-1 .summary-bar {\n  height: 14px;\n  background: #ddd;\n  border-radius: 10px;\n  overflow: hidden;\n}\n\n#quiz-1 .bar-fill {\n  height: 100%;\n  width: 0%;\n}\n\n#quiz-1 .bar-attempted { background: #2196f3; }\n#quiz-1 .bar-correct { background: #4caf50; }\n#quiz-1 .bar-wrong { background: #f44336; }\n#quiz-1 .bar-unattempted { background: #9e9e9e; width: 100%; }\n\n#quiz-1 .final-score {\n  text-align: center;\n  font-size: 22px;\n  margin-top: 20px;\n}\n\n#quiz-1 .score-value {\n  font-size: 30px;\n  margin-left: 8px;\n}\n<\/style>\n<\/head>\n\n<body>\n<div id=\"quiz-1\">\n  <div class=\"quiz-container\">\n<div id=\"quiz-1-sticky-header\">\n  <span> Attempt Algebra Questions Live Quiz <\/span>\n  <span id=\"quiz-1-score-badge\">Score: <strong id=\"quiz-1-score-value\">0.00<\/strong><\/span>\n<\/div>\n\n    <!-- QUESTIONS -->\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q1. If x + 16\/x = 8, then what is the value of x<sup>2<\/sup> + 32\/x<sup>2<\/sup>?<\/p>\n  <button data-correct=\"true\">18<\/button>\n  <button data-correct=\"false\">15<\/button>\n  <button data-correct=\"false\">20<\/button>\n  <button data-correct=\"false\">12<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q2. If x + 1\/(x + 3) = -1, then what is the value of (x + 4)<sup>4<\/sup>\/(x + 3)<sup>11<\/sup>?<\/p>\n  <button data-correct=\"false\">10<\/button>\n  <button data-correct=\"false\">14<\/button>\n  <button data-correct=\"true\">16<\/button>\n  <button data-correct=\"false\">18<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q3. If b<sup>4<\/sup> + 1\/b<sup>2<\/sup> = 2b, then find the value of b<sup>2<\/sup> &#8211; 1\/b<sup>4<\/sup>.<\/p>\n  <button data-correct=\"false\">1<\/button>\n  <button data-correct=\"false\">-1<\/button>\n  <button data-correct=\"true\">0<\/button>\n  <button data-correct=\"false\">2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q4. If 3<sup>x<\/sup> = 9<sup>y<\/sup> = 27<sup>z<\/sup> and xy + yz + zx = 3xyz, then find the value of 3xyz.<\/p>\n  <button data-correct=\"false\">3\/4<\/button>\n  <button data-correct=\"false\">3<\/button>\n  <button data-correct=\"true\">4<\/button>\n  <button data-correct=\"false\">2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q5. If 9x<sup>2<\/sup> + y<sup>2<\/sup> = 37 and xy = 2, where x, y &gt; 0, then find the value of 27x<sup>3<\/sup> + y<sup>3<\/sup>.<\/p>\n  <button data-correct=\"false\">207<\/button>\n  <button data-correct=\"false\">301<\/button>\n  <button data-correct=\"false\">259<\/button>\n  <button data-correct=\"true\">217<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q6. If a<sup>2<\/sup> + b<sup>2<\/sup> + c<sup>2<\/sup> = a + c &#8211; 1\/2, then find the value of (4a + 2b + c)\/(a + c).<\/p>\n  <button data-correct=\"false\">3\/2<\/button>\n  <button data-correct=\"false\">5\/4<\/button>\n  <button data-correct=\"false\">3\/4<\/button>\n  <button data-correct=\"true\">5\/2<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q7. If x = \u221a(-\u221a3 + \u221a(3 + 8\u221a(7 + 4\u221a3))), where x &gt; 0, then find the value of x.<\/p>\n  <button data-correct=\"false\">1<\/button>\n  <button data-correct=\"true\">2<\/button>\n  <button data-correct=\"false\">3<\/button>\n  <button data-correct=\"false\">4<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q8. If x = \u221a(1 + \u221a3\/2) &#8211; \u221a(1 &#8211; \u221a3\/2), then find the value of (\u221a3 &#8211; x)\/(\u221a3 + x).<\/p>\n  <button data-correct=\"false\">0.25<\/button>\n  <button data-correct=\"true\">0.27<\/button>\n  <button data-correct=\"false\">0.17<\/button>\n  <button data-correct=\"false\">0.19<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q9. If 75<sup>1\/x<\/sup> = 45<sup>1\/y<\/sup> = 15<sup>1\/z<\/sup>, then which of the following statements is true?<\/p>\n  <button data-correct=\"false\">x + y = 2z<\/button>\n  <button data-correct=\"true\">x + y = 3z<\/button>\n  <button data-correct=\"false\">x &#8211; y = 3z<\/button>\n  <button data-correct=\"false\">2x + 3y = 4z<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q10. If a + b + c = 5 and a<sup>3<\/sup> + b<sup>3<\/sup> + c<sup>3<\/sup> &#8211; 3abc = 245, then find the value of ab + bc + ca.<\/p>\n  <button data-correct=\"false\">-6<\/button>\n  <button data-correct=\"false\">-7<\/button>\n  <button data-correct=\"true\">-8<\/button>\n  <button data-correct=\"false\">-9<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q11. If x + y + z = 3, x<sup>2<\/sup> + y<sup>2<\/sup> + z<sup>2<\/sup> = 45 and x<sup>3<\/sup> + y<sup>3<\/sup> + z<sup>3<\/sup> = 69, then find the value of xyz.<\/p>\n  <button data-correct=\"false\">-32<\/button>\n  <button data-correct=\"false\">-35<\/button>\n  <button data-correct=\"true\">-40<\/button>\n  <button data-correct=\"false\">-45<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q12. If x + y + z = 2, xy + yz + zx = -11 and xyz = -12, then find the value of x<sup>3<\/sup> + y<sup>3<\/sup> + z<sup>3<\/sup>.<\/p>\n  <button data-correct=\"false\">42<\/button>\n  <button data-correct=\"true\">38<\/button>\n  <button data-correct=\"false\">46<\/button>\n  <button data-correct=\"false\">40<\/button>\n<\/div>\n\n<div class=\"question\" data-answered=\"false\">\n  <p>Q13. If a + b + c = 6 and a<sup>3<\/sup> + b<sup>3<\/sup> + c<sup>3<\/sup> &#8211; 3abc = 342, then find the value of ab + bc + ca.<\/p>\n  <button data-correct=\"false\">-5<\/button>\n  <button data-correct=\"false\">8<\/button>\n  <button data-correct=\"false\">5<\/button>\n  <button data-correct=\"true\">-7<\/button>\n<\/div>\n\n    <!-- FINAL SUMMARY -->\n    <div class=\"final-summary\">\n      <h3>Quiz Summary <\/h3>\n\n      <div class=\"summary-row\">\n        <span>Attempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-attempted\" data-summary=\"attempted\"><\/div><\/div>\n        <span data-count=\"attempted\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Correct<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-correct\" data-summary=\"correct\"><\/div><\/div>\n        <span data-count=\"correct\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Wrong<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-wrong\" data-summary=\"wrong\"><\/div><\/div>\n        <span data-count=\"wrong\">0<\/span>\n      <\/div>\n\n      <div class=\"summary-row\">\n        <span>Unattempted<\/span>\n        <div class=\"summary-bar\"><div class=\"bar-fill bar-unattempted\" data-summary=\"unattempted\"><\/div><\/div>\n        <span data-count=\"unattempted\">0<\/span>\n      <\/div>\n\n      <div class=\"final-score\">\n        Final Score: <span class=\"score-value\" data-score>0.0<\/span>\n      <\/div>\n    <\/div>\n\n  <\/div>\n<\/div>\n<div class=\"modal modal-obls\" id=\"modal-signup\">\n        <div class=\"modal-background\"><\/div>\n        <div class=\"modal-content\">\n           <div class=\"obls-group\" id=\"obls-group1\">\n               <div class=\"obls-blk\">\n                   <span class=\"img-box\"><img decoding=\"async\" src=\"\/img\/img-delivery.svg\" alt=\"\"><\/span>\n                   <h2 id=\"display-register-text\"><span 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Most clerk examination consists of questions from algebra<\/p>\n","protected":false},"author":50,"featured_media":248753,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10231],"tags":[5157,11407],"class_list":["post-110236","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ssc-railways","tag-e-books","tag-free-quant-practice-paperspdfs","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Algebra Practice Questions With Answers, Download PDF<\/title>\n<meta name=\"description\" content=\"Download PDF of algebra practice questions with answers for all competitive exams. 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I'm a dedicated Government Job aspirant turned passionate writer &amp; content marketer. My blogs are a one-stop destination for accurate and comprehensive information on exam categories like Regulatory Bodies, Banking, SSC, State PSCs, and more. I am on a mission to provide you with all the details you need, conveniently in one place. When I am not writing and marketing, you will find me happily experimenting in the kitchen, cooking up delightful treats. Join me on this journey of knowledge and flavors!\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Algebra Practice Questions With Answers, Download PDF","description":"Download PDF of algebra practice questions with answers for all competitive exams. 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