{"id":447,"date":"2024-06-08T11:29:59","date_gmt":"2024-06-08T05:59:59","guid":{"rendered":"https:\/\/jobfocus.in\/test\/?p=447"},"modified":"2024-06-01T11:37:22","modified_gmt":"2024-06-01T06:07:22","slug":"algebra-test-2","status":"publish","type":"post","link":"https:\/\/www.jobfocus.in\/test\/mathematics\/algebra-test-2\/","title":{"rendered":"Algebra Test 2"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Online <strong>Algebra Test 2<\/strong> for different Competitive Exams, Entrance Tests &amp; Job Interviews. Test yourself. Take various online tests and find out how well you score before appearing in your upcoming interviews and written tests.<\/p>\n\n\n\n<div id=\"instructionBox\">\n    <h2 style=\"text-align: center;color:#fe5555;\">Instructions<\/h2>\n    <p>Welcome to our <b style=\"color:#fe5555;\">FREE<\/b> online test. Beware of anyone asking for money to take this test.<\/p>\n    <p>Total questions: <b>20<\/b><\/p>\n    <p>Time limit: <b>30 minutes<\/b><\/p>\n    <p>Each question is worth 1 point, and there are no penalties for wrong answers.<\/p>\n    <p>DO NOT refresh the page.<\/p>\n    <p>Good luck!<\/p>\n    <center><button id=\"startButton\" onclick=\"startTest()\">Start Test<\/button><\/center>\n<\/div>\n\n<div id=\"timer\">Time remaining: <span id=\"time\">30:00<\/span><\/div>\n\n<form id=\"quizForm\">\n\n<div class=\"mcq-question\">\n    <b>1. Solve the inequality: 2x + 3 < 11.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q1\" value=\"1\"> x < 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q1\" value=\"0\"> x > 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q1\" value=\"0\"> x > 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q1\" value=\"0\"> x < 2<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>2. If f(x) = x\u00b2 + 3x &#8211; 2, find f(-2).<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"0\"> -6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"1\"> 0<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"0\"> 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"0\"> 4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>3. Factorize the expression: x\u00b3 &#8211; 8.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"0\"> (x &#8211; 2)\u00b2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"0\"> (x + 2)(x\u00b2 &#8211; 2x + 4)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"0\"> (x &#8211; 2)(x\u00b2 &#8211; 4)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"1\"> (x &#8211; 2)(x\u00b2 + 2x + 4)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>4. Solve for x: \u221a(x + 4) = 3.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"0\"> x = 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"0\"> x = 9<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"0\"> x = -7<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"1\"> x = 5, x = -7<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>5. If 4x + 3y = 15 and 2x &#8211; 5y = 1, find the value of x.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"0\"> x = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"0\"> x = 1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"1\"> x = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"0\"> x = 4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>6. Solve the equation for x: 2cos\u00b2(x) &#8211; 3cos(x) + 1 = 0.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"0\"> x = \u03c0\/3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"1\"> x = \u03c0\/6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"0\"> x = 2\u03c0\/3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"0\"> x = \u03c0\/4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>7. Find the value of y if 2log\u2082(y) = log\u2082(32).<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"0\"> y = 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"0\"> y = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"0\"> y = 8<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"1\"> y = 16<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>8. If x + y = 7 and xy = 10, what is the value of x\u00b2 + y\u00b2?<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"0\"> 73<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"1\"> 109<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"0\"> 58<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"0\"> 97<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>9. Simplify: (sin\u00b2(x) &#8211; cos\u00b2(x)) \/ (tan(x) + cot(x)).<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q9\" value=\"0\"> sin(x)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q9\" value=\"1\"> cos(x)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q9\" value=\"0\"> tan(x)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q9\" value=\"0\"> cot(x)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>10. Solve the system of equations: 3x &#8211; 2y = 5 and x\u00b2 + y\u00b2 = 25.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"1\"> x = 4, y = -3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"0\"> x = 2, y = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"0\"> x = 3, y = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"0\"> x = -3, y = 4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>11. Solve for x: e^(2x) = 10.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"0\"> x = ln(10)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"0\"> x = 2ln(10)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"1\"> x = ln(10)\/2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"0\"> x = ln(2) + ln(5)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>12. If f(x) = x\u00b3 &#8211; 2x\u00b2 + x + 1 and g(x) = 2x &#8211; 1, what is f(g(2))? <\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"1\"> 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"0\"> 7<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"0\"> 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"0\"> 9<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>13. If log\u2084(x) = 3, what is x?<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"1\"> x = 64<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"0\"> x = 81<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"0\"> x = 16<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"0\"> x = 27<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>14. Factorize the expression: x\u2074 &#8211; 16.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"0\"> (x &#8211; 4)\u00b2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"1\"> (x &#8211; 2)(x + 2)(x\u00b2 + 4)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"0\"> (x + 4)(x &#8211; 4)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"0\"> (x\u00b2 &#8211; 4)(x\u00b2 + 4)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>15. If 3sin(x) = 4, what is cos(x)?<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"0\"> cos(x) = 4\/3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"0\"> cos(x) = 3\/4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"0\"> cos(x) = 3\/\u221a(7)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"1\"> cos(x) = \u221a(7)\/3<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>16. If log\u2083(x) = 4, what is log\u2083(x\u00b2)?<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"0\"> log\u2083(x) = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"0\"> log\u2083(x) = 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"1\"> log\u2083(x) = 8<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"0\"> log\u2083(x) = 16<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>17. Solve the inequality: |2x &#8211; 5| < 7.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"0\"> 1 < x < 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"0\"> -1 < x < 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"1\"> -1 < x < 6.5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"0\"> -2 < x < 7<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>18. Find the value of x if log\u2082(x &#8211; 2) = 3.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"1\"> x = 10<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"0\"> x = 8<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"0\"> x = 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"0\"> x = 5<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>19. If f(x) = x\u00b2 + 2x + 1 and g(x) = \u221ax, what is f(g(4))? <\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"0\"> 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"1\"> 9<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"0\"> 8<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"0\"> 12<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>20. Solve the equation: sin(x) + cos(x) = 1.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"1\"> x = \u03c0\/2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"0\"> x = \u03c0\/4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"0\"> x = \u03c0<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"0\"> x = 3\u03c0\/2<\/li>\n    <\/ol>\n<\/div>\n\n\n\n    <button type=\"button\" id=\"submitButton\" onclick=\"submitQuiz()\">Submit<\/button>\n<\/form>\n\n<div id=\"countdown\">\n    <div class=\"result-box\" id=\"result\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Online Algebra Test 2 for different Competitive Exams, Entrance Tests &amp; Job Interviews. Test yourself. Take various online tests and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[50],"tags":[56,52],"class_list":["post-447","post","type-post","status-publish","format-standard","hentry","category-mathematics","tag-algebra-test","tag-mathematics-test"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/posts\/447","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/comments?post=447"}],"version-history":[{"count":3,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/posts\/447\/revisions"}],"predecessor-version":[{"id":450,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/posts\/447\/revisions\/450"}],"wp:attachment":[{"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/media?parent=447"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/categories?post=447"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/tags?post=447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}