{"id":451,"date":"2024-06-09T11:39:18","date_gmt":"2024-06-09T06:09:18","guid":{"rendered":"https:\/\/jobfocus.in\/test\/?p=451"},"modified":"2024-06-01T11:44:12","modified_gmt":"2024-06-01T06:14:12","slug":"algebra-test-3","status":"publish","type":"post","link":"https:\/\/www.jobfocus.in\/test\/mathematics\/algebra-test-3\/","title":{"rendered":"Algebra Test 3"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Online <strong>Algebra Test 3<\/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 for x: 3^(x &#8211; 1) = 9.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q1\" value=\"0\"> x = 1<\/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=\"1\"> x = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q1\" value=\"0\"> x = 4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>2. If f(x) = x\u00b2 + 4x &#8211; 5, find f(2).<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"0\"> 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"1\"> 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"0\"> 7<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q2\" value=\"0\"> 9<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>3. Factorize the expression: x\u00b2 &#8211; 9.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"0\"> (x + 2)(x &#8211; 2)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"0\"> (x + 3)(x &#8211; 3)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"1\"> (x + 3)(x &#8211; 3)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q3\" value=\"0\"> (x + 9)(x &#8211; 9)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>4. Solve for x: \u221a(2x &#8211; 1) = 3.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"0\"> x = 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"1\"> x = 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"0\"> x = 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q4\" value=\"0\"> x = 7<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>5. If 5x &#8211; 4y = 10 and 3x + 2y = 5, find the value of y.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"1\"> y = 1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"0\"> y = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"0\"> y = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q5\" value=\"0\"> y = 4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>6. Solve for x: log\u2085(x) = 2.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"0\"> x = 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"0\"> x = 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"0\"> x = 10<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q6\" value=\"1\"> x = 25<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>7. If f(x) = x\u00b3 + 5x\u00b2 &#8211; 4x + 2 and g(x) = x &#8211; 3, what is f(g(3))? <\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"1\"> 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"0\"> 9<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"0\"> 14<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q7\" value=\"0\"> 20<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>8. Solve the equation: 2^(x &#8211; 1) = 16.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"0\"> x = 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"1\"> x = 5<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"0\"> x = 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q8\" value=\"0\"> x = 7<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>9. Simplify: sin(x)cos(x) + cos(x)sin(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\"> 2sin(x)cos(x)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q9\" value=\"0\"> cos(x)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q9\" value=\"0\"> sin\u00b2(x) + cos\u00b2(x)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>10. If 2log\u2083(x) = log\u2083(81), what is x?<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"0\"> x = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"0\"> x = 9<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"1\"> x = 27<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q10\" value=\"0\"> x = 81<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>11. Solve for x: 4^(x &#8211; 2) = 16.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"0\"> x = 1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"0\"> x = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"1\"> x = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q11\" value=\"0\"> x = 4<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>12. If f(x) = x\u2074 &#8211; 2x\u00b3 + 3x\u00b2 &#8211; x + 1, find f(1).<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"0\"> -1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"0\"> 0<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"0\"> 1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q12\" value=\"1\"> 2<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>13. Factorize the expression: x\u00b3 &#8211; 8.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"0\"> (x &#8211; 2)\u00b2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"0\"> (x + 2)(x\u00b2 &#8211; 2x + 4)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"0\"> (x &#8211; 2)(x\u00b2 &#8211; 4)<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q13\" value=\"1\"> (x &#8211; 2)(x\u00b2 + 2x + 4)<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>14. Solve for x: \u221a(2x + 3) = 5.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"0\"> x = 8<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"1\"> x = 11<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"0\"> x = 12<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q14\" value=\"0\"> x = 13<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>15. If 4x &#8211; 3y = 7 and 2x + 5y = 3, find the value of x.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"1\"> x = -1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"0\"> x = 1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"0\"> x = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q15\" value=\"0\"> x = -2<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>16. Solve for x: log\u2086(x) = 3.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"0\"> x = 36<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"0\"> x = 6<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"0\"> x = 18<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q16\" value=\"1\"> x = 216<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>17. If f(x) = x\u00b2 &#8211; 3x + 5 and g(x) = 3x + 2, what is f(g(1))? <\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"0\"> 9<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"0\"> 7<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"0\"> 15<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q17\" value=\"1\"> 23<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>18. Solve for x: 5^(x &#8211; 2) = 25.<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"0\"> x = 2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"0\"> x = 3<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q18\" value=\"1\"> x = 4<\/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. Simplify: cos(\u03c0\/3).<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"0\"> 1\/2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"1\"> \u221a(3)\/2<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"0\"> 1<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q19\" value=\"0\"> 0<\/li>\n    <\/ol>\n<\/div>\n\n<div class=\"mcq-question\">\n    <b>20. If log\u2084(x) = 2, what is x?<\/b>\n    <ol class=\"mcq-option\">\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"0\"> x = 4<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"0\"> x = 8<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"1\"> x = 16<\/li>\n        <li><input type=\"radio\" class=\"check-option\" name=\"q20\" value=\"0\"> x = 64<\/li>\n    <\/ol>\n<\/div>\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 3 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-451","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\/451","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=451"}],"version-history":[{"count":2,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/posts\/451\/revisions"}],"predecessor-version":[{"id":453,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/posts\/451\/revisions\/453"}],"wp:attachment":[{"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/media?parent=451"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/categories?post=451"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jobfocus.in\/test\/wp-json\/wp\/v2\/tags?post=451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}