{"id":183465,"date":"2025-01-16T13:22:23","date_gmt":"2025-01-16T13:22:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=183465"},"modified":"2025-01-16T13:22:25","modified_gmt":"2025-01-16T13:22:25","slug":"name-date-period-kuta-software-infinite-algebra-1-multi-step-equations-solve-each-equation","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/16\/name-date-period-kuta-software-infinite-algebra-1-multi-step-equations-solve-each-equation\/","title":{"rendered":"Name Date Period Kuta Software &#8211; Infinite Algebra 1 Multi-Step Equations Solve each equation"},"content":{"rendered":"\n<p>Name Date Period Kuta Software &#8211; Infinite Algebra 1 Multi-Step Equations Solve each equation. 1) -20=-4x &#8211; 6x 2) 6 = 1 &#8211; 2n + 5 3) 8x &#8211; 2 = -9+7X 4) a +5=-Sa+5 5) 4m &#8211; 4 = 4m 6) p-1 =5p+3p-8 7) 5p &#8211; 14 = 8p + 4 8) p-4 =-9+ P 9) -8 = -(x + 4) 10) 12-4-6x &#8211; 3) 11) 14 =-p-8) 12)-17-4x) &#8211; 9 13) -18-6k6(1 + 3) 14) 5n+ 34 = -2(1-7) 15) 2(4x &#8211; 3) &#8211; 8 = 4 + 2x 16) 3 &#8211; 5 = -866 +5n) 17) -(1 + 7x) -61-7 &#8211; x) = 36 18) -3(4x + 3) +4(6x + 1) = 43 19) 24a &#8211; 22-41-60) 20) -5(1 &#8211; 5x) + 5(-8x &#8211; 2) = -4x &#8211; 8.x<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s solve each equation step by step:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> -20 = -4x &#8211; 6x<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine like terms: -4x &#8211; 6x = -10x<\/li>\n\n\n\n<li>The equation becomes: -20 = -10x<\/li>\n\n\n\n<li>Divide both sides by -10: x = 2<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> 6 = 1 &#8211; 2n + 5<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine constants on the right: 1 + 5 = 6<\/li>\n\n\n\n<li>The equation becomes: 6 = 6 &#8211; 2n<\/li>\n\n\n\n<li>Subtract 6 from both sides: 0 = -2n<\/li>\n\n\n\n<li>Divide both sides by -2: n = 0<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> 8x &#8211; 2 = -9 + 7x<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 7x from both sides: x &#8211; 2 = -9<\/li>\n\n\n\n<li>Add 2 to both sides: x = -7<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> a + 5 = -5a + 5<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 5 from both sides: a = -5a<\/li>\n\n\n\n<li>Add 5a to both sides: 6a = 0<\/li>\n\n\n\n<li>Divide both sides by 6: a = 0<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> 4m &#8211; 4 = 4m<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 4m from both sides: -4 = 0<\/li>\n\n\n\n<li>This is a contradiction; thus, there is no solution.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> p &#8211; 1 = 5p + 3p &#8211; 8<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine like terms: 5p + 3p = 8p<\/li>\n\n\n\n<li>The equation becomes: p &#8211; 1 = 8p &#8211; 8<\/li>\n\n\n\n<li>Subtract p from both sides: -1 = 7p &#8211; 8<\/li>\n\n\n\n<li>Add 8 to both sides: 7 = 7p<\/li>\n\n\n\n<li>Divide both sides by 7: p = 1<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> 5p &#8211; 14 = 8p + 4<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 5p from both sides: -14 = 3p + 4<\/li>\n\n\n\n<li>Subtract 4 from both sides: -18 = 3p<\/li>\n\n\n\n<li>Divide both sides by 3: p = -6<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> p &#8211; 4 = -9 + p<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract p from both sides: -4 = -9<\/li>\n\n\n\n<li>This is a contradiction; thus, there is no solution.<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> -8 = -(x + 4)<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Distribute the negative sign: -8 = -x &#8211; 4<\/li>\n\n\n\n<li>Add 4 to both sides: -4 = -x<\/li>\n\n\n\n<li>Multiply both sides by -1: x = 4<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Equation:<\/strong> 12 &#8211; 4 &#8211; 6x = -3\n<ul class=\"wp-block-list\">\n<li>Combine constants on the left: 12 &#8211; 4 = 8<\/li>\n\n\n\n<li>The equation becomes: 8 &#8211; 6x = -3<\/li>\n\n\n\n<li>Subtract 8 from both sides: -6x = -11<\/li>\n\n\n\n<li>Divide both sides by -6: x = 11\/6<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Equation:<\/strong> 14 = -p &#8211; 8\n<ul class=\"wp-block-list\">\n<li>Add 8 to both sides: 22 = -p<\/li>\n\n\n\n<li>Multiply both sides by -1: p = -22<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Equation:<\/strong> -17 &#8211; 4x = -9\n<ul class=\"wp-block-list\">\n<li>Add 17 to both sides: -4x = 8<\/li>\n\n\n\n<li>Divide both sides by -4: x = -2<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Equation:<\/strong> -18 &#8211; 6k = 6(1 + 3k)\n<ul class=\"wp-block-list\">\n<li>Distribute on the right: 6 \u00d7 1 + 6 \u00d7 3k = 6 + 18k<\/li>\n\n\n\n<li>The equation becomes: -18 &#8211; 6k = 6 + 18k<\/li>\n\n\n\n<li>Add 18 to both sides: -6k = 24 + 18k<\/li>\n\n\n\n<li>Subtract 18k from both sides: -24k = 24<\/li>\n\n\n\n<li>Divide both sides by -24: k = -1<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Equation:<\/strong> 5n + 34 = -2(1 &#8211; 7n)\n<ul class=\"wp-block-list\">\n<li>Distribute on the right: -2 \u00d7 1 + -2 \u00d7 -7n = -2 + 14n<\/li>\n\n\n\n<li>The equation becomes: 5n + 34 = -2 + 14n<\/li>\n\n\n\n<li>Subtract 5n from both sides: 34 = -2 + 9n<\/li>\n\n\n\n<li>Add 2 to both sides: 36 = 9n<\/li>\n\n\n\n<li>Divide both sides by 9: n = 4<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Equation:<\/strong> 2(4x &#8211; 3) &#8211; 8 = 4 + 2x\n<ul class=\"wp-block-list\">\n<li>Distribute on the left: 2 \u00d7 4x + 2 \u00d7 -3 = 8x &#8211; 6<\/li>\n\n\n\n<li>The equation becomes: 8x &#8211; 6 &#8211; 8 = 4 + 2x<\/li>\n\n\n\n<li>Combine constants on the left: -6 &#8211; 8 = -14<\/li>\n\n\n\n<li>The equation becomes: 8x &#8211; 14 = 4 + 2x<\/li>\n\n\n\n<li>Subtract 2x from both sides: 6x &#8211; 14 = 4<\/li>\n\n\n\n<li>Add 14 to both sides: 6x = 18<\/li>\n\n\n\n<li>Divide both sides by 6: x = 3<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Name Date Period Kuta Software &#8211; Infinite Algebra 1 Multi-Step Equations Solve each equation. 1) -20=-4x &#8211; 6x 2) 6 = 1 &#8211; 2n + 5 3) 8x &#8211; 2 = -9+7X 4) a +5=-Sa+5 5) 4m &#8211; 4 = 4m 6) p-1 =5p+3p-8 7) 5p &#8211; 14 = 8p + 4 8) p-4 =-9+ [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","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":"","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":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-183465","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/183465","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=183465"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/183465\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=183465"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=183465"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=183465"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}