{"id":5382,"date":"2022-02-06T17:44:11","date_gmt":"2022-02-06T17:44:11","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=5382"},"modified":"2022-02-06T17:44:11","modified_gmt":"2022-02-06T17:44:11","slug":"solving-two-step-equations","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/solving-two-step-equations\/","title":{"rendered":"Solving Two-Step Equations"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Solving Two-Step Equations<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Equations that can be solved in exactly two steps and gives the final value of the variable in two steps are called two step equations and are algebraic equations. These equations are just a little complicated than the one step equations. While solving a two step equation, we need to perform the operation on both sides of the equal to sign. Generally, two step equations are of the form ax + b = c, where a, b, c are real numbers. [\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]The general two steps to solve two step equations are:<\/p>\n<p><strong>Step 1:<\/strong> Eliminate the constant by performing the inverse operation of addition or subtraction to both sides of the equation.<\/p>\n<p><strong>Step 2:<\/strong> Simplify<\/p>\n<p><strong>Step 3:<\/strong> Eliminate the coefficient by performing the inverse operation of multiplication or division on both sides of the equation.<\/p>\n<p><strong>Step 4:<\/strong> Simplify. The remaining equation is the solution to the equation.<\/p>\n<p><strong>Step 5:<\/strong> Check the solution by substituting the found value of the variable into the original equation and simplifying to see if the equality is true.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Solve the equation for ‘j’<\/span><\/strong><br \/>\n<strong>-7j – 2 = – 37<\/strong><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]To solve for j, \u201cundo\u201d each operation in the reverse order.<\/p>\n<p>– 7j – 2 = – 37<\/p>\n<p>– 7j – 2 + (2) = – 37 + (2)\u00a0 \u00a0 \u00a0 \u00a0<strong>Add 2 to each side<\/strong><\/p>\n<p>– 7j = – 35\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>Simplify.<\/strong><\/p>\n<p><strong> <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{-7}{-7}j&space;=\\frac{-35}{-7}\" alt=\"\\fn_phv \\frac{-7}{-7}j =\\frac{-35}{-7}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Divide each side by – 7 <\/strong><\/p>\n<p><span style=\"color: red;\"> <strong>j = 5\u00a0 \u00a0<\/strong><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<strong>Simplify.<\/strong><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Solving Two-Step Equations[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Solve the equation for ‘w’.<\/span><\/strong><br \/>\n12w – 21 = 15<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-two-step-equations\"><img loading=\"lazy\" class=\"alignnone wp-image-5385 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-24.png\" alt=\"\" width=\"112\" height=\"37\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-two-step-equations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Solve the equation for \u201cb\u201d.<\/span><\/strong><br \/>\nWrite the answer as a whole number or a fraction in simplest form.<br \/>\n<img style=\"margin-top: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{2}{7}b-5=4\" alt=\"\\fn_phv \\frac{2}{7}b-5=4\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-two-step-equations\"><img loading=\"lazy\" class=\"alignnone wp-image-5387 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/2-25.png\" alt=\"\" width=\"110\" height=\"101\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-two-step-equations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Select the correct equation and solve it to answer the question.<\/span><\/strong><br \/>\nWhile Cairo was on vacation, he rented a bicycle. He knows that the shop charged $12.50 plus an hourly rate. Suppose he had the bike for 6 hours and paid $41 for the rental. What was the hourly rate?<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-two-step-equations\"><img loading=\"lazy\" class=\"alignnone wp-image-5389 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/3-26.png\" alt=\"\" width=\"298\" height=\"137\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-two-step-equations”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Variable:<\/strong> A symbol, usually a letter, used to represent a number in mathematical expressions or sentences.<\/p>\n<p><strong>Equation:<\/strong> A mathematical sentence stating that two quantities are equal.<\/p>\n<p><strong>One-Step Equation:<\/strong> An equation that contains one operation.<\/p>\n<p>A <strong>two-step equation<\/strong> is an algebraic equation that takes you two steps to solve. [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/3rd-grade\/two-steps-word-problems\"><span style=\"color: #ed5600;\">Two Steps – Word Problems<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/3rd-grade\/one-and-two-steps-word-problems\"><span style=\"color: #ed5600;\">One and two steps – word problems<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/write-variable-expressions-word-problems\"><span style=\"color: #ed5600;\">Write Variable Expressions – Word Problems<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multi-step-word-problems-solve-using-draw-a-picture-strategy\"><span style=\"color: #ed5600;\">Multi-Step Word Problems (Solve Using Draw a Picture Strategy)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multi-step-word-problems-ii\"><span style=\"color: #ed5600;\">Multi-Step Word Problems II<\/span><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1637307711886{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-one-step-equations-by-addition-and-subtraction\"><span style=\"color: #333399;\">Solve One-Step Equations by Addition and Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/solve-one-step-equations-by-multiplying-and-dividing\"><span style=\"color: #333399;\">Solve One-Step Equations by Multiplying and Dividing<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-equations-with-rational-coefficients\"><span style=\"color: #333399;\">Solve Equations with Rational Coefficients<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/write-two-step-equations\"><span style=\"color: #333399;\">Write Two-Step Equations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/Solve%20Two-Sided%20Equations%20with%20Rational%20Coefficients\"><span style=\"color: #333399;\">Solve Two-Sided Equations with Rational Coefficients<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/solve-multi-step-equations\"><span style=\"color: #333399;\">Solve Multi-Step Equations<\/span><\/a><\/p>\n[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Algebra” color=”warning” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Falgebra|title:Algebra||”][vc_btn title=”Functions and equations” color=”danger” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Ffunctions-and-equations|title:Functions%20and%20equations||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Solving Two-Step Equations [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Equations that can be solved in exactly two steps and gives the final value of the variable in two steps are called two step equations and are algebraic […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Solving Two-Step Equations | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/solving-two-step-equations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta 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