{"id":797309,"date":"2024-03-04T13:55:48","date_gmt":"2024-03-04T08:25:48","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=797309"},"modified":"2024-03-04T13:55:48","modified_gmt":"2024-03-04T08:25:48","slug":"ncert-solutions-class-7-maths-chapter-10-algebraic-expressions","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/","title":{"rendered":"NCERT Solutions and Notes for Class 7 Maths Chapter 10: Algebraic Expressions (Free PDF)"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In class 6 Maths, we have studied algebraic expressions including simple calculations using variables like \ud835\udc65 and \ud835\udc9a. We also learned to solve some real-life problems using these variables and algebraic expressions. Before proceeding to solve complex problems, we must note that the central idea of solving algebraic expressions is learning to express the given problem in the correct algebraic equation. Once you determine the algebraic equation correctly, you can use mathematical operations like addition, subtraction, multiplication, and division quite easily. Now, in NCERT Solutions of Class 7 Maths Chapter 10, we will learn to solve algebraic expressions involving squared variables. In this, we will learn to determine the factors and coefficients of a term in the given algebraic expression. Let us now have a look at the NCERT Class 7 Maths Chapter 10 Algebraic Expressions Notes and Solutions (PDF).\u00a0\u00a0<\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size wp-block-paragraph\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1_Mk7Oq2foA1809v96fH_cN1xLYRCLOjM\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 10 &#8211; Algebraic Expressions Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b47e29169d55207c52d26d02aa1e110a wp-block-paragraph\"><strong>Explore all the Chapters of Class Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/\"><strong>Chapter 2<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/\"><strong>Chapter 7<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9<\/strong><\/a><\/td><td>Chapter 10<\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-11-exponents-and-powers\/\"><strong>Chapter 11<\/strong><\/a><\/td><td><strong>Chapter 12<\/strong><\/td><td><strong>Chapter 13<\/strong><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size wp-block-paragraph\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1_Mk7Oq2foA1809v96fH_cN1xLYRCLOjM\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 10 &#8211; Algebraic Expressions Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-notes-class-7-maths-chapter-10-pdf-available\">NCERT Notes Class 7 Maths Chapter 10 &#8211; PDF Available<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Check the topic-wise notes for NCERT Solutions Maths Class 7 Chapter 10, Algebraic Expressions below. You can also download the PDF of the notes and take a printout to study later when you need quick revision before going to the e\ud835\udc65am hall.&nbsp;<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><strong>Top 10 Short Maths Tricks for Comple\ud835\udc65 Problems<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-1-terms-of-an-expression-nbsp\">Topic 1: Terms of an Expression&nbsp;<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Such parts of an expression that are formed separately first and then added are known as terms.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For example, in the expression (4\ud835\udc65<sup>2<\/sup> &#8211; 3\ud835\udc65y), 4\ud835\udc65<sup>2<\/sup> and -3\ud835\udc65y are the terms of the given expression.<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><a href=\"https:\/\/leverageedu.com\/blog\/maths-books-for-competitive-exams\/\"><strong>Maths Books for Competitive E\ud835\udc65ams<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-2-factors-of-a-term\">Topic 2: Factors of a Term<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A term is a product of its factors. In the above example, the factors of the term 4\ud835\udc65<sup>2<\/sup> are 4, \ud835\udc65 and \ud835\udc65.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-3-coefficients-nbsp\">Topic 3: Coefficients&nbsp;<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The numerical factor is said to be the numerical coefficient or simply the coefficient of the term. It is also said to be the coefficient of the rest of the term. In the above example, the coefficient of the term 4\ud835\udc65<sup>2<\/sup> is 4 and of -3\ud835\udc65y is -3.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-4-monomials-binomials-trinomials-and-polynomials\">Topic 4: Monomials, Binomials, Trinomials and Polynomials<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Monomials:<\/strong> An expression with only one term is called a monomial; for example, 7\ud835\udc65y, \u2013 5m, 3z<sup>2<\/sup>, 4 etc.<\/li>\n\n\n\n<li><strong>Binomials:<\/strong> An expression that contains two unlike terms is called a binomial; for example, \ud835\udc65 + y, m \u2013 5, mn + 4m, a<sup>2<\/sup> \u2013 b<sup>2<\/sup> are binomials.&nbsp;<\/li>\n\n\n\n<li><strong>Trinomials:<\/strong> An expression that contains three terms is called a trinomial; for example, the expressions \ud835\udc65 + y + 7, ab + a +b, 3\ud835\udc65<sup>2<\/sup> \u2013 5\ud835\udc65 + 2, m + n + 10 are trinomials.<\/li>\n\n\n\n<li><strong>Polynomials: <\/strong>In general, an expression with one or more terms is called a polynomial. Thus, a monomial, a binomial and a trinomial are all polynomials.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><strong>Maths Formulas for Class 10<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-background has-medium-font-size wp-block-paragraph\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1_Mk7Oq2foA1809v96fH_cN1xLYRCLOjM\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 10 &#8211; Algebraic Expressions Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b47e29169d55207c52d26d02aa1e110a wp-block-paragraph\"><strong>Explore all the Chapters of Class Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/\"><strong>Chapter 2<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/\"><strong>Chapter 7<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9<\/strong><\/a><\/td><td>Chapter 10<\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-11-exponents-and-powers\/\"><strong>Chapter 11<\/strong><\/a><\/td><td><strong>Chapter 12<\/strong><\/td><td><strong>Chapter 13<\/strong><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-solutions-of-class-7-maths-chapter-10-algebraic-expressions-pdf-available\">NCERT Solutions of Class 7 Maths Chapter 10: Algebraic Expressions- PDF Available!\u00a0<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Below we have provided solutions for NCERT Solutions Class 7 Maths Chapter 10, Algebraic Expressions. Go through for answers to some important questions.&nbsp;<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><a href=\"https:\/\/leverageedu.com\/blog\/career-options-in-commerce-without-maths\/\"><strong>Courses and Career Options in Commerce Without Maths in 2023<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-e\ud835\udc65ercise-10-1-solutions\">E\ud835\udc65ercise 10.1 Solutions<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q 1. Get the algebraic expressions in the following cases using variables, constants, and arithmetic operations.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Subtraction of z from y.<\/strong><\/li>\n\n\n\n<li><strong>The number z is multiplied by itself.<\/strong><\/li>\n\n\n\n<li><strong>One-fourth of the product of numbers p and q<\/strong><\/li>\n\n\n\n<li><strong>Number 5 is added to three times the product of numbers m and n.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solutions.<\/strong> The answers are given below.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>y &#8211; z<\/li>\n\n\n\n<li>z<sup>2<\/sup><\/li>\n\n\n\n<li>\u00bc(pq) = pq\/4<\/li>\n\n\n\n<li>3mn + 5&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><strong>SAT Maths Subject Test<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q 2. Identify the numerical coefficients of terms (other than constants) in the following expressions:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>5 &#8211; 3t<\/strong><strong><sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>1 + t + t<\/strong><strong><sup>2<\/sup><\/strong><strong> + t<\/strong><strong><sup>3<\/sup><\/strong><\/li>\n\n\n\n<li><strong>0.1y + 0.01y<\/strong><strong><sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>1.2a + 0.8b<\/strong><\/li>\n\n\n\n<li><strong>-p<\/strong><strong><sup>2<\/sup><\/strong><strong>q<\/strong><strong><sup>2<\/sup><\/strong><strong> + 7pq<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solutions.<\/strong> The answers are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>In the given expression, 5 is a constant. So, in the term -3t<sup>2<\/sup>, the numerical coefficient is -3.<\/li>\n\n\n\n<li>In the given expression, 1 is a constant. So, in the terms t, t<sup>2<\/sup> and t<sup>3<\/sup>, the numerical coefficients are 1, 1 and 1 respectively.<\/li>\n\n\n\n<li>The numerical coefficients of the terms 0.1y and 0.01y<sup>2<\/sup> are 0.1 and 0.01 respectively.<\/li>\n\n\n\n<li>The numerical coefficients of the terms 1.2a and 0.8b are 1.2 and 0.8 respectively.<\/li>\n\n\n\n<li>The numerical coefficients of the terms -p<sup>2<\/sup>q<sup>2<\/sup> and 7pq are -1 and 7 respectively.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><strong>NCERT Class 8 Maths Syllabus<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q 3. Classify into monomials, binomials and trinomials.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>4y \u2013 7z<\/strong><\/li>\n\n\n\n<li><strong>y<\/strong><strong><sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>\ud835\udc65 + y \u2013 \ud835\udc65y<\/strong><\/li>\n\n\n\n<li><strong>z<\/strong><strong><sup>2<\/sup><\/strong><strong> + z<\/strong><\/li>\n\n\n\n<li><strong>1 + \ud835\udc65 + \ud835\udc65<\/strong><strong><sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>z<\/strong><strong><sup>2<\/sup><\/strong><strong> &#8211; 3z + 8<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solutions. <\/strong>The answers are given below.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The given expression contains 2 terms, i.e. 4y and -7z. So it is a <strong>Binomial.<\/strong><\/li>\n\n\n\n<li>The given expression contains only 1 term, i.e. y<sup>2<\/sup>. So, it is a <strong>Monomial.&nbsp;<\/strong><\/li>\n\n\n\n<li>The given expression contains 3 terms, i.e. \ud835\udc65, y and -\ud835\udc65y. So, it is a <strong>Trinomial.&nbsp;<\/strong><\/li>\n\n\n\n<li>The given expression contains 2 terms, i.e. z<sup>2<\/sup> and z. So, it is a <strong>Binomial.&nbsp;<\/strong><\/li>\n\n\n\n<li>The given expression contains 3 terms, i.e. 1, \ud835\udc65 and \ud835\udc65<sup>2<\/sup>. So, it is a <strong>Trinomial.&nbsp;<\/strong><\/li>\n\n\n\n<li>The given expression contains 3 terms, i.e. z<sup>2<\/sup>, -3z and 8. So, it is a <strong>Trinomial.&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background wp-block-paragraph\"><a href=\"https:\/\/leverageedu.com\/blog\/career-after-bsc-maths\/\"><strong>Career after BSc Maths<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-e\ud835\udc65ercise-10-2-solutions\">E\ud835\udc65ercise 10.2 Solutions<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q 1. If m = 2, find the value of:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>3m<\/strong><strong><sup>2<\/sup><\/strong><strong> \u2013 2m \u2013 7<\/strong><\/li>\n\n\n\n<li><strong>9 &#8211; 5m<\/strong><\/li>\n\n\n\n<li><strong>3m &#8211; 5<\/strong><\/li>\n\n\n\n<li><strong>m &#8211; 2<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solutions. <\/strong>Putting m = 2, the solutions of each of the given expressions can be determined. The solutions are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Given: 3m<sup>2<\/sup> \u2013 2m \u2013 7<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Putting m = 2 we get:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 3(2)<sup>2<\/sup> &#8211; 2(2) &#8211; 7&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 3 \u00d7 4 &#8211; 4 &#8211; 7 = 12 &#8211; 11 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting m = 2 comes out to be 1.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>Given: 9 &#8211; 5m<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Putting m = 2 we get:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 9 &#8211; 5(2)&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 9 &#8211; 10 = -1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting m = 2 comes out to be -1.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li>Given: 3m &#8211; 5<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Putting m = 2 we get:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 3(2) &#8211; 5&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 6 &#8211; 5 = 1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting m = 2 comes out to be 1.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li>Given: m &#8211; 2<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Putting m = 2 we get:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 2 -2&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting m = 2 comes out to be 0.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Algebraic Expressions - Chapter 10 - Introduction - NCERT Class 7th Maths Solutions\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/y1YbMPVE5Q0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Source: Mathematics Class VII<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q 2. If p = \u2013 2, find the value of \u2013 2p<\/strong><strong><sup>3<\/sup><\/strong><strong> \u2013 3p<\/strong><strong><sup>2<\/sup><\/strong><strong> + 4p + 7.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solutions: <\/strong>Given: \u2013 2p<sup>3<\/sup> \u2013 3p<sup>2<\/sup> + 4p + 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Putting p = -2 we get:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 \u2013 2(-2)<sup>3<\/sup> \u2013 3(-2)<sup>2<\/sup> + 4(-2) + 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 (-2 \u00d7 -8) &#8211; (3 \u00d7 4) + (4 \u00d7 -2) + 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 16 &#8211; 12 &#8211; 8 + 7 = 3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting p = -2 comes out to be 3.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Q 3. Simplify the expressions and find the value if x is equal to 2.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\ud835\udc65 + 7 + 4 (\ud835\udc65 \u2013 5)<\/strong><\/li>\n\n\n\n<li><strong>4(2\ud835\udc65 &#8211; 1) + 3\ud835\udc65 + 11<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solutions: <\/strong>The solutions are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The given expression can be simplified by putting the terms with alike algebraic factors together. Hence, the given expression can be simplified as:<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 \ud835\udc65 + 7 + (4 \u00d7 \ud835\udc65) \u2013 (4 \u00d7 5)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 \ud835\udc65 + 7 + 4\ud835\udc65 &#8211; 20<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 5\ud835\udc65 -13<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, putting \ud835\udc65 = 2, we get:&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 5(2) &#8211; 13&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 10 &#8211; 13 = -3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting \ud835\udc65 = 2 comes out to be -3.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li>The given expression can be simplified by putting the terms with alike algebraic factors together. Hence, the given expression can be simplified as:<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 (4 \u00d7 2\ud835\udc65) &#8211; (4 \u00d7 1) + 3\ud835\udc65 + 11<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 8\ud835\udc65 &#8211; 4 + 3\ud835\udc65 + 11<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 11\ud835\udc65 + 7<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, putting \ud835\udc65 = 2, we get:&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 11(2) + 7&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">= 22 + 7 = 29<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2234 the value of the given expression by putting \ud835\udc65 = 2 comes out to be 29.<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-350786ce0b780dcc932949c3bd7b9f6b wp-block-paragraph\"><strong>Explore Notes of All subjects of CBSE Class 7:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-7-english\/\"><strong>CBSE NCERT Notes Class 7 English<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-7-history\/\"><strong>CBSE NCERT Notes Class 7 History<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-6-geography\/\"><strong>CBSE NCERT Notes Class 7 Geography<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-7-civics\/\"><strong>CBSE NCERT Notes Class 7 Civics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-7-solutions-and-answers\/\"><strong>CBSE NCERT Notes Class 7 Mathematics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-7-science\/\"><strong>CBSE NCERT Notes Class 7 Science<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Check more informative blogs of NCERT Solutions Class 7 Maths by clicking on the links below.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-table\" style=\"font-size:18px\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1 Integers<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/\"><strong>Chapter 2 Fractions<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3 Data Handling<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4 Simple Equations<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5 Lines and Angles<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6 TheTriangle and Its Properties<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-7-comparing-quantities\/\"><strong>Chapter 7 Comparing Quantities<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8 Rational Numbers<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9 Perimeter and Area<\/strong><\/a><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1700628955053\"><strong class=\"schema-faq-question\">Q.1. What are the terms of an algebraic expression?<\/strong> <p class=\"schema-faq-answer\">Ans: Such parts of an expression that are formed separately first and then added are known as terms.\u00a0<br\/><br\/>For example, in the expression (4\ud835\udc65<sup>2<\/sup> &#8211; 3\ud835\udc65y), 4\ud835\udc65<sup>2<\/sup> and -3\ud835\udc65y are the terms of the given expression.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1700628974712\"><strong class=\"schema-faq-question\">Q.2. What are Monomials?<\/strong> <p class=\"schema-faq-answer\">Ans: An algebraic expression with only one term is called a monomial; for example, 7\ud835\udc65y, \u2013 5m, 3z<sup>2<\/sup>, 4 etc.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1700629034218\"><strong class=\"schema-faq-question\">Q.3. What are Polynomials?<\/strong> <p class=\"schema-faq-answer\">Ans: An expression with one or more terms is called a Polynomial. Thus, a monomial, a binomial and a trinomial are all polynomials.<\/p> <\/div> <\/div>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>Check out more interesting blogs below.&nbsp;<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\" style=\"font-size:18px\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-maths-notes\/\"><strong>Maths Class 6 Notes and Solutions PDF<\/strong><\/a>&nbsp;<\/td><td><strong>CBSE Class 9 Maths Syllabus<\/strong><\/td><\/tr><tr><td><strong>Applied Mathematics and Computation<\/strong><\/td><td><a href=\"https:\/\/leverageedu.com\/learn\/business-mathematics\/\"><strong>Business Mathematics<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/blog\/multiplication-and-division-word-problems\/\"><strong>Multiplication and Division Word Problems<\/strong><\/a><\/td><td><strong>BSc Mathematics: Course, Universities and Scope<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/blog\/bodmas-questions\/\"><strong>BODMAS Questions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/blog\/commerce-with-maths\/\"><strong>Top 20 Career Options in Commerce with Maths Stream<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">This was all about NCERT Solutions Class 7 Maths Chapter 10, Algebraic Expressions in which we studied the terms, factors and coefficients of Algebraic Expressions. Download the NCERT Solutions Class 7 Maths Chapter 10 Notes and Solutions PDF to ace your e\ud835\udc65am preparations. Follow the <a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-7-solutions-and-answers\/\"><strong>CBSE Class 7 Maths Solutions and Notes<\/strong><\/a> for more such chapter notes and important questions and answers for preparation for CBSE Class 7 Maths.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"In class 6 Maths, we have studied algebraic expressions including simple calculations using variables like \ud835\udc65 and \ud835\udc9a.&hellip;\n","protected":false},"author":70,"featured_media":797313,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[477,389],"tags":[],"class_list":["post-797309","post","type-post","status-publish","format-standard","has-post-thumbnail","category-ncert-study-material","category-school-education"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium 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I am Priya. I provide all sorts of educational content. Working in the content domain for the past seven years, I give the most precise student-friendly information. Professionally, I am a Chemist. So, ethically I don't let any error pass on to the content. All my content is fact-based and contains detailed knowledge of the subject.","sameAs":["http:\/\/www.linkedin.com\/in\/priya-garg-ba4478134"],"url":"https:\/\/leverageedu.com\/discover\/author\/priya\/"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/#faq-question-1700628955053","position":1,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/#faq-question-1700628955053","name":"Q.1. What are the terms of an algebraic expression?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: Such parts of an expression that are formed separately first and then added are known as terms.\u00a0<br\/><br\/>For example, in the expression (4\ud835\udc652 - 3\ud835\udc65y), 4\ud835\udc652 and -3\ud835\udc65y are the terms of the given expression.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/#faq-question-1700628974712","position":2,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/#faq-question-1700628974712","name":"Q.2. What are Monomials?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: An algebraic expression with only one term is called a monomial; for example, 7\ud835\udc65y, \u2013 5m, 3z2, 4 etc.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/#faq-question-1700629034218","position":3,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/#faq-question-1700629034218","name":"Q.3. What are Polynomials?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: An expression with one or more terms is called a Polynomial. Thus, a monomial, a binomial and a trinomial are all polynomials.","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/797309","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=797309"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/797309\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/797313"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=797309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=797309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=797309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}