Which expression is equivalent to (5x + 3) + (4x + 7)?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n (5x + 3) + (4x + 7) = 9x + 10<\/strong><\/p>\n\n\n\n To simplify the expression (5x + 3) + (4x + 7)<\/strong>, we are asked to combine like terms<\/strong>. Like terms are terms that have the same variable raised to the same power or constants (numbers without variables). Here’s how to approach it:<\/p>\n\n\n\n Since both sets of parentheses are preceded by a plus sign, you can simply drop the parentheses: (5x+3)+(4x+7)=5x+3+4x+7(5x + 3) + (4x + 7) = 5x + 3 + 4x + 7<\/p>\n\n\n\n Now, group the terms with variables and constants: (5x+4x)+(3+7)(5x + 4x) + (3 + 7)<\/p>\n\n\n\n 9x+109x + 10<\/p>\n\n\n\n This type of problem is an example of simplifying algebraic expressions<\/strong>, a core skill in algebra. It’s important in solving equations, understanding functions, and preparing for more complex math such as factoring, graphing, and calculus.<\/p>\n\n\n\n By simplifying expressions, you make them easier to work with and understand. This is a fundamental part of combining polynomials and helps develop your ability to think logically and mathematically.<\/p>\n\n\n\n The expression (5x+3)+(4x+7)(5x + 3) + (4x + 7)<\/p>\n\n\n\n is equivalent to<\/strong> 9x+10\\boxed{9x + 10}<\/p>\n","protected":false},"excerpt":{"rendered":" Which expression is equivalent to (5x + 3) + (4x + 7)? The correct answer and explanation is: \u2705 Correct Answer: (5x + 3) + (4x + 7) = 9x + 10 \u270d\ufe0f Step-by-Step Explanation: To simplify the expression (5x + 3) + (4x + 7), we are asked to combine like terms. Like terms […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-25278","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=25278"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25278\/revisions"}],"predecessor-version":[{"id":25279,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25278\/revisions\/25279"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\u2705 Correct Answer:<\/h3>\n\n\n\n
\n\n\n\n\u270d\ufe0f Step-by-Step Explanation:<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udd39 Step 1: Remove the parentheses<\/h4>\n\n\n\n
\n\n\n\n\ud83d\udd39 Step 2: Group like terms<\/h4>\n\n\n\n
\n\n\n\n\ud83d\udd39 Step 3: Add the like terms<\/h4>\n\n\n\n
\n
5x+4x=9x5x + 4x = 9x<\/li>\n\n\n\n
3+7=103 + 7 = 10<\/li>\n<\/ul>\n\n\n\n
\n\n\n\n\ud83d\udd39 Step 4: Write the simplified expression<\/h4>\n\n\n\n
\n\n\n\n\ud83d\udca1 Why This Matters:<\/h3>\n\n\n\n
\n\n\n\n\ud83d\udccc Summary:<\/h3>\n\n\n\n