{"id":24620,"date":"2025-06-18T16:31:23","date_gmt":"2025-06-18T16:31:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24620"},"modified":"2025-06-18T16:31:24","modified_gmt":"2025-06-18T16:31:24","slug":"seven-less-than-the-product-of-2-and-a-number-is-equal-to-4","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/seven-less-than-the-product-of-2-and-a-number-is-equal-to-4\/","title":{"rendered":"Seven less than the product of 2 and a number is equal to 4."},"content":{"rendered":"\n

Seven less than the product of 2 and a number is equal to 4.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer:<\/h3>\n\n\n\n

Let the unknown number be x<\/strong>.<\/p>\n\n\n\n

The phrase “the product of 2 and a number”<\/strong> means:2x2x2x<\/p>\n\n\n\n

“Seven less than the product of 2 and a number”<\/strong> means:2x\u221272x – 72x\u22127<\/p>\n\n\n\n

This is said to be equal to 4<\/strong>, so the equation becomes:2x\u22127=42x – 7 = 42x\u22127=4<\/p>\n\n\n\n

Solve the equation:<\/h3>\n\n\n\n

Step 1: Add 7 to both sides:2x\u22127+7=4+7\u21d22x=112x – 7 + 7 = 4 + 7 \\Rightarrow 2x = 112x\u22127+7=4+7\u21d22x=11<\/p>\n\n\n\n

Step 2: Divide both sides by 2:2×2=112\u21d2x=112\\frac{2x}{2} = \\frac{11}{2} \\Rightarrow x = \\frac{11}{2}22x\u200b=211\u200b\u21d2x=211\u200b<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

x=112 or 5.5x = \\frac{11}{2} \\text{ or } 5.5x=211\u200b or 5.5<\/p>\n\n\n\n

\n\n\n\n

Explanation <\/h3>\n\n\n\n

To solve the given problem, we must first understand the wording and translate it into a mathematical expression. The problem reads: \u201cSeven less than the product of 2 and a number is equal to 4.\u201d<\/strong><\/p>\n\n\n\n

The key parts of this sentence are:<\/p>\n\n\n\n

    \n
  • \u201cProduct of 2 and a number\u201d<\/strong>: This refers to multiplication. If the unknown number is represented by x<\/strong>, then the product is written as 2x<\/strong>.<\/li>\n\n\n\n
  • \u201cSeven less than\u201d<\/strong>: This means we are subtracting 7 from the quantity mentioned. In algebra, \u201cseven less than 2x\u201d<\/strong> is written as 2x \u2212 7<\/strong>.<\/li>\n\n\n\n
  • \u201cIs equal to 4\u201d<\/strong>: This tells us what the left-hand side equals. So we write 2x \u2212 7 = 4<\/strong>.<\/li>\n<\/ul>\n\n\n\n

    Once the equation is formed, solving it becomes straightforward. The first step is to isolate the variable x<\/strong>. We do this by first adding 7 to both sides to cancel out the -7. This gives 2x = 11<\/strong>.<\/p>\n\n\n\n

    Next, we divide both sides by 2 to solve for x<\/strong>, giving x = 11\/2<\/strong> or 5.5<\/strong>.<\/p>\n\n\n\n

    The solution tells us that the number we were trying to find is 5.5<\/strong>. If we substitute x = 5.5<\/strong> back into the original expression, we get 2 \u00d7 5.5 = 11<\/strong>, and 11 \u2212 7 = 4<\/strong>, which confirms our answer is correct. This process involves translating language into algebra and then applying basic operations to solve.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Seven less than the product of 2 and a number is equal to 4. The Correct Answer and Explanation is: Correct Answer: Let the unknown number be x. The phrase “the product of 2 and a number” means:2x2x2x “Seven less than the product of 2 and a number” means:2x\u221272x – 72x\u22127 This is said to […]<\/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-24620","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24620","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=24620"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24620\/revisions"}],"predecessor-version":[{"id":24625,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24620\/revisions\/24625"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24620"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24620"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}