This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Translate each phrase into an algebraic expression. 1. "a number added to 7" Let the number be x. x + 7 The student's work "n-3=13" is an equation, not an expression for "a number added to 7". 2. "3 times a number take away 4" Let the number be x. "3 times a number" is 3x. "take away 4" means subtract 4. 3x - 4 The student's work "3n - 4" is correct if n represents the number. 3. "Half a number" Let the number be x. "Half a number" means dividing the number by 2. (x)/(2) or (1)/(2)x The student's work "1/2n n/" correctly shows (1)/(2)n or (n)/(2). 4. "5 more than twice a number" Let the number be x. "twice a number" is 2x. "5 more than" means add 5. 2x + 5 The student's work "5p-n" is incorrect. Here are the correct algebraic expressions: 1. A number added to 7: x + 7 2. 3 times a number take away 4: 3x - 4 3. Half a number: (x)/(2) 4. 5 more than twice a number: 2x + 5 Drop the next question 📸