Question

A whole lotta points. Please answer its life and death urgency. I will give everything, including brainliest. But ONLY if you answer the question correctly. Error Analysis – Combining Like Terms Read the word problem. Look at the students work and solution. Identify the error and describe it. Solve the problem correctly. Then share a strategy this student could use to prevent the same error in the future. Sariah was combining like terms. She combined all of them for her solution. Can you find her error? Use vocabulary terms such as LIKE TERMS, COEFFICIENT, CONSTANT, AND VARIABLE. Incorrect Work/Solution Identify and Explain the Error 13x + 5 + 17x – 4.5 + x 18x + 17x – 4.5 + x 35x – 4.5 + x 30.5x + x 31.5x Correct Work/ Solution Share a Strategy

Answer 1

Answer:

The correct answer is 31x + 0.5

Step-by-step explanation:

∵ 13x + 5 + 17x - 4.5 + x

To solve this correctly you must to add the coefficients of the like terms (terms who has same variables or constant terms)

∵ 13x , 17x , x are like terms ⇒ terms with same variable

  (same letters and same power)

∵ 5 , 4.5 are like terms ⇒ constant terms (numbers only)

∴ (13x + 17x + x) + (5 - 4.5) = 31x + 0.5

* The error of first answer:

- 18x + 17x - 4.5 + x

- She add 13x + 5 = 18x ⇒ she add unlike terms

* The error of second answer:

- 35x - 4.5 + x

- She add 13x + 5 + 17x  = 35x ⇒ she add 2 like terms with 1 unlike term

* The error of third answer:

- 30.5x + x

- She add 13x + 5 + 17x - 4.5 = (13x + 17x) + (5 - 4.5) =

  30x + 0.5 ⇒ she add 2 like terms and 2 constant terms

  and then add the 2 unlike answers

* The error of fourth answer:

- 31.5x

- She add 13x + 5 + 17x - 4.5 + x = (13x + 17x + x) + (5 - 4.5) =

  31x + 0.5 ⇒ she add 3 like terms and 2 constant terms

  and then add the 2 unlike answers