14. Loren is solving an equation using the steps shown. Given: 2x + 4(x – 1) = 3(-x+ 2) Step 1: 2x + 4x - 1 = 3(-x+ 2) Step 2: 2x + 4x – 1 = 3x + 6 Step 3: 6x - 1 = 3x + 6 Step 4: 3x = 5 Step 5: x == %3D Which three statements describe mistakes in Loren's solution? a) Between the Given and Step 1, Loren did not distribute 4 to the second term in parentheses on the left side of the equation. b) Between Step 1 and Step 2, Loren did not include the minus sign in front of the x when distributing the 3 on the right side of the equation. c) Between Step 2 and Step 3, Loren did not combine like terms correctly on the left side of the equation. d) Between Step 3 and Step 4, Loren subtracted the constant term from the right side of the equation instead of adding it. e) Between Step 4 and Step when she should have divided both sides by 5. Loren divided both sides of the equation by 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Topic Video
Question
What’s the answer
14. Loren is solving an equation using the steps shown.
Given: 2x + 4(x – 1) = 3(-x + 2)
Step 1: 2x + 4x – 1 = 3(-x+ 2)
Step 2: 2x + 4x - 1 = 3x + 6
Step 3: 6x – 1 = 3x + 6
Step 4: 3x = 5
Step 5: x =
Which three statements describe mistakes in Loren's solution?
a) Between the Given and Step 1, Loren did not distribute 4 to the second term
in parentheses on the left side of the equation.
b) Between Step 1 and Step 2, Loren did not include the minus sign in front of
the x when distributing the 3 on the right side of the equation.
c) Between Step 2 and Step 3, Loren did not combine like terms correctly on the
left side of the equation.
d) Between Step 3 and Step 4, Loren subtracted the constant term from the
right side of the equation instead of adding it.
e) Between Step 4 and Step 5, Loren divided both sides of the equation by 3
when she should have divided both sides by 5.
Transcribed Image Text:14. Loren is solving an equation using the steps shown. Given: 2x + 4(x – 1) = 3(-x + 2) Step 1: 2x + 4x – 1 = 3(-x+ 2) Step 2: 2x + 4x - 1 = 3x + 6 Step 3: 6x – 1 = 3x + 6 Step 4: 3x = 5 Step 5: x = Which three statements describe mistakes in Loren's solution? a) Between the Given and Step 1, Loren did not distribute 4 to the second term in parentheses on the left side of the equation. b) Between Step 1 and Step 2, Loren did not include the minus sign in front of the x when distributing the 3 on the right side of the equation. c) Between Step 2 and Step 3, Loren did not combine like terms correctly on the left side of the equation. d) Between Step 3 and Step 4, Loren subtracted the constant term from the right side of the equation instead of adding it. e) Between Step 4 and Step 5, Loren divided both sides of the equation by 3 when she should have divided both sides by 5.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education