GED+Math+Post-Assessments+A&E - Math Test Post-Assessment Answers and Explanations

Q: How can you tell which step contains an error in Ray’s equation solving?

Compare each step’s arithmetic and operations against the correct algebra process; the post-assessment identifies Step 2 as the mistake because the sides were adjusted incorrectly.

Sep 14, 2026

Uploaded by Emma Wilson

GED Math test post-assessment answers with step-by-step explanations covering arithmetic and algebra. The material includes evaluating expressions, finding greatest common factors using prime factorization, translating verbal phrases into algebraic expressions, locating values on a number line, and simplifying products with order of operations (PEMDAS). It also includes real-world inequality modeling for meeting lunch budgets, determining maximum purchasable items from a cost formula, diagnosing an equation-solving error by step, and solving a linear inequality.

LanguageEnglish

CategoryExam

FormatPDF

Pages39

Reading Time1 h 38 min

AccessFree to download

Session 1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

GED® Prep Live: Math Test Post-Assessment Answers and Explanations Session 1, Question 1 1. What is the value of 52 – 22? A. 3 B. 6 C. 21 D. 529 Session 1, Question 2 2. What is the greatest common factor that could be used to reduce 3690~~ ~~ ? A. 2 B. 6 C. 9 D. 18 Use prime factorization to solve for the GCF Session 1, Question 3 3. A phrase is shown. seven times the sum of a number, n, and four Which expression represents the phrase? A. 4 (n + 7) B. 7 (n + 4) C. 7n + 4 D. n (4 + 7) Session 1, Question 4 4. Which point on the number line below represents the value 􀀐 166 ? A. Point A B. Point B C. Point C D. Point D Point B is between –2 and –3 Session 1, Question 5 5. Which of the following expressions is equal to the expression 4x − 2 (3x − 9)? A. 18 − 2x B. 10x − 18 C. −2x − 18 D. 10x − 18 Follow the order of operations with PEMDAS: Session 1, Question 6 6. Annie is planning a business meeting for her company. She has a budget of $1,325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is $270. Which inequality shows how to find the amount, x, Annie can spend on lunch for each person? A. 26x + 270 ≥ 1,325 B. 26x + 270 ≤ 1,325 C. 270x + 26 ≥ 1,325 D. 270x + 26 ≤ 1,325 The amount Annie has left to spend on lunch for 26 people is found by subtracting the fixed cost of the room from the total budget. She can spend less than or equal to this amount on lunch, but not more: x 􀁤 $1,325 􀀐 $270 26 26x 􀁤 1,325 􀀐 270 26x 􀀎 270 􀁤 1,325 Session 1, Question 7 7. Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes the caps charges $6 per cap plus a $25 flat shipping fee. Laura has a budget of $1,000 . What is the greatest number of caps she can buy? A. 162 B. 163 C. 166 D. 167 Laura cannot buy half a cap; therefore, she can buy a maximum of 162 complete caps. Session 1, Question 8 8. Ray made an error while solving the following equation. Equation: 3(x 􀀎 6) 􀀠 x 􀀎 8 􀀎 x Step 1: 3 x 􀀎 18 􀀠 2 x 􀀎 8 Step 2: 5 x 􀀎 18 􀀠 8 Step 3: 5 x 􀀠 􀀐 10 Step 4: x 􀀠 􀀐 2 In which step did Ray make an error? A. Step 1 B. Step 2 C. Step 3 D. Step 4 Step 1: distribute 3 and combine like terms – YES! Step 2: subtract 2x from both sides – NO! Step 3: subtract-18 from both sides – YES! Step 4: divide both sides by 5 to solve for x-YES! Ray added 2x to both sides in Step 2, rather than subtract two from both sides, so he made a mistake in Step 2. Session 1, Question 9 9. Solve for x: 12 (x − 2) < 24. A. x < 0 B. x > 0 C. x < 12 D. x < 4

FAQs

How can you tell which step contains an error in Ray’s equation solving?

Compare each step’s arithmetic and operations against the correct algebra process; the post-assessment identifies Step 2 as the mistake because the sides were adjusted incorrectly.

Sep 14, 2026

Uploaded by Emma Wilson