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WGU D126 – Mathematics for Elementary Educators II Exam Questions & Correct Answers | Verified Answers + Rationales 2026 | Q&A | Instant Download PDF

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Institution WGU D126 – Mathematics For Elementary Educators I
Course WGU D126 – Mathematics for Elementary Educators I
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Prepare for the WGU D126 Mathematics for Elementary Educators II assessment with this comprehensive exam-preparation resource. It is designed to help students review important mathematical concepts, practice exam-style questions, and strengthen problem-solving skills. Key areas include algebraic reasoning, patterns and sequences, expressions and equations, inequalities, functions, number systems, ratios and proportions, fractions, decimals, percentages, and mathematical problem solving. The resource includes practice questions, correct answers, and detailed rationales to reinforce understanding, identify knowledge gaps, and support effective exam preparation. Ideal for: WGU D126 students, mathematics education majors, final assessment preparation, practice testing, and comprehensive review.

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WGU D126 – Mathematics for
Elementary Educators I Exam Questions
With Correct Answers (Verified
Answers) Plus Rationales 2026 Q&A |
Instant Download Pdf.
Question 1
Which property of addition is illustrated by the equation ?
A. Associative property
B. Distributive property
C. Commutative property
D. Identity property
Rationale: The commutative property of addition states that changing
the order of the addends does not change the sum. Thus, and both
equal 11. The associative property changes grouping, while the
distributive property involves multiplication over addition or subtraction.


Question 2
Which of the following is the prime factorization of 84?
A.
B.
C.
D.

,Rationale: To find the prime factorization, repeatedly divide 84 by prime
numbers: . Each factor in the final expression is prime.


Question 3
What is the greatest common factor (GCF) of 36 and 48?
A. 6
B. 12
C. 18
D. 24
Rationale: The factors of 36 include 1, 2, 3, 4, 6, 9, 12, 18, and 36. The
factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The greatest
factor shared by both numbers is 12.


Question 4
What is the least common multiple (LCM) of 8 and 12?
A. 16
B. 20
C. 24
D. 48
Rationale: Multiples of 8 include 8, 16, 24, 32, and 40. Multiples of 12
include 12, 24, 36, and 48. The smallest positive number appearing in
both lists is 24, so the LCM is 24.


Question 5

,Which fraction is equivalent to ?
A.
B.
C.
D.
Rationale: Equivalent fractions represent the same quantity. Multiplying
both the numerator and denominator of by 3 gives . The ratio remains
unchanged because the numerator and denominator were multiplied by
the same nonzero number.


Question 6
Which fraction is the greatest?
A.
B.
C.
D.
Rationale: Converting the fractions to decimals makes comparison
straightforward: , , , and . Therefore, is the greatest.


Question 7
What is ?
A.
B.

, C.
D.
Rationale: The least common denominator of 3 and 6 is 6. Rewrite as ,
then add: .


Question 8
What is ?
A.
B.
C.
D.
Rationale: The least common denominator of 6 and 4 is 12. Convert the
fractions: and . Subtracting gives .


Question 9
What is ?
A.
B.
C.
D.
Rationale: Multiply the numerators and denominators: . Simplifying by
dividing numerator and denominator by 2 gives .


Question 10

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