2026/2027 EDITION
Test of Essential Academic Skills Version 7 | Mathematics Section
42 Total Items: 38 Scored + 4 Unscored Pretest | 57-Minute Time Limit
Numbers & Algebra (~57%) | Measurement & Data (~43%)
Verified Answers with Detailed Rationales
Grade A+ | Guaranteed Pass Prep | 2026 Update
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SECTION 1: NUMBERS & ALGEBRA (~57% of Exam)
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DOMAIN 1: ARITHMETIC OPERATIONS & ORDER OF OPERATIONS
1. [SCORED] Solve: 8 + 3 x 4 -
A)) 14
B)) 17
C)) 11
D)) 20
Rationale: Apply the order of operations (PEMDAS/BODMAS): Parentheses, Exponents,
Multiplication/Division (left to right), Addition/Subtraction (left to right). First, multiply: 3 x 4 =
12. Then, divide: = 3. The expression becomes: 8 + 12 - 3 = 20 - 3 = 17. A common error is
performing all operations left to right: 8 + 3 = 11, 11 x 4 = 44, 44 - 3 = 41, which is incorrect. The
order of operations is one of the most frequently tested concepts on the TEAS math section.
2. [SCORED] What is the value of 6 + 3 x 4 - 2^2?
A)) 14
B)) 28
C)) 16
D)) 52
Rationale: Step by step using PEMDAS: (1) Exponents first: 2^2 = 4. (2) Multiplication: 3 x 4 = 12.
(3) Addition and subtraction left to right: 6 + 12 - 4 = 18 - 4 = 14. A common error is performing all
operations left to right (6 + 3 = 9, 9 x 4 = 36, 36 - 4 = 32), which yields an incorrect result. The order
of operations cascades into correct or incorrect answers across algebra, measurement, and word
problems on the TEAS.
3. [SCORED] Evaluate: | -7 | + | 3 | - | -10 |
A)) 0
B)) 4
C)) 20
D)) -4
Rationale: The absolute value of a number is its distance from zero on the number line, always
yielding a non-negative result. Therefore: | -7 | = 7, | 3 | = 3, and | -10 | = 10. The expression
becomes: 7 + 3 - 10 = 10 - 10 = 0. Absolute value is frequently tested on the TEAS because it appears
in healthcare contexts such as calculating net fluid balance, temperature changes, and dosage error
margins.
, 4. [SCORED] A nurse is preparing to administer 3,450 mg of a medication. Each tablet
contains 150 mg. How many tablets should the nurse administer?
A)) 21
B)) 23
C)) 25
D)) 20
Rationale: Divide the total dose by the dose per tablet: 3, = 23 tablets. This is a standard
dosage calculation: Tablets = Dose Ordered / Dose per Tablet. Verify: 23 x 150 = 3,450. This type of
problem appears frequently on the TEAS math section and reflects the kind of calculation nurses
perform daily. Always double-check division by multiplying back to confirm accuracy.
DOMAIN 2: FRACTIONS, DECIMALS & PERCENTAGES
5. [SCORED] Simplify the fraction: 56/84
A)) 3/4
B)) 2/3
C)) 7/12
D)) 4/7
Rationale: To simplify, find the greatest common divisor (GCD) of 56 and 84. The GCD is 28. Divide
both numerator and denominator by 28: 56/28 = 2 and 84/28 = 3. Therefore, 56/84 simplifies to
2/3. Understanding fraction simplification is essential for dosage calculations, ratio expressions,
and proportion problem-solving on the TEAS.
6. [SCORED] Calculate: 1/4 + 3/8 - 1/2
A)) 1/8
B)) 0
C)) 3/4
D)) 1/4
Rationale: To add and subtract fractions, find a common denominator. The least common
denominator (LCD) of 4, 8, and 2 is 8. Convert each fraction: 1/4 = 2/8, 3/8 = 3/8, 1/2 = 4/8.
Calculate: 2/8 + 3/8 - 4/8 = 5/8 - 4/8 = 1/8. A common error is forgetting to convert all fractions to
the common denominator before performing operations, or incorrectly simplifying 1/4 - 1/2 as 0.
Fraction arithmetic is heavily tested on the TEAS.
7. [SCORED] What is 0.375 expressed as a fraction in simplest form?
A)) 3/8
B)) 3/4
C)) 1/3
D)) 5/16
Rationale: To convert a decimal to a fraction, write the decimal as the numerator over the
appropriate power of 10: 0.375 = 375/1000. Simplify by dividing both by 125: 375/125 = 3 and
1000/125 = 8. Therefore, 0.375 = 3/8. Common decimal-fraction equivalencies (0.25 = 1/4, 0.5 =
1/2, 0.75 = 3/4, 0.125 = 1/8, 0.375 = 3/8) are frequently tested on the TEAS and are essential for
dosage calculations.
8. [SCORED] A patient weighs 165 lbs. Convert this weight to kilograms. (1 kg = 2.2 lb)
A)) 72.5 kg
B)) 75 kg
C)) 80 kg
D)) 82.5 kg