8/25/26 Math/Chem/English

Reading Comprehension: Fact versus Opinion

In standardized test preparation, distinguishing between factual statements and opinions is a core reading comprehension skill.

Characteristics of Factual Statements

• Verifiability: A fact can be proved or disproved using empirical evidence, measurements, scientific consensus, or historical documentation.

• Objective Nature: Facts remain true regardless of individual feelings, personal preferences, or subjective interpretations.

• Examples:

  • Cats are carnivorous mammals. (Verifiable via biological taxonomy and physiology.)

  • Cats spend up to $50\%$ of their waking hours grooming. (Verifiable through quantitative animal behavior studies.)

  • Cats were first domesticated over $10{,}000$ years ago. (Verifiable through archaeological and genetic data.)

Characteristics of Opinion Statements

• Subjectivity: An opinion reflects personal beliefs, value judgments, feelings, or interpretations.

• Qualitative Descriptors: Opinions frequently employ relative or value-laden adjectives such as better, worse, low maintenance, beautiful, or enjoyable.

• Example:

  • Cats are more low maintenance than dogs. (The term "low maintenance" is subjective and varies according to individual owner experience and criteria.)

English Language Arts: Determining Contextual Meaning

Vocabulary questions on standardized exams often require determining the meaning of a word based on the surrounding sentence or paragraph context.

Context Clues and Structural Contrast

• Juxtaposition: The act or placement of two or more things side-by-side, specifically to highlight contrast or comparison.

• Contextual Example:   > "The juxtaposition of modern skyscrapers against ancient buildings added a striking diversity to the cityscape."

• Breakdown of Context Clues:

  • Comparing two contrasting elements: "modern skyscrapers" placed directly against "ancient buildings".

  • The resulting effect: creating a "striking diversity".

  • Definition derived from context: Placing elements side-by-side to emphasize contrast.

Anatomy and Physiology: Digestive Tract Histology

The gastrointestinal (GI) tract consists of a continuous tube extending from the mouth to the anus. The wall of the GI tract possesses a four-layered tissue structure adapted for digestion, absorption, and propulsion.

Tissue Layers of the GI Tract Wall

1. Mucosa:

   • The innermost layer lining the GI tract lumen.

   • Composed of surface epithelium, lamina propria (connective tissue), and muscularis mucosae (thin smooth muscle layer).

   • Functions primarily in secretion of digestive enzymes and mucus, as well as nutrient absorption.

2. Submucosa:

   • Dense irregular connective tissue layer surrounding the mucosa.

   • Contains blood vessels, lymphatic vessels, submucosal glands, and the submucosal plexus (Meissner's plexus), which controls glandular secretions.

3. Muscularis (Muscularis Externa):

   • Smooth muscle layer typically arranged in an inner circular layer and an outer longitudinal layer.

   • Controlled by the myenteric plexus (Auerbach's plexus).

   • Responsible for mechanical digestion and propulsion, generating rhythmic, wave-like muscle contractions known as peristalsis.

4. Serosa / Adventitia:

   • The outermost protective layer.

   • Composed of visceral peritoneum (serosa) in intraperitoneal organs or fibrous connective tissue (adventitia) in retroperitoneal structures.

Chemistry: Atomic Structure and Isotopes

An atom consists of a central nucleus containing protons and neutrons, surrounded by an electron cloud containing electrons.

Key Subatomic Properties

• Atomic Number ($Z$):   $Z = \text{Number of Protons}$   The atomic number uniquely identifies a chemical element. Changing the number of protons changes the identity of the element.

• Mass Number ($A$):   $A = \text{Protons} + \text{Neutrons}$

• Neutral Atoms:   $\text{Number of Electrons} = \text{Number of Protons}$

Definition and Properties of Isotopes

Isotopes are atoms of the same element that contain the same number of protons ($Z$) but different numbers of neutrons ($N$), resulting in different mass numbers ($A$).

Example 1: Oxygen Isotopes

• Oxygen has an atomic number of $Z = 8$, meaning all oxygen atoms have exactly $8$ protons.

• An isotope such as Oxygen-17 ($^{17}\text{O}$) has:   $\text{Protons} = 8$   $\text{Mass Number } (A) = 17$   $\text{Neutrons} = A - Z = 17 - 8 = 9$

Example 2: Chromium Isotopes

• Chromium ($\text{Cr}$) has an atomic number of $Z = 24$ ($24$ protons and $24$ electrons in a neutral state).

• Comparing Chromium-52 ($^{52}\text{Cr}$) and Chromium-50 ($^{50}\text{Cr}$):   $\text{Neutrons in } ^{52}\text{Cr} = 52 - 24 = 28$   $\text{Neutrons in } ^{50}\text{Cr} = 50 - 24 = 26$   $\Delta \text{Neutrons} = 28 - 26 = 2$

• Chromium-52 has $2$ more neutrons than Chromium-50, while both retain identical numbers of protons ($24$) and electrons ($24$).

TEAS 7 Practice Review Questions and Worked Solutions

Below are key practice review items covering reading, vocabulary, anatomy, and chemistry concepts.

Question 1: Distinguishing Opinion

Which of the following is an opinion?

• A. Cats are carnivorous mammals.

• B. Cats spend up to $50\%$ of their waking hours grooming.

• C. Cats are more low maintenance than dogs.

• D. Cats were first domesticated over $10{,}000$ years ago.

Solution: Option C. Statements A, B, and D are verifiable factual claims. Statement C contains the subjective descriptor "low maintenance," which represents a personal judgment.

Question 2: Isotope Identification of Oxygen

Based on the periodic table, which of the following best describes an isotope of the element Oxygen ($\text{O}$, atomic number $8$)?

• A. An isotope has $9$ protons and $8$ neutrons.

• B. An isotope has $8$ neutrons and an atomic mass of 17$.\n* C. An isotope has 8$protons and an atomic mass of$17$.

• D. An isotope has $9$ protons and an atomic mass of 17$.\n\n**Solution:** Option **C**. An isotope of oxygen must retain an atomic number of 8$($8$protons). Oxygen-17 ($^{17}\text{O}$) consists of$8$protons and$9$neutrons, yielding an atomic mass of$17$.

Question 3: Vocabulary in Context

What is the definition of "juxtaposition" based on the context below?

"The juxtaposition of modern skyscrapers against ancient buildings added a striking diversity to the cityscape."

• A. Demolishing or tearing down

• B. Building or constructing

• C. Placing side-by-side for contrast

• D. Harmonious uniformity

Solution: Option C. Juxtaposition means placing objects side-by-side to emphasize their contrasting qualities.

Question 4: GI Tract Wall Function

Which layer of the digestive tract wall is primarily responsible for the wave-like contractions, known as peristalsis, that propel food forward?

• A. Mucosa

• B. Submucosa

• C. Muscularis

• D. Serosa

Solution: Option C. The muscularis layer (muscularis externa) contains smooth muscle layers responsible for peristalsis and segmentation.

Question 5: Chromium Isotope Comparison

The isotopes Chromium-52 and Chromium-50 have an atomic number of $24$. Which of the following is true?

• A. Chromium-52 has $2$ more electrons than Chromium-50

• B. Chromium-52 has $2$ more neutrons than Chromium-50

• C. Chromium-52 has $2$ more protons than Chromium-50

• D. Chromium-50 has $2$ more neutrons than Chromium-52

Solution: Option B. Both isotopes have $24$ protons and $24$ electrons. Chromium-52 has $52 - 24 = 28$ neutrons, whereas Chromium-50 has $50 - 24 = 26$ neutrons. Thus, Chromium-52 has $2$ more neutrons.