SAT Practice Test: Video 8 Answers (25 Questions) — Questions and Answers

Question 1: A study with a small margin of error generally indicates:

A larger error
An invalid conclusion
A biased sample
A more precise estimate (Correct answer)

Correct answer: A more precise estimate

A smaller margin of error means the estimate is more precise.

Question 2: A restaurant survey shows that 40% of customers order a salad, 35% order soup, and 15% order both. What percentage orders at least one of these?

60% (Correct answer)
75%
55%
50%

Correct answer: 60%

P(A or B) = P(A) + P(B) - P(A and B) = 40% + 35% - 15% = 60%.

Question 3: A bag has 4 red and 6 blue marbles. What is the probability of drawing two red marbles in a row without replacement?

1/5
2/5
4/25
2/15 (Correct answer)

Correct answer: 2/15

P(first red) = 4/10. P(second red | first red) = 3/9. P(both) = 4/10 × 3/9 = 12/90 = 2/15.

Question 4: A train travels at 60 mph for 2 hours and then at 80 mph for 1 hour. What is the total distance?

200 miles (Correct answer)
220 miles
180 miles
260 miles

Correct answer: 200 miles

Distance = rate × time. First part: 60 × 2 = 120 miles. Second: 80 × 1 = 80 miles. Total = 120 + 80 = 200 miles.

Question 5: What is the area of a triangle with a base of 8 units and a height of 6 units?

48 square units
24 square units (Correct answer)
16 square units
14 square units

Correct answer: 24 square units

The area of a triangle is calculated using the formula A = (1/2) * base * height. Given a base of 8 units and a height of 6 units, the calculation is (1/2) * 8 * 6. This simplifies to (1/2) * 48, which results in an area of 24 square units.

Question 6: Which of the following equations has exactly one real root?

x² - 4 = 0
x² + 4x + 5 = 0
x² + 4x + 3 = 0
x² + 4x + 4 = 0 (Correct answer)

Correct answer: x² + 4x + 4 = 0

x² + 4x + 4 = (x + 2)² = 0, giving x = -2 as a repeated root — exactly one real root. Discriminant = 0 confirms this.

Question 7: Which expression equals (x + 3)(x - 3)?

x² - 6x + 9
x² + 6x - 9
x² - 9 (Correct answer)
x² + 9

Correct answer: x² - 9

(x + 3)(x - 3) is the difference of squares pattern: x² - 3² = x² - 9.

Question 8: A function f is defined by f(x) = x² - 6x + 9. Which of the following is true?

It opens downward
Its minimum value is 9
It has two distinct real roots
It factors as (x-3)² and its vertex is (3,0) (Correct answer)

Correct answer: It factors as (x-3)² and its vertex is (3,0)

f(x) = (x - 3)². The vertex is at (3, 0) and it opens upward. It has exactly one (repeated) root at x = 3.

Question 9: Which of the following is equivalent to x² - 9?

(x - 3)²
x(x - 9)
(x + 3)(x - 3) (Correct answer)
(x - 9)(x + 1)

Correct answer: (x + 3)(x - 3)

x² - 9 is a difference of squares: a² - b² = (a + b)(a - b). So x² - 9 = (x + 3)(x - 3).

Question 10: Which of the following is equivalent to (a³b²)²?

a⁶b⁴ (Correct answer)
a⁵b⁴
a⁹b⁴
a⁶b²

Correct answer: a⁶b⁴

Apply power rule to each factor: (a³)² = a⁶ and (b²)² = b⁴. Result: a⁶b⁴.

Question 11: A reference to a well-known person, event, or work is an:

Anecdote
Allusion (Correct answer)
Antithesis
Analogy

Correct answer: Allusion

An allusion is an indirect reference to something widely recognized.

Question 12: Quoting a respected expert to support a claim builds:

Ethos (Correct answer)
Pathos
Hyperbole
Irony

Correct answer: Ethos

Citing credible authorities strengthens ethos through borrowed credibility.

Question 13: Repetition of initial consonant sounds is:

Assonance
Alliteration (Correct answer)
Anaphora
Antithesis

Correct answer: Alliteration

Alliteration is the repetition of initial consonant sounds in nearby words.

Question 14: The word choices an author makes to create tone are referred to as:

Anecdote
Pathos
Diction (Correct answer)
Syntax

Correct answer: Diction

Diction is the author's specific word choice, which shapes tone.

Question 15: A good rhetorical analysis conclusion should:

Restate how the techniques build the argument's effect (Correct answer)
Introduce a brand-new technique
Apologize for any errors
Summarize the passage's plot

Correct answer: Restate how the techniques build the argument's effect

The conclusion should reinforce how the analyzed techniques achieve the author's purpose.

Question 16: A history passage discusses a document that 'served as a template for future democratic constitutions.' The word 'template' most nearly means:

An outdated and rejected plan
A model that others copied or built upon (Correct answer)
A rough draft with many errors
A secret treaty

Correct answer: A model that others copied or built upon

A template is a pattern or model from which copies or adaptations are made — here, the document influenced later constitutions.

Question 17: A passage describes an experiment where the researchers did not know which patients received the actual treatment versus a placebo. This is called:

A double-blind study (Correct answer)
A single-blind study
An open-label trial
A retrospective study

Correct answer: A double-blind study

A double-blind study means neither the participants nor the researchers know who received the treatment, eliminating bias from both sides.

Question 18: A history passage describes a document signed under 'duress.' The word 'duress' most nearly means:

Public celebration
Great enthusiasm
Coercion or extreme pressure (Correct answer)
Careful deliberation

Correct answer: Coercion or extreme pressure

'Duress' means coercion or threats — a document signed under duress was signed unwillingly due to force or pressure, which may affect its legal or moral validity.

Question 19: In a science passage, the author describes a hypothesis as 'falsifiable.' This means:

The hypothesis is known to be false
Only experts can evaluate it
The hypothesis is very difficult to understand
It can be tested and potentially proven wrong by evidence (Correct answer)

Correct answer: It can be tested and potentially proven wrong by evidence

Falsifiability — the ability to be proven wrong by evidence — is a cornerstone of the scientific method. Non-falsifiable claims cannot be tested scientifically.

Question 20: A science passage states that a drug's effect was 'modest but measurable.' This phrase most likely means:

The drug had a very large and dramatic effect
Researchers disagreed on whether the drug worked
The drug had no effect
The drug had a small but statistically detectable effect (Correct answer)

Correct answer: The drug had a small but statistically detectable effect

'Modest' means small; 'measurable' means it could be quantified and detected. Together, the phrase describes a small but real and verifiable effect.

Question 21: Identify the correctly punctuated quotation.

"Wait," she said "I forgot my keys".
"Wait" she said "I forgot my keys."
"Wait", she said, "I forgot my keys."
"Wait," she said, "I forgot my keys." (Correct answer)

Correct answer: "Wait," she said, "I forgot my keys."

Commas separate the interrupted quotation and fall inside the quotation marks.

Question 22: What is the function of a colon in the sentence: There are three main ingredients: flour, sugar, and eggs.

To introduce a quote.
To end a sentence with a dramatic pause.
To introduce a list of items. (Correct answer)
To separate the subject from the verb.

Correct answer: To introduce a list of items.

A colon is appropriately used after an independent clause to introduce a list, an explanation, an elaboration, or a quotation. In this sentence, the colon clearly signals that the following words will enumerate the "three main ingredients" mentioned. This makes it a perfect tool for introducing a list of items.

Question 23: Which of the following sentences is correctly punctuated?

The dog, loudly barked.
The dog, barked loudly.
The dog barked loudly. (Correct answer)
The dog barked, loudly.

Correct answer: The dog barked loudly.

The sentence "The dog barked loudly" is correctly punctuated because "loudly" is an adverb modifying the verb "barked" and does not require a comma. Commas are not used to separate a verb from its adverb when the adverb directly follows the verb and is essential to the meaning, nor are they used between a subject and its verb in such a simple sentence structure.

Question 24: Which sentence avoids a misplaced modifier?

Covered in mud, the boy washed the dog.
Covered in mud, the dog was washed by the boy. (Correct answer)
The boy washed the dog covered in mud near.
Washing covered in mud, the dog ran.

Correct answer: Covered in mud, the dog was washed by the boy.

The modifier "covered in mud" correctly describes the dog being washed.

Question 25: Which sentence places the modifier correctly?

She nearly read the entire book in one night.
She read nearly the entire book in one night. (Correct answer)
Nearly she read the entire book in one night.
She read the entire nearly book in one night.

Correct answer: She read nearly the entire book in one night.

"Nearly" should modify "the entire book," the amount she read.

SAT Practice Test: Video 8 Answers (25 Questions)

A study with a small margin of error generally indicates:

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