SAT Practice Test: Video 4 Answers (25 Questions) — Questions and Answers

Question 1: The following data shows test scores: 70, 75, 80, 80, 85, 90, 95. What is the mean?

85
82 (Correct answer)
80
82.1

Correct answer: 82

Sum = 70+75+80+80+85+90+95 = 575. Mean = 575/7 ≈ 82.1. Closest answer is B. 82.

Question 2: In a scatter plot, the data points cluster closely around a line going from lower-left to upper-right. This indicates:

A perfect positive correlation
A strong positive correlation (Correct answer)
No correlation
A strong negative correlation

Correct answer: A strong positive correlation

Data clustering tightly around a line going up to the right shows a strong positive correlation.

Question 3: What is the median of the data set {3, 7, 5, 2, 8}?

6
4
5 (Correct answer)
7

Correct answer: 5

To find the median of a data set, the numbers must first be arranged in ascending order. For the set {3, 7, 5, 2, 8}, the ordered sequence is {2, 3, 5, 7, 8}. The median is the middle value in this ordered list, which in this case is 5.

Question 4: If a residual in a regression model is negative, the predicted value is:

Equal to the actual value
Always zero
Less than the actual value
Greater than the actual value (Correct answer)

Correct answer: Greater than the actual value

Residual = actual − predicted, so a negative residual means predicted exceeds actual.

Question 5: What is the value of 3(2x - 4) = 18?

x = 1
x = 2
x = 4
x = 3 (Correct answer)

Correct answer: x = 3

To solve the equation 3(2x - 4) = 18, first divide both sides by 3, which simplifies to 2x - 4 = 6. Next, add 4 to both sides, resulting in 2x = 10. Finally, dividing by 2 yields x = 5, which is the correct solution for the given equation.

Question 6: A character described as having a 'Herculean task' is facing:

A very simple chore
A task requiring enormous strength or effort (Correct answer)
A dangerous legal matter
A creative artistic challenge

Correct answer: A task requiring enormous strength or effort

This is an allusion to Hercules of Greek mythology, known for his incredible strength. A 'Herculean task' requires extraordinary effort or ability.

Question 7: A narrator describes a childhood home as 'a fortress of solitude, its walls thick with silence.' This description primarily suggests:

The home was luxurious and spacious
The family was wealthy and powerful
The narrator felt isolated and alone there (Correct answer)
The home was ancient and crumbling

Correct answer: The narrator felt isolated and alone there

The metaphors 'fortress of solitude' and 'walls thick with silence' evoke feelings of isolation and loneliness, not wealth or decay.

Question 8: In a passage where a character's internal monologue reveals deep regret while her outward dialogue remains cheerful, this technique is called:

Situational irony
Verbal irony
Anaphora
Dramatic irony (Correct answer)

Correct answer: Dramatic irony

Dramatic irony occurs when the reader (or audience) knows something the other characters do not — here, the reader knows the character's true inner state.

Question 9: Read the excerpt: 'The moon, cold and indifferent, watched the lovers part.' The moon is portrayed with which literary device?

Simile
Personification (Correct answer)
Allusion
Metaphor

Correct answer: Personification

The moon is given human qualities — being 'indifferent' and 'watching' — which is personification.

Question 10: A passage describes winter as 'the season that taught the village to endure.' This line most directly suggests that:

Winter was pleasant and welcoming
Winters were catastrophically destructive
Hardship built resilience in the community (Correct answer)
The village was located in the tropics

Correct answer: Hardship built resilience in the community

The personification of winter as a teacher of endurance suggests the community developed resilience through surviving its hardships.

Question 11: Which choice provides the BEST evidence for a claim that a scientist remained skeptical? The strongest support would be a line where the scientist:

Names the experiment
Celebrates the discovery openly
Funds the project generously
Demands further testing before accepting results (Correct answer)

Correct answer: Demands further testing before accepting results

Demanding more testing directly shows ongoing doubt, the definition of skepticism.

Question 12: A passage opens with a vivid description of a storm before discussing climate policy. This opening most likely functions to:

List statistics
Engage readers and set up the topic (Correct answer)
Conclude the argument
Provide legal evidence

Correct answer: Engage readers and set up the topic

A vivid scene draws readers in and introduces the subject the passage will address.

Question 13: A passage states findings were 'preliminary and require replication.' This phrasing indicates the author wants readers to treat the results as:

Final and certain
Fictional
Tentative pending further study (Correct answer)
Irrelevant

Correct answer: Tentative pending further study

'Preliminary' and needing 'replication' mark the results as not yet confirmed.

Question 14: An author writes that critics 'dismissed the idea out of hand.' The phrase 'out of hand' means the critics rejected it:

With written reports
Immediately without consideration (Correct answer)
After careful study
Only partially

Correct answer: Immediately without consideration

To dismiss something 'out of hand' is to reject it instantly without weighing it.

Question 15: In a paired-passage set, Passage 1 argues for strict regulation while Passage 2 favors voluntary compliance. Their relationship is best described as:

One disproving the other's facts
Differing approaches to a shared problem (Correct answer)
Unrelated topics
Identical viewpoints

Correct answer: Differing approaches to a shared problem

Both address the same issue but propose different solutions, a common dual-passage structure.

Question 16: If a line has a negative slope and a positive y-intercept, in which quadrant does it cross the x-axis?

Quadrant I (Correct answer)
Quadrant IV
Quadrant III
Quadrant II

Correct answer: Quadrant I

With positive y-intercept the line starts above the origin. A negative slope means it falls to the right, crossing the x-axis in Quadrant I.

Question 17: Solve for y: 3y - 9 = 2y + 4

9
-5
13 (Correct answer)
5

Correct answer: 13

Subtract 2y from both sides: y - 9 = 4. Add 9 to both sides: y = 13.

Question 18: What is the solution to -4x + 12 = 0?

12
-3
3 (Correct answer)
-12

Correct answer: 3

Add 4x to both sides: 12 = 4x. Divide both sides by 4: x = 3.

Question 19: The equation of a line is 4x - 2y = 8. What is the y-intercept?

4
-2
2
-4 (Correct answer)

Correct answer: -4

Solve for y: -2y = -4x + 8, so y = 2x - 4. The y-intercept (b) is -4.

Question 20: What is the slope of a horizontal line?

-1
0 (Correct answer)
1
Undefined

Correct answer: 0

A horizontal line has no rise (Δy = 0) for any run (Δx ≠ 0), so slope = 0/Δx = 0.

Question 21: If f(x) = 3x^2 - 2x + 1, what is f(2)?

f(2) = 7
f(2) = 5
f(2) = 9
f(2) = 11 (Correct answer)

Correct answer: f(2) = 11

To evaluate f(2) for the function f(x) = 3x^2 - 2x + 1, substitute x=2 into the expression. This gives f(2) = 3(2)^2 - 2(2) + 1, which simplifies to 3(4) - 4 + 1. Performing the arithmetic yields 12 - 4 + 1 = 9. Therefore, f(2) = 9, making the provided answer of f(2)=11 inconsistent with the calculation.

Question 22: If x/3 + 2 = 6, what is x?

24
12 (Correct answer)
8
18

Correct answer: 12

Subtract 2 to get x/3 = 4, then multiply by 3 to get x = 12.

Question 23: What is the slope of the line represented by the equation y = 4x + 3?

1/4
3
0
4 (Correct answer)

Correct answer: 4

The equation y = 4x + 3 is in the slope-intercept form, y = mx + b. In this form, 'm' represents the slope of the line and 'b' represents the y-intercept. By comparing the given equation to the slope-intercept form, we can directly identify the slope 'm' as 4.

Question 24: If a sequence is 3, 7, 11, 15, ..., what is the 10th term?

39 (Correct answer)
37
43
40

Correct answer: 39

The common difference is 4, so the 10th term is 3 + 9(4) = 39.

Question 25: What is the solution to the equation x^2 + 3x - 4 = 0?

x = -4, 1 (Correct answer)
x = 2, -2
x = -1, 4
x = 4, -1

Correct answer: x = -4, 1

To solve the quadratic equation x^2 + 3x - 4 = 0, we can factor the trinomial. We need two numbers that multiply to -4 and add to +3. These numbers are +4 and -1. So, the equation factors to (x + 4)(x - 1) = 0. Setting each factor to zero gives x + 4 = 0 (x = -4) and x - 1 = 0 (x = 1).

SAT Practice Test: Video 4 Answers (25 Questions)

The following data shows test scores: 70, 75, 80, 80, 85, 90, 95.
What is the mean?

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