SAT Practice Test: Video 3 Answers (25 Questions) — Questions and Answers

Question 1: A data set has values: 4, 7, 7, 10, 12. What is the median?

9
8
10
7 (Correct answer)

Correct answer: 7

Arranged in order: 4, 7, 7, 10, 12. The middle value (3rd of 5) is 7.

Question 2: A line of best fit for a scatter plot passes through (0, 3) and (4, 11). What does the slope represent?

The average y-value
The total change
The rate of change per unit increase in x (Correct answer)
The starting value

Correct answer: The rate of change per unit increase in x

Slope = (11-3)/(4-0) = 8/4 = 2. In context, the slope represents how much y increases for each 1-unit increase in x — the rate of change.

Question 3: If every value in a data set increases by 5, what happens to the mean?

It stays the same
It doubles
It increases by 5 (Correct answer)
It increases by 25

Correct answer: It increases by 5

Adding a constant to every value raises the mean by that same constant.

Question 4: A recipe calls for 2.5 cups of flour for every 12 cookies. How many cups are needed for 48 cookies?

5
12
8
10 (Correct answer)

Correct answer: 10

Set up a proportion: 2.5/12 = x/48. Cross-multiply: 12x = 120. x = 10 cups.

Question 5: If 5 workers can paint a fence in 8 hours, how long would it take 10 workers at the same rate?

8 hours
16 hours
2 hours
4 hours (Correct answer)

Correct answer: 4 hours

Total work is 40 worker-hours, so 10 workers finish in 40 ÷ 10 = 4 hours.

Question 6: The phrase 'the die is cast' in a historical novel most likely means:

The actor has been chosen for a role
The enemy has been defeated
An irrevocable decision has been made (Correct answer)
A gambling game has begun

Correct answer: An irrevocable decision has been made

'The die is cast' is an idiom (historically attributed to Julius Caesar) meaning a decisive, irreversible action has been taken.

Question 7: A sentence reads: 'He was not unkind, but neither was he warm.' The most accurate inference about the character is:

He is overly sentimental
He actively harms others
He is emotionally neutral — neither cruel nor compassionate (Correct answer)
He is deeply kind-hearted

Correct answer: He is emotionally neutral — neither cruel nor compassionate

The double negative 'not unkind' softens to a neutral position; 'neither was he warm' confirms emotional detachment without cruelty.

Question 8: A flashback in a novel most commonly serves to:

Signal the end of the story
Provide background information or context for current events (Correct answer)
Introduce a new character
Speed up the narrative pace

Correct answer: Provide background information or context for current events

Flashbacks interrupt the present timeline to reveal past events that explain a character's motivations, relationships, or the current situation.

Question 9: A poet writes: 'Life is a broken-winged bird / That cannot fly.' This is an example of:

Onomatopoeia
Simile
Metaphor (Correct answer)
Personification

Correct answer: Metaphor

A metaphor directly states that one thing IS another. Here, life IS a broken-winged bird — no 'like' or 'as' is used, so it is a metaphor.

Question 10: The 'resolution' of a story is best described as:

The introduction of the conflict
The moment of highest tension
The part where loose ends are tied up after the climax (Correct answer)
The point of view used throughout the narrative

Correct answer: The part where loose ends are tied up after the climax

The resolution (also called denouement) follows the climax and resolves remaining conflicts, returning the story to stability.

Question 11: An author writes that a policy 'failed to deliver the prosperity its champions had promised.' This sentence primarily serves to:

Praise the policy's results
Critique a gap between promise and outcome (Correct answer)
Define an economic term
Introduce a new character

Correct answer: Critique a gap between promise and outcome

The contrast between promised prosperity and failure highlights a shortfall, signaling criticism.

Question 12: The word 'check' in 'new laws to check the spread of disease' most nearly means:

Restrain (Correct answer)
Examine
Pay for
Mark

Correct answer: Restrain

Here 'check' means to halt or restrain the spread, not to inspect.

Question 13: The word 'temper' in 'the editor sought to temper the harsh review' most nearly means:

Print
Soften (Correct answer)
Anger
Lengthen

Correct answer: Soften

As a verb, 'temper' means to moderate or soften something's intensity.

Question 14: In a fiction passage, a character 'forced a smile' when greeting a guest. This detail most strongly implies the character feels:

Physical pain
Genuine joy
Complete indifference
Inward reluctance (Correct answer)

Correct answer: Inward reluctance

A 'forced' smile suggests the friendliness is performed rather than felt.

Question 15: The word 'arrest' in 'the medicine can arrest the infection' most nearly means:

Stop or halt (Correct answer)
Capture a criminal
Speed up
Examine

Correct answer: Stop or halt

In this medical context, 'arrest' means to stop the infection's progress.

Question 16: If 2(3x + 1) = 4(x + 3), what is x?

3
4
5 (Correct answer)
6

Correct answer: 5

Expand: 6x + 2 = 4x + 12. Subtract 4x: 2x + 2 = 12. Subtract 2: 2x = 10. Divide: x = 5.

Question 17: A line passes through (3, 7) and (3, -2). What is the slope?

Undefined (Correct answer)
-9
9
0

Correct answer: Undefined

Both points have x = 3, so this is a vertical line. Vertical lines have undefined slope.

Question 18: If 3x + 2y = 14 and x = 2, what is y?

2
3
4 (Correct answer)
5

Correct answer: 4

Substitute x = 2: 3(2) + 2y = 14 → 6 + 2y = 14 → 2y = 8 → y = 4.

Question 19: Solve the system: y = x + 1 and y = -2x + 7.

(2, 3) (Correct answer)
(3, 4)
(1, 2)
(4, 5)

Correct answer: (2, 3)

Set equal: x + 1 = -2x + 7. Add 2x: 3x + 1 = 7. Subtract 1: 3x = 6. x = 2. Then y = 2 + 1 = 3. Solution: (2, 3).

Question 20: A taxi charges $3.00 plus $1.50 per mile. Which equation represents the total cost C for m miles?

C = 1.50m
C = 3.00 + m
C = 3.00m + 1.50
C = 1.50m + 3.00 (Correct answer)

Correct answer: C = 1.50m + 3.00

The base cost is $3.00 and each mile costs $1.50, so C = 1.50m + 3.00.

Question 21: What is the solution to the system of equations: x + y = 10 and 2x - y = 5?

x = 5, y = 5 (Correct answer)
x = 2, y = 8
x = 4, y = 6
x = 3, y = 7

Correct answer: x = 5, y = 5

To solve the system, add the two equations (x + y = 10) and (2x - y = 5) together. The 'y' terms cancel out, leaving 3x = 15. Dividing by 3 gives x = 5. Substitute x = 5 into the first equation (5 + y = 10) to find y = 5.

Question 22: Which of the following is the solution to the system of equations: y = 2x + 1 and y = -x + 5?

x = -1, y = 2
x = 2, y = 4
x = 1, y = 3 (Correct answer)
x = 0, y = 5

Correct answer: x = 1, y = 3

To solve the system of equations y = 2x + 1 and y = -x + 5, set the expressions for y equal: 2x + 1 = -x + 5. Adding x to both sides gives 3x + 1 = 5, and subtracting 1 yields 3x = 4, so x = 4/3. Substituting x = 4/3 into either equation gives y = 11/3. The provided answer (x=1, y=3) does not satisfy the second equation, as 3 is not equal to -1+5.

Question 23: If a^2 = 49 and a < 0, what is a?

24.5
-49
7
-7 (Correct answer)

Correct answer: -7

The square roots of 49 are 7 and -7, and the negative one is -7.

Question 24: Which of the following is the correct factorization of x^2 - 5x + 6?

(x - 3)(x + 2)
(x + 1)(x - 6)
(x - 2)(x - 3)
(x - 1)(x - 6) (Correct answer)

Correct answer: (x - 1)(x - 6)

To factor the quadratic expression x^2 - 5x + 6, we need to find two numbers that multiply to +6 and add up to -5. These numbers are -2 and -3, leading to the factorization (x - 2)(x - 3). The provided answer (x - 1)(x - 6) is incorrect because (-1) + (-6) equals -7, not -5.

Question 25: What is the value of x in the equation 2x + 5 = 13?

x = 5
x = 4
x = 2
x = 3 (Correct answer)

Correct answer: x = 3

To solve the equation 2x + 5 = 13, first subtract 5 from both sides, which results in 2x = 8. Next, divide both sides by 2 to isolate x, yielding x = 4. Therefore, x=4 is the correct solution to this equation, making the provided answer of x=3 inconsistent with the given equation.

SAT Practice Test: Video 3 Answers (25 Questions)

A data set has values: 4, 7, 7, 10, 12.
What is the median?

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