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Quizzes > High School Quizzes > Social Studies

AP Human Unit 3 Practice Quiz

Master additional AP Human units with practice tests

Difficulty: Moderate
Grade: Grade 11
Study OutcomesCheat Sheet
Paper art promoting Units 1 3 Unlocked math trivia quiz for high school students grades 9-10

What is the value of 3 + 5 × 2?
16
10
13
8
According to the order of operations, multiplication is performed before addition. Hence, 5 × 2 = 10 and then 3 + 10 equals 13.
Solve for x: 2x + 4 = 10.
4
6
3
2
Subtracting 4 from both sides gives 2x = 6. Dividing by 2 results in x = 3.
Identify the slope and y-intercept in the linear equation y = 2x - 5.
Slope = -5, y-intercept = 2
Slope = 2, y-intercept = -5
Slope = -2, y-intercept = 5
Slope = 2, y-intercept = 5
The equation is in the form y = mx + b where m represents the slope and b the y-intercept. Thus, the slope is 2 and the y-intercept is -5.
Simplify the expression: 3(x + 4) - 2x.
x + 7
x + 12
x + 4
5x + 4
Distribute 3 into (x + 4) to get 3x + 12, then subtract 2x. Combining like terms gives x + 12.
Evaluate the function f(x) = 3x + 2 when x = 4.
10
14
12
18
Substitute x = 4 into the function: f(4) = 3(4) + 2 = 12 + 2, which equals 14.
Solve for x: 3x - 7 = 2x + 5.
-2
2
-12
12
Subtract 2x from both sides to obtain x - 7 = 5. Then add 7 to both sides to find x = 12.
Solve the system of equations: 2x + y = 7 and x - y = 1.
x = 8/3, y = 5/3
x = 5/3, y = 8/3
x = 2, y = 3
x = 3, y = 1
Express y from the second equation as y = x - 1. Substitute into the first equation to get 2x + (x - 1) = 7, which simplifies to 3x = 8, so x = 8/3 and y = 8/3 - 1 = 5/3.
Factor the quadratic expression: x² + 5x + 6.
(x + 1)(x + 6)
(x + 2)(x + 3)
(x + 5)(x + 1)
(x - 2)(x - 3)
The numbers 2 and 3 multiply to 6 and add up to 5. Therefore, the expression factors as (x + 2)(x + 3).
Solve the quadratic equation: x² - 3x - 10 = 0.
x = -2 only
x = 5 only
x = 5 or x = -2
x = 2 or x = -5
Factor the quadratic as (x - 5)(x + 2) = 0, which gives the solutions x = 5 and x = -2.
Determine the domain of the function f(x) = √(x - 2).
x > 2
All real numbers
x ≥ 2
x ≤ 2
For the square root to be defined, the expression under the radical must be non-negative. Hence, x - 2 ≥ 0, so x must be greater than or equal to 2.
Find the vertex of the quadratic function f(x) = x² - 4x + 7.
(-2, 3)
(2, 3)
(2, -3)
(-2, -3)
The vertex of a quadratic function in the form ax² + bx + c is found at x = -b/(2a). Here, x = 4/2 = 2; substituting back gives the y-coordinate as 3, so the vertex is (2, 3).
Solve the rational equation: (x + 2)/(x - 3) = 2.
x = 3
x = -8
x = 8
x = 5
Cross-multiply to get x + 2 = 2(x - 3). Solve the resulting equation to find x = 8. Ensure that x ≠ 3 to avoid division by zero.
Find the inverse function of f(x) = 2x + 3.
f❻¹(x) = 2(x - 3)
f❻¹(x) = (x - 3)/2
f❻¹(x) = (x + 3)/2
f❻¹(x) = 2x + 3
To find the inverse, swap x and y in the equation y = 2x + 3 to get x = 2y + 3, then solve for y, yielding f❻¹(x) = (x - 3)/2.
Solve the exponential equation: 3^x = 81.
x = 3
x = 81
x = 2
x = 4
Since 81 can be written as 3^4, equate the exponents to find x = 4.
Solve the radical equation: √(2x + 7) = 5.
x = 4
x = 18
x = 9
x = 5
Square both sides of the equation to obtain 2x + 7 = 25. Subtract 7 and divide by 2 to find x = 9.
Solve the quadratic equation: 2x² - 3x - 2 = 0 using the quadratic formula.
x = 0.5 or x = -2
x = -0.5 only
x = 2 or x = -0.5
x = 2 only
Using the quadratic formula, x = [3 ± √(9 + 16)]/4 = [3 ± 5]/4. This gives the solutions x = 2 and x = -0.5.
Determine the domain of and whether the function f(x) = 3/(x - 1) is one-to-one.
Domain: all real numbers; f is not one-to-one
Domain: x > 1; f is one-to-one
Domain: all real numbers except x = 1; f is one-to-one
Domain: x ≠ 1; f is not one-to-one
The function is undefined at x = 1, so the domain is all real numbers except x = 1. Being a basic rational function of the form 1/(x - k), it is one-to-one.
Solve the system of equations: x² + y² = 25 and y = x + 1.
x = -4, y = -3 and x = 3, y = 4
x = -4, y = 3 and x = 3, y = -4
x = -3, y = -2 and x = 4, y = 5
x = 4, y = 5 and x = -3, y = -2
Substitute y = x + 1 into x² + (x + 1)² = 25, which simplifies to x² + x² + 2x + 1 = 25. Solving the resulting quadratic yields x = -4 and x = 3, with corresponding y-values of -3 and 4.
Find the inverse of the function f(x) = (3x - 2)/(x + 1).
f❻¹(x) = -(x + 2)/(x - 3)
f❻¹(x) = (3 - x)/(x + 2)
f❻¹(x) = (x - 2)/(3 - x)
f❻¹(x) = (x + 2)/(3 - x)
To find the inverse, replace f(x) with y, swap x and y to get x = (3y - 2)/(y + 1), and solve for y. This manipulation results in f❻¹(x) = -(x + 2)/(x - 3).
Solve the inequality: (x - 3)/(x + 2) > 0.
x < -2 or x > 3
x ≥ 3
x ≤ -2 or x ≥ 3
x > -2 and x < 3
Identify the critical points x = -2 and x = 3. Testing the intervals shows the expression is positive when both numerator and denominator are either negative (x < -2) or positive (x > 3).
0
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Study Outcomes

  1. Understand key mathematical concepts from Units 1 and 3.
  2. Apply problem-solving techniques to practice questions.
  3. Analyze test problems to identify effective strategies.
  4. Evaluate personal understanding and performance.
  5. Synthesize learned concepts to solve complex problems.

AP Human Units 1,2,3,5,7 Test & Review Cheat Sheet

  1. Understanding Cultural Diffusion - Cultural diffusion is like a global game of "telephone" where ideas, foods, and fashions spread in different ways: contagious diffusion moves things person‑to‑person, hierarchical diffusion jumps from big cities to small towns, and stimulus diffusion adapts ideas as they travel. Think of sushi evolving from a Japanese staple into fusion rolls on every corner of the world. aphumangeo.com Unit 3 details
  2. Exploring Cultural Landscapes - Cultural landscapes are living history books written in stone, paint, and plants, showing how humans leave their mark on the land. From the jazz‑filled streets of New Orleans' French Quarter to the terraced rice paddies of Southeast Asia, each scene tells a story of blending cultures. AP Human Geography Culture Flashcards
  3. Distinguishing Between Folk and Popular Culture - Folk culture is like a secret family recipe passed down through generations, practiced by small, tight‑knit groups, while popular culture is the viral trend on your favorite social feed. Picture traditional Amish quilting circles versus the latest global pop song topping charts. Culture & Language Flashcards
  4. Examining Language Families and Dialects - Languages form big families - like the Indo-European clan that includes English, Spanish, and Hindi - and split into regional dialects with their own slang and accents. Dialects reflect history, migration, and isolation, making each region's speech unique. aphumangeo.com Unit 3 details
  5. Analyzing Religious Patterns - Universalizing religions (e.g., Christianity, Islam) actively seek converts worldwide, while ethnic religions (e.g., Hinduism, Judaism) are closely tied to specific cultures or areas. These faiths shape traditions, holidays, and even the layout of sacred sites across the globe. Barron's Unit 3 Notes
  6. Understanding Ethnic Neighborhoods - Ethnic neighborhoods like San Francisco's Chinatown or New York's Little Italy showcase how immigrants recreate home away from home. They preserve language, cuisine, and festivals, creating vibrant cultural pockets in big cities. AP Human Geography Culture Flashcards
  7. Exploring Cultural Appropriation and Commodification - When elements of one culture are adopted by another group - sometimes without respect or understanding - it can lead to commodification, turning sacred symbols into trendy accessories. Think of how Native American headdresses have been misused in fashion. Culture & Language Flashcards
  8. Examining Time‑Space Compression - Time‑space compression describes how modern transport and tech shrink distances, speeding up cultural exchanges. A meme created in Tokyo can circle the globe in seconds, and international flights can make weekend getaways routine. Flashcards.io Culture Deck
  9. Understanding Sequent Occupance - Sequent occupance is the concept that successive societies layer their cultural imprints over time, creating a rich tapestry in places like Rome, where ancient ruins, medieval walls, and modern piazzas coexist. Each era leaves clues for curious students to uncover. aphumangeo.com Unit 3 details
  10. Analyzing Globalization's Impact on Culture - Globalization can homogenize cultures - think fast‑food chains everywhere - but it also sparks creative mashups, like sushi burritos or Bollywood‑inspired fashion. This push‑pull shapes how traditions survive, adapt, or fade away. Barron's Unit 3 Notes
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