ASUPD Geometry A Unit A Review (Algebra and Arithmetic)

Multiple Choice

As the ChronoNavigator stabilized, the time travelers found themselves in the golden sands of Ancient Egypt. Towering pyramids loomed in the distance, and the air was filled with the scent of incense. To gather their first artifact, they encountered a wise scribe who posed a math challenge. "Solve this riddle, and I shall grant you a letter to aid your journey."

The travelers quickly gathered their minds and evaluated the expression 3m+4 when m=5.

• 19
  T

• 20

  A

• 21

  I

• 22

  M

Multiple Choice

Next, they arrived in Ancient Greece, where philosophers debated under the olive trees. Socrates approached them, inviting them to solve a mathematical equation to unlock the secrets of wisdom. "Evaluate y=mx+b for m=-2, x=3, and b=4," he said. Eager to impress, the travelers quickly calculated, earning the second letter they needed to fix the time machine.

• 4
  E

• -4

  M

• 2

  T

• -2

  R

Multiple Choice

As they sailed across uncharted waters, they found themselves in the Age of Exploration. Christopher Columbus greeted them at the shore but needed their help navigating. "Use the distributive property to simplify this expression, and I will provide you with a letter to assist your travels." They worked together to simplify 5(x+2)−3 and received the fourth letter.

• 2x + 7

  S

• 5x + 10

  E

• 5x + 5

  M

• 5x + 7

  A

Multiple Choice

Transported to the vibrant streets of Florence during the Renaissance, the travelers marveled at the art and innovation around them. They met Leonardo da Vinci, who challenged them to simplify a mathematical expression. "Only by solving this can you continue your journey," he declared. After simplifying 4(2x+3)−5, they uncovered the third letter.

• 10x + 7

  R

• 8x + 7

  N

• 4x + 3

  M

• 6x + 5

  S

Multiple Choice

The scene shifted to a laboratory during the Scientific Revolution, where Isaac Newton conducted experiments. The travelers were excited to help, but first, he asked them to factor a mathematical expression. "Solve x²+5x+6, and you shall earn a vital letter." After factoring, they proudly gained the fifth letter.

• (x+2)(x+3)

  S

• (x+1)(x+5)

  I

• (x+3)(x-2)

  T

• (x-2)(x-3)

  R

Multiple Choice

Next, they entered the Age of Enlightenment, where they met a brilliant philosopher. "To unlock the truths of our time, you must factor x²+6x+9." The travelers worked diligently, and upon solving, they received the sixth letter

• (x+1)²

  M

• (x+2)²

  E

• (x-1)²

  A

• (x+3)²

  T

Multiple Choice

Arriving in the heart of the Industrial Revolution, the travelers marveled at the inventions around them. A factory owner needed their assistance. "Translate the phrase 'A number less than 5' into an algebraic expression, and I will share a letter with you." They quickly crafted the answer and earned the seventh letter.

• x + 5

  A

• 5+x

  O

• 5-x

  E

• x-5

  I

Multiple Choice

The travelers found themselves amidst the jazz and excitement of the Roaring Twenties. A flapper dancer challenged them, "Translate 'Three times a number is equal to 12' into an equation, and I’ll grant you a letter!" They eagerly wrote down the correct answer and received the eighth letter.

• 3x - 12 = 0

  D

• 2x = 12

  S

• x + 3 = 12

  N

• 3x = 12

  M

Multiple Choice

In the earliest documentation of the Space Age, they encountered astronauts preparing for a mission. "We need your mathematical skills to create a formula to solve for the width of the rectangular landing zone. If the perimeter is 306 m and the length is 82 m, what is an equation to find width?" They provided the equation and received the ninth letter.

• 82=2(L)+306

  H

• 306=2(82)+2(w)

  P

• 306=2(82)-2(w)

  C

• 306=2(L)+2(82)

  B

Multiple Choice

The scene shifted to the Information Age, where computers buzzed with activity. A tech genius posed a challenge: "Write a compound inequality for 'A number x is greater than 3 and less than 7' to continue your journey." The travelers quickly wrote the inequality and earned the tenth letter.

• 3 < x < 7

  O

• x >= 3 and x <= 7

  P

• 3 < x < 5

  A

• x > 3 and x < 10

  U

Multiple Choice

In a high-tech lab during the Digital Revolution, a scientist needed help. "Solve 2x+3=11, and I will provide you with a letter that is crucial for your journey." The travelers solved the equation and were rewarded with the eleventh letter

• 5

  H

• 4

  R

• 7

  T

• 6

  A

Multiple Choice

In an age of creativity and invention, they met a renowned inventor who asked, "Determine the solution to y=2x+1 when x=4 to unlock the next piece of knowledge." After calculating, they received the twelfth letter.

• 6

  Y

• 7

  U

• 8

  E

• 9

  A

Multiple Choice

The travelers found themselves exploring new land during the Age of Discovery. A cartographer needed assistance. Can you help me find the right coordinates by solving the equation below? $$\frac{x}{2}+3=6$$

• 4

  X

• 3

  D

• 6

  L

• 5

  S

Multiple Choice

In the bustling cities of the Modern Era, they encountered a city planner who needed their help. "Solve the equation 3x-4=2x+5" They quickly calculated and received the fourteenth letter.

• 9

  T

• 5

  S

• 3

  A

• 6

  U

Multiple Choice

Next, they landed in a world interconnected by technology during the Age of Globalization. A global leader posed a challenge: "What is the area of a rectangle with a length of 10 and a width of 5?" After quickly solving, they received the fifteenth letter.

• 40

  M

• 25

  S

• 30

  E

• 50

  R

Multiple Choice

The time travelers found themselves in a world focused on sustainability and innovative solutions. They met an environmental scientist who challenged them, "If a tree grows 3 feet each year, how tall will it be after 5 years if it starts at 10 feet?" Eager to help, they calculated the next to the last answer for this challenge. With their answer, they received the sixteenth letter.

• 25

  A

• 15

  R

• 30

  S

• 20

  M

Multiple Choice

In the Age of Connectivity, they encountered a network engineer who posed a new challenge. Share with me how to simplify the following expression and I will give you one of the final letters you will need to make it home.

$$-2\left(t-7y+2\right)$$

• -2t + 14y - 4

  V

• -2t - 14y + 4

  E

• 2t - 14y - 4

  L

• -2t + 14y + 4

  A

Multiple Choice

In the Age of Learning, technological advancements, such as artificial intelligence and adaptive learning platforms such as the one located at ASUPD, personalize education to meet unique needs for every student. To receive the next letter in their journey, the travelers popped into Mrs. M's classroom to solve the next puzzle. Which of the following will be a solution for y in the equation: 4-6y=82

• y=-14

  E

• y=13

  A

• y=-13

  E

• y=14

  A

Multiple Choice

As they continued their journey, the travelers arrived in a futuristic society, where robots and humans coexisted harmoniously. A visionary leader awaited them, posed with a final challenge. "If you have a budget of $500 and each robot costs $100, how many robots can you purchase?" The travelers quickly solved the equation and were rewarded with the final letter they needed to return home.

• 5

  L

• 10

  S

• 6

  R

• 4

  T

Fill in the Blanks