Algebra Trivia: MCQ Quiz! Exam

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Bcankar

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Quizzes Created: 1 | Total Attempts: 79

Questions: 8 | Attempts: 79 | Updated: Mar 21, 2023

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Algebra Trivia: MCQ Quiz! Exam tests your knowledge of algebraic expressions, equations, and concepts. It covers topics like polynomial expansion, circle equations, trigonometric identities, and graphical analysis. This quiz enhances critical thinking and problem-solving skills in algebra.

Questions and Answers

1.

When is expanded, what is the 4th term?
- A.
- B.
- C.
- D.
Correct Answer
A.
2.

Which of the following is the standard form equation of a circle with center (2, 3) that passes through the point (4, -2)?
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation
The standard form equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius. In this case, the center of the circle is (2, 3), so the equation starts as (x - 2)^2 + (y - 3)^2 = r^2. Since the circle passes through the point (4, -2), we can substitute these values into the equation to find the radius. By substituting (4 - 2)^2 + (-2 - 3)^2 = r^2, we get (2)^2 + (-5)^2 = r^2. Simplifying this gives us 4 + 25 = r^2, or 29 = r^2. Therefore, the standard form equation of the circle is (x - 2)^2 + (y - 3)^2 = 29.

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3.

What distance does the minute hand of a clock travel in 45 minutes if its length is 12 inches?
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation
The minute hand of a clock travels in a circular motion around the clock face. The circumference of a circle is calculated by multiplying the diameter by π (pi). In this case, the length of the minute hand is given as 12 inches, which is equal to the diameter of the circle it travels. Therefore, the distance traveled by the minute hand in 45 minutes is equal to the circumference of the circle, which is 12π inches.

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4.

Use trigonometric identities to simplify the expression:
- A.
- B.
- C.
- D.
Correct Answer
A.
5.

The solution to the equation is x = ____________

Correct Answer
4

Explanation
The solution to the equation is x = 4 because when the equation is solved, the variable x is equal to 4.

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6.

How many increasing intervals does the following graph have?
- A.
  
  3
- B.
  
  2
- C.
  
  1
- D.
  
  0
Correct Answer
A. 3

Explanation
The graph has three increasing intervals because there are three distinct sections where the values are increasing. Each time the graph transitions from a lower value to a higher value, it represents a new increasing interval.

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7.

Describe the boundedness for the graph below:
- A.
  
  Not bounded
- B.
  
  Bounded above
- C.
  
  Bounded below
- D.
  
  Bounded
Correct Answer
A. Not bounded

Explanation
The graph is not bounded because it extends indefinitely in at least one direction. It does not have a specific upper or lower limit, meaning it can continue to increase or decrease without bound. Therefore, it is not bounded above or below, and overall, it is not bounded.

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8.

What is the exact value of ?
- A.
- B.
- C.
- D.
Correct Answer
A.