C897 Mathematics: Content Knowledge

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Access and unlock Multiple Practice Question for C897 Mathematics: Content Knowledge to help you Pass at ease.

Free C897 Mathematics: Content Knowledge Questions

1.

A teacher models quadratic functions with projectile motion. If a ball is thrown with initial velocity 20 m/s at 45°, what is the time to reach maximum height (g = 10 m/s²)?

  • 1 s

  • 2 s

  • √2 s

  • 1.4 s

Explanation

Explanation:



Correct Answer:

1.4 s


2.

A teacher graphs y = 2sin(3x). What is the period?

  • 2π/3

  • π/3

  • 2π

  • 6π

Explanation


3.

Which is equivalent to log_b (x/y)?

  • logb x - logb y

  • logb x + logb y

  • logb (x + y)

  • logb x / logb y

Explanation

Explanation:

Step 1: Recall the logarithmic property that states logb (A / B) = logb A - logb B.

Step 2: Apply this property to logb (x / y):

logb (x / y) = logb x - logb y

Step 3: This property allows the division inside a logarithm to be expressed as the subtraction of two logarithms, which simplifies calculations and algebraic manipulation.

Correct Answer:

logb x - logb y


4.

Solve 3(x+1) = 27.

  • x = 2

  • x = 3

  • x = 1

  • x = 4

Explanation


5.

In a statistics class, mean = 80, SD = 5. What is z-score for 90?

  • 1

  • 1.5

  • 2.5

  • 2

Explanation


6.

What is the value of i^12 in the complex plane?

  • 1

  • -1

  • i

  • -i

Explanation

Explanation:

Step 1: Recall the powers of i:

             i1 = i,  i2 = - 1, i3 = - i, i4 = 1

Step 2: Note that powers of i repeat every 4:

             i5 = i,  i6 = −1,…

Step 3: Divide the exponent by 4 to find the remainder:

            12 ÷ 4 = 3 remainder 0

Step 4: Since the remainder is 0,

         i12 = i0.(i4)3 = 1.13 = 1

Correct Answer

1


7.

What is the midpoint of segment joining (-2, 5) and (4, -3)?

  • (1, -1)

  • (1, 1)

  • (3, 1)

  • (-1, 1)

Explanation


8.

Factor completely: 4x² - 12x + 9.

  • (4x - 3)(x - 3)

  • (2x + 3)²

  • (2x - 3)²

  • Prime

Explanation

Explanation:


9.

A teacher models reflection. Point (3, -2) reflected over y-axis is:

  • (3, 2)

  • (-3, 2)

  • (2, -3)

  • (-3, -2)

Explanation


10.

A teacher uses sampling. A population has mean 50, sample size 36, sample mean 52. What is the standard error if σ = 12?

  • 1

  • 2

  • 0.5

  • 3

Explanation


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