8 Test 6 (L36-L41)

Front

Evaluate the expression using the quotient rule: \( \frac{2^{14}}{z^{13}} \div \frac{2^{2}}{z^{7}} \)

Back

The result is \( 2^{2} z^{7} \).

Front

A turn is also called a ___________.

Back

Rotation.

Front

What is the length of the longest side of the rectangle with coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)?

Back

5 units.

Front

Are the two figures similar? Explain your reasoning: Yes, similar because they are the same shape and side lengths are proportional. No, not similar because they are the same shape, but side lengths are not proportional. Yes, same shape, No, different sizes.

Back

No, not similar because they are the same shape, but side lengths are not proportional.

Front

If \( f(x) = x^2 - 4x + 4 \), what is the output when the input is \( x = 3 \)?

Back

1.

Front

What is the quotient rule in algebra?

Back

The quotient rule states that if you have a function \( f(x) = \frac{g(x)}{h(x)} \), then the derivative is \( f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{(h(x))^2} \).

Front

Define a rectangle in geometry.

Back

A rectangle is a quadrilateral with four right angles.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding sides are proportional.

Front

What is the output of the function \( f(x) = 2x + 3 \) when \( x = 4 \)?

Back

11.