AnswersMISD CR Algebraic Reasoning BCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which graph includes a function, its inverse, and a dashed line that verifies the relationship?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
43
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The base of a triangle is one third its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle?a.3in, 9inc.2in, 6inb.8in, 24ind.4in, 12in

A
A
B
B
C
C
D
D
44

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
45

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2. What is the approximate width of her backyard?A = lw

A
11.2 m
B
15.8 m
C
22.4 m
D
44.8 m
46

Look at this image.Choose the function that represents the triangular numbers.

Question illustration
A
y = 0.5x + 0.5
B
y = 0.5x + 0.5x
C
y =
D
y = 0.5x2 + 0.5x
47

A website is having a sale of 15% off the price, x, of regular-priced items. For its loyalty club members, the site is offering an additional 15% off the sale price. An 8% shipping and handling fee is then added to the discounted price to determine the final cost. The functions below represent each part of a loyalty member’s purchase.Sales price: S(x) = 0.85xLoyalty member discount: L(S) = 0.85SFinal cost: C(L) = 1.08L

A
C(L(x)) = 2.7800x
B
C(L(x)) = 0.9180x
C
C(L(x)) = 0.7803x
D
C(L(x)) = 0.7225x
48

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

A
f(x) = (x + 1)2 + 2
B
f(x) = (x – 1)2 + 2
C
f(x) = 2(x + 1)2 + 2
D
f(x) = 2(x – 1)2 + 2
49

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.
Option A
B
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.
Option B
C
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.
Option C
D
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.
Option D
50

Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?

A
a pair of linear functions with defined slopes
B
a cubic function and a cube root function
C
a quadratic function and a square root function
D
a logarithmic function and an exponential function

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