AnswersMISD CR Algebraic Reasoning BCumulative Exam

Cumulative Exam — Cumulative exam Answers

47 verified answers1 views
1
Free Preview

Use synthetic division to solve . What is the quotient?

Question illustration
A
x squared + 4 x + 3
Option A
B
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
Option B
C
x cubed + 4 x squared + 3 x
Option C
D
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction
Option D
2
Free Preview

The cost for the raw materials of marble countertops, c, can be represented by the function c(a) = 4.25a, where a is the area of the countertops. The retail markup, m, can be represented by the function m(c) = 1.15c.

A
m(c(a)) = 4.8875a
B
m(c(a)) = 3.6957a
C
m(c(a)) = 5.4a
D
m(c(a)) = 3.1a
3

Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to represent the population growth of each type of insect, where y represents the population and x represents the number of weeks since Sabrina began her research. Ant Colony Growth: Bee Hive Growth: Which insect population is growing at a faster rate?

Question illustration
A
The ant colony is growing at a faster rate. It will multiply by 3.8 each week while the bee hive will add 3.8 each week.
B
The bee hive is growing at a faster rate. It will multiply by 3.8 each week while the ant colony will add 3.8 each week.
C
The ant colony is growing at a faster rate. It will add 3.8 each week while the bee hive will subtract 3.8 each week.
D
The bee hive is growing at a faster rate. It will add 3.8 each week while the ant colony will divide by 3.8 each week.
4

The table shows the side length and approximate area of an octagonal stop sign.Area of a Stop Sign

Question illustration
A
f(x) = 4.8x2
B
f(x) = 4x2
C
f(x) = (4.8)x
D
f(x) = (4)x
5

Which number is missing in the table of values below?xy01162363?41,296

A
108
B
216
C
324
D
648
6

What are the domain and range of the piecewise function below?

Question illustration
A
domain: range:
Option A
B
domain: or range: or
Option B
C
domain: range:
Option C
D
domain: or range: or
Option D
7

If is the inverse of and , what is ?

Question illustration
A
g (x) = 12 x + 4
Option A
B
g (x) = one-fourth x minus 12
Option B
C
g (x) = x minus 3
Option C
D
g (x) = one-fourth x minus 3
Option D
8

For which interval is the average rate of change of f(x) negative?

Question illustration
A
from x = –3.5 to x = –1
B
from x = –3 to x = 3
C
from x = 0 to x = 2.5
D
from x = 3 to x = 4.5
9

What is the vertex of the graph of y = 3x2 + 2x + 1?

A
mc004-1.jpg
Option A
B
mc004-2.jpg
Option B
C
mc004-3.jpg
Option C
D
mc004-4.jpg
Option D
10

Which function is a quadratic function?

A
t(x) = (x – 4)2 + 3
B
q(x) = (2x + 4)3 + 3
C
r(x) = (–6x – 4)4 + 3(x + 2)2
D
s(x) = –(x – 6) + 3(x + 1)
11

The table below shows the number of days, y, needed to complete a project as a function of the number of full-time staff, x, working on the project. Which rational function best models the data in the table?People Working, xDays, y36218489612

A
mc019-1.jpg
Option A
B
mc019-2.jpg
Option B
C
mc019-3.jpg
Option C
D
mc019-4.jpg
Option D
12

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10?

Question illustration
A
Negative four-thirds
Option A
B
Negative three-fourths
Option B
C
6
D
8
13

The width of a rectangle is three times its height. If it has an area of 60.75 square feet, what are its dimensions?a.5.75 ft by 3.5 ftc.2 by 21.1 ftb.16.2 ft by 3 ftd.13.5 ft by 4.5 ft

A
A
B
B
C
C
D
D
14

The data in the table represent the height of an object over time.

Question illustration
A
quadratic, because the height of the object increases or decreases with a multiplicative rate of change
B
quadratic, because the height increases and then decreases
C
exponential, because the height of the object increases or decreases with a multiplicative rate of change
D
exponential, because the height increases and then decreases
15

Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
16

Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t is the time in seconds. For which interval of time is the height of the ball less than 17 feet?

A
mc022-1.jpg
Option A
B
mc022-2.jpg
Option B
C
mc022-3.jpg
Option C
D
mc022-4.jpg
Option D
17

What are the domain and range of the function ?

Question illustration
A
domain: range:
Option A
B
domain: range:
Option B
C
domain:range:
Option C
D
domain: range:
Option D
19

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D
20

Which statements accurately compare the functions in the graph? Select two options.

A
Neither function has a maximum value.
B
The functions share a y-intercept of –1.
C
The functions share an x-intercept of 1.
D
Both functions have a range of all real numbers.
E
Both functions have a domain of all real numbers.
21

The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.

A
The reasonable domain contains only positive real numbers.
B
The reasonable domain contains only positive whole numbers.
C
The reasonable domain contains only real numbers greater than 3.
D
The reasonable domain contains only rational numbers greater than 3.

Did you find these answers helpful?