AnswersNC-Math 4 CRAdding and Subtracting Matrices

Adding and Subtracting Matrices — Cumulative exam Answers

25 verified answers
1
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What are the solutions of the equation (x + 2)2 – 2(x + 2) – 15 = 0? Use u substitution to solve.

A
x = –7 and x = 1
B
x = –5 and x = 3
C
x = –3 and x = 5
D
x = –1 and x = 7
2
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The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(5, −6)
B
(−5, −6)
C
(5, 6)
D
(−5, 6)
3

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

A
Their equations have the same slopes and y-intercepts.
B
Their equations have different slopes and y-intercepts.
C
Their equations have different y-intercepts but the same slopes.
D
Their equations have the same y-intercepts but different slopes.
4

If A, B, and C represent three matrices of the same size and (A + B) + C = 0, then which statement is true?

A
and
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D
5

What is the product?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
6

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

Question illustration
A
18 points
B
22 points
C
27 points
D
40 points
7

It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?

A
14 x + 10 x = 200
Option A
B
One-fourteenth x minus one-tenth x = 1
Option B
C
One-fourteenth x plus one-tenth x = 1
Option C
D
14 x minus 10 x = 200
Option D
8

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
9

The table below shows the number of different types of faucets sold over three months and the total selling price of the items. Number of Faucets Sold and Total Selling Price Kitchen SinkBathroom SinkShowerTotal Selling PriceJanuary1587$2,830February17128$3,450March242521$6,680The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet?

A
$12.00
B
$13.50
C
$14.15
D
$18.00
10

If (x + k) is a factor of f(x), which of the following must be true?

A
f(k) = 0
B
f(–k) = 0
C
A root of f(x) is x = k.
D
A y intercept of f(x) is x = –k.
11

The cost of a taxi ride is a linear function of the distance traveled. If a 5-mile ride costs $12 and a 9-mile ride costs $14, which equation can be used to find the cost, c, for any distance, m, traveled?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
12

The price that a company charged for a computer accessory is given by the equation where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields the same profit?

Question illustration
A
1.45 million
B
3.45 million
C
40 million
D
48 million
13

A local car wash is inviting customers to join the Concierge Club, in which you can have your car washed as many times as you wish for a fixed monthly fee. Amy creates the graph below to compare the cost per wash versus the cost for the Concierge Club. Which conclusion is supported by the graph?

Question illustration
A
The Concierge Club costs $6 per month.
B
The Concierge Club is the better deal for three washes per month.
C
The pay-per-wash option is the better deal for eight washes per month.
D
The pay-per-wash rate is $5.00 per wash.
14

Which second degree polynomial function has a leading coefficient of 2 and roots –3 and 5?

A
f(x) = 2x2 + 4x – 30
B
f(x) = 2x2 + 2x – 15
C
f(x) = 2x2 – 4x – 30
D
f(x) = 2x2 – 2x – 15
15

What is the most simplified expression for ?

Question illustration
A
2 c squared d + d c + 6 c squared d squared
Option A
B
2 c squared d + 5 d c + 6 c squared d squared
Option B
C
3 c squared d + 3 d c + 6 c squared d squared + c d
Option C
D
3 c squared d + 2 d c + 6 c squared d squared minus 2 cd
Option D
16

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

Question illustration
A
u(x) 0 and v(x) 2
Option A
B
x 0 and x cannot be any value for which u(x) 2
Option B
C
x 2 and x cannot be any value for which v(x) 0
Option C
D
u(x) 2 and v(x) 0
Option D
17

If (x – 5) is a factor of f(x), which of the following must be true?

A
A root of f(x) is x = –5.
B
A root of f(x) is x = 5.
C
Both x = –5 and x = 5 are roots of f(x).
D
Neither x = –5 nor x = 5 is a root of f(x).
18

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

A
exactly 5
B
5 or less
C
exactly 6
D
6 or less
19

The formula to determine energy is . What is the formula solved for v?

Question illustration
A
v = plus-or-minus StartRoot StartFraction m Over 2 uppercase E EndFraction EndRoot
Option A
B
v = 2 uppercase E minus m
Option B
C
v = plus-or-minus StartRoot 2 uppercase E minus m EndRoot
Option C
D
v = plus-or-minus StartRoot StartFraction 2 uppercase E Over m EndFraction EndRoot
Option D
20

Which property is shown in the matrix addition below?

Question illustration
A
associative property
B
identity property
C
inverse property
D
commutative property

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