Answers717- Algebra II AModeling with Systems

Modeling with Systems — Cumulative exam Answers

70 verified answers6 views
21
Free Preview

Solve for in the equation .

Question illustration
A
x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
Option A
B
x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
Option B
C
x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Option D
22
Free Preview

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Question illustration
A
The customer buys 1 more pound of walnuts than almonds and 1 more pound of almonds than cashews.
B
The customer buys 2 more pounds of walnuts than almonds and 2 more pounds of almonds than cashews.
C
The customer buys 0.5 more pound of walnuts than almonds and 2.5 more pounds of almonds than cashews.
D
The customer buys 6.5 more pounds of walnuts than almonds and 8.5 more pounds of almonds than cashews.
23

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Question illustration
A
x = 0
Option A
B
x = –1
Option B
C
x = 2
Option C
D
x = 5
Option D
24

If the discriminant of a quadratic equation is 4, which statement describes the roots?

A
There are two complex roots.
B
There are two real roots.
C
There is one real root.
D
There is one complex root.
25

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

A
x + 5
B
x – 15
C
x + 15
D
x – 5
26

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A
x = –2, x = –4
B
x = –2, x = 4
C
x = 2, x = –4
D
x = 2, x = 4
27

Which expression is equivalent to ?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
28

What is the completely factored form of 12xy – 9x – 8y + 6?

A
(3x – 2)(4y – 3)
B
3x(4y – 3) – 2(4y + 3)
C
–6x(4y – 3)(4y – 3)
D
(3x – 2)(4y – 3)(4y – 3)
29

Which equation is an example of the commutative property of multiplication?

A
(4 + 2i) = (2i + 4)
B
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
C
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)
D
(4 + 2i) = (4 + 2i + 0)
30

Jamal simplified the expression where and . Which describes the error Jamal made?

Question illustration
A
He should have written the square root of in the answer as , not .
Option A
B
He should have written the square root of in the answer as , not .
Option B
C
He should have written the 5 inside of the radical in the answer.
D
He should have written the 3 outside of the radical in the answer.
31

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

A
(–4, 1)
B
Option
Option B
C
Option
Option C
D
(6, 0)
32

Which system of equations is consistent and dependent?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?

Question illustration
A
$2,500
B
$9,159
C
$22,827
D
$23,791
34

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

What are the domain and range of the function ?

Question illustration
A
domain: all real numbers greater than 1range: all real numbers
B
domain: all real numbersrange: all real numbers greater than 0
C
domain: all real numbersrange: all real numbers greater than 1
D
domain: all real numbers less than 5range: all real numbers greater than 1
36

Galena is solving the following system.Step 1: She multiplies equation (3) by 3 and adds it to equation (1). Step 2: She multiplies equation (3) by –7 and adds it to equation (2). Which statement explains Galena’s mistake?

Question illustration
A
She added equation (1) instead of equation (2) in step 1.
B
She did not multiply equation (3) in step 1 by the correct value.
C
She did not multiply equation (3) in step 2 by the correct value.
D
She added equation (2) instead of equation (1) in step 2.
37

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
38

Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 2 and x = –1 and touches the x-axis at x = 0.
B
The graph touches the x-axis at x = 2 and x = –1 and crosses the x-axis at x = 0.
C
The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.
D
The graph touches the x-axis at x = –2 and x = 1 and crosses the x-axis at x = 0.
39

A graph of a quadratic function y = f(x) is shown below.What is the solution set of the quadratic inequality f(x) 0?

Question illustration
A
mc004-3.jpg
Option A
B
mc004-4.jpg
Option B
C
mc004-5.jpg
Option C
D
mc004-6.jpg
Option D
40

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

A
0
B
4
C
25
D
100

Did you find these answers helpful?

More from this Course

Assignment
39 verified answers

Modeling with Systems

Assignment
19 verified answers

Modeling with Systems

Assignment
19 verified answers

Addition and Subtraction of Polynomials