AnswersEA Academy Civics 9The Economy of the US

The Economy of the US Answers

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21
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b = [___]

Answer:

1

22
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0123

A
0
B
1
C
2
D
3
23

Sample Response: The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation. What did you include in your response? Check all that apply.The formula is derived from completing the square. If you complete the square to solve, you will get the quadra

A
The formula is derived from completing the square.
B
If you complete the square to solve, you will get the quadratic formula.
C
The variable is isolated after creating a perfect square trinomial.
24

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2?Discriminant = b2 – 4ac

A
–9
B
–7
C
7
D
9
25

What is one effect of federalism in the United States?

A
The federal government must approve state and local laws.
B
The federal government has control over state and local officials.
C
State and local governments can control the federal government.
D
State and local governments have the power to make their own laws.
26

c = [___]

Answer:

4

27

zero real number solutionsone real number solutiontwo real number solutions

A
zero real number solutions
B
one real number solution
C
two real number solutions
28

Some of the steps in the derivation of the quadratic formula are shown.Step 3: –c + = aStep 4a: –c + = aStep 4b: + = a

Question illustration
A
factoring a polynomial
B
multiplication property of equality
C
converting to a common denominator
D
addition property of equality
29

A student is deriving the quadratic formula. Her first two steps are shown.Step 1: –c = ax2 + bxStep 2:

Question illustration
A
division property of equality
B
factoring the binomial
C
completing the square
D
subtraction property of equality
30

What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?

A
a = 2, b = 4, c = 3
B
a = 2, b = 4, c = –3
C
a = –2, b = 4, c = 3
D
a = –2, b = 4, c = – 3
31

Read the excerpt from the Civil Rights Act of 1866, which provided protections for freed African Americans following the Civil War."That all persons born in the United States and not subject to any foreign power, excluding Indians not taxed, are hereby declared to be citizens of the United States; and such citizens, of every race and color, without regard to any previous condition of slavery or involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall have the same right, in every State and Territory in the United States, to make and enforce contracts, to sue, be parties, and give evidence, inherit, purchase, lease, sell, hold, and convey real and personal property, and to full and equal benefit of all laws and proceedings for the security of person and property, as is enjoyed by white citizens.”–Civil Rights Act of 1866, Section 1

A
In a democracy, only some citizens should have economic rights.
B
In a democracy, all citizens should have certain economic rights.
C
In a democracy, only economic rights are important.
D
In a democracy, only political rights are important.
32

Which is the graph of a quadratic equation that has a positive discriminant?

A
On a coordinate plane, a parabola opens up. It goes through (negative 1, 4), has a vertex at (1, 0), and goes through (3, 4).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 3, 4), has a vertex at (negative 1, 0), and goes through (1, 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 2, 5), has a vertex at (0, 1), and goes through (2, 5).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (0, negative 1), and goes through (2, 3).
Option D
33

Company A and Company B both manufacture a chemical used in a specific industry. In recent years, they have seen more companies entering their market, although together they still control 75 percent. The two companies make a secret deal to lower their prices to the same level at the same time.

A
It would support the deal because it lowers prices.
B
It would encourage competing companies to make similar deals.
C
It would view the deal as an example of illegal price-fixing.
D
It would ignore the deal because neither company is a monopoly.
34

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the number of real solutions the equation has?

A
The discriminant is −4, so the equation has 2 real solutions.
B
The discriminant is −4, so the equation has no real solutions.
C
The discriminant is 35, so the equation has 2 real solutions.
D
The discriminant is 35, so the equation has no real solutions.
35

How did John D. Rockefeller affect competition in the oil-refining business?

A
His company controlled almost all US oil refining.
B
He worked to increase competition among oil refiners.
C
He helped to establish the Federal Trade Commission.
D
His company pioneered ways to protect free trade.
36

Some of the steps in the derivation of the quadratic formula are shown.Step 4: Step 5: Step 6: Step 7:

Question illustration
A
Negative values, like −4ac, do not have a square root.
B
The ± symbol prevents the square root from being evaluated.
C
The square root of terms separated by addition and subtraction cannot be calculated individually.
D
The entire term b2 − 4ac must be divided by 2a before its square root can be determined.
37

What is the purpose of the Sherman Act?

A
to require the government to pay for land it takes from citizens for public use
B
to decentralize power between the federal government and the states
C
to require companies that sell the same product to agree on set prices
D
to make it illegal for companies to interfere with trade or to create monopolies
38

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

Question illustration
A
a = , b = 3, c = 2
Option A
B
a = , b = –3, c = –2
Option B
C
a = , b = 3, c = –2
Option C
D
a = , b = –3, c = 2
Option D
39

What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?Discriminant = b2 – 4ac

A
–8
B
4
C
8
D
16

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