State and Local Governments Answers

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Which service is the responsibility of a local government?

A
major roads and bridges
B
coins and other currency
C
police and fire departments
D
regional public transportation
3

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
6

Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?

A
The constant term is 8.
B
The constant term is −5.
C
The leading coefficient is 8.
D
The leading coefficient is −5.
8

Which idea is an example of voter suppression?

A
voting by mail
B
requiring payment to vote
C
opening polling places on Sunday
D
helping people register to vote
9

Read the scenario.A city places a tax on the plastic bags customers use for their store purchases. The state legislature responds by passing a bill that outlaws taxes on plastic bags, and the governor signs the bill into law.

A
Only state governments can regulate businesses.
B
Only state governments can pass laws that involve taxes.
C
State governments often side with businesses in disputes.
D
State governments can regulate which laws cities can pass.
12

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.
13

Which example is a public good that a state government might provide?

A
grocery stores
B
low-rent apartments
C
movie theaters
D
amusement parks
14

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
15

Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?Quadratic formula:

Question illustration
A
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(0) EndRoot Over 2(3) EndFraction
Option A
B
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(2) EndRoot Over 2(3) EndFraction
Option B
C
x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (3)(1) EndRoot Over 2(3) EndFraction
Option C
D
x = StartFraction negative 3 plus or minus StartRoot 3 squared minus 4 (negative 2)(0) EndRoot Over 2(negative 2) EndFraction
Option D
16

Which scenario is an example of different levels of government working together to solve a problem?

A
A grassroots organization suggests an initiative to restore voting rights to citizens who were once convicted of a felony. State election officials place the initiative on the ballot to give voters the chance to weigh in on the idea.
B
The governor orders people to wear masks in public during a nationwide pandemic. The mayor of a small town opposes the order and tells local businesses that they can ignore it.
C
The power often goes out in one area during windstorms. Government leaders create a plan to bury power lines to protect them. State and federal funds, plus a local tax on property owners, would pay for the plan.
D
To boost the economy, a city passes a law to raise the minimum wage to $2 higher than the amount set by the state. The state responds by passing a law that prevents cities from adjusting the minimum wage.
19

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.Step 1: –c = ax2 + bx

A
subtraction property of equality
B
completing the square
C
factoring out the constant
D
zero property of multiplication

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