AnswersCR RMA FL-1200310-Algebra 1 Semester 2Unit Test

Unit Test — Cumulative exam Answers

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1
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Which sample fairly represents the population? Select two options.

A
using a yearbook to determine the most popular names for girls in the United States
B
asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises
C
calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race
D
sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction
E
taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City
2
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Which function has real zeros at x = –8 and x = 5?

A
g(x) = x2 + 3x – 40
B
g(x) = x2 + 3x + 40
C
g(x) = x2 + 14x – 40
D
g(x) = x2 + 14x + 40
3

Consider the quadratic function. f(p) = p2 – 8p – 5What are the values of the coefficients and the constant in the function?

A
a = –1, b = –8, c = –5
B
a = 1, b = –5, c = –8
C
a = 1, b = –8, c = –5
D
a = –1, b = –5, c = 8
4

Which is true about the polynomial ?

Question illustration
A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
5

Which graph shows a rate of change of between –4 and 0 on the x-axis?

Question illustration
A
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).
Option C
D
On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).
Option D
6

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

A
–19
B
–9
C
1
D
10
7

Which represents the polynomial written in standard form?4m – 2m4 – 6m2 + 9

A
9 + 4m + 2m4 – 6m2
B
2m4 – 6m2 – 4m + 9
C
9 – 6m2 + 4m – 2m4
D
–2m4 – 6m2 + 4m + 9
9

Which statement is true about the polynomial 5s6t2 + 6st9 – 8s6t2 – 6t7 after it has been fully simplified?

A
It has 3 terms and a degree of 9.
B
It has 3 terms and a degree of 10.
C
It has 4 terms and a degree of 9.
D
It has 4 terms and a degree of 10.
10

Which is f(5) for the function –2x2 + 2x – 3?

A
–107
B
–63
C
–43
D
–37
11

A poll is being taken on Wednesday to predict which movie will be the most popular at the city’s movie theaters the next weekend: an animated movie, an action movie, or a romantic comedy. Which group would best represent a sample population?

A
Every fifth person coming out of the high school.
B
Every fifth person in the mall’s food court at lunchtime.
C
Every fifth person coming out of the downtown grocery store at different times throughout the day.
D
Every fifth person walking down the street in several different locations throughout town at different times of day.
12

An equation has solutions of m = –5 and m = 9. Which could be the equation?

A
(m + 5)(m – 9) = 0
B
(m – 5)(m + 9) = 0
C
m2 – 5m + 9 = 0
D
m2 + 5m – 9 = 0
13

What is f(−3) for the function f(a)=−2a2−5a+4?

A
−29
B
−23
C
1
D
37
14

Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the function?

A
−7
B
6
C
7
D
8
15

Which equation is true for x = –6 and x = 2?

A
2x2 – 16x + 12 = 0
B
2x2 + 8x – 24 = 0
C
3x2 – 4x – 12 = 0
D
3x2 + 12x + 36 = 0
16

Blake knows that one of the solutions to x2 – 6x + 8 = 0 is x = 2. What is the other solution?

A
x = –6
B
x = –3
C
x = 4
D
x = 8
17

Which function has zeros at x = −2 and x = 5?

A
f(x) = x2 + 2x − 10
B
f(x) = x2 − 2x − 10
C
f(x) = x2 + 3x − 10
D
f(x) = x2 − 3x − 10
18

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.________ – 5xy3 + 9x2y

A
0
B
5xy3
C
9x2y
D
8y4
E
4xy3
19

Julian fully simplifies this polynomial and then writes it in standard form.4x2y2 – 2y4 – 8xy3 + 9x3y + 6y4 – 2xy3 – 3x4 + x2y2

A
4y4
B
6y4
C
–2xy3
D
–10xy3
21

Valeriya wants to determine the likely voting outcome for the new town council election. Which sample is likely to yield the most biased results?

A
every tenth person working for the largest corporation in town
B
ten people chosen at random from each page of the town’s phone list
C
every tenth person walking down Main Street in town on a variety of days and times of the day
D
ten eligible voters chosen at random from each of the different neighborhoods in town
22

Which algebraic expression is a polynomial with a degree of 5?

A
3x5 + 8x4y2 – 9x3y3 – 6y5
B
2xy4 + 4x2y3 – 6x3y2 – 7x4
C
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
D
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

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