Polynomial Division — Cumulative exam Answers

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Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options.–5x2y4 + 9x3y3 + x5y5–4x4y56x4y–xy5–

Question illustration
A
x5
B
y5
C
–4x4y5
D
6x4y
E
–xy5
F
Option F
4

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

Question illustration
A
Option
B
Option
C
Option
D
Option
9

During free play, there must be more than 4 campers in a group, and the number of boys must not exceed the number of girls by more than 5. Which graph represents this system of inequalities?

A
Option
B
Option
C
Option
D
Option
11

What is the inverse of the function f(x) = x +3?

A
h(x) = x + 3
Option A
B
h(x) = x – 3
Option B
C
h(x) = x – 3
D
h(x) = x + 3
13

An exponential function f(x) is reflected across the x-axis to create the function g(x). Which is a true statement regarding f(x) and g(x)?

T
The two functions have the same initial value.
T
The two functions will cross each other on the axis.
T
The two functions have reciprocal output values of each other for any given input value.
T
The two functions have opposite output values of each other for any given input value.
15

Which function represents exponential growth?

A
f(x) = 3x
B
f(x) = x3
C
f(x) = x + 3
D
f(x) = 3x
17

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

A
Omar should realize that his work shows that the polynomial is prime.
B
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
C
In Step 2, Omar should factor only out of the first expression.
D
Omar should factor out a negative from one of the groups so the binomials will be the same.
18

What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
19

Which is equivalent to , and what type of special product is it?

Question illustration
A
; a perfect square trinomial
Option A
B
; the difference of squares
Option B
C
; a perfect square trinomial
Option C
D
; the difference of squares
Option D

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