AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVFactoring Polynomials: Double Grouping

Factoring Polynomials: Double Grouping — Unit test Answers

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Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

4
4m(75m2 + 30m +40)
1
10m(30m2 + 12m +18)
3
30(10m2 +4m + 60)
6
60(5m2 +2m +3)
2
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The graph represents the cost of catering a dinner as a function of the number of guests.

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$
$400
$
$600
$
$700
$
$800
3

If g(x) = 2 − 1, what is g(−2.3)?

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-7
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-5
-
-4
-
-3
4

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation , where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is . Which of the following is an equivalent form of the equation for the population of sample 2?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

(
(–∞, –7)
(
(–∞, –1)
(
(–∞, 1)
(
(–∞, 7)
6

The step function g(x) is defined as shown.g(x) = What is the range of g(x)?

Question illustration
–
–3 ≤ g(x) ≤ 5
0
0 ≤ g(x) ≤ 10
{
{–3, 2, 5}
{
{0, 4, 10}
7

three

T
The starting distance, at 0 hours, is 300 miles.
A
At 2 hours, the traveler is 725 miles from home.
A
At 2.5 hours, the traveler is still moving farther from home.
A
At 3 hours, the distance is constant, at 875 miles.
T
The total distance from home after 6 hours is 1,062.5 miles.
8

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

1
16m3n3
1
16m3n4
1
18m3n3
1
18m3n4
9

Which statement is true about the function f(x) = ?

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I
It has the same domain as the function f(x) = .
Option I
I
It has the same range as the function f(x) = .
Option I
I
It has the same domain as the function f(x) = .
Option I
I
It has the same range as the function f(x) = .
Option I
10

The function f(x)= – is shown on the graph.

Question illustration
T
The range of the graph is all real numbers greater than or equal to 0.
T
The domain of the graph is all real numbers greater than or equal to 0.
T
The range and domain of the graph are the same.
T
The domain of the graph is all real numbers.
11

Which is the graph of the piecewise function f(x)?f(x) =

Question illustration
A
Option
B
Option
C
Option
D
Option

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