Answers2026 Summer Titan Success Lab_11th grade Advanced Algebra CCCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Given that , what is the value of ?

Question illustration
A
Plus-or-minus StartRoot eight-thirds EndFraction
Option A
B
Plus-or-minus StartRoot eleven-eighths EndFraction
Option B
C
Eleven-eighths
Option C
D
Eight-thirds
Option D
42
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Which graph represents the function ?

Question illustration
A
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.
Option D
43

Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce.Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes. What are the constraints for the problem?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-6.jpg
Option C
D
mc019-8.jpg
Option D
44

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

A
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
B
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
C
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
D
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
45

Given the system , which statement is true?

Question illustration
A
The system has one unique solution because the determinant of the coefficient matrix is not zero.
B
The system has one unique solution because the determinant of the coefficient matrix is zero.
C
The system has no unique solution because the determinant of the coefficient matrix is not zero.
D
The system has no unique solution because the determinant of the coefficient matrix is zero.
46

For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7?

A
Four-sevenths
B
Seven-fourths
C
3
D
28
47

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3
48

What is the solution of ?

Question illustration
A
c = 0 and c = 3
B
all real numbers
C
all real numbers, except c ¹ 0 and c ¹ 3
D
no solution
49

Which of the following matrices does not have an inverse?

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
50

Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

A
0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B
0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C
0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D
0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1

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