Answers2026 Summer Titan Success Lab_11th grade Advanced Algebra CCCumulative Exam

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21
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Matrices C and D are shown below. What values of a and b will make the equation CD = I true?

Question illustration
A
mc019-3.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-5.jpg
Option C
D
mc019-6.jpg
Option D
22
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What are the values of x and y in the matrix subtraction below?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
23

In the diagram below, = . What is the value of m?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
2 StartRoot 3 EndRoot
Option D
24

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 opens up and to the left in quadrant 2.
Option A
B
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens up and to the left in quadrants 2 and 3.
Option B
C
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 2, and the other curve opens up and to the left in quadrant 3.
Option C
D
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrants 3 and 4.
Option D
25

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.

A
and x = ±1
Option A
B
and x = ±i
Option B
C
and x = ±1
Option C
D
and x = ±i
Option D
26

What is the completely factored form of 8x2 – 50?

A
2(x + 5)(x – 5)
B
2(2x – 5)(2x – 5)
C
2(2x + 5)(2x + 5)
D
2(2x + 5)(2x – 5)
27

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Question illustration
A
x – 4
B
x – 2
C
x + 2
D
x + 4
28

A diagonal matrix has the elements shown below.Which is the diagonal matrix containing these elements?

Question illustration
A
mc016-2.jpg
Option A
B
mc016-3.jpg
Option B
C
mc016-4.jpg
Option C
D
mc016-5.jpg
Option D
29

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

Question illustration
A
3:00 a.m.
B
5:00 a.m.
C
3:00 p.m.
D
5:00 p.m.
30

Which system is equivalent to ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 10 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row 5 x squared + 6 y squared = 50 2nd row negative 21 x squared minus 6 y squared = 30 EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 250 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row 35 x squared + 42 y squared = 350 2nd row negative 35 x squared minus 10 y squared = negative 50 EndLayout
Option D
31

If and , what is X when ?

Question illustration
A
mc006-4.jpg
Option A
B
mc006-5.jpg
Option B
C
mc006-6.jpg
Option C
D
mc006-7.jpg
Option D
32

Which expression is equivalent to –8?

A
–2–3
B
(Negative one-half) Superscript negative 3
Option B
C
(one-half) Superscript negative 3
Option C
D
2–3
33

If , then what is ?

Question illustration
A
mc007-3.jpg
Option A
B
mc007-4.jpg
Option B
C
mc007-5.jpg
Option C
D
mc007-6.jpg
Option D
34

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 0.5), (0, 2), (3, 0)
B
(0, 0), (0, 2), (1.5, 1), (3, 0)
C
(0, 0), (0, 0.5), (1.5, 1), (3, 0)
D
(0, 0), (0, 0.5), (1, 1.5), (3, 0)
35

What is the value of given the diagram below?

Question illustration
A
Negative StartRoot 5 EndRoot
Option A
B
Negative StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
StartRoot 5 EndRoot
Option D
36

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

A
3, 4, 5, 6
B
3, 4, 5, 6i
C
3, 4, ,
Option C
D
3, 4, 5 + i, –5 + i
37

One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

Question illustration
A
x = –25 or x = 10
B
x = –25, x = 1, or x = 10
C
x = –10 or x = 5
D
x = –10, x = –5, or x = 5
38

Based on the type of equations in the system, what is the greatest possible number of solutions?

Question illustration
A
1
B
2
C
3
D
4
39

What is the equation of the graph below?

Question illustration
A
y = cosine (StartFraction x Over 0.4 EndFraction)
Option A
B
y = cos(5x)
C
y = cos(0.4x)
D
y = cosine (StartFraction x Over 5 EndFraction)
Option D
40

What is the product of ?

Question illustration
A
StartFraction 7 Over m Superscript 5 EndFraction
Option A
B
7m6
C
StartFraction 10 Over m Superscript 5 EndFraction
Option C
D
10m6

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