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Cumulative Exam — Cumulative exam Answers

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What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

A
–x3 + 6x2 + 9
B
–x3 + 2x2 – 9
C
5x3 – 2x2 – 2x – 9
D
5x3 – 2x2 + 2x + 9
42
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Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?

A
15x – 15 = 15x – 24
B
15x – 5 = 15x – 24
C
39x – 45 = 15x – 24
D
39x – 15 = 15x – 24
43

Vance ate a salad and of a turkey burger for dinner. The salad contained 80 calories and his entire meal contained 440 calories. Which equation can be used to determine x, the number of calories in the entire turkey burger?

Question illustration
A
440 = four-fifths x + 80
Option A
B
80 = four-fifths x + 440
Option B
C
440 = four-fifths (80) + x
Option C
D
440 = 80 x + four-fifths
Option D
44

Which expression is equivalent to 10x2y + 25x2?

A
5x2(2y + 5)
B
5x2y(5 + 20y)
C
10xy(x + 15y)
D
10x2(y + 25)
45

What are the factors of the trinomial? Select two options.

A
x – 14
B
x + 7
C
x – 7
D
x – 2
E
x + 2
46

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

A
x2
B
x5
C
x20
D
x100
47

Which statements are true? Select the two correct answers.

A
The square root of a positive number greater than 1 is less than the number.
B
The square root of a positive number is always less than half of the number itself.
C
The square root of a positive number less than 1 is less than the number.
D
The square root of a perfect square is not a whole number.
E
The square root of a positive number less than 1 is between 0 and 1.
48

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

Question illustration
A
, the difference of squares
Option A
B
, a perfect square trinomial
Option B
C
, the difference of squares
Option C
D
, a perfect square trinomial
Option D
49

Removing which point from the coordinate plane would make the graph a function of x?

Question illustration
A
(–4, 3)
B
(–2, 1)
C
(0, 4)
D
(1, 1)
50

Which statements are true about the fully simplified product of ? Select two options.

Question illustration
A
The simplified product has 2 terms.
B
The simplified product has 4 terms.
C
The simplified product has a degree of 2.
D
The simplified product has a degree of 4.
E
The simplified product, in standard form, has exactly 2 negative terms.

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