Cumulative Exam — Cumulative exam Answers…

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

–x3 + 6x2 + 9

–x3 + 2x2 – 9

5x3 – 2x2 – 2x – 9

5x3 – 2x2 + 2x + 9

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Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?

15x – 15 = 15x – 24

15x – 5 = 15x – 24

39x – 45 = 15x – 24

39x – 15 = 15x – 24

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?

440 = four-fifths x + 80

80 = four-fifths x + 440

440 = four-fifths (80) + x

440 = 80 x + four-fifths

Which expression is equivalent to 10x2y + 25x2?

5x2(2y + 5)

5x2y(5 + 20y)

10xy(x + 15y)

10x2(y + 25)

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

x – 14

x + 7

x – 7

x – 2

x + 2

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

x20

x100

Which statements are true? Select the two correct answers.

The square root of a positive number greater than 1 is less than the number.

The square root of a positive number is always less than half of the number itself.

The square root of a positive number less than 1 is less than the number.

The square root of a perfect square is not a whole number.

The square root of a positive number less than 1 is between 0 and 1.

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

, the difference of squares

, a perfect square trinomial

, the difference of squares

, a perfect square trinomial

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

(–4, 3)

(–2, 1)

(0, 4)

(1, 1)

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

The simplified product has 2 terms.

The simplified product has 4 terms.

The simplified product has a degree of 2.

The simplified product has a degree of 4.

The simplified product, in standard form, has exactly 2 negative terms.

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

6h3

12h2

30h4

48h5

Which expression is equivalent to ? Assume .

x y squared StartRoot 8 x cubed EndRoot

2 x cubed y cubed StartRoot x y squared EndRoot

2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot

4 x cubed y Superscript 4 Baseline StartRoot x EndRoot

Which is true about the polynomial ?

It is a binomial with a degree of 2.

It is a binomial with a degree of 3.

It is a trinomial with a degree of 2.

It is a trinomial with a degree of 3.

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

ab(7a2 + 10ab + 14b2)

a2b(7 + 10b + 14b2)

7a2(b + 3b2 + 7b3)

7a2b3(b2 + 3b + 7)

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures ounces each time he shampoos his dog and the bottle of shampoo originally contained ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

; times

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?

a =

a = 7

a =

a = 621

A rectangle with an area of x2 – 4x – 12 square units is represented by the model.

(x + 2) and (x – 6)

(x + 6) and (x – 2)

(x + 2) and (x – 10)

(x + 10) and (x – 2)

Bryson is picking green beans. He has already picked bushels and picks at a rate of of a bushel each hour. The equation can be used to represent h, the number of hours it will take him to pick 6 bushels. What is the value of h?