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Algebra Topic 7 Test (1/2)

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Last updated over 2 years ago
11 questions
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Question 1
1.

Question 2
2.

Write -8x^{2}-2+5x^{4}-x+2x^{3} in standard form.

Question 3
3.

Question 4
4.

Simplify: (-3x^{2}-8)-(x^{2}+4x-7). Write your answer in standard form.

Question 5
5.

Question 6
6.

Find the product: (3x^{2}+4)(x^{3}-3x+6). Write your answer in standard form.

Question 7
7.

A portrait without its frame has a height 2 times its width w, in centimeters. It's frame extends 10 cm past the edge of the portrait on each of its four sides. What is a polynomial expression, in terms of w, for the total area of the portrait and frame together? Simplify your expression and write it in standard form.

Question 8
8.

Question 9
9.

Factor the polynomial. If it is prime (already maximally factored), then say so.
(16y^{4}-36)

Question 10
10.

A square picture has a 3-inch frame around it. If the area of the frame is 216 \textrm{ in}^{2}, what is the area of the picture?

Question 11
11.

What is the greatest common factor of the terms of the polynomial 44t^{3}+8t^{2}-20t

Which of the following expressions are fourth-degree trinomials? Select all that apply.
2t^{3}r^{1}+5t^{2}r-9tr^{2}+77
4z^{3}y
x^{3}+6x^{2}y^{4}+3y^{2}
19x^{4}+2x^{2}-18
Simplify: (4x^{2}+10x^{3}-8)-(3x^{3}-x+9).
7x^{3}+4x^{2}+x-17
x^{3}+11x^{2}+x-17
7x^{3}+4x^{2}-x+1
x^{3}+4x^{2}-x-1
Find the product: 12g(-2g^{5}-3g^{4}+7)
-6g^{4}-4g^{3}+7
-14g^{5}-15g^{4}+19g
-24g^{6}-36g^{5}+84g
-2g^{5}-3g^{4}+12g+7
Find the product: (2a+5b)^{2}
4a^{2}+20ab+25b^{2}
4a^{2}-25b^{2}
4a^{2}+25b^{2}
4a^{2}-20ab-25b^{2}