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1. Polynomials Add or subtract

(4x2 + 15x – 3) – (–3x2 + 5) (1 point)

A. 7x2 + 15x – 8

B. x2 + 12x + 2

C. x2 + 15x – 8

D. 7x2 + 8 2.

2. Simplify the polynomial.

–3f2 + 4f – 3 + 8f2 + 7f + 1 (1 point)

A. 5f2 – 11f + 2

B. 11f2 + 11f + 2

C. 5f2 + 11f – 2

D. –5f2 + 11f – 2

3. Add or subtract

(2x2 + 6x + 1) + (–7x2 + 2x – 3) (1 point)

A. 5x2 – 4x – 2

B. –5x2 + 8x – 2

C. 5x2 – 8x + 2

D. –9x2 – 8x + 2

4. Name the coefficients in the polynomial.

4x2 + 3x – 3 (1 point)

A. 4, –3, –3

B. 4, 3

C. 4, 3, 3

D. –4, –3

5. How many terms are in the following polynomial?

6x4 + 3x3 – 2x2 + 15x – 14 (1 point) A. 5

B. 4

C. 3

D. 2

6. In the expression –7x – 5x2 + 5, what is the coefficient of x? (1 point)

A. 7

B. 5

C. –5

D. 7


7. Write the expression using scientific notation.

(2.5 • 104)(4 • 103) (1 point)

A. 10 • 107

B. 10 • 108

C. 1 • 108

D. 10 • 1012

8. Write the expression using a single exponent.

22 • 28 (1 point)

A. 410

B. 210

C. 416

D. 216

\( 1.\\(4x^2+15x-3)-(-3x^2+5)\\=4x^2+15x-3+3x^2-5\\=7x^2+15x-8\leftarrow A. \)


\( 2.\\-3f^2+4f-3+8f^2+7f+1\\=5f^2+11f-2\leftarrow C. \)


\( 3.\\(2x^2+6x+1)+(-7x^2+2x-3)\\=2x^2+6x+1-7x^2+2x-3\\=-5x^2+8x-2\leftarrow B. \)


\( 4.\\4x^2+3x-3\\\{4;\ 3;-3\} \)


\( 5.\\6x^4+3x^3-2x^2+15x-14\\\{6;\ 3;-2;\ 15;-14\}\to5\leftarrow A. \)


\( 6.\\-7x-5x^2+5\\\{-7\}\leftarrow D. \)


\( 7.\\(2.5\cdot10^4)(4\cdot10^3)=2.5\cdot4\cdot10^{4+3}=10\cdot10^7\\=10^{1+7}=10^8=1\cdot10^8\leftarrow C. \)


\( 8.\\2^2\cdot2^8=2^{2+8}=2^{10}\leftarrow B. \)


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