ALLIED MAT110 MODULE 3 CHECK YOUR UNDERSTANDINGS

Question Points

1. Fill in the blank: A polynomial is ________ a binomial.

a. never

b. sometimes

c. always

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2. Add 5y – 4 and 2y2 – 8y.

a. 2y2 – 3y – 4

b. 2y2 + 3y – 4

c. 7y2 – 12y – 4

d. 2y2 + 13y – 4

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3.

Perform the indicated calculations. Write your result in scientific notation.

a. 8 x 10–31

b. 8 x 10–3

c. 8 x 103

d. 8 x 1031

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4. Write in descending order and give the degree. 8 – x

a. x – 8; 1

b. x – 8; 0

c. –x + 8; 1

d. –x + 8; 0

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5. Multiply. (–4x + 1)2

a. –4x2 – 4x + 1

b. 16x2 – 4x + 1

c. 16x2 + 1

d. 16x2 – 8x + 1

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6. Multiply. –6x(–6x – 2)

a. 36x2 – 2x

b. 48x2

c. 36x2 + 12x

d. –36x2 + 12x

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7. Simplify.

a.

b.

c.

d.

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8. Write using positive exponents and simplify, if possible. 3–2

a. –6

b. –9

c.

d. -

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9. Simplify and write your answer with only positive exponents.

a.

b.

c. a16

d. a3

.

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10. Express the number in scientific notation. The mass of a proton: 0.00000000000000000167 micrograms ()

a. 1.67 x 10–17

b. 1.67 x 10–18

c. 1.67 x 1017

d. 1.67 x 1020

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11.

Classify the following as a monomial, binomial or trinomial, where possible.

a. Monomial

b. Binomial

c. Trinomial

d. Not a polynomial

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12. The diameter of the Milky Way disc is approximately 9 x 1020 meters. How long does it take light, traveling at 1016 m/year to travel across the diameter of the Milky Way?

a. 900,000 years

b. 90,000 years

c. 9,000 years

d. 900 years

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13. Evaluate (assume x 0). –4x0

a. 0

b. 1

c. –4

d. –4x

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14. Evaluate –x2 – 7x + 7 for x = 4.

a. –37

b. 19

c. –51

d. –5

0

15. Remove the parentheses and simplify. 3y – (–7y – 6x)

a. 10y + 6x

b. 10y – 6x

c. –4y + 6x

d. –4y – 6x

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16. Simplify. Write your answer with positive exponents only.

a. a6b6c2

b.

c. a18b17c2

d.

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17. Divide.

a. 9a3b8

b. 40a2b5

c. 9a2b5

d. 40a3b8

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18. Classify the following as a monomial, binomial or trinomial, where possible. 3x2 – 9xy + y2

a. Monomial

b. Binomial

c. Trinomial

d. Not classified

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19. Subtract 6x2 – 2x + 8 from 10x2 – 10x + 3.

a. 4x2 – 12x + 11

b. 4x2 – 12x – 5

c. 4x2 – 8x – 5

d. 4x2 – 8x + 11

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20. Divide.

a.

b.

c.

d.