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
1
2. Add 5y –
4 and 2y2 – 8y.
a. 2y2 – 3y – 4
b. 2y2 + 3y – 4
c. 7y2 – 12y – 4
d. 2y2 + 13y – 4
1
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
1
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
1
5. Multiply.
(–4x + 1)2
a. –4×2 – 4x + 1
b. 16×2 – 4x + 1
c. 16×2 + 1
d. 16×2 – 8x + 1
1
6. Multiply.
–6x(–6x – 2)
a. 36×2 – 2x
b. 48×2
c. 36×2 + 12x
d. –36×2 + 12x
1
7. Simplify.

a.
b.
c.
d.
1
8. Write
using positive exponents and simplify, if possible. 3–2
a. –6
b. –9
c.
d. –
1
9. Simplify
and write your answer with only positive exponents.
a.
b.
c. a16
d. a3
.
1
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
0
11.
Classify the following as a monomial, binomial or trinomial,
where possible.

a. Monomial
b. Binomial
c. Trinomial
d. Not a polynomial
1
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
1
13. Evaluate
(assume x 0). –4×0
a. 0
b. 1
c. –4
d. –4x
1
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
1
16. Simplify.
Write your answer with positive exponents only.

a. a6b6c2
b.
c. a18b17c2
d.
1
17. Divide.
a. 9a3b8
b. 40a2b5
c. 9a2b5
d. 40a3b8
1
18. Classify
the following as a monomial, binomial or trinomial, where possible. 3×2 – 9xy +
y2
a. Monomial
b. Binomial
c. Trinomial
d. Not classified
1
19. Subtract
6×2 – 2x + 8 from 10×2 – 10x + 3.
a. 4×2 – 12x + 11
b. 4×2 – 12x – 5
c. 4×2 – 8x – 5
d. 4×2 – 8x + 11
1
20. Divide.
a.
b.
c.
d.