Unit 5 Review

Exponents

100

Simplify:

7^-2

1/49

200

Simplify:

x²y⁵.x³y⁶

x⁵y¹¹

300

Simplify:

21x³/3x^-1

7x⁴

400

Simplify:

(q³r²)⁴

q¹²r⁸

500

Simplify:

(2x⁰y⁴)²/(2y²)³

1y²/2

Polynomials

100

Write the polynomial in standard form AND name it based on degree and terms:

5r²+4-8r³-6r

-8r³+5r²-6r+4

Cubic polynomial

200

Simplify:

(5x²-3x+7x³) + (-9x²+2x³+8x)

9x³-4x²+5x

300

Simplify:

(y³-4y²-2) - (6y³+4-6y²)

-5y³+2y²-6

400

Simplify:

(2s-3)(5s+4)

10s²-7s-12

500

Simplify:

(6s+5)²

36s²+60s+25

Rational Expressions

100

Simplify:

8x/(x+1) + 3/(x+1)

(8x+3)/(x+1)

200

Simplify:

1/(x+3) - 3-x/(x+3)

(-2+x)/(x+3)

300

Simplify:

x²+6x+9/5x+15

(x+3)/5

400

Simplify:

(4x+12)/(x²-2x)   .  (x)/(6x+18)

2/3(x-2)

500

Simplify:

(x²+13x+40)/(x-7)  /  (x+8)/(x²-49)

(x+5)(x+7)

Probability

100

There are 5 red marbles, 7 green marbles, 4 black marbles, and 8 blue marbles in a bag.  Suppose you select one marble at random.  Find the probability. 

P(red)

5/24 or 20.8%

200

A dice is rolled.  Find the probability.

P(odd)

1/2 or 50%

300

You spin a spinner that has 8 equal-sized sections numbered 1 to 8. Determine the probability of spinning a prime number.

1/2 or 50%

400

A card is chosen from a well-shuffled deck of 52 cards. What is the probability that the card will be queen?

4/52 or 7.6%

500

A computer company manufactures 1,000 computers each day.  An average of 254 of these computers are returned with defects.  What is the probability that the computer you purchased is not defective?

746/1000 or 74.6%

Mixed

100

3x⁰y²

3y²

200

What is the degree of the polynomial?

x²y³z⁴

9

300

10k²+15k/5k

2k+3

400

A coin is tossed and a die with numbers 1-6 is rolled.  What is P(heads and 3)?

1/12

500

A spinner, numbered 1–8, is spun once.  What is the probability of spinning a multiple of 3? 

1/4 or 25%