test 2

systems and word problems

100

A cook needs 80 qts of 37% butterfat milk, but has only 19% and 43% available. Find how many qts of each should be mixed to get the desired mixture.

20 qts of 19% and 60 qts of 43%

200

  x +y  -z =-4                                                         2x +y +z =3                                                             x-2y+3z=14

(1,-2,3)

300

x-y-2z=3

x+2y+z=1

   y+z=-2

no solution

400

Becca needs 60 qts of 5% acid. She only has 6% and 3%. How many qts of each doe she need to make 60 qts of the 5% acid?

40 qts of 6% and 20 qts of 3%

500

2x-2y+3z=4

x-3y+2z=2

-3x+5y-5z=-6

All real numbers

Infinite number of solutions

product, quotient, and zero exponent rules

100

(536)(228)⁰

536

200

-5x⁴*4x⁹

-20x¹³

300

-24st⁹/8s⁵t³

-3t⁶/s⁴

400

x^10a * x^8a * x^9a+2

x^27a+2

500

35x⁷y⁸/-7xy²

-5x⁶y⁶

power to a power and negative exponent rules

100

(3x⁶y³)²

9x¹²y⁶

200

5^-2

1/25

300

(x³)^-4

1/x¹²

400

(5d²)(d^-5)/15d^-3

1/3

500

(6a^-3b)^-2/9a^-6b²

a¹²/324b⁴

scientific notation and add/sub polys

100

write in scientific notation:

0.00000080109

8.0109 * 10^-7

200

(5x⁹+7x⁸+5x⁷+5)-(7x⁹+9x⁸+8x⁷+9)

what is the degree?

-2x⁹-2x⁸-3x⁷-4

the degree is 9

300

5.8212 * 10⁵

582,120

400

(4w²+7w-5)+(9w²-w+8)

13w²+6w+3

500

(5b³+8b-2)-(b³+6b²-4b-3)

4b³-6b²+12b+1

mult. polys and factor

100

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

8x²+14x-15

200

24x⁹y⁸+36x⁵y⁶-60x²y²

12x²y²(2x⁷y⁶+3x³y⁴-5)

300

-9ax⁵(-10ax⁶-12x²-2a)

90a²x¹¹+108ax⁷+18a²x⁵

400

3x³+6x²-27x-54

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

500

(x-y+3)(2x-4)

2x²+2x-2xy-4y-12