Logic B (Week 12)

Two-Step Problems,Addition

100

If x + 7 = 2, the value of x + 3

What is -2?

200

If x - 6 = 4, the value of x - 5

What is 5?

300

(m^-3n)/n^-3+(2mn^4)/m^3

simplified, with all variables positive

What is

(3m^4)/n^3?

400

x^-2y+(3y)/x^2-5xy

simplified, with all variables in the numerator

What is

4x^-2y-5xy?

500

(a^-8b^2)/b^-9-(4b^11)/a^8+(6b^11)/(a^8b^5)

simplified, with all variables in the denominator

What is

-3/(b^-11a^8)+6/(a^8b^-6)?

MultivariableEquations

100

The equation below solved for b:

7a-b=11

What is

b=7a-11?

200

The equation below solved for x:

6x-y+z=4

What is

y/6-z/6+2/3?

300

The equation below solved for y:

8y-13x-8=4

What is

y=13/8x+3/2?

400

The equation below solved for z:

5y+z-2y-4+3z=0

What is

z=-3/4y+1?

500

The equation below solved for p:

8p+3w=w-15-2p

What is

p=-1/5w-3/2?

LCM(Least Common Multiple)

100

The LCM of 8, 10, and 16

What is 80?

200

The LCM of 4a³b⁴ and 6a¹⁰b²

What is 12a¹⁰b⁴?

300

The LCM of 14, 20, and 30

What is 420?

400

The LCM of 12x⁴y²m³ and 20x⁶ym³

What is 60x⁶y²m³?

500

The LCM of 75, 120, and 315

What is 12600?

Addition ofRational Expressions

100

(4m-2)/(3m+2)+(6m-4)/(3m+2)

What is

(10m-6)/(3m+2)?

200

(9a)/(xy^3+m)-(2+7a)/(xy^3+m)

What is

(2a-2)/(xy^3+m)?

300

m/p^2+3/p^3-4

What is

(mp+3-4p^3)/p^3?

400

5/x+x/b+a/c

What is

(5bc+x^2c+axb)/(xbc)?

500

a/c^2+3/(4c^3)+m/(3c^4)

What is

(12ac^2+9c+4m)/(12c^4)?

Miscellany

100

1-2

What is -1?

200

2-:5

What is

0.4,2/5?

300

7*9

What is 63?

400

3+11+8+4

What is 26?

500

6^3

What is 196?