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?