Algebraic Properties
One-variable Equations
Inequality Problems
Literal Equations
Unit Conversions
100

Name the property

(a+b) + c = (b+a) + c

Commutative Property

100

Solve for x


x = 14

100

Solve for x


x < -18

100

Solve for “h”


h = \frac{2A}{b}

100

Convert 42 days into hours

1,008 hours

200

Name the property

a(b+c) = a*b + a*c

Distributive Property

200

Solve for r

r = -1

200

Solve for x

x ≥ -15

200

Solve for “x”


x=3y-29

200

Convert 66 feet per second into yards per minute

1320 yards per minute

300

Name the properties

  1. Additive Property of Equality


  1. Multiplicative Property of Equality 

300

Solve for n


n = 0

300

Find all values of x that make this true


x < -9   OR   x > 5

300

Solve for “t”


t=\frac{\frac{A}{P}-1}{r}

OR

t=\frac{A-P}{Pr}

300

Convert 99 pounds into grams

= 45,000 grams

400

Which property was incorrectly used here?


Distributive Property

400

The sum of three consecutive integers is -114. What are the three integer?

-39, -38, -37

400

Solve for all values of x


-2 < x < -4/3

400

Solve for C

D=\frac{C-S}{Cn} 

C=\frac{-S}{Dn-1}

OR

C=\frac{S}{1-Dn}

400

A backyard fountain recirculates roughly 12,080 gallons per month (30 days). What would this be in liters per day?

Approximately 1530L/day

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