Properties
Vocabulary
Solving for X
Simplifying
Story Problems
100
32+(56+45)=(32+56)+45 and 89*(45*76)=(89*45)*76
Associative Property
100
The parts of an expression that are added together.
Terms
100
3x=48
x=16
100
68+45x+30+76x
121x+108
100
Daniel has 37 quarters all with different years, 12 are from 1970-1985, x are from 1986-1999, and 16 are from 2000-present. How many quarters are from 1986-1999?
12+x+16=37 x=9
200
65+34+72=34+72+65 and 49*23*17=23*17*49
Commutative Property
200
A mathematical sentence formed by placing an equal sign.
Equation
200
9x(53+60)=8136
x=8
200
857x+x+568+3+56+23x
881x+627
200
Adrian has 390 shots total in her basketball game history, 243 are 2-points, x are 3-points , 127 miss , and 14 are free throws. How many 3-pointers did she make?
390=243+x+127+14 x=6
300
4756375663658835577355736*0=0
Zero Property
300
A number that produces a true statement when it is substituted for the variable.
Solution
300
32(5x+10)+(-345)=935
x=6
300
459+886x+123+847x+506*5
1733x+3112
300
Howard has 673 songs on his computer, 218 are classified under the "Pop & Hip-Hop" section, 83 are under "Rock & Metal" , 256 are under "Favorites", and x are under "90's". How many song are listed under the "90's" section.
673=218+83+252+x x=120
400
7(2+6)=14+42
Distributive Property
400
Terms with identical variable parts
Like terms
400
54x(4+3+8)+36(7x+2)=2196
x=2
400
575a+775x*0+4753a+586x
5328a+586x
400
You are building a house with 5 sides with a perimeter of 172 feet, one side is 37 feet long, another is x feet, the third is (x-5=y) feet, the fourth is (y+6)feet, and the fifth is (x+y-36)feet. Find the variables.
172=37+x+(x-5)+(y+6)+(x+y-36) x=36 feet, y=31 feet
500
64756+0=64756 and 846*1=846
Identity Property
500
Two operations that undo each other
Inverse operations
500
x+x+x+x+x+x+x+x(765+8)=770
x=1
500
3x*7x+485a+58a
21x(squared)+543a
500
You have $709, $348 is spent on a new system, x is spent on controllers, (x+35+57-23+45+67) is spent on games, y is spent on extra batteries, and $23 is spent on a charging station. Find both variables.
709=348+x+(x+35+57-23+45+67)+y+23 x=67, y=23
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