Flashcards in Equation problems for algebra 1 Deck (49)
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1
Addition Property of Equality
If you add the same amount to both sides of an equation, the two expressions in the equation remain equivalent.
2
Division Property of Equality
If you divide the same amount from both sides of an equation, the two expressions in the equation remain equivalent.
3
equals sign
A symbol of equality; =
4
equation
A mathematical sentence showing two expressions are equal; contains an equals sign (=)
5
expressions
A combination of numbers and operations
6
inverse operations
Operations which undo each other.
7
Multiplication Property of Equality
When you multiply both sides of an equation by the same value, the two expressions remain equivalent.
8
solution
The value of a variable that makes an equation true.
9
solve
To replace a variable with a value that results in a true sentence.
10
Subtraction Property of Equality
When you subtract the same value from both sides of an equation, the two expressions remain equivalent.
11
To solve an equation you must......
Get the variable alone
12
To get the variable alone you must.....
Get rid of the things on the variable side
13
To get rid of addition you must.......
Subtract on BOTH sides of the equation
14
To get rid of subtraction you must......
Add on BOTH sides of the equation
15
To get rid of division you must.....
Multiply on BOTH sides of the equation
16
To get rid of multiplication you must....
Divide on BOTH sides of the equation
17
x + 7 = 12
Subtract 7 from both sides leaving you with x = 5
18
x - 8 = 17
Add 8 to both sides leaving you with x = 25
19
x/12 = 36
Multiply 12 on both sides leaving you with x = 432
20
4x = 12
Divide 4 on both sides leaving you withx = 3
21
Two step equations mean you must.....
Get rid of the addition or subtraction first and then get rid of the multiplication or division second (by doing the opposite on both sides)
22
3x + 12 = 36
Subtract 12 from both sides and get 3x = 24Then divide by 3 on both sides and getx = 8
23
4x - 15 = 17
First you must add 15 to both sides to get4x = 32Then divide both sides by 4 and getx = 8
24
7 - x/2 = 23
First you must get rid of positive seven (be careful this does not say - 7 so to get rid of positive 7 you must subtract 7 from both sides to get -x/2 = 16To get rid of the - and the 2 you must multiply both sides by -2 and getx = -32
25
9 + x/15 = 21
First you must get rid of the positive 9 by subtracting 9 from both sides to getx/15 = 12Then you must get rid of 15 so you must multiply both sides by 15 to getx = 180
26
To solve an equation you must......
Isolate variable
27
To get rid of addition you must.......
Subtract on BOTH sides of the equation
28
To get rid of subtraction you must......
Add on BOTH sides of the equation
29
To get rid of division you must.....
Multiply on BOTH sides of the equation
30
To get rid of multiplication you must....
Divide on BOTH sides of the equation
31
Describe how to solvex + 7 = 12
Subtract 7 from both sides leaving you with x = 5
32
Describe how to solvex - 8 = 17
Add 8 to both sides leaving you with x = 25
33
Describe how to solvex/12 = 36
Multiply 12 on both sides leaving you with x = 432
34
Describe how to solve4x = 12
Divide 4 on both sides leaving you withx = 3
35
Two step equations mean you must.....
Get rid of the addition or subtraction first and then get rid of the multiplication or division second (by doing the opposite on both sides)
36
Describe how to solve3x + 12 = 36
Subtract 12 from both sides and get 3x = 24Then divide by 3 on both sides and getx = 8
37
Describe how to solve4x - 15 = 17
First you must add 15 to both sides to get4x = 32Then divide both sides by 4 and getx = 8
38
Describe how to solve7 - x/2 = 23
First you must get rid of positive seven (be careful this does not say - 7 so to get rid of positive 7 you must subtract 7 from both sides to get -x/2 = 16To get rid of the - and the 2 you must multiply both sides by -2 and getx = -32
39
Describe how to solve9 + x/15 = 21
First you must get rid of the positive 9 by subtracting 9 from both sides to getx/15 = 12Then you must get rid of 15 so you must multiply both sides by 15 to getx = 180
40
Solvex - 6 = 78
x = 84
41
Solve34 - x = 15
x = 19
42
Solve8x = 64
x = 8
43
Solve6x - 13 = 41
x = 9
44
Solvex/8 - 22 = 14
x = 288
45
Solvex/-2 - 15 = 15
x = -15
46
Solve18 = 6x
x = 3
47
Solve20 = 3x + 2
x = 6
48
Solve48 = x/13 - 17
x = 845
49
