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.....

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

39

## Describe how to solve9 + x/15 = 21

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