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This quiz looks at more complex equations. Examine the following examples.

X - 4 = 8

In order to solve an equation with a variable, we need to make the expressions have the same value. Here, clearly X cannot equal 8 because 8 - 4 would be “4”. So how do we make the “X” equal “8”?

In a variable equation we must either add or subtract the known number in the unknown expression. In the above equation the unknown expression is “X - 4”. As this shows the number “4” is being subtracted from “X” we must add 4 to 4 as follows:

X - 4 + 4

*(NOTE: If 4 was being added in the first expression, then we would have to subtract 4 as follows: X + 4 - 4)*

We must then do the equal math to the known express of “8” as follows:

8 + 4

The new equation will now look as follows:

X - 4 + 4 = 8 + 4

We now add 8 + 4 = 12 and that makes the value of “X” equal 12.

12 - 4 = 8 so X = 12

1.

X - 132 = 0

264

132

-132

0

2.

X + 83 = 159

242

42

66

76

X + 83 - 83 = 159 - 83

159 - 83 = 76

76 + 83 = 159

X = 76

159 - 83 = 76

76 + 83 = 159

X = 76

3.

X + 13 = 54

67

31

41

27

X + 13 - 13 = 54 - 13

54 - 13 = 41

41 + 13 = 54

X = 41

54 - 13 = 41

41 + 13 = 54

X = 41

4.

X + 11 = 41

20

52

30

32

X + 11 - 11 = 41 - 11

41 - 11 = 30

30 + 11 = 41

X = 30

41 - 11 = 30

30 + 11 = 41

X = 30

5.

X - 14 = 85

81

71

99

89

X - 14 + 14 = 85 + 14

85 + 14 = 99

99 - 14 = 85

X = 99

85 + 14 = 99

99 - 14 = 85

X = 99

6.

X - 36 = 61

97

25

87

85

X - 36 + 36 = 61 + 36

61 + 36 = 97

97 - 36 = 61

X = 97

61 + 36 = 97

97 - 36 = 61

X = 97

7.

X - 94 = 146

260

240

230

250

X - 94 + 94 = 146 + 94

146 + 94 = 240

240 - 94 = 146

X = 240

146 + 94 = 240

240 - 94 = 146

X = 240

8.

X - 67 = 52

119

109

99

17

X - 67 + 67 = 52 + 67

52 + 67 = 119

119 - 67 = 52

X = 119

52 + 67 = 119

119 - 67 = 52

X = 119

9.

X + 5 = 33

38

28

27

37

X + 5 - 5 = 33 - 5

33 - 5 = 28

28 + 5 = 33

X = 28

33 - 5 = 28

28 + 5 = 33

X = 28

10.

X + 24 = 39

63

5

25

15

X + 24 - 24 = 39 - 24

39 - 24 = 15

15 + 24 = 39

X = 15

39 - 24 = 15

15 + 24 = 39

X = 15

0 + 132 = 132

132 - 132 = 0

X = 132