*This Math quiz is called 'Equations Simplified' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

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An “equation” in math is a specific formula used to find an answer. In a simplified equation, there are only two parts that are joined by the equal “=” sign. For example: X = Y. The letters “X” and “Y” are often referred to as “expressions.” The expression on both sides of the equal sign will have the same value.

In order to solve an equation, we need to know what one of the expressions is. Let’s look at the next equation.

X = 6 + 2

To solve this equation we need to add 6 + 2 and the answer is 8. This then tells us that “X” is “8” because:

8 = 6 + 2

This shows that both expressions have the same value.

1.

X = 41 x 8

33

328

49

348

41 x 8 = 328 so X = 328. Answer (b) is correct

2.

Y = 12 x 12 - 36 + 11

191

97

119

98

12 x 12 = 144 - 36 = 108 + 11 = 119 so X = 119. Answer (c) is correct

3.

Y = 10 + 78

-68

68

88

780

10 + 78 = 88. There are no negative numbers to be found so Answer (a) is not correct. The correct answer is Answer (c), Y = 88

4.

Y = 56 - 23

79

33

1288

-33

56 - 23 = 33. There are no negative numbers to be found so Answer (d) is not correct. The correct answer is Answer (b), Y = 33

5.

X = 234 - 197

431

421

47

37

234 - 197 = 37 so X = 37. Answer (d) is correct

6.

X = 14 + 3

42

11

17

16

14 + 3 = 17 so X = 17. Answer (c) is correct

7.

X = 7 x 9

63

16

-2

61

7 x 9 = 63. There are no negative numbers to be found so Answer (c) is not correct. The correct answer is Answer (a), X = 63

8.

X = 15 + 57 - 18

90

54

837

39

15 + 57 = 72 - 18 = 54 so X = 54. Answer (b) is correct

9.

Y = 16 x 17

272

33

-1

273

16 x 17 = 272. There are no negative numbers to be found so Answer (c) is not correct. The correct answer is Answer (a), Y = 272

10.

X = 28 + 7

36

196

21

35

28 + 7 = 35 so X = 35. Answer (d) is correct

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