Equations Simplified

The letter X is often used in equations.

Equations Simplified

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 = 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
4.
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
5.
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
6.
X = 234 - 197
431
421
47
37
234 - 197 = 37 so X = 37. Answer (d) is correct
7.
X = 14 + 3
42
11
17
16
14 + 3 = 17 so X = 17. Answer (c) is correct
8.
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
9.
X = 28 + 7
36
196
21
35
28 + 7 = 35 so X = 35. Answer (d) is correct
10.
X = 15 + 57 - 18
90
54
837
39
15 + 57 = 72 - 18 = 54 so X = 54. Answer (b) is correct
Author:  Christine G. Broome

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