Solving Equations: By Maan Mufti

Easy

100

1 + X = 10

1 + X = 10 (-1)

X = 9

200

X + 7 - 3 = 18

X + 7 - 3 = 18 (+3)

X + 7 = 21 (-7)

X = 14

300

X + 9 - 16 = 14

X + 9 - 16 = 14 (+16)

X + 9 = 30 (-9)

X = 21

400

X + 3 - 8 = 2

X + 3 - 8 = 2(+8)

X + 3 = 10(-3)

X = 7

500

X - 37 + 19 = 20

X - 37 + 19 = 20 (-19)

X - 37 = 1 (+37)

X = 38

Medium

100

X + - 2 = 2

X + - 2 = 2 (+2)

X = 4

200

X + 2 - - 5 = 15

X + 2 - - 5 = 15 (- 5)

X + 2 = 10 (- 2)

X = 8

300

X + -2 - -2 -2 = 0

X + -2 - -2 -2 = 0 (+2)

X + -2 - -2 = 2 (-2)

X + -2 = 0 (+2)

X = 2

400

X x 2 ÷ 9 = 20

X x 2 ÷ 9 = 20 (x9)

X x 2 = 180 (÷2) 

X = 90

500

X  x 4 x - 2 = -576

X  x 4 x - 2 = -576 (x-2)

X  x 4 = 288 (÷4)

X = 72

Hard

100

X + 67 x -7 = -1113

X + 67 x -7 = -1113 (÷-7)

X + 67 = 159 (-67)

X = 92

200

X4 ÷ -8 = -16

X4 ÷ -8 = -16 (x -8)

X x 4 = 128 (÷ 4)

X = 32

300

X x 65 ÷ -13 = -325

X x 65 ÷ -13 = -325 (x 13)

X x 65 = 4225 (÷ 65)

X = 65

400

X ÷ 7 x 2 = 414

X ÷ -7 x 2 = -414 (÷ 2)

X ÷ -7 = -207 (x -7) 

X = 1421

500

X2 - -8 / 2 = 25

(The "/" is a fraction line)

X2 - -8 / 2 = 25 (x 2)

X2 - -8 = 50 (-8)

X2 = 42 (÷ 2)

X = 21

Very Hard

100

X + 7² = 370 

X + 7² = 370 (- 7²=49)

X = 321

200

X + (-3)² x 1¹⁴ = 40

X + (-3)² x 1¹⁴ = 40 (÷ 1¹⁴ = 1)

X + (-3)² = 40 (- (-3)² = 9)

X = 31

300

X - (-9)³ - 600 = 360

X - (-9)³ - 600 = 360 (+ 600)

X - (-9)³ = 960 (+ (-9)³ = -739)

X = 231

400

X + 14² - (-3)⁴ = 4328

X + 14² - (-3)⁴ = 4328 (+ (-3)⁴ = 81) 

X + 14² = 4409 (- 14² = 196)

X = 4213

500

X x (-21)2 x 29 = 74095

X x (-21)² x 29 = 74095

X x (-21)² = 2555

X = 2114

Mixed

100

X + 56 - 22 = 50

X + 56 - 22 = 50 (+22)

X + 56 = 77 (-56)

X = 21

200

X + 532 x 3 = 3192

X + 532 x 3 = 3192

X + 532 = 1064

X = 532

300

9X + 1⁹⁹⁹ - -91 = 35

9X + 1⁹⁹⁹ - -91 = 35

9X + 1⁹⁹⁹ = 126

9X = 126

X = 14

400

X + 51² + -2 = 2631

X + 51² + -2 = 2631 (+ 2)

X + 51² = 2633 (- 51² = 2601)

X = 32

500

X + 99² = 10551

X + 99² = 10551 (-9801)

X = 750