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Date:___________________

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MEAP Preparation - Grade 7 Mathematics
2.35 Linear Equations - 2

Examples:
  1. 2x + 8 = 14 Then x = ?
    2x + 8 = 14 subtracting 8 from both sides
    2x + 8 - 8 = 14 - 8
    2x = 6 Dividing both sides by 2
    2x/2 = 6/2
    x = 3

  2. 6y - 15 = 2y + 9 Then y = ?
    6y - 15 = 2y + 9 subtracting 2y from both sides
    6y - 15 - 2y = 2y + 9 - 2y
    4y - 15 = 9 Adding 15 both sides
    4y - 15 + 15 = 9 + 15
    4y = 24 dividing both sides by 4
    4y/4 = 24/4
    y = 6

  3. 4(s + 1) = -2(4 - s) distributive property
    Note: Negative number multiplied by a negative number is positive. -2 x -s = 2s
    4s + 4 = -8 + 2s subtracting 2s both sides
    4s + 4 - 2s= -8 + 2s - 2s
    2s + 4 = -8 subtracting 4 both sides
    2s + 4 - 4 = -8 - 4
    2s = - 12 dividing both sides by 2
    2s/2 = - 12/2
    s = -6

  4. 2/x = 3/6
    x/2 = 6/3
    x/2 = 2
    x = 4

  5. t/6 + 2 = t/3
    This equation contains fractions so multiply both sides by the LCD of 6 and 3 that is 6
    6(t/6 + 2) = 6(t/3)
    t + 12 = 2t subtracting t from both sides
    t + 12 - t = 2t - t
    12 = t
    Therefore, t = 12

Directions: Solve for the variables. Also write at least 10 examples of your own.

Name: ___________________

Date:___________________

MEAP Preparation - Grade 7 Mathematics
2.35 Linear Equations - 2

Q 1: 5x/6 = 50 then x = ?
60
50
70

Q 2: 1.5x = 30 then x = ?
22
20
24

Q 3: x/2 = 40 then x= ?
80
42
60

Q 4: 5(y-1) - 2(y+6) = 2y + 12 then y = ?
27
29
25

Q 5: (-x/3) = 24 then x = ?
-54
-21
-72

Q 6: (-x/2) = -10
22
21
20

Q 7: (-2x) = 20 then x = ?
20
-10
10

Q 8: 2x/0.2 = - 0.8 then x=?
-0.08
0.08
-0.8

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Question 10: This question is available to subscribers only!


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