Solving Two-Step Equations(SOL 7.14), Study notes of Linear Algebra

Simplify. Solve the two-step equation. Check your solution. − 12 = −5. 7k − 14 = 42.

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Math 6/7 NOTES (6.3) Name _____________________________
Solving Two-Step Equations (SOL 7.14)
Example 1 Solve 3x + 1 = 7 CHECK
3x + 1 = 7
Locate the variable term.
3x + 1 = 7
3x + 1 = 7
-1 -1
Use INVERSE OPERATIONS
to isolate the x term.
In Reverse PEMDAS order
3(__) + 1 7
3x = ____
Simplify.
____+ 1 7
To eliminate the coefficient
divide each side by ___.
____ = 7
x = ___
Simplify.
Solve the two-step equation. Check your solution.
12 = 5
7k 14 = 42
12 = 24 + 4b
3g 5 = 17
9 = 4a + 13
13 = 5m – 2
5 + 7k = 19
15 = 11 – 2t
13 = 11 – 4x
6
3x
4
r
pf3
pf4

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Math 6/7 NOTES (6.3) Name _____________________________

Solving Two-Step Equations (SOL 7.14)

Example 1 Solve 3 x + 1 = 7 CHECK 3 x + 1 = 7 Locate the variable term.^3 x + 1 = 7 3 x + 1 = 7 -1 - Use INVERSE OPERATIONS to isolate the x term. In Reverse PEMDAS order

3 (__) + 1 ≟ 7

3 x = ____ Simplify.^ ____+ 1 ≟ 7 To eliminate the coefficient divide each side by ___.

____ = 7

x = ___ Simplify. Solve the two-step equation. Check your solution. − 12 = − 5 7 k − 14 = 42 –12 = 24 + 4b 3 g – 5 = 17 9 = 4 a + 13 13 = 5 m – 2

  • 5 + 7 k = – 19 – 15 = 11 – 2 t 13 = 11 – 4 x 3 x 6 = 4 r

𝑠 2

𝑛 5 = –4 4 –^3 y^ = 31 15 – 2 b = –9 (^) – 1 3 y – 6 = –11 16 –^ 𝑟 7

3( y + 5) = 21 7( p – 3) = 35 –48 = 6( v + 2) 𝑥 + 3 2

𝑎 − 4 3

𝑘 + 1 −

7 – 2 y = –3 4 −^ 𝑥 = –7 15 = –3( w^ – 2)