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Solving Linear Equations - Part II
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Math-Problem Solving:Long Division Face
Solving Linear Equations
Systems of Linear Equations in Two Variables
Solving a System of Linear Equations by Graphing
Ti-89 Solving Simultaneous Equations
Systems of Linear Equations in Three Variables and Matrix Operations
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Solving Quadratic Equations
Solving Systems of Linear Equations
Systems of Equations in Two Variables
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Math Logic & Problem Solving Honors
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SOLVING QUADRATIC EQUATIONS USING THE QUADRATIC FORMULA
SOLVING LINEAR EQUATIONS
 
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Solving Linear Equations

These are the methods used to solve linear equations:
1. Simplify the algebraic expressions in the equation.
2. Usually, simplify completely on each side individually before doing something to both sides.
3. Add or subtract the same number from both sides of the equation.
4. Multiply or divide both sides of the equation by the same non-zero number.

Eq. 1. Exercises. Do the following problems. On at least two of them, check the solution by
plugging it into the equation to see if it works. Answers are below.

1. Solve: 10x + 2x = 96
2. Solve: 2x + x = 72
3. Solve: 9x – 2x = 105
4. Solve: 112 = 6x – 2x
5. Solve: 3x = 9 * 4 – 12
6. Solve: 27 – 2*6 = 5x

In the following four problems, fill in the blank with either the word “simplify” or “solve” to
indicate what instruction would usually be given for a problem like this. Then follow the
instruction you just wrote and work the problem.

7. ______________ : 4*5 + 7*10
8. ______________ : 12 = 5x + x
9. ______________ : 4x + x
10. ______________ : 4*5 + 7*10 = 4x + x

Answers to Eq. 1:
1. x = 8
2. x = 24
3. x = 15
4. x = 28
5. x = 8
6. x = 3
7. “Simplify” 90
8. “Solve” x = 2
9. “Simplify” 5x
10. “Solve” x = 18

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