1. Linear Equations in One Variable
Sec. 1.2
Linear Equations in One Variable

2. Equation Solve Solution Two alg. Expressions that are equal
Find values for which x is true
Solution
The values that make the equation true

3. Identity Equation
An equation that is true for every real number in the domain
Ex.
X2 – 9 = (x+3)(x-3)

4. Conditional Equations
Equation that is true for some (or none) of the real numbers in the domain
Ex.
X2-9=0
Only solutions are 3 and -3 so conditional

5. Linear equation in 1 variable
Standard form
ax+b=0
a & b are real numbers, a≠0
Has exactly 1 solution (when our y value is 0)
X intercept

6. Solve
Ex.
3x-6=0

7. Some equations have no solution
You will get a false statement such as 0=5
x=x+1 has no solution

8. Ex. 2 6(x-1)+4=3(7x+1) How can you check your answer?
Substitute back in

9. Ex.
3(x+3)=5(1-x)-1
b) (x+1)2+2(x-2)=(x+1)(x-2)

10. Try
3(x+2)-5=3x+1

11. Involving fractions
Find the LCD and multiply every term in the equation by the LCD
Ex. 3

12. Ex. 4

13. Extraneous solution
One that does not satisfy the original equation (occurs when you multiply or divide an equation by a variable quanity)

14. Single fractions on each side can be done by cross multiplying

15. HW
P. 93
1-19 odd, odd, 43-91odd, 94