1. Review for Test: Solving
Know your 5th grade math rules for positive & negative numbers.
a) What signs mean you add the numbers, what signs mean subtract.
What determines the sign of the answer.
b) What sign do you get when you multiply (or divide) ...
1) + times +
2) - times –
3) + times –
4) - times +
What is the rule?

2. Be able to solve equations (using my notes Steps for Solving Equations).
2 (3x + 5) = 4x
2/5x = 4/5x

3. Be able to solve inequalities (using my notes Steps for Solving Equations).
When do you reverse the less than / greater than sign?
-4x > (+11)
4 (2x - 5) < 3 (4x + 8)

4. Be able to solve Absolute Value equations.
Know that Absolute Value has 2 answers so you need 2 equations.
What is the rule for setting up the two equations?
| 2x | = 15
| -4x | = 12

5. Be able to shade the solution set of an inequality on the number line.
And know the correct way to shade it.
o s 4 -2 6 -5
x > 4
x < -2
6 > x
-5 < x
What is the rule for open circle?
What is the rule for closed dot?
What question do you ask yourself to determine if you shade or ?

6. ( ) ( ) ( )( ) ( ) ( ) x2 + 3x - 18 = 0 x2 - 7x + 12 = 0
Be able to factor x2 + bx + c = 0 quadratics.
Be able to find the values for x that make the equation true.
What is the rule for solving?
x2 + 3x - 18 = 0
x2 - 7x + 12 = 0
x2 + x - 20 = 0
( ) ( )
( )( )
( ) ( )
x = _____ , _____
x = _____ , _____
x = _____ , _____

7. -( ) ( )2 - 4( )( ) ± √ ( ) ( ) 2( ) ( ) ( ) ( ) ( ) ( ) ( )
Be able to solve quadratics by setting up and simplifying the Quadratic Formula.
Given the 2 solutions to a quadratic, be able to write
them in factored form (with integer coefficients).
6x2 + 7x - 20 = 0
2/5 and -3/4
x =
-( ) ( )2 - 4( )( ) √
( ) ( )
2( )
( ) ( )
x =
7/3 and -4/9
( ) ( )
( ) ( )

8. Be able to simplify radicals (Church of Square Root).
You must show the factoring for credit.

9. Be able to solve equations that contain x2.
How do you cancel out the exponent?
When you solve for x2, how many answers do you get?
5x2 - 8 = 12
3(x + 4) = 9

10. x2 + 6x + 8 = y x2 - 5x - 3 = y ( )2 = ( )2 = ( )2 = y ( )2 = y
Be able to Complete the Square. Show work.
(1/2 the number, square the number, move it on back)
x x = y
x x = y
( ) =
( ) =
( ) = y
( ) = y