Ms. Christian’s Top Ten things to Ms. Christian’s Top Ten things to remember for the semester 1 finalremember for the semester 1 final

(all of the little things that are easy (all of the little things that are easy to forget)to forget)

Distribute the negatives!Distribute the negatives!

8x + 16 – 2x = 4 – (2x + 6)

8x + 16 – 2x = 4 – 2x – 6

6x + 16 = -2x – 2

+2 +2

6x + 18 = -2x

-6x - 6x

18 = -8x

-8 -8

X = -2 1/4

1. Distribute -1 to 2x and 6

2. Combine like terms

3. Solve for x

4. Check answer!

Write out steps!Write out steps!Write out the steps for ANY problem…you have got 2 hours to take the

test, use it to be thorough!

Example of a literal equation Solve for s

4st + s = 8t + 5s- 5s - 5s4st + s – 5s = 8t

4st – 4s = 8ts(4t – 4) = 8t

(4t – 4) = (4t – 4)

S = 8t (4t – 4)

***Use distributive property to pull out whatever you need to solve for!!

X & Y InterceptsX & Y Intercepts

2(0) + 4y = 120 + 4y = 12

4y = 124 4

Y = 3(0,3)

Find the x & y interceptsPlug in 0 for x and solve for y

~then~Plug in 0 for y and solve for x

2x + 4y = 12

2x + 4(0) = 122x + 0 = 12

2x = 122 2

x = 6(6,0)

TWO POINTS ON

GRAPH!!

Y intercept on Y axis

X Intercept on X axis

Writing Horizontal EquationsWriting Horizontal Equations

Horizontal Equations ALWAYS

y = some number

(2,3) (3,3) (-7,3)

What does y always equal in these points?Y = 3 the answer!

Writing Vertical EquationsWriting Vertical Equations

Vertical Equations ALWAYS

x = some number

(-8,8) (-8,10) (-8,3)

What does x always equal in these points?x = -8 the answer!

Horizontal/Vertical lines through a Horizontal/Vertical lines through a pointpoint

We now know horizontal equations are always y = some #

And vertical equations are always x = some #

So if they give you a point and ask you to write an equation…ask what is x and what is y

(2, -3) x = 2 (vertical equation)

y = -3 (horizontal equation)

Slope!Slope!

Given 2 points, use slope formula!!!

M = y2 – y1 x2 – x1

And…don’t forget that if you have a negative y1 or x1 to subtract a negative!

11- (-3) 5 – (-2) = +14 / +7 = 2

LABEL POINTS FIRST!!

(-2, -3) (5, 11)

Absolute ValueAbsolute Value

There will ALWAYS be TWO answers!!

X + 3 = 8

X + 3 = 8 x + 3 = -8

-3 -3 -3 -3

X = 5 x = -11

Graphing InequalitiesGraphing Inequalities

1. Put into y = mx + b

2. Graph like normal

3. Pick a test point to plug into equation

4. Shade TRUE side!!Dotted line for < and >

Solid line for

< >

Inequalities…Inequalities…

-2x > 10

-2 -2

X < -5

If you multiplied or divided by a negative number….

FLIP SIGN!!!

X < -3

-5

X > 15

(-5)(-5)

Last but not least….Last but not least….

Actually studyGo to bed early

eat a HEALTHY breakfast

Bring a book to read when you are done…talking equals FAILING and ISI and Ms. Christian’s complete disappointment in

your bad decision making.