D.+Algebraic+Concepts

= = A lgebraic    C oncepts  __**
 * __This is what you do not want to look like for the PSSA.

Patterns
-in number patterns, numbers increase or decrease by a certain amount, decrease or increase by a multiple, you are able to use an equation to figure out the nth term of the pattern. __//What is the equation in this pattern? What are the next three numbers in this pattern? 2,5,11,23 Answers: the equation used is: n x 2 + 1 2,5,11,23,**47,95,191**//__ For more practice click the link below. [|Stop the Creature!] [|click here for more help] [|Crack Hackers Safe]

Linear Equations and Inequalities
<span style="color: rgb(128,0,128);"><span style="color: rgb(236,4,236);">-to solve an equation using operations, you have to keep each side equal by adding, subrtracting, multiplying, or dividing on each side. <span style="color: rgb(0,0,255);">__g__ [|ames for linear equations]



**<span style="color: rgb(0,128,0);">Algebraic Expressions **
<span style="color: rgb(0,0,0);"><span style="color: rgb(0,128,0);">-to solve algebraic expressions, you can use PEMDAS (**__P__**lease **__E__**xcuse **__M__**y **__D__**ear **__A__**unt **__S__**ally)
 * __P__**arantheses
 * __E__**xponents
 * __M__**ultiplication and **__D__**ivision from left to right
 * __A__**ddition and **__S__**ubtraction from left to right

3+2(3+3)/3^2 1. Paratheses 1st. =3+2*6/3^2 2. Exponets Next. =3+2*6/9 3. Multiplication and Division from left to right. =3+12/9 =3+4/3 4. Then Add and Subtract from left to right. =4 1/3 [|Late Delivery]

<span style="color: rgb(128,0,128);">symbolizing problem solutions, you need to do these steps:
<span style="color: rgb(128,0,128);"><span style="color: rgb(128,0,128);">Here is an example: During baseball season, Samuel hit 12 homeruns out of 83 times he was at bat. What is the percentage of home runs he hit?
 * <span style="color: rgb(128,0,128);">find out what you need to know
 * <span style="color: rgb(128,0,128);">translate data into an expression
 * <span style="color: rgb(128,0,128);">solve the expression
 * <span style="color: rgb(128,0,128);">check your answer

First, I know that I need to know the percentage of runs Samuel hit. Second, I translated the data into the expression: <span style="color: rgb(253,151,23); background-color: rgb(255,255,255);">

Graph Linear Equations
-Linear Equations form lines on a coordinate plane

__Slope__- rise/run **(m)** __Y-intercept__- point on a slope where the line intercepts the y-axis**(b)** __Ordered Pair__- a point on a graph. **(x,y)** __Slope-Intercept Form__- **y=mx+b** <span style="color: rgb(253,151,23);">example: y=3x+4
 * <span style="color: rgb(253,151,23);">On a coordinate plane, you would start the line at (0, **<span style="color: rgb(0,0,0);"><span style="color: rgb(253,151,23);">4) because it is the y-intercept, so graph the point on the y-axis. Then, you would go up 3 and over to the right 1. plot the second pt. and draw a line through the 2 points. Remember, you only need 2 points to make a line.



15 Practice Questions
<span style="color: rgb(255,0,0);">For Questions 1-3 identify the rule used in each number pattern. 1) 63,54,45,36,27

2) 27,32,37,42,47

3) -1,-3,-5,-7,-9 <span style="color: rgb(255,0,255);"> For Questions 4-6 identify the value of x in the inequality. 4.) 7x+9<9

5.) 8x-7>5

6.) 12x+9>23 <span style="color: rgb(0,255,0);"> For Questions 7-9 solve the equation. 7.) 4(7+4)+7^2

8) 5(6-5)-2^8

9) 2(5-9)+9^2 <span style="color: rgb(128,0,128);"> For Questions 10-12 solve the word problem. 10) During the Basketball Championship game, Harold made 7 of 10 shots he attempted. What percentage of shots were made?

11) Josh collects flowers to give to his mother because he loves her. He collects 10 one week. He collects 2 more the next week. 8 flowers died. What percentage of flowers stayed alive.

12) Ian collects Martha Stewart cookware. He owns 89 Martha Stewart brand pots. He sells all 89 of his pots for $100. What is the unit price of what he sold his pots for?

<span style="color: rgb(255,255,0);">For Questions 13-15 identify the slope and the y-intercept for each equation. 13) y=5/8x+8

14) y=2/1x+9

15)y=6/1x+1

Answers to PSSA practice question