3.+ACT+Pre-Algebra

=Pre-Algebra Basics: (~23% of ACT Math) =
 * Fourteen problems cover math you learned before your first Algebra class, such as percent, absolute value, powers, square roots, simple probability, simple statistics (mean, median, mode), and interpreting charts, tables & graphs.

Practice problems at the bottom of this page. || 2. Multiples, Factors, & Primes 3. Divisibility and Remainders 4. Percentages 5. Ratios and Proportions ||  || 6. Mean, Median, & Mode 7. Probability 8. Absolute Value 9. Exponents and Roots 10. Series ||
 * 1. Number Problems
 * ===Word Problem Solving Resources: @https://prezi.com/secure/e7e4586585b6d22d46a207be6eb9987c03dcb853/===

Complete interactive tutorials for PreAlgebra here:
· **[] ** · **[] ** Notes and Diagrams: @http://www.sparknotes.com/testprep/books/act/chapter10section2.rhtml Quick Practice Problems: @http://www.act-math-practice.com/act-math-problems.htm || =ACT Pre-Algebra Practice Problems PowerPoint (UPDATED) and Pre-Algebra Problem Sets= ||
 * [[file:ACT+Math+Problems+REV.pptx]] || Easy, Medium, Hard Levels of Difficulty
 * [[file:Pre-algebra problems REV.pdf]] ||

= //Do you remember:// = =GCF? (Greatest Common Factor) LCM? (Lowest Common Multiple) = =media type="custom" key="8007472" =

GCF (same as HCF) and LCM Practice:
@http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_2i4.htm

=Fractions? Decimals? Percent? = <span style="font-family: Arial,Helvetica,sans-serif;">Quick review – ordering fractions: @http://www.teacherled.com/resources/slidepuzzle/fslideload.html <span style="font-family: Arial,Helvetica,sans-serif;">Multiplying and Dividing Fractions: @http://www.kidsolr.com/math/fractions.html (Click on MULTIPLY/DIVIDE FRACTIONS & MIXED NUMBERS) <span style="font-family: Arial,Helvetica,sans-serif;">Decimals into Fractions: @http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i17/bk7_17i1.htm <span style="font-family: Arial,Helvetica,sans-serif;">Fractions into Decimals: @http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i17/b <span style="font-family: Arial,Helvetica,sans-serif;">Quick Practice Problems: @http://www.act-math-practice.com/act-math-problems.htm <span style="font-family: Arial,Helvetica,sans-serif;">Quick review – ordering fractions: http://www.teacherled.com/resources/slidepuzzle/fslideload k7_17i2.htm <span style="font-family: Arial,Helvetica,sans-serif;">Percentages: @http://www.cimt.plymouth.ac.uk/projects/mepres/book7/bk7i17/bk7_17i3.htm <span style="font-family: Arial,Helvetica,sans-serif;">Games: @http://jmathpage.com/JIMSFractionspage.html (bottom of page) =<span style="font-family: Arial,Helvetica,sans-serif;">Probability? = <span style="font-family: Arial,Helvetica,sans-serif;">[] =MEMORIZE THIS:= <span style="font-family: Arial,Helvetica,sans-serif;">(W)hole <span style="font-family: Arial,Helvetica,sans-serif;">(E)ven <span style="font-family: Arial,Helvetica,sans-serif;">(I)nteger <span style="font-family: Arial,Helvetica,sans-serif;">(R)Rational/Real <span style="font-family: Arial,Helvetica,sans-serif;">(DO) Cannot Divide by O! <span style="font-family: Arial,Helvetica,sans-serif;">BUT Zero is NOT Positive and NOT Negative! <span style="font-family: Arial,Helvetica,sans-serif;">00000000000000000000000000000000000000000000000000 || **<span style="font-family: Arial,Helvetica,sans-serif;">POSITIVE INTEGERS start from 1 ** <span style="font-family: Arial,Helvetica,sans-serif;">Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20...
 * From [] ||
 * 0000000000000000000000000000000000000000000000000
 * <span style="font-family: Arial,Helvetica,sans-serif;">ZERO IS A 'WEIRDO'! **

<span style="font-family: Arial,Helvetica,sans-serif;">**CONSECUTIVE NUMBERS:** following one another in uninterrupted succession or order: <span style="font-family: Arial,Helvetica,sans-serif;"> // six consecutive numbers ////, such as 5, 6, 7, 8, 9, 10 or // <span style="font-family: Arial,Helvetica,sans-serif;"> // three ODD CONSECUTIVE numbers such as 3, 5, 7. //

<span style="font-family: Arial,Helvetica,sans-serif;">Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37...
 * <span style="font-family: Arial,Helvetica,sans-serif;">PRIMES start from 2 (not 1) **

<span style="font-family: Arial,Helvetica,sans-serif;">I__**N**__T__**EG**__ERS can be __**NEG**__ative (and zero!) as well as positive <span style="font-family: Arial,Helvetica,sans-serif;">...-10, -9, -8, -7, -6, -5, -4, -3. -2, -1, 0 1, 2, 3, 4, 5, 6, 7, 8, 9, 10... || =﻿Practice Problems= || Pre-Algebra for Time Practice ||  ||
 * Numbers, Fraction & Percent
 * #1 Number Problems



|| #3 Divisibility and Remainders || || #5 Ratios and Proportions || #6 Mean, Median, & Mode || || #8 Absolute Value || #9 Exponents || <span style="font-family: Arial,Helvetica,sans-serif;">Example: Consider the sequence of positive integers which leave a remainder of 3 when divided by 4. What is the 100th term? <span style="font-family: Arial,Helvetica,sans-serif;">Step 1: List the first few terms 3,7,11,15,... to see the pattern and recognize it is an arithmetic sequence. <span style="font-family: Arial,Helvetica,sans-serif;">Step 2: Identify the values which are given <span style="font-family: Arial,Helvetica,sans-serif;">First term or a(1) = 3 <span style="font-family: Arial,Helvetica,sans-serif;">Common difference or d = 4 <span style="font-family: Arial,Helvetica,sans-serif;">Number of terms or position of desired term or n = 100 <span style="font-family: Arial,Helvetica,sans-serif;">Step 3: Substitute into formula and solve <span style="font-family: Arial,Helvetica,sans-serif;">a(100) = a(1) + (100-1)(4) = 3 + (99)(4) = 399 <span style="font-family: Arial,Helvetica,sans-serif;">Of course there are other ways to find the 100th term such as 100 x 4 - 1 but the formula is so useful for so many types of questions it is worth learning! ([]) ||
 * <span style="font-family: Arial,Helvetica,sans-serif; line-height: 0px; overflow: hidden;">﻿[[file:Handout - Order of Operation.docx]] ** || #2 Multiples, Factors, & Primes
 * #4 Percentages
 * #7 Probability
 * #10 Series ||  ||   ||
 * |||| **<span style="font-family: Arial,Helvetica,sans-serif;">MEMORIZE the formula for the nth term of an arithmetic sequence: a(n) = a(1) + (n-1)d. **