1. 22% of 125 1 1/5 + 6 1/4

2. Agenda - Review Basic Math concepts Math Placement Test – What to Expect Fractions Decimals and Percentages Word Problems

3. Math Placement Test A test to determine your level of math skills Untimed, multiple choice questions Take a break during the test No calculator but scratch paper/pencils provided Multiple levels, basic math to Calculus Can’t go backwards on the test – don’t skip any questions! Can test twice in a calendar year – first time free, second time $15

4. Fractions ½ Numerator Denominator

5. Fractions Addition 1/3 + 1/3 =2/3 Denominators must be the same 3/8 + 5/12 *Lowest Common Denominator

6. Lowest Common Denominator The lowest common number that the denominators can divide into. 3/8 + 5/12 The denominator of 3/8 is 8 multiples of 8 are: 8,16,24,32,40 The denominator of 5/12 is 12 multiples of 12 are: 12,24,36,48 24

7. Lowest Common Denominator 3/8 + 5/12, lowest common denominator is 24 3 8

8. Lowest Common Denominator

10. 5/12 LCD = 24

11. Lowest Common Denominator 5/12 LCD = 24

12. Lowest Common Denominator 3/8 + 5/12 3/8 = 9/24 5/12 = 10/24 9/24 + 10/24 = 19/24

13. Fractions Addition (cont.) 1/6+ 5/10 6,12,18,24,30,36 10,20,30,40,50 1/6 = ?/30 Multiply by 5 1/6= 5/30 5/10 = ?/30 Multiply by 3 5/10 = 15/30 5/30 + 15/30 = 20/30 Reduce the fraction to its lowest terms 20/30 = 10/15 = 2/3

14. Fractions – Subtracting 7/40 – 2/40 = 5/40 = 1/8 2/5 - ¼ 5,10,15,20,25 4,8,12,16,20,24 2/5 = ?/20 Multiply by 4 2/5 = 8/20 ¼ = ?/20 Multiply by 5 ¼ = 5/20 8/20 – 5/20 = 3/20

15. Fractions Addition and Subtraction Denominators must be the same. If they are not, find lowest common denominator Once denominators are the same, just add or subtract the numerators Reduce the answer to its lowest terms

16. Fractions - Multiplying 5/6 x ½ Multiply numerator times numerator, denominator times denominator = 5/12 2/3 x ½ = 2/6 = 1/3 8/12 x 3/4 = 24/48 = 1/2

17. Fractions - Dividing 11 / 5 ÷ 20 / 3 “Flip” the second fraction and then multiply 11 / 5 x 3 / 20 = 33 / 100

18. Fractions - Dividing 3/4 ÷ 9/10 “Flip” 3/4 x 10/9 Multiply = 30/36 5/6

19. Fractions Multiplying and Dividing Do not need lowest common denominator For Multiplying: N x N Multiply NxN and DxD D D For Dividing: N ÷ N N x D D D D N Reduce the answer to its lowest terms “Flip” the 2 nd fraction and then Multiply

20. Mixed Numbers Change the mixed number to a fraction, then follow the normal rules for fractions Addition 2 ½ + 1 3/5 1. multiply the whole number by the denominator 2. add the numerator to it 3. put the total over the denominator 5/2 + 8/5 LCD 5/2 = ?/10 5/2 = 25/10 8/5 = ?/10 8/5 = 16/10 25/10 + 16/10 = 41/10 1. Divide the numerator by the denominator 2. Take any remainder and put it over the denominator = 4 1/10

21. Decimals and Percentages What is 22% of 50? What is.75 of 120? 76 is what % of 320?.025 is equal to what per cent?

22. Converting Decimals/Percentages Decimals to Percentages: Move the decimal point two positions to the right:.22 = 22%.345 = 34.5%.00156 =.156 %.2 = 20%

23. Converting Decimals/Percentages Converting Percentages to Decimals Move the decimal point two positions to the left: 45% =.45 67.8 % =.678 123% = 1.23.37% =.0037

24. Word Problems

25. Two Basic Formats: What is 22% of 60? 5 is what percent of 25?

26. Word Problems What is 22% of 60? Convert the % to decimal (move decimal point two positions to the left) 22% =.22 Multiply.22 x 60 = 13.2 Suzy has $80 to spend but she needs to save 20% of that for other expenses. How much should she save? I have a coupon from Kohls to save 15%. If the original purchase price of the item is $20, how much will I save?

27. Word Problems 5 is what percent of 25? Express as a fraction 5/25 Reduce to 1/5 Divide 1 divided by 5 =.2 Change decimal to percent (move decimal point two places to the right).2 = 20 % A man has 200 apples. Ten of the apples are bad. What percentage is that? Bill saved $27 when he bought a new coat on sale. The original price was $90. What percent discount did he get?

28. Word Problems What is x% of 60? Convert the % to decimal (move decimal point two positions to the left) and then multiply x is what percent of 25? Express as a fraction, (x/25), reduce the fraction if needed Divide the top number by the bottom number Change decimal to percent (move decimal point two places to the right)

29. Word Problems Read the entire problem Don’t panic ! Break the elements down Lily saved $1620. Polly saved $1923 more than Lily. How much did they save altogether? Polly saved: 1620 + 1923 = $3543 Together they saved $1620 + $3543 = $5163

30. Word Problems Marcus had 700 marbles. He gave away 175 marbles and put the remaining marbles equally into 5 bags. How many marbles were there in each bag? 700 – 175 = 525 525 ÷ 5 = 105

31. Word Problems Joe had two rare antiques that he sold. One item sold for $330 and one item sold for $550. If he gave 1/5 of the total to charity and ½ of the total went to pay bills, how much did Joe have left over? Total is $330 + $550 = $88 0 1/5 of 880 is $176. ½ of 880 is $440 176 + 440 = $616 880-616 = $264

32. Units (Millions) Sales Year The sales of products from ABC Manufacturing is shown in the above chart. How many more units did they sell in 2011 compared to 2008? a.300 b.3000 c.30,000 d.300 million

33. Tips for the Test:  Take your time  Read the entire problem more than once  Double check your work  Eliminate answers that don’t make sense  Practice !

35. X 2 + Y 2 = 437 (a + b) = 2x + 7y 10x + 5x 3x -7y 2ab-3(a+4) = -5 Academic Resource Center (ARC) Bldg. 7, Library

36. Great Resources !! Math Tutors (Library, Bldg. 7) Math Lab (Bldg 1, Rm 315)