Welcome to the Math Refresher

.345

1/7 + 3/5.75 of 12

22% of 125

1 1/5 + 6 1/4

Agenda - Review Basic Math concepts

Math Placement Test – What to Expect

Fractions

Decimals and Percentages

Word Problems

Math Placement TestA 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

Fractions

½Numerator

Denominator

FractionsAddition1/3 + 1/3 =2/3

Denominators must be the same

3/8 + 5/12

*Lowest Common Denominator

Lowest Common DenominatorThe lowest common number that the

denominators can divide into.3/8 + 5/12The denominator of 3/8 is 8 multiples of 8 are:8,16,24,32,40The denominator of 5/12 is 12 multiples of 12 are:12,24,36,48 24

Lowest Common Denominator3/8 + 5/12, lowest common denominator is

24

3 8

Lowest Common Denominator

Lowest Common Denominator

Lowest Common Denominator5/12 LCD = 24

Lowest Common Denominator5/12 LCD = 24

Lowest Common Denominator3/8 + 5/12

3/8 = 9/245/12 = 10/24

9/24 + 10/24 = 19/24

FractionsAddition (cont.)

1/6+ 5/10 6,12,18,24,30,3610,20,30,40,501/6 = ?/30Multiply by 51/6= 5/305/10 = ?/30Multiply by 35/10 = 15/305/30 + 15/30 = 20/30Reduce the fraction to its lowest terms

20/30 = 10/15 = 2/3

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

Fractions Addition and SubtractionDenominators 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

Fractions - Multiplying5/6 x ½Multiply 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

Fractions - Dividing11/5 ÷ 20/3 “Flip” the second fraction and then multiply

11/5 x 3/20

= 33/100

Fractions - Dividing3/4 ÷ 9/10“Flip”3/4 x 10/9Multiply= 30/36

5/6

FractionsMultiplying and DividingDo 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 2nd fraction and then Multiply

Mixed NumbersChange the mixed number to a fraction, then follow the normalrules for fractions

Addition 2 ½ + 1 3/5

1. multiply the whole number by the denominator2. add the numerator to it3. put the total over the denominator

5/2 + 8/5LCD5/2 = ?/105/2 = 25/108/5 = ?/108/5 = 16/1025/10 + 16/10

= 41/101. Divide the numerator by the denominator2. Take any remainder and put it over the denominator

= 4 1/10

Decimals and PercentagesWhat is 22% of 50?

What is .75 of 120?

76 is what % of 320?

.025 is equal to what per cent?

Converting Decimals/PercentagesDecimals to Percentages: Move the decimal point two positions to the right: .22 = 22%

.345= 34.5%

.00156= .156 %.2= 20%

Converting Decimals/PercentagesConverting Percentages to Decimals Move the decimal point two positions to the left:45%= .45

67.8 %= .678

123%= 1.23

.37%= .0037

Word Problems

Word Problems

Two Basic Formats:

What is 22% of 60?

5 is what percent of 25?

Word ProblemsWhat is 22% of 60?Convert the % to decimal (move decimal point

two positions to the left)22% = .22Multiply.22 x 60= 13.2Suzy 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?

Word Problems5 is what percent of 25?Express as a fraction 5/25Reduce to 1/5Divide1 divided by 5 = .2Change 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?

Word ProblemsWhat 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 neededDivide the top number by the bottom numberChange decimal to percent (move decimal

point two places to the right)

Word ProblemsRead the entire problemDon’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 = $3543Together they saved $1620 + $3543 = $5163

Word ProblemsMarcus 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

Word ProblemsJoe 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 = $880 1/5 of 880 is $176. ½ of 880 is $440176 + 440 = $616880-616 = $264

2008 2009 2010 20110

50100150200250300350400450

Units (M

illions)

Sales Year

The sales of products from ABC Manufacturing is shown in the abovechart. How many more units did they sell in 2011 compared to 2008?

a. 300b. 3000c. 30,000d. 300 million

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 !

X2 + Y2 = 437

(a + b) = 2x + 7y

10x + 5x3x -7y 2ab-3(a+4) = -5

Academic Resource Center (ARC) Bldg. 7, Library

Great Resources !!

Math Tutors (Library, Bldg. 7)

Math Lab (Bldg 1, Rm 315)