CAHSEE PREP.

Session 1Number Sense

Chapter 1

OFL Prep Sessions

Why take the CAHSEE test and prep classes?

It is required of ALL students to graduate high school.

You need to get about 70% of the questions correct to pass the test.

The prep classes will give you strategies and knowledge to help you on the test.

Test Taking Strategies

Look through the test before answering any questions.

Mark questions which look easy to go back to and work on first.

Write down all formulas and stored knowledge before answering questions.

Show all your work and circle the answers in your workbook.

Absolute Value

Everything inside the | | symbol becomes positive when the symbol is removed.

4

6 10

5

7 5 9

2

If the numbers have the same sign, add and keep the sign.

If the numbers have different signs, subtract the numbers and keep the sign of the larger number.

Adding and Subtracting Integers

4 ( 7)

( 6) ( 3)

4 ( 5)

9 2

Multiply and Divide Integers

Drama Club members are washing cars to earn money for their script fund. Each car washed adds $5 to the fund. Each script they buy subtracts $6 from the fund. How much does the fund increase if they wash 20 cars?

Multiplication and Division:

(+) x (+) = +(-) x (-) = +(+) x (-) = - or (-) x (+)

= -

6( 2)

(3)( 2)( 10)

( 48) ( 8)

Add and Subtract Fractions

Fractions must have the same denominator before adding or subtracting.Elizabeth needs ¾ of a cup of flour for a recipe. She only has ¼ of a cup. How much more flour does she need?

More Add and Subtract Fractions

1 3

12 8

13 10

20 25

1 2

4 3

Add and Subtract Mixed Numbers and Improper Fractions

First you need a common denominator.MIXED NUMBERS: Then add the

fractions, followed by the whole numbers

1Sally bought 5 pounds of apples and

83

7 pounds of bananas. How many pounds 8

of fruit did Sally buy?

Add and Subtract Mixed Numbers and Improper Fractions

3 34 2

8 4

9 5

2 3

10 7

3 5

Multiply and Divide Fractions and Mixed Numbers

Change Mixed Numbers to Fractions:

4 (3 7) 4 21 4 253

7 7 7 7

2 11 2

5 4

Multiply and Divide Fractions and Mixed Numbers

5 2

6 3

4 2

5 3

2 14 2

3 4

Decimals

Juanita bought a sweatshirt for $12.50

and a pair of jeans for $26.95. How much

did she pay for the jeans and sweatshirt together?

Decimals

Ashton bought 5 pounds of bananas

for $0.92 a pound. How much did he

have to pay for the 5 pounds of bananas?

Decimals

92.1 16.35 5.21 0.002 0.57 3

Exponents

Zero Exponents

Negative Exponents

Product Powers

Quotient Powers

naexponent

base

0 1a 4

4

1a

a

m n m na a a

mm n

n

aa

a

Exponents

3

A teaching hospital estimates that their staff

members treat 8 patients per week. How

many patients are treated per week?

Exponents

0Simplify. 2

2Simplify. 5

3Simplify. (-2)

5 3Multiply. 3 3

10 4Divide 7 73 5Divide. 4 4

Scientific Notation

Scientific Notation allows you to express very large or very small numbers without having to use numerous zeros.

In 2003, about 2,900,000 people attended conferences for engineers. What is this number written in scientific notation?

Scientific Notation

5What is 6.175x10 written in standard form?

3Write 2.5 x 10 in standard form?

3

3 5

Compare and order 2.5 x 10 ,

6.9 x 10 , 3.64 x 10 from least to greatest.

Convert Fractions, Decimals, and Percents

1

0.25 25%41 1

0.3 33 %3 3

10.5 50%

22 2

0.6 66 %3 3

3

4

Convert Fractions, Decimals, and Percents

4

Write as a decimal and a percent.5

Write 0.23 as a fraction and as a percent.

Convert Fractions, Decimals, and Percents

Write 38% as a decimal and as a fraction.

The paint-by-number directions said to paint 60% of the circle red. What fraction of the circle should NOT be painted?

Convert Fractions, Decimals, and Percents

7Write the fraction as a decimal.

11

3Change to a percent.

20

Percentage Change

amount of changePercent of change = 100%

original number

A box of cards originally sold for $4. Now it sells for $6. What is the percent increase?

Percentage Change

Malory’s cat weighed 24 pounds before it was put on a diet. After 5 weeks it weighed 19 pounds. What is the approximate percent of decrease?

Percentages

At Joe’s Electronics Store, a CD player regularly costs $79.70. It is on sale for 30% off. What is the sale price?

Percentages

The owner of Carmen’s Bike Shop buys bicycle tires for $6.00 each and sells them to her customers with a 20% markup. What is the retail cost of the bicycle tire?

Percentages

A $125 ski jacket is on sale for $93.75. What is the percent of the discount?

Percentages

Lydia sold $369.00 in clothing. She gets a 5% commission on the clothes she sells. What is her commission on the clothing sales?

Roots

The square roots of n are all the numbers of m so that m2 = n.

Simplify. 144 Simplify. - 16

The square root of 30 is between which

two positive consecutive integers?

HOMEWORK

See Assignment Sheet – Session 1

Homework is due at the next class meeting or by the assigned date!