HSAP TEST PREP REVIEW AND

PRACTICE

Meike McDonaldCharleston County School District Math and

Teacher Cadet Teacher

Teresa McDonaldRetired Teacher

Outcomes for Session Review and Practice Essential material for

the SC HSAP Mathematics test Review calculator skills useful for passing

the SC HSAP Mathematics tests

I. General Information1. Two types of questions on the HSAP Math

63 multiple choice3 integrated response questions

You are to answer _All__ questions!

2. On the integrated response questions you must show work! If you use a calculator to do the work you must

__write down what you punch in_____.

II. Mathematics ReviewA. Problem Solving Tips

Decimal <-> Percent d2p 1. To change a percent to a decimal_Move the decimal 2 places to the left

2. To change a decimal to a percentMove the decimal 2 places to the right Practice: Change to a percent 0.25=___ 0.5=___ 1.2=___Change to a decimal 26%=___ 6%=___ 32.5%=___Answers: 25%,50%,120%

0.26,0.06,0.325

Problem Solving Tips Continued3. To do BEST BUY/UNIT PRICE/COSTS

MOST/COST LEAST problemsAMOUNT($) ÷ HOW MUCH

Practice: Flour comes in four sizes. Which is the best buy?A. 1 lb for $0.49B. 5 lbs for $1.05C. 10 lbs for $2.20D. 20 lbs for $3.80

Answer: A. $.49 per lb B. $.21 per lb C. $.22 per lb D. $19 per lb

Problem Solving Continued4. To do TIP/SALES TAX/COMMISSION/DISCOUNT/DEDUCTION problems the1st step Amount($) X PercentSometimes there is a 2nd Step on these

problems:Sales Price: Subtract Total Cost: AddPractice: A $179 chair is on sale for 30% off. What is the sales

price?Answer 179 X .30 = 53.70

179 – 53.70 = $125.30

Problem Solving Tips Continued5. To do percent problems that are not real

life problems use a proportion: % = IS

100 OFPractice: 15 is what percent of 60? What is 20% of 60?

x = 15 20 = x 100 60 100

60 x=25 x=12

6.Word Problem Tips-Operations to use

a. How much left? How much more? How much further? Subtract

b. How many you get when you split something up? Divide

c. If you know how much it takes for one of something, to see how much it takes for all? Multiply

d. To find how much carpet you find the area.

e. To find interest you use I = PXRXT $ x % x YRS

f. To find how much wall paper border or fence needed perimeter

g. To find your speed use r = D Distance t time

Practice for determining operationsA. It is 82 miles from Timmonsville to Myrtle Beach. Ms Thornton

has driven 27 miles. How much further does she have to drive?B. Ms. Williams came to school with 544 pieces of leftover

Halloween candy. She gave an equal amount to each of her 34 students. How many pieces did each student get?

C. The basketball team practices 15 hours per week. How many hours do they practice in 13 weeks?

D. Mr. McDonald’s circular game room is 12 feet across the center. How much carpet will he need for this room?

E. Ms. Kershaw deposits $500 in an account bearing 9% interest for a period of 9 months. How much interest will she earn?

F. Mr. McDonald is fencing in his back yard that is 90 feet long and 60 feet wide. How much fence will he need to buy?

G. Mr. Woods travels 960 miles in 16 hours nonstop. How fast did he drive?

Answers for determining operationsa. 82-27 = 55milesb. 544÷34 = 16c. 15 x 13 = 195 hoursd. A = πR2 = 3.14 x 62 =113.04 ft2

e. 500 x .09 x 9/12 = $33.75 f. 90 + 90 + 60 + 60 = 300 ftg. r = 960 = 60mph 16

7. Properties You Need to Know:Commutative Property means you can change the order when you

add and multiply. Example: 5 + x = x + 5Associative Property means you can change the grouping when you

add and multiply. Example: 2 + (3 + y) = (2 + 3) + yDistributive Property means you multiply by what is outside the

parentheses.Example: 3x(2x-5y) = 6x2 -15xyIdentity Property means whatever you can add or multiply by and get

the same identical thing.Example: The identity for addition is 0, a + 0 = a, the identity for

multiplication is 1, y x 1 = y.To solve equations or inequalities you use the addition property,

subtraction property, multiplication property, or division property.Example: To solve 3x + 5 = 17 Given

3x = 12 Subtraction Property

Properties PracticePractice: Name the property that justifies each

statement.A. 8x + 4 = 4(2x + 1) ________________B. X + 0 = X ________________________C. 3x + 2 = 2 + 3x___________________D. 3x(5) = (3x)5_____________________E. -3x>15 Given x<-5__________________________Answers:A. Distributive, B. Identity for Addition, C. Commutative Property for Addition, D. Associative Property, E. Division Property

8. Calculator Skills You Should KnowA. To enter fractions or mixed numbers in your

calculator you put them in parentheses.Practice : Solve the following problem.Ms. Gibson spent the following time grading papers.

1 ¾ hours on Monday, 2 ½ hours on Wednesday, 1/2 hour on Thursday and ¾ hour on Friday. What was the total time spent on grading papers?

Enter: (1 + ¾) + (2 + ½) + (½) + (¾) = 5.5 hours

Calculator Skills ContinuedTo do a problem dealing with either equations and a table or

equations and a point, you enter the equation into y=and then hit 2nd graph to see a table of points.

Practice: 1. Find the equation that matches this table:A. f(n) = 12 + x2

B. f(n)=16-2xC. f(n)=8x+7D. f(n)=7+2x2

C. f(n) = 8x + 7 matches the table. 2. If the point(7,k) is on the graph of the equation y=2x+5, then

find the value of k. k = ____(7,19) is in the table therefore k = 19

N 0 1 2 3 4 5F(N) 7 15 23 31 39 47

Calculator Skills ContinuedTo change a number to scientific notation on your

calculator – Hit MODE then arrow over to SCI and hit ENTER then go back to the home screen.

Practice Change these numbers to scientific notation:

36,400___________0.000000054________36,400 = 3.6 x 104 0.000000054= 5.4x10-8

To find the absolute value of a number or expression hit MATH then arrow over to NUM and since ABS is highlighted hit enter.

Practice. Simplify|-5| + |-6+2| 5 + 4 = 9

9. Using FormulasAlways use these 3 steps when using formulas:1-Write the formula down2-Substitute given numbers into the formula3-Use your calculator to work the formula out.Example. Find the volume of a 2m by 4.5m by 8m

rectangular prism.V = lwhV = 2 x 4.5 x 8V = 72 m3

You must know the slope formula. They do not give you this formula slope = y2-y1

x2-x1

Using Formulas ContinuedPractice. Work these problems.1. Find the area of a circular flower bed that is 12 yards

across the center.2. A 12 foot ladder is leaning against a 2 story house and

reaches the top of the first floor. The bottom of the ladder is 4 feet away from the house. How tall is the first floor?

3. Find the slope between these points on a line.A.(3,-4) & (4,5) B. (2,3) and the origin C. (-3,5) & (-3,6) D. (2,4) & (5,4)4. A =πr2 A = 3.14 x 62 = 113.04yd2

5. X2 + 42 = 122 x2 + 16 = 144 x = √128 =11.3ft6. A.5—4 B.0-3 C.6-5 D.4-4 4-3 0-2 -3--3 5-2 9 3/2 no slope 0

10. Integrated ResponseIn integrated response questions you are to show

your work. If you use your calculator then you must write down what you punch in.

Practice: Belk has coats on sale for 40% off.A. If Jessica bought a coat that regularly costs $75,

how much of a discount does she get?(1)B. If Jessica must pay 6% sales tax, then what will

be the amount of tax she has to pay?(1)C. What will be the change Jessica will get back

after paying for the coat and tax from a $100 bill?

Answer: A. 75 x .40 = $30 B. 75-30=45x0.06=$2.70 C. 45+2.70=47.70 100-

47.70 = $52.30

Integrated Response Continued

Weight in pounds

40 50 60 70 80 90

Dosage in mg

1 1.5 2 2.5 3 3.5

The table below shows the correct dosage of medicine for weight.

A.Make a scatterplot from the table. Be sure to title your graph and label the axes. (2)

B. Describe the correlation between weight and dosage. Explain your reasoning. (1)

Integrated Response Continued

Correct Dosage

5

4

Dosage in mg 3

2

1

0 20 40 60 80 100 120Weight in lbs

B. There is a positive correlation between the weight and dosage. As the weight increases the dosage increases.

Contact InformationSend us an email to receive the PowerPoint

to either:MeikeMcDonald@yahoo.com orTeresa@TeresaMcDonald.net