Download hsap test prep review and practice

HSAP TEST PREP
REVIEW AND PRACTICE
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 Information
1. Two types of questions on the HSAP Math
63 multiple choice
3 integrated response questions
You are to answer ______questions!
2. On the integrated response questions you
______! If you use a calculator to do the
work you must
__
_____.
I. General Information
1. Two types of questions on the HSAP Math
63 multiple choice
3 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 Review
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 percent
Move the decimal 2 places to the right
A.
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 Continued
3. To do BEST BUY/UNIT PRICE/COSTS
MOST/COST LEAST problems
AMOUNT($) ÷ HOW MUCH
Practice: Flour comes in four sizes. Which is the best buy?
A. 1 lb for $0.49
B. 5 lbs for $1.05
C. 10 lbs for $2.20
D. 20 lbs for $3.80
Answer: A. $.49 per lb B. $.21 per lb C. $.22 per lb
D. $19 per lb
Problem Solving Continued
4. To do TIP/SALES TAX/COMMISSION/
DISCOUNT/DEDUCTION problems the
1st step Amount($) X Percent
Sometimes there is a 2nd Step on these
problems:
Sales Price: Subtract Total Cost: Add
Practice: 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 Continued
5. To do percent problems that are not real
life problems use a proportion:
% = IS
100 OF
Practice: 15 is what percent of 60?
x = 15
100 60
x=25
What is 20% of 60?
20 = x
100 60
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 operations
A.
B.
C.
D.
E.
F.
G.
It is 82 miles from Timmonsville to Myrtle Beach. Ms Thornton
has driven 27 miles. How much further does she have to drive?
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?
The basketball team practices 15 hours per week. How many
hours do they practice in 13 weeks?
Mr. McDonald’s circular game room is 12 feet across the center.
How much carpet will he need for this room?
Ms. Kershaw deposits $500 in an account bearing 9% interest
for a period of 9 months. How much interest will she earn?
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?
Mr. Woods travels 960 miles in 16 hours nonstop. How fast did
he drive?
Answers for determining operations
a.
b.
c.
d.
e.
f.
g.
82-27 =
55miles
544÷34 =
16
15 x 13 =
195 hours
A = πR2 = 3.14 x 62 =113.04 ft2
500 x .09 x 9/12 =
$33.75
90 + 90 + 60 + 60 = 300 ft
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 + 5
Associative Property means you can change the grouping when you
add and multiply. Example: 2 + (3 + y) = (2 + 3) + y
Distributive Property means you multiply by what is outside the
parentheses.
Example: 3x(2x-5y) = 6x2 -15xy
Identity 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 Practice
Practice: 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 Know
A. 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 Continued
To 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)=16-2x
C. f(n)=8x+7
N
0 1 2 3 4 5
D. f(n)=7+2x2
F(N)
7 15 23 31 39 47
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
Calculator Skills Continued
To 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 Formulas
Always use these 3 steps when using formulas:
1-Write the formula down
2-Substitute given numbers into the formula
3-Use your calculator to work the formula out.
Example. Find the volume of a 2m by 4.5m by 8m
rectangular prism.
V = lwh
V = 2 x 4.5 x 8
V = 72 m3
You must know the slope formula. They do not give
you this formula slope = y2-y1
x2-x1
Using Formulas Continued
Practice. 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)
1.
2.
3.
A =πr2 A = 3.14 x 62 = 113.04yd2
X2 + 42 = 122 x2 + 16 = 144 x = √128 =11.3ft
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 Response
In 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 10047.70 = $52.30
Integrated Response Continued
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)
Weight in
pounds
Dosage in
mg
40
50
60
70
80
90
1
1.5
2
2.5
3
3.5
Integrated Response Continued
Correct Dosage
5
4
Dosage in mg
3
2
1
0
20
40
60
80
100
120
Weight in lbs
B. There is a positive correlation between the weight and dosage. As the
weight increases the dosage increases.
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