HSAP Test Prep Review and Practice

Name ______Date ______

I. General Information

  1. You will have 2 types of questions: 62 multiple choice and 3 integrated response questions

You are to answer ______questions.

  1. On the integrated response questions you must show work! If you use your calculator to do the work you must______.

II. Math Review, Problem Solving TipsDecimal > Percent d2p

  1. To change a percent to a decimal______
  2. To change a decimal to a percent______

5. Practice: Change to a percent: 0.25 = ______0.5 = ______1.2 = ______

6. Change to a decimal 26% = ______6% - ______32.5% = ______

7. To do Best Buy/Unit Price/Costs Most/Costs Least ______

8. Practice: Flour comes in four sizes. Which is the best buy?

  1. 1 lb for $.49
  2. 5 lb for $1.05
  3. 10 lb for $2.20
  4. 20 lb FOR $3.80

9.To do Tip/Sales Tax/Commission/Discount/Deduction 1st step______

Sometimes there is a 2nd Step on these problems: Sales Price ______Total Cost______

10. Practice: A $179 chair is on sale for 30% off. What is the sale price?

  1. $53.70
  2. $125.30
  3. $232.70

Percent problems that are not real life problems use: % = IS

100 OF

11. Practice: 15 is what percent of 60?

  1. What is 20% of 60?

Word Problem Tips: Operations to Use

13. How much left? How much More? How Much Further?______

14.How many you get when you split something up?______

15.If you know how much it takes for one of something, to see how much it takes for

all? ______

16. To find how much carpet you find the ______

17. To find interest you use I = PxRxT ______

18. To find how much wall paper border or fence you find ______

19. To find your speed use r = D

t

Practice:

20. It is 82 miles from Timmonsville to Myrtle Beach. Ms. Thornton has driven 27 miles. How much further does she have to drive?

21. 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?

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

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

24. Ms. Kershaw deposits $500 in an account earning 9% interest for a period of 9 months. How

much interest will she earn?

25. 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?

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

27. Properties you need to know:

Commutative Property means you can change the ______when you add and multiply.

Example: 5 + x = x + 5

Associative Property means you can change the ______when you add and multiply.

Example: 2 + (3 + y) = (2 + 3) + y

Distributive Property means you ______by what is outside of 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

Practice: Name the property that justifies each statement using the properties above:

  1. 8x + 4 = 4(2x + 1) ______
  1. x + 0 = x ______
  1. 3x + 2 = 2 + 3x______
  1. 3x(5) = (3x)5______
  1. –3x > 15 Given

x < -5 ______

Calculator Skills you should know:

To enter fractions or mixed numbers in your calculator you put them in parentheses.

33. Practice: Solve the following problem.

Ms. Gibson spent the following time grading papers. 1 ¾ hours on Mon., 2 ½ hours on Wed., ½ hours on Thursday and ¾ hour on Friday. What was her total time?

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.

34. Practice: 1. Find the equation that matches this table:

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

A. f(n)=12+x2 B. f(n)=16-2x C. f(n)=8x+7 D. f(n)=7+2x2

35. If the point (7,K) is on the graph of the equation y = 2x + 5.

Find the value of k = ______

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 regular screen.

Practice. Change these numbers to scientific notation:

36. 36,400 ______37. .000000054______

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

38. Practice. Simplify

-5 + -6+ 2

Using formulas

39. Find the volume of a 2m by 4.5m by 8m rectangular prism. ______

Always use these 3 steps:

1 –Write the formula downV = lwh

2 – Substitute given numbers into the formulaV = 2 x 4.5 x 8

3 – Use your calculator to work the formula out.V = 72 m3

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

x2 – x1

Practice. Work these problems and show all work!

40. Find the area of a circular flower bed that is 12 yards across the center.

41. 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?

Find the slope between these points on a line.

42. (3,-4) and (4,5) 43. (2,3) and the origin44. (-3,5) and (-3,6)45. (2,4) and (5,4)

m = m = m = m =

Integrated Response

In integrated response questions you are to show your work. If you use your calculator then you must write down what you type in.

  1. Belk has coats on sale for 40% off.If Jessica bought a coat that regularly costs $75, how much of a discount does she get? (1)______

WORK:

  1. If Jessica must pay 6% sales tax, then what will be the amount of tax she has to pay?(1)______

WORK:

  1. What will be the change Jessica will get back after paying for the coat and tax from $100 bill? (1)______

WORK:

Practice: This table shows the correct dosage of medicine for weight.

Weight in lbs / 40 / 50 / 60 / 70 / 80 / 90
Dosage in mg / 1 / 1.5 / 2 / 2.5 / 3 / 3.5
  1. Make a scatterplot from this table. Be sure to title your graph and label the axes.(2)

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

______

Created by Meike McDonald,