HSA Prep Algebra Assessment – Form 10

Please record your answers on the Scantron sheet provided. Do not write on this assessment.

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1. CLG 1.1.1a S2003-25

Look at the pattern below.
2x + 4, 2x + 1, 2x - 2, ...
If the pattern continues, what will be the seventh term?
A / 2x + 11
B / 2x – 11
C / 2x + 14
D / 2x - 14

2. CLG 1.1.2c 2003-26

The table below shows a linear relationship between x and y.

x / -3 / -1 / 1 / 3 / 5
y / 2 / 1 / 0 / -1 / -2

Which of these graphs shows this relationship?

A

/ C

B
/ D

3. CLG 1.1.4d 2000-25

Look at the function that is graphed below.

Which of these statements about the function is true?

AIt is continuous.BIt is not continuous at x = 1

CIt is not continuous at x = 2.DIt is not continuous at x = 3.

4. CLG 1.2.1d 2003-31

Tees for Teens is a store that sells shirts. The graph below represents the total cost per shirt based on the number of colors in the design.

Which of these equations represents the relationship between the cost per shirt (s) and the number of colors (c)?
A / s = 0.75c + 5B s = 1.5c + 5
C / s = 5c + 0.75D s = 5c + 3

5. CLG 1.1.2b S2005-24

At a movie theater, the child ticket price is x dollars and the adult price is $5.25 more. One evening 56 child tickets were sold and 81 adult tickets were sold. Which of these expressions represents the total ticket sales, in dollars?
A / 56x + 81(x + 5.25)
B / 56x + 81x +5.25
C / 56x + 81(5.25)
D / 56 + x + 81 + 5.25

6. CLG 1.2.5a S2001-8

Look at the system of equations below.
y = x – 2
y = x– 4
Which of these describes this system?
A / two parallel lines
B / two equations of the same line
C / two lines that intersect only at (1, 1)
D / two lines that intersect only at (-1, -1)

7. CLG 1.2.4 S2003-3

A family travels at a constant speed during a road trip. After 3 hours, they stop for 2 hours to eat and rest. They then continue for 4 more hours at the same speed.

Which of these graphs best represents this situation?

A
/ B

C
/ D

8. CLG3.1.3b 2005-23

Customers at Harvey's Store can win appliances at the grand opening. The table below shows the type and the number of appliances.

Toby is the first customer to win an appliance. What is the probability that Toby will win a blender or an iron?
A / 4/16
B / 5/16
C / 9/16
D / 11/16

9. CLG 3.2.3b 2003-34

Monique found that 90% of the students in her computer applications class have computers at home. She then predicted that since there are 800 students in her school, about 720 of them have computers in their homes. Which of these best describes the reason that her prediction is not valid?
A
/ use of opinion to influence a prediction
B / incorrect arithmetic computation
C / inappropriate use of mean
D / biased sampling
10. CLG 1.1.4d S2001-6
Use the Response Grid below to complete the following:
Look at the graph below.

What is the y value when x is 20? /
11. CLG 1.2.5 S200-6
The formula below can be used to find the amount of money (A) in a savings account, where P is the initial deposit, r is the interest rate, and t is the time in years.

Jonathan deposits $400 into a new savings account with an interest rate of 5%. He makes no other deposits or withdrawals. How much money, in dollars, will Jonathan have in the account after 2 year? /

12. CLG 3.1.2b BCR 2004-5

A company has 70 employees. The frequency table below shows their salaries.

Complete the following in the space below:

  • Use the frequency table to find the mean and median salaries.
  • As an employee, would you use the mean or median to ask for raises for the employees with lower salaries? Use mathematics to justify your answer.

13. CLG 1.1.1 and 1.1.2 2003-12

Park rangers determined that the current deer population in a park is 78. Ranger Jones predicted that the deer population will increase by 6 deer each year. Ranger Percy predicted that the deer population will increase by 8 deer each year.

  • Complete the tables for Ranger Jones and Ranger Percy.

PREDICTIONS FOR RANGER JONES / PREDICTIONS FOR RANGER PERCY
Year / Number of Deer / Year / Number of Deer
0 / 0
1 / 1
2 / 2
3 / 3
  • For each ranger's prediction, write an expression that can be used to determine the deer population in the park n years from now.
  • What is the difference in the number of deer that Ranger Percy predicted will be in the park 10 years from now compared to Ranger Jones' 10-year prediction? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.