1. (Test $1 / \mathrm{Q} 11 /$ No Calculator)
$$ \begin{aligned} &b=2.35+0.25 x \\ &c=1.75+0.40 x \end{aligned} $$
| In the equations above, $b$ and $c$ represent the price per pound, in dollars, of beef and chicken, respectively, $x$ weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken?
A) $\$ 2.60$ B) $\$ 2.85$ C) $\$ 2.95$ D) $\$ 3.35$ |
2. (Test $1 / \mathrm{Q} 4 /$ Calculator)
| If $16+4 x$ is 10 more than 14 , what is the value of $8 x$ ?
A) 2 B) 6 C) 16 D) 80 |
3. (Test $1 / \mathrm{Q} 32 /$ Calculator)
| The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying $x$ identical boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value for $x$ that will keep the combined weight of the truck, driver, and boxes below the bridge's posted weight limit? |
4. (Test 2/Q 3/No Calculator)
| A landscaping company estimates the price of a job, in dollars, using the expression $60+12 n h$, where $n$ is the number of landscapers who will be working and $h$ is the total number of hours the job will take using $n$ landscapers. Which of the following is the best interpretation of the number 12 in the expression?
A) The company charges $\$ 12$ per hour for each landscaper. B) A minimum of 12 landscapers will work on each job. C) The price of every job increases by $\$ 12$ every hour. D) Each landscaper works 12 hours a day. |
5. (Test $2 / \mathrm{Q} 1 /$ Calculator)
| A musician has a new song available for downloading or streaming. The musician earns $\$ 0.09$ each time the song is downloaded and $\$ 0.002$ each time the song is streamed. Which of the following expressions represents the amount, in dollars, that the musician earns if the song is downloaded $d$ times and streamed $s$ times?
A) $0.002 d+0.09 s$ B) $0.002 d-0.09 s$ C) $0.09 d+0.002 s$ D) $0.09 d-0.002 s$ |
6. (Test $2 / \mathrm{Q} 6 /$ Calculator)
| When 4 times the number $x$ is added to 12 , the result is 8 . What number results when 2 times $x$ is added to 7 ?
A) $-1$ B) 5 C) 8 D) 9 |
7. (Test $2 / Q 8 /$ Calculator)
| In a video game, each player starts the game with $k$ points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of $k$ ?
A) 0 B) 150 C) 250 D) 400 |
8. (Test 2/Q 32/Calculator)
| If $h$ hours and 30 minutes is equal to 450 minutes, what is the value of $h$ ? |
9. (Test $3 / Q 1 /$ No Calculator)
| A painter will paint $n$ walls with the same size and shape in a building using a specific brand of paint. The painter's fee can be calculated by the expression $n K \ell h$, where $n$ is the number of walls, $K$ is a constant with units of dollars per square foot, $\ell$ is the length of each wall in feet, and $h$ is the height of each wall in feet. If the customer asks the painter to use a more expensive brand of paint, which of the factors in the expression would change?
A) $h$ B) $\ell$ C) $K$ D) $n$ |
10. (Test $3 / \mathrm{Q} 4 /$ No Calculator)
| The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900 . If 30 states joined the United States between 1776 and 1849 and $x$ states joined between 1850 and 1900 , which of the following equations is true?
A) $30 x=2$ B) $2 x=30$ C) $\frac{x}{2}=30$ D) $x+30=2$ |
11. (Test $3 / Q 15 /$ No Calculator)
$$ C=\frac{5}{9}(F-32) $$
| The equation above shows how a temperature $F$, measured in degrees Fahrenheit, relates to a temperature $C$, measured in degrees Celsius. Based on the equation, which of the following must be true?
I. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of $\frac{5}{9}$ degree Celsius. II. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of $1.8$ degrees Fahrenheit. III. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I only B) II only C) III only D) I and II only |
12. (Test $3 / Q 8 /$ Calculator)
| The average number of students per classroom at Central High School from 2000 to 2010 can be modeled by the equation $y=0.56 x+27.2$, where $x$ represents the number of years since 2000 , and $y$ represents the average number of students per classroom. Which of the following best describes the meaning of the number $0.56$ in the equation?
A) The total number of students at the school in 2000 B) The average number of students per classroom in 2000 C) The estimated increase in the average number of students per classroom each year D) The estimated difference between the average number of students per classroom in 2010 and in 2000 |
13. (Test $3 / \mathrm{Q} 14 /$ Calculator)
| The cost of using a telephone in a hotel meeting room is $\$ 0.20$ per minute. Which of the following equations represents the total cost $c$, in dollars, for $h$ hours of phone use?
A) $c=0.20(60 h)$ B) $c=0.20 h+60$ C) $c=\frac{60 h}{0.20}$ D) $c=\frac{0.20 h}{60}$ |
14. (Test $3 / \mathrm{Q} 22 /$ Calculator)
| The sum of three numbers is 855 . One of the numbers, $x$, is $50 \%$ more than the sum of the other two numbers. What is the value of $x$ ?
A) 570 B) 513 C) 214 D) 155 |
15. (Test $3 / \mathrm{Q} 31 /$ Calculator)
| Tickets for a school talent show cost $\$ 2$ for students and $\$ 3$ for adults. If Chris spends at least $\$ 11$ but no more than $\$ 14$ on $x$ student tickets and 1 adult ticket, what is one possible value of $x$ ? |
16. (Test $3 / Q 37 /$ Calculator)
| If shoppers enter a store at an average rate of $r$ shoppers per minute and each stays in the store for an average time of $T$ minutes, the average number of shoppers in the store, $N$, at any one time is given by the formula $N=r T$. This relationship is known as Little's law. The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time. Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store? |
17. (Test $3 / \mathrm{Q} 38 /$ Calculator)
| If shoppers enter a store at an average rate of $r$ shoppers per minute and each stays in the store for an average time of $T$ minutes, the average number of shoppers in the store, $N$, at any one time is given by the formula $N=r T$. This relationship is known as Little's law. The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time. The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time? (Note: Ignore the percent symbol when entering your answer. For example, if the answer is $42.1 \%$, enter 42.1) |
18. (Test $4 / Q 12 /$ No Calculator)
| Ken and Paul each ordered a sandwich at a restaurant. The price of Ken's sandwich was $x$ dollars, and the price of Paul's sandwich was $\$ 1$ more than the price of Ken's sandwich. If Ken and Paul split the cost of the sandwiches evenly and each paid a $20 \%$ tip, which of the following expressions represents the amount, in dollars, each of them paid? (Assume there is no sales tax.)
A) $0.2 x+0.2$ B) $0.5 x+0.1$ C) $1.2 x+0.6$ D) $2.4 x+1.2$ |
19. (Test $4 / Q 1 /$ Calculator)
| The monthly membership fee for an online television and movie service is $\$ 9.80$. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of $\$ 1.50$ to rent each movie online. For one month, Jill's membership and movie rental fees were $\$ 12.80$. How many movies did Jill rent online that month?
A) 1 B) 2 C) 3 D) 4 |
20. (Test 4/Q 6/Calculator)
| Last week Raul worked 11 more hours than Angelica. If they worked a combined total of 59 hours, how many hours did Angelica work last week?
A) 24 B) 35 C) 40 D) 48 |
21. (Test $6 / \mathrm{Q} 4 /$ Calculator)
| A website-hosting service charges businesses a onetime setup fee of $\$ 350$ plus $d$ dollars for each month. If a business owner paid $\$ 1,010$ for the first 12 months, including the setup fee, what is the value of $d$ ?
A) 25 B) 35 C) 45 D) 55 |
22. (Test $6 / \mathrm{Q} 10 /$ Calculator)
| Between 1497 and 1500 , Amerigo Vespucci embarked on two voyages to the New World. According to Vespucci's letters, the first voyage lasted 43 days longer than the second voyage, and the two voyages combined lasted a total of 1,003 days. How many days did the second voyage last?
A) 460 B) 480 C) 520 D) 540 |
23. (Test 6/Q 31/Calculator)
| A group of friends decided to divide the $\$ 800$ cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the $\$ 800$ cost equally, but each friend's share of the cost increased by $\$ 20$. How many friends were in the group originally? |
24. (Test $6 / \mathrm{Q} 37 /$ Calculator)
| Jeremy deposited $x$ dollars in his investment account on January 1,2001 . The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1,2005 . What is the value of $x$ ? |
25. (Test $7 / Q 8 /$ No Calculator)
| Ken is working this summer as part of a crew on a farm. He earned $\$ 8$ per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $\$ 10$ per hour for the rest of the week. Ken saves $90 \%$ of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $\$ 270$ for the week?
A) 38 B) 33 C) 22 D) 16 |
26. (Test $7 / \mathrm{Q} 10 /$ Calculator)
| Lani spent $15 \%$ of her 8 -hour workday in meetings. How many minutes of her workday did she spend in meetings?
A) $1.2$ B) 15 C) 48 D) 72 |
27. (Test $7 / \mathrm{Q} 11 /$ Calculator)
| A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, $s$, and collector's edition games, $c$, that were ordered?
A) $$ \begin{aligned} 75-s &=c \\ 20 s+30 c &=1,870 \end{aligned} $$ B) $$ \begin{aligned} 75-s &=c \\ 30 s+20 c &=1,870 \end{aligned} $$ C) $$ \begin{aligned} s-c &=75 \\ 25(s+c) &=1,870 \end{aligned} $$ D) $$ \begin{aligned} s-c &=75 \\ 30 s+20 c &=1,870 \end{aligned} $$ |
28. (Test $7 / \mathrm{Q} 27 /$ Calculator)
| The world's population has grown at an average rate of $1.9$ percent per year since 1945 . There were approximately 4 billion people in the world in $1975 .$ Which of the following functions represents the world's population $P$, in billions of people, $t$ years since 1975 ? ( 1 billion $=1,000,000,000$ )
A) $P(t)=4(1.019)^{t}$ B) $P(t)=4(1.9)^{t}$ C) $P(t)=1.19 t+4$ D) $P(t)=1.019 t+4$ |
29. (Test $7 / \mathrm{Q} 33 /$ Calculator)
| The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50 , how many questions did the player answer correctly? |
30. (Test $8 / Q 10 /$ No Calculator)
| A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A) 30 B) 20 C) 19 D) 18 |
31. (Test $8 / Q 6 /$ Calculator)
| Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $\$ 75$ each, and tickets to sit on the lawn during the concert cost $\$ 40$ each. Organizers of the concert announced that 350 tickets had been sold and that $\$ 19,250$ had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, $B$, and the number of tickets for lawn seats, $L$, that were sold for the concert?
A) $(75 B)(40 L)=1,950$ $\quad B+L=350$ B) $40 B+75 L=19,250$ $\quad B+L=350$ C) $75 B+40 L=350$ $\quad B+L=19,250$ D) $75 B+40 L=19,250$ $\quad B+L=350$ 32. (Test $8 / Q 12 /$ Calculator)
33. (Test $8 / Q 20 /$ Calculator)
34. (Test $8 / Q 29 /$ Calculator)
35. (Test $1 / \mathrm{Q} 3 /$ No Calculator)
36. (Test $1 / \mathrm{Q} 4 /$ No Calculator)
Answer1 D Explanation 2 C Explanation 3 107 Explanation 4 A Explanation 5 C Explanation 6 B Explanation 7 D Explanation 8 7 Explanation 9 C Explanation 10 B Explanation 11 D Explanation 12 C Explanation 13 A Explanation 14 B Explanation 15 4,5 Explanation 16 7 Explanation 17 60 Explanation 18 C Explanation 19 B Explanation 20 A Explanation 21 D Explanation 22 B Explanation 23 10 Explanation 24 30 Explanation 25 C Explanation 26 D Explanation 27 A Explanation 28 A Explanation 29 30 Explanation 30 C Explanation 31 D Explanation 32 C Explanation 33 B Explanation 34 B Explanation 35 C Explanation 36 B Explanation |
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