Heart of Algebra
Heart of Algebra 2
Problem Solving & Data Analysis
Test Prep Questions
No Calculator Allowed!
100

If a/b = 2, what is the value of 4b/a?

What is 2?

100

To edit a manuscript, Miguel charges $50 for the first 2 hours and $20 per hour after the first 2 hours. Which of the following expresses the amount, C, in dollars, Miguel charges if it takes him x hours to edit a manuscript, where x > 2? A) C = 20x B) C = 20x + 10 C) C D) C = 20x + 90

B) C = 20x + 10

100

If y = kx, where k is a constant, and y = 24 when x = 6, what is the value of y when x = 5 ?

What is 20?

100

The SAT stands for... 

What is the Scholastic Aptitude Test?

100

If (x− 1)/3=k and k = 3, what is the value of x ?

What is 10?

200

A line in the xy-plane passes through the origin and has a slope of 1/7. Which of the following points lies on the line? A) (0, 7) B) (1, 7) C) (7, 7) D) (14, 2)

What is D?

200

P=45,000−1,000m

People start to leave the stadium at the end of a football game. The number of people, P, that are left in the stadium m minutes after the end of the game is given by the equation above. How many people were present when the game ended but before people started to leave?

What is 45,000

200

Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of p ?

What is p/( .8 * 1.08)?

200

What does the 'P' in PSAT stand for?

What is preliminary?

200

On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

What is 5m+4p?

300

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?

What is 107?

300

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation h=60+2.5f,  where h represents height in centimeters and f represents length of the femur in centimeters. Which inequality best represents the lengths of the femur that would suggest the woman had a height greater than 160cm=?

F>30

f<30

f<40

f>40

f>40

300
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
What is 120?
300

What are the three main sections that make up the SAT?

What are math, writing and critical reading?

300

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 − 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?

What is Kathy will start each week with 108 phones to fix?

400

Wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information, what is a possible amount of time, in hours, that it could take Wyatt to husk 72 dozen ears of corn?

What is any number between 4-6 inclusive?

400

If the equation y=1/6(x+12) were graphed in the xy‑plane, which of the following statements would be true of the graphed line? 

A. perpendicular to the graph y=1/6x + 12

B. Parallel to the graph 12y = 2x +3

c. it would have the same slope as the graph of x+6y=18

B. Parallel to the graph 12y = 2x +3

400
A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday?
What is 96?
400

What does NMSQT stand for?

What is the National Merit Scholarship Qualifying Test?

400
h = 3a + 28.6 A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated increase, in inches, of a boy’s height each year?
What is 3?
500

In 2014, County X had 783 miles of paved roads. Starting in 2015, the county has been building 8 miles of new paved roads each year. At this rate, if n is the number of years after 2014, which of the following functions f gives the number of miles of paved road there will be in County X? (Assume that no paved roads go out of service.) 

A) f (n) = 8 + 783n B) f (n) = 2,014 + 783n C) f (n) = 783 + 8n D) f (n) = 2,014 + 8n This question already

C) f (n) = 783 + 8n

500

As Marta built a square fence around her garden, she wondered how much she would have to pay if she increased the length of each side of the fence by the same number of meters. Each meter of fence costs 3 dollars. Which of the following functions best describes the additional amount of money Marta will have to spend, in dollars, if she increases each side of the fence by m meters? 

A. f(m) = 1.5 m

B. f(m) = 3m

C. f(m) = 6m

D. f(m) = 12m

D

500
The graph above displays the total cost C, in dollars, of renting a boat for h hours. What does the C-intercept represent in the graph? A) The initial cost of renting the boat B) The total number of boats rented C) The total number of hours the boat is rented D) The increase in cost to rent the boat for each additional hour
What is A?
500

What is the range for your score on any one section?

What is 200 to 800 points?

500
g(x) = ax^2 + 24 For the function g defined above, a is a constant and g(4) = 8. What is the value of g(−4) ?
What is 8?