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- 1. Multiple Choice
Which list shows the values in order from least to greatest?
A
B
C
D
- 2. Multiple Choice
Which values of a and b make the inequality true?
4(ab)3 > 15a3b
a = 1, b = 1
a = 1, b = 2
a = 2, b = 0
a = 2, b = 1
- 3. Multiple Choice
An equation involving polynomials is shown below.
(ax + 5y) + (x - y) - (3x - by) = 2x + y
What are the values of a and b?
a = 4, b = -3
a = 4, b = 3
a = 5, b = -5
a = 5, b = 5
- 4. Multiple Choice
Simplify.
- 5. Multiple Choice
Joan has a gym gift card worth $100. Each time she visits the gym, $12 is deducted from the amount remaining on the gift card. Which equation can be used to determine the amount of money (m), in dollars, remaining on the gift card after Joan visits the gym d times?
m = 12 - 100d
m = 12d - 100
m = -12 + 100d
m = -12d + 100
- 6. Multiple Choice
The equation below describes the relationship between the number of months (x) since a customer began renting a storage unit and the total amount of money (y), in dollars, the customer has paid to the storage facility.
y = 15x + 30
Which statement describes a solution of the equation based on the number of months the customer has rented the storage unit?
After exactly 16 months, the customer has paid $240.
After exactly 240 months, the customer has paid $16.
After exactly 16 months, the customer has paid $270.
After exactly 270 months, the customer has paid $16.
- 7. Multiple Choice
Charlene owns a bookstore. She purchases used books from customers.
- She pays $3.50 for each hardback book.
- She pays $0.75 for each paperback book.
- Charlene pays a customer a total of $199.75 for 149 used books.
Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer?
x + y = 199.75
0.75x + 3.50y = 149
x + y = 149
0.75x + 3.50y = 199.75
x + y = 199.75
3.50x + 0.75y = 149
x + y = 149
3.50x + 0.75y = 199.75
- 8. Multiple Choice
Gloria is considering two different movie services.
- Service A charges $15.00 monthly fee for unlimited streaming of movies and $2.50 per DVD rental.
- Service B charges a $12.00 monthly fee for unlimited streaming of movies and $3.50 per DVD rental.
The system of equations below describes the relationship between the number of DVDs rented per month (x) and the monthly cost (y), in dollars, for both services.
y = 15.00 + 2.50x
y = 12.00 + 3.50x
Which statement about the costs of the movie services is true?
When Gloria rents 3 DVDs per month, either service will cost her $22.50 per month.
When Gloria rents 6 DVDs per month, either service will cost her $27.00 per month.
When Gloria rents fewer than 3 DVDs per month, service A will cost less per month than service B.
When Gloria rents more than 3 DVDs per month, service B will cost $12 more per month than service A will cost.
- 9. Multiple Choice
An inequality is shown below.
5x - 6 < 4 + 6x
Which is a graph of the solution set of the inequality?
- 10. Multiple Choice
A part for a machine must meet certain length requirements, in centimeters (cm), as shown in the inequality below.
|6.75 - x| < 0.25
Which statement completely describes the length requirements for this machine part?
The length of the part must be less than 7 cm.
The length of the part must be greater than 6.5 cm.
The length of the part must be less than 6.5 cm or greater than 7cm.
The length of the part must be greater than 6.5cm and less than 7cm.
- 11. Multiple Choice
A graph of a system of inequalities is shown below.
Which system of inequalities describes the graph?
4x + 3y > 24
5x + 8y < 40
4x + 3y >= 24
5x + 8y <= 40
4x + 3y < 24
5x + 8y > 40
4x + 3y <= 24
5x + 8y >= 40
- 12. Multiple Choice
All the books in a bookstore window display today will be mysteries and biographies. The system of inequalities below describes the relationship between the number of mysteries (x) and the number of biographies (y) that could be in the display.
x + y <= 30
2x <= 3y
Which description is a possible number of books of each type that could be in the display?
6 mysteries and 22 biographies
15 mysteries and 8 biographies
21 mysteries and 14 biographies
24 mysteries and 12 biographies
- 13. Multiple Choice
Chef Bailey measured the internal temperature of a whole chicken during the first 60 minutes of cooking time. The pattern in the temperatures she measured is shown in the table.
The pattern continues. Which graph BEST represents the pattern?
- 14. Multiple Choice
Which set of ordered pairs is a function?
- 15. Multiple Choice
Laura drove her car on three trips. She began each trip with a full tank of fuel in her car. The table below shows the relation between the distance driven on each trip and the amount of fuel remaining in the car's fuel tank at the end of the trip.
What is the range of the relation in the table?
{8, 10, 15}
{60, 160, 200}
{all whole numbers from 8 to 15}
{all whole numbers from 60 to 200}
- 16. Multiple Choice
Paul inherited a stamp collection. Since receiving the collection, Paul has gone to the store and bought the same number of new stamps each week to add to his collection. The equation shown below can be used to determine the number of stamps (y) in Paul's stamp collection x weeks after he inherited the stamps.
y = 3x + 40
Based on the equation, which statement is true?
The stamp collection had 3 stamps in it when Paul inherited it.
So far, Paul has purchased 40 additional stamps for the collection.
Since inheriting the collection, Paul has bought 3 new stamps each week.
Six weeks after he inherited the collection, Paul's stamp collection contains 18 stamps.
- 17. Multiple Choice
A function of x is graphed on the coordinate plane. Which table represents the function?
- 18. Multiple Choice
A caterer uses 4 pans of lasagna to serve 30 people. At this rate, how many pans of lasagna does the caterer use to serve 390 people?
13
52
90
98
- 19. Multiple Choice
Which linear equation has (1/2, 3/4) and (4, 3) as solutions?
- 20. Multiple Choice
Martha earns money sewing curtains. She charges a flat fee to meet with a customer and take window measurements and an hourly rate to sew the curtains. The graph below shows the relationship between the time, in hours, Martha works on a sewing project and the total amount, in dollars, she charges.
What is the hourly rate that Martha charges for sewing curtains?
$10
$12.50
$15
$20
- 21. Multiple Choice
A data set contains student test scores.
- The median test score is 75 points.
- The third quartile is 85 points.
- The range of the test scores is 40 points.
Which statement about the test scores in the data set is most likely true?
The lowest test score is 45 points.
The highest test score is 95 points.
About 25% of the test scores are less than 55 points.
About 25% of the test scores are between 75 and 85 points.
- 22. Multiple Choice
There are 28 students whose last names begin with the letters G, H, J, or K. Information about the probability of randomly selecting one of these students is listed below.
- probability of selecting a student whose last name begins with G: 1/7
- probability of selecting a student whose last name begins with G or H: 5/14
How many of these students have a last name that begins with H?
4
5
6
7
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