Keystone Review

Which list shows the values in order from least to greatest?

• A

• B

• C

• D

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

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

Simplify.

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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

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.

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

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.

An inequality is shown below.

5x - 6 < 4 + 6x

Which is a graph of the solution set of the inequality?

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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.