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Algebra Prep DAC - Spring 2012
Contributed by: Simmons
  • 1. In 2000, the amount a bike rental company charges to rent a mountain bike is represented by the function c = 8h + 3, where h represents the number of hours renting the bike and c represents the total amount charged.

    In 2010, the same rental company changes the amount charged for renting a mountain bike. This change is represented by the function c = 8h + 5 . What will be the effect of this change on the amount the company charges to rent a mountain bike?
A) The total amount the company charges to rent a mountain bike will decrease by $2.
B) The amount the company charges per hour will increase by $2.
C) The total amount the company charges to rent a mountain bike will increase by $2.
D) The amount the company charges per hour will decrease by $2.
  • 2. The graph above represents the cost for a motivational speaker. The speaker receives a fee of $2000 plus $100 per hour.

    If the y-intercept changes to 4000 and the hourly rate stays the same, how does this change effect the situation?
A) The motivational speaker’s fee increases by $2000.
B) The motivational speaker’s hourly rate increases $2000 per hour.
C) The motivational speaker’s hourly rate decreases $2000 per hour.
D) The motivational speaker’s fee decreases by $2000.
  • 3. Doug has a collection of nickels and dimes in his pocket that is worth $7.00. If he has a total of 100 coins, how many dimes does he have?
A) 60 dimes
B) 87 dimes
C) 40 dimes
D) 13 dimes
  • 4. What is the x -value of the solution to this system of equations?
A) 6
B) -2
C) -10
D) 14
  • 5. The graph of y = 2x + 2 is graphed above.

    If the y-intercept is changed to -5 and the slope stays the same, what happens to the graph?
A) The graph will be shifted 7 units down.
B) The graph will be less steep.
C) The graph will be steeper.
D) The graph will be shifted 7 units up.
  • 6. Which situation is modeled by the graph above?
A) Jennifer’s account has $50 and she saves $5 each week.
B) Jennifer saved $50 in 10 weeks.
C) Jennifer’s account has $50 and she spends $5 each week.
D) Jennifer’s account has $5 and she saves $50 each week.
  • 7. The Sugar Land Skeeters allow season ticket holders to purchase seats on a monthly payment plan. Martin purchased six seats for $90 and plans to pay $10 per month, m, on his payment plan. The amount remaining on the payment plan, p, can be represented by the linear equation:

    p = 90 -10m

    What will happen if Martin increases his payment to $15 per month?
A) It will not have an effect the number of months to repay the loan.
B) The amount of the loan will increase by $15.
C) The loan will take 3 months longer to pay off.
D) The loan will be paid off 3 months earlier.
  • 8. Betty’s weekly salary, s, and the number of hours, h, that she works in a week is represented by the equation, s = 8h + 12. Which of the following represents the same function?
A) D
B) C
C) A
D) B
  • 9. When the slope of y = 4x +2 is divided by 2, which graph represents the new equation?
A) D
B) B
C) A
D) C
  • 10. Which table represents the equation 4X - 3Y = -12?
A) C
B) A
C) B
D) D
  • 11. Carol has a $15.00 gift card from the local coffee shop. The table below shows the balance, b, remaining on her gift card after c purchases. What is the meaning of the x-intercept?
A) Carol has $15 on her gift card.
B) After two purchases Carol spent half of her money.
C) After 6 purchases, Carol’s card has no money left on her gift card.
D) Each coffee purchase is $2.50.
  • 12. The graph shows the amount of money in Ricardo’s savings account over a 16-month period.

    Which of the following describes the change in Ricardo’s savings account if the slope is tripled and the y-intercept remains the same?
A) Ricardo starts with $25 in his account at the beginning of the 16-month period.
B) Ricardo will spend $25 each month.
C) Ricardo starts with $400 in his account at the beginning of the 16-month period.
D) Ricardo will spend $75 each month.
  • 13. The equation y = -4x + 20 represents the gallons of gasoline in a car’s gas tank after x hours. Which statement describes the y-intercept of the equation?
A) The car uses 20 gallons of gas per hour.
B) The car is empty after 5 hours.
C) The car starts with 20 gallons of gas.
D) The car uses 4 gallons of gas per hour.
  • 14. The shipping cost for ordering from an on-line book store is listed above.

    Which of the following descriptions represents the meaning of slope?
A) The shipping cost to purchase 5 books is $7.95.
B) The shipping cost increases $0.99 for each additional book purchased.
C) The shipping cost is a flat fee of $3.99.
D) The shipping cost increases $3.00 for each additional book purchased.
  • 15. How does the graph of y = 3x - 4 change when the slope is doubled?
A) The line is shifted down.
B) The line is less steep.
C) The line is steeper.
D) The line is shifted up.
  • 16. Some values for two linear equations are shown in the tables above.

    What is the solution to the system of equations represented by these tables?
A) (1,-10)
B) (1, 2)
C) (3, 14)
D) (0, 2)
  • 17. The graph above represents a system of equations. What is the solution?
A) (0, -3)
B) (1, -2)
C) No solution
D) (-2, 1)
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