- 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 amount the company charges per hour will increase by $2.
B) The total amount the company charges to rent a mountain bike will decrease by $2.
C) The amount the company charges per hour will decrease by $2.
D) The total amount the company charges to rent a mountain bike will increase 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 hourly rate decreases $2000 per hour.
B) The motivational speaker’s hourly rate increases $2000 per hour.
C) The motivational speaker’s fee decreases by $2000.
D) The motivational speaker’s fee increases 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) 13 dimes
B) 60 dimes
C) 40 dimes
D) 87 dimes
- 4. What is the x -value of the solution to this system of equations?
A) -10
B) 14
C) -2
D) 6
- 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 steeper.
B) The graph will be less steep.
C) The graph will be shifted 7 units down.
D) The graph will be shifted 7 units up.
- 6. Which situation is modeled by the graph above?
A) Jennifer’s account has $5 and she saves $50 each week.
B) Jennifer’s account has $50 and she saves $5 each week.
C) Jennifer’s account has $50 and she spends $5 each week.
D) Jennifer saved $50 in 10 weeks.
- 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) The loan will be paid off 3 months earlier.
B) It will not have an effect the number of months to repay the loan.
C) The loan will take 3 months longer to pay off.
D) The amount of the loan will increase by $15.
- 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) A
B) D
C) B
D) C
- 9. When the slope of y = 4x +2 is divided by 2, which graph represents the new equation?
A) C
B) D
C) B
D) A
- 10. Which table represents the equation 4X - 3Y = -12?
A) B
B) D
C) C
D) A
- 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) After 6 purchases, Carol’s card has no money left on her gift card.
B) After two purchases Carol spent half of her money.
C) Carol has $15 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 will spend $75 each month.
D) Ricardo starts with $400 in his account at the beginning of the 16-month period.
- 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 4 gallons of gas per hour.
B) The car is empty after 5 hours.
C) The car uses 20 gallons of gas per hour.
D) The car starts with 20 gallons of gas.
- 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 $3.00 for each additional book purchased.
C) The shipping cost increases $0.99 for each additional book purchased.
D) The shipping cost is a flat fee of $3.99.
- 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 shifted up.
C) The line is steeper.
D) The line is less steep.
- 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) (0, 2)
D) (3, 14)
- 17. The graph above represents a system of equations. What is the solution?
A) (1, -2)
B) (-2, 1)
C) (0, -3)
D) No solution
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