- 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 increase 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 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 hourly rate decreases $2000 per hour.
B) The motivational speaker’s fee decreases by $2000.
C) The motivational speaker’s fee increases by $2000.
D) The motivational speaker’s hourly rate increases $2000 per hour.
- 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) 87 dimes
B) 40 dimes
C) 13 dimes
D) 60 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 shifted 7 units down.
C) The graph will be less steep.
D) The graph will be shifted 7 units up.
- 6. Which situation is modeled by the graph above?
A) Jennifer saved $50 in 10 weeks.
B) Jennifer’s account has $5 and she saves $50 each week.
C) Jennifer’s account has $50 and she spends $5 each week.
D) Jennifer’s account has $50 and she saves $5 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) The loan will be paid off 3 months earlier.
B) The amount of the loan will increase by $15.
C) It will not have an effect the number of months to repay the loan.
D) The loan will take 3 months longer to pay off.
- 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) A
C) C
D) B
- 9. When the slope of y = 4x +2 is divided by 2, which graph represents the new equation?
A) C
B) D
C) A
D) B
- 10. Which table represents the equation 4X - 3Y = -12?
A) A
B) D
C) C
D) B
- 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) Each coffee purchase is $2.50.
B) After 6 purchases, Carol’s card has no money left on her gift card.
C) Carol has $15 on her gift card.
D) After two purchases Carol spent half of her money.
- 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 is empty after 5 hours.
B) The car starts with 20 gallons of gas.
C) The car uses 4 gallons of gas per hour.
D) The car uses 20 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 increases $3.00 for each additional book purchased.
B) The shipping cost to purchase 5 books is $7.95.
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 up.
B) The line is less steep.
C) The line is shifted down.
D) The line is steeper.
- 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, 2)
B) (3, 14)
C) (0, 2)
D) (1,-10)
- 17. The graph above represents a system of equations. What is the solution?
A) (1, -2)
B) No solution
C) (-2, 1)
D) (0, -3)
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