Math 1 EOC Review: Day 1

1. Jada bought 8 hot dogs and 5 sodas for $25.50. Ari bought 4 hot dogs and 3 sodas for $13.50. Which set of equations could be used to determine the cost of a hot dog, h, and a soda, s.

• A. 8h + 5s = 25.50 and 4h + 3s = 13.50
• B. 8h + 5s = 13.50 and 4h + 2s = 25.50
• C. 8h + 5h = 25.50 and 4s + 3s = 13.50
• D. 12h + 8s = 39.00 and 13hs = 25.50

2. A phone company charges a $45 monthly fee for 500 minutes of phone use. For each minute over 500, the phone company charges an additional $0.08. Which equation can be used to determine the total amount the company charges, t, for a phone call that is m minutes long, where m is greater than 500?

• A. t = 0.08m + 45
• B. t = 45 – 0.08(m – 500)
• C. t = 0.08(m – 500) + 45
• D. t = 0.08(m + 500) + 45

3. The graph of a quadratic equation is shown in the coordinate plane. Which function matches this graph? (Calculator Inactive)

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4. The sequence below shows the total number of days Francisco had used his gym membership at the end of weeks 1, 2, 3, and 4. 4, 9, 14, 19, ... Assuming the pattern continued, which function could be used to find the total number of days Francisco had used his gym membership at the end of week n?

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5. The boiling point of water, T (measured in degrees), at altitude a (measured in feet) is modeled by the function T(a) = -0.0018a + 212. In terms of altitude and temperature, which statement describes the meaning of the slope?

• A The boiling point increases by 18 degrees as the altitude increases by 1,000 feet.
• B The boiling point increases by 1.8 degrees as the altitude increases by 1,000 feet.
• C The boiling point decreases by 18 degrees as the altitude increases by 1,000 feet.
• D The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet.

6. The table below shows the cost of a pizza based on the number of toppings. Which function represents the cost of a pizza with n toppings?

• A C(n) = 12 + 1.5(n – 1)
• B C(n) = 1.5n + 12
• C C(n) = 12 + n
• D C(n) = 12n

7. The function f(x) = –0.25x + 5 models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept of the function?

• The height after the candle has been burning
• The amount the candle's height decreases per second
• The amount the candle's height increases per second
• The height of the candle before it was lit

8. Which choice could be modeled by a linear function?

• A. the amount of money, y, in an account after x years earning 4% interest compounded annually
• B. the monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute
• C. the height, y, of a ball after bouncing x times, if each bounce reaches 23 the previous height
• D. the amount, y, of radioactive material remaining after x years when decay occurs at a rate of 30% each year

9. The graph below shows the relationship between the height of a ball (in meters), y, thrown into the air and the time (in seconds), x. Which statement best describes the height of the ball?

• The maximum height is 2 meters.
• The maximum height is 4 meters.
• The height is increasing for 2 seconds.
• The height is increasing for 4 seconds.

10. Which expression is equivalent to x^2 + 5x – 24?

• A. (x + 8)(x + 3)
• B. (x – 8)(x + 3)
• C. (x – 8)(x – 3)
• D. (x + 8)(x – 3)