Winter Practice Worksheets - 2015 Page 2

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2015 Winter Practice
8. After 72 games, the Marlins have won 3 times as many games as they have lost. Write an equation to
determine how many games the Marlins have the won? Let x = number of games lost. Give the number
of games the Marlins have won and lost after 72 games.
9. An equation for determining the distance, d, a plane travels at rate, r, in a direction with an average
tailwind of 10 miles per hour is shown below. Solve the equation for r.
d = (r + 10) t
10. Solve the equation y = m(x + b) for b.
11. Xian is planning a party at the skating rink. The cost for each person attending is $3.50 for skate rental
and $5.00 for food. Xian cannot spend more than $300. Write an inequality that could be used to find
the greatest number of people, p, that can attend his party.
12. Sam has $32. He is planning to save the same amount of money every week for 8 weeks so that he can
buy a calculator that costs $120. How much does he need to save every week?
13. For the function f(x) =
, if the domain is {10, 12, -2, 0, 20, }, what is the range of the function?
and g(x) = 2x – 3. What is the value of g(4) + f(–3)?
2
14.
Suppose f(x) = x
15.
John earns $8 per hour for his after-school job. He never works more than 18 hours in a week, and he never works
a fraction of an hour. The equation that models this situation is A = 8h, where A represents the amount John earns
and h represents the number of hours John works in a week. What is the reasonable domain of the function A in
the given context?
16.
John calculated some ordered pairs for a given relation as shown in the list below.
Does the relation for which John calculated the ordered pairs in the list represent a function?
If it IS a function, add an ordered pair to make it NOT a function.
If it IS NOT a function, which ordered pair must be removed to make it a function?
17.
The function m(g) provides the number of miles a car can travel on g gallons of gas. The fuel tank holds 14
gallons which allows a maximum ride of 504 miles. What is the domain of the function? What is the range of the
function?

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