Algebra 2
2.1- 2.4 Practice Quiz 1
Name____________________
1. Determine whether the relation is a function.
7
7
5
8
4
7
O
2. Evaluate each function for the given value of x, and write the input x and output f(x) as an
5
ordered pair.
a. f ( x)  3x  4 for x  6
b. f ( x) 
2
x  7 for f (2)
5
3. Determine whether y varies with x. If so, find the constant of variation k.
a.  4 y  8x
b. 2 y  x  1
c.  4 y  8x
4. Write a function rule to model the cost of renting a truck for one day. Then evaluate the function for
the given numbers of miles. Daily rental: $9.95, rate per mile: $.90 per mile, Miles traveled: 93 mile
5. The Volume of a sphere is a function of the radius of the sphere: A 
for a basketball with radius of 22cm.
6. Find the slope of the line given (3,2) , (4,9)
4 3
 r . Evaluate the function
3
7. y varies directly with x.
a. if y=14 when x=12, find x when y=18
b. if y=17 when x=12, find x when y=13
8. On a certain calling plan, a 15 minute long-distance phone call costs $.40. The cost varies directly with
the length of the call. Write an equation that relates the cost to the length of the call. How long is a call
that costs $12.30?
9. Graph:
y
3
x
5
10. Write the equation in point-slope form given (9, -7) and (5, 3).
11. Write an equation of the line in standard form with integer coefficients. y 
5
x 3
7
12. Given m  3 and the y intercept is (0,4), write the equation in slope intercept form.
13. Given (3,2); (4,5)
Is this a function?yes or no
State the domain:
State the range:
14. Given the table, determine if y varies directly with x. If so, write the equation.
X
1
2
3
4
Y
7
14
21
28
15. Graph: y  5 x  2  3
16. Graph
 x  2 if x  4
f ( x)  
 x  3 if x  4
17. What piecewise function represents the graph?
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