Download Chapter 4 Test Version A

Prentice Hall – Chapter 4 – Practice Test A
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1. What are the coordinates of points A, B, C
& D?
y
D4
2
A
x
-4
-2
C
2
-2
2.
a) In which quadrant or on which axis would
you find the point (3, -2)?
b) In which quadrant or on which axis would
you find the point (-5, 1)?
c) In which quadrant or on which axis would
you find the point (7, 0)?
4B
-4
3. Evaluate f ( x)  2 x2  3 for x = {0, 1, -1}
4. A taxi company charges $3.50 for a ride,
no matter how long the ride is, and an
additional $.25 for each mile traveled. The
rule C  .25m  3.50 describes the
relationship between the number of miles m
and the total cost of the ride C.
a) What is the charge for a 1 mile ride?
b) What is the charge for a 3.8 mile ride?
c) what is the charge for a 5 mile ride?
5. Graph the function: y  x  2
2
6. Graph the function: y  x  4
7. Graph the function: y   x  1
8. Write a function rule for the table:
9. A baby crawls at a rate of 14.15 feet per
minute.
a) Write a rule to describe the function.
b) How far will the baby travel in 5 minutes?
x
f  x
3
-15
4
-20
5
-25
6
-30
10. Find the constant of variation k for the
direct variation:
12 x  9 y
Prentice Hall – Chapter 4 – Practice Test A
11. Write an equation of the direct variation
that includes the point (-3, 12)
12. The total cost of gasoling varies directly
with the number of gallons purchased. Gas
costs $3.29 per gallon. Write a direct
variation to model the total cost C for G
gallons of gas.
13. The pair of points is on the graph of an
inverse variation. Find the missing value.
14. Do the data in the table represent a direct
variation or an inverse variation? Write an
equation to model the data in the table.
x
3
5
6
9
y
9
3
27
9
 4,7 &  x, 3
5
2
15. Use inductive reasoning to describe the
pattern. Then find the next two numbers in
the pattern.
-12, -5, 2, 9, ….
16. Find the common difference of the
arithmetic sequence:
32, 27, 22, 17……
17. Fnd the first, fourth and tenth terms of the
arithmetic sequence described by the given
rule.
18. Find the domain:
19. Graph the points on the coordinat plane:
A(5, –3), B(–2, –1), C(5, 2)
20. Find the range of f  x   2 x  5 for the
P(n)  3   n  1 4 
h  x 
1
x5
domain {2, 1, 0, 2}
y
4
2
x
-4
-2
2
4
-2
-4
21. Use the vertical line test to determine
whether the relation is a function:
22. For the data in the table, tell whether y
varies directly with x. If it does, write an
Prentice Hall – Chapter 4 – Practice Test A
{ 2,3 ,  2, 5 4, 1 ,  0,0 ,  2,3}
equation for the direct variation.
x
y
0
0
5
25
7
35
8
40
y
4
2
x
-4
-2
2
4
-2
-4
23. Determine whether the relation is a
function and justify your answer.
 8, 4  ,  2, 4  ,  3, 6  , 8, 6 
24. During a clothing store’s Black Friday,
the regular price for T-Shirts is discounted by
$12. There is a state sales tax of %10 and the
$10 discount is applied before the sales tax is
calculated.
a. Write an expression that shows the regular
price r of a T-shirt minus the $10 discount.
b. Write a rule for the function that expresses
the final price p of a T-shirt with the discount
applied and the sales tax added.
c. How much would you pay during Black
Friday for a shirt regularly priced at 21.50?
Prentice Hall – Chapter 4 – Practice Test A
Chapter 4 Practice Test A Answers:
1. A(2,3), B(5, 0),
2.
C(-3, -4), D(-1,-5)
a) IV
b) II
c) x-axis
3.
4.
a) $3.50
b) $4.45
c) $4.75
f 0  3
f 1  1
f  1  1
5.
6.
x
-2
-1
0
1
2
7.
y
4
3
2
3
4
x
-2
-1
0
1
2
8.
y
0
-3
-4
-3
0
x
0
1
2
y
1
0
-1
f  x   5x
y
y
4
y
4
4
2
2
2
x
x
-4
-2
2
4
-2
2
-2
-4
-4
a) d (t )  14.15t
b) d (5)  70.75 ft
13.
x
-4
-2
9.
28
3
17.
P (1)  11
P (4)  23
P (10)  47
-4
x
2
4
-2
4
-4
10.
k 
-2
11.
C  3.29G
y  4 x
4
3
14.
Inverse Variation.
xy  27 or
12.
y
18.
The domain is all real
numbers except for 5.
27
x
15.
16.
Add 7 to the previous The common
number.
difference is -5.
16, 23
19.
20.
R:{1, 3, 5, 9}
y
4
2
-4
-2
B
C
2
-2
-4
4
A
x
Prentice Hall – Chapter 4 – Practice Test A
21.
22.
The data varies directly.
y
4
2
y  5x
O
x
-4
-2
2
4
-2
-4
O
24.
a. r-10
b. P  r  10  (r  10)(.10)
c. $12.65
23.
The relation is a
function because the
domain does not
repeat.