Alg 1 TE Lesson 10-8

Test Prep
Resources
For additional practice with a
variety of test item formats:
• Standardized Test Prep, p. 611
• Test-Taking Strategies, p. 606
• Test-Taking Strategies with
Transparencies
Exercise 31 Remind students that
the y-coordinates of an exponential
model have a common ratio. After
determining that the x-coordinates
are written in sequential order
with a common difference,
students just need to check the
first three y-coordinates of each
set of data to find the set with a
common ratio.
pages 601–604 Exercises
33. [4] a. linear
b. d ≠–2.5n ± 43.5
c. 18
[3] appropriate methods,
but with one
computational error
[2] part (c) not answered
[1] no work shown
37.
O y
2
x
2
Standardized Test Prep Test Prep
Multiple Choice
Short Response
Extended Response
30. Which equation best
models the data in the
table at the right? B
A. y = 4x
B. y = 2x + 2
C. y = 2 x
D. y = 2x 2
31. Which of the following sets of data is best described by an
exponential model? H
F. (-1, 16), Q2
1
2
, 4 R, (0, 2), Q 1 2
, -2 R, (1, 4) 32. [2] p ≠ 33,500(1.014) n ,
G. (1, -7), (2, -4), (3, -1), (4, 2), (5, 5)
33,500(1.014) 10 N
H. (1, 1), (3, 3), (0, 0.5), (5, 8), (7, 14)
38,497
J. (-2, -4), (-1, 3), (0, 8), (1, 14), (2, 12) [1] correct formula,
inaccurate evaluation
32. The population of a town was 33,500 in 2000. The population is
increasing by about 1.4% each year. Write an equation that will
predict the population n years after 2000. Let 2000 correspond to n = 0.
Predict the town’s population in 2010. See above.
33. Suppose you put marbles into a cup hanging from an elastic band (spring).
You measure the distance d from the floor in centimeters as the number n
of marbles is increased.
n 0
d 43.5
1
41
x
0
1
2
2
38.5
a. Which type of model best fits this data set? a–c. See margin.
b. Write an equation for the data.
c. Suppose the pattern shown above continues. Find the least number of
marbles you need to make the cup rest on the floor.
y
2
4
6
3 8
4 10
3
36
4
33.5
5
31
3
38.
f(x)
2
Mixed Review
39.
2 O 2
f(x)
6
2
O x
1 1
x
GO
for
Help
Lesson 10-7
Lesson 10-1
Lesson 8-7
Find the number of x-intercepts of each function.
34. y =-x 2 1 35. y = x 2 + 3x + 4 0 36. y = 4x 2 - 10x + 3 2
Graph each function. 37–42. See margin.
37. y =-2x 2 38. f(x) =
1
4
x 2 39. f(x) = x 2 + 4
40. y =-x 2 - 2 41. y = 3x 2 + 1 42. y =-
1
2
x 2 + 1
Evaluate each function rule for the given value.
43. y = 2 x for x =-3 0.125 44. f(x) =-2 x for x = 5 –32
40.
O y x
1 1
45. g(t) = 2 ? 3 t 2
for t =-3 46. f(t) = 10 ? 5 t 27
for t = 2 250
47. y = Q 1 2 Rt for t =-4 16 48. y = 9 ? Q 3 2 Rx for x = 3 30.375
4
604 Chapter 10 Quadratic Equations and Functions
41.
8
4
y
42.
y
O
1 1
x
x
1O
1
2
604