Algebra II FINAL EXAM REVIEW DOCUMENT
Multiple Choice: Choose the alternative that best completes the statement or answers the question.
____ 1)
Which of the following is NOT a quantity?
A. The number of people in a store.
B.
C. Mr. Peterson.
D. Your weight.
E.
____ 2)
The height of your home.
The Length of a yard stick.
Which of the following is an example of a varying quantity?
A. The amount of coffee consumed by Americans each day.
B.
The number of students that are still enrolled in your math class today at 2:20 PM.
C. The number ounces in a gallon of water.
D. The distance around the inside edge of a 400 meter track.
E.
____ 3)
Which expression represents the change in h from h =5.6 to h = -2.8?
−2.8
5.6
B.
−2.8 + 5.6
C. −2.8 − 5.6
D.
5.6
−2.8
A.
E.
____ 4)
The length of the Arizona-Utah boarder
5.6 + 2.8
Suppose we want to rank the following objects in order from slowest to fastest. Assume each object
is traveling at a constant speed (but not necessarily the same constant speed).
Bike: 88 feet in 6 seconds
Runner: 109 feet in 15 seconds
Car: 70.4 feet in 4 seconds
Cat: 13.2 feet in 1.5 seconds
Duck: 7.2 feet in 0.6 seconds
A. Bike, Car, Cat, Duck, & Runner
B. Car, Bike, Duck, Cat, & Runner
C. Duck, Cat, Runner, Bike, & Car
E.
____ 5)
D. Car, Bike, Runner, Cat, & Duck
Runner, Cat, Duck, Bike, & Car
What does the expression " g  3" represent?
A. The change in g over some interval is 3.
B.
g subtracted from 3.
C. The change in g from any possible value of g to g = 3.
D. The change in g from g = 3 to any possible value of g.
E.
g plus the opposite of 3.
____ 6)
____ 7)
____ 8)
In the graph below, as the days increase from 4 to 9, what is the corresponding change in height?
A. ∆h = 3
B. ∆h = 9
D. ∆h = 6
E. ∆y = 4
Suppose we know that ∆y = –5.8∙∆x. Find the value of ∆y as x changes from x = 1.2 to x = 7.8.
A. ∆y = 38.28
B. ∆y = 6.6
D. ∆y = 24.36
E. ∆y = -38.28
C. ∆y = -6.6
Suppose we know that ∆y = -5.8∙∆x and y = 158.04 when x= 1.2. Find the value of y as x changes
from x = 1.2 to x = 7.8
A. y = 182.4
B. y = 164.64
C. y = 151.44
D. y = 119.76
____ 9)
C. ∆h = -9
E. y = 196.32
Given that y is a linear function in terms of x given by the equation y  2  x  3  7 , then which of
the following statements are accurate descriptions of the implied meaning.
i.
The graph of the linear function must pass through the point (3, 7).
ii.
The expression “ x  3 ”represents the change in x from x  3 to any value of x.
iii. The expression “ 2( x  3) ”represents the change in y given by the multiplying the
constant rate of change with the corresponding change in x from x  3 to any value
of x.
A. i & iii
B. ii & iii
D. i only
E. iii only
C. i, ii, & iii
____ 10) Jim-Bob ships two packages to Santa Barbra using Saguaro Express Shipping. The first package
weighed 8.4 lbs. and cost $17.07 to ship, the second package weighed 5.2 lbs. and cost $12.43 to
ship. Let w represent the weight of the package being shipped measured in pounds, and c be the cost
to ship the package to Santa Barbra in dollars. If there is a constant rate of change of c is with respect
to w, then write a formula that relates the varying quantities.
A. c  1.45  w 12.43  5.2
B. c  1.45  w  8.4 17.07
C. w  1.45  c  8.4  17.07
D.
w  1.45  c 17.07   8.4
E.
c  1.45  w  5.2  12.43
____ 11) Write the formula that defines the linear relationship shown in the
graph on the right.
A.
D.
3
 x  2
5
5
y  4    x  5
3
y 1 
B.
E.
3
 x  5
5
5
y 1    x  2
3
y4
____ 12) Which of the following formulas does NOT define the linear
relationship given by the values in the table on the right.
A. 𝑦 = 3𝑥 − 1
B. y +6 = 3(x+19)
D. y = 3 (x - 1) -2
E. y = 3 (x-4) + 11
____ 13) Which graph correctly represents: 𝑦 = 1 (𝑥 − 1) + 6.
3
A.
B.
C.
D.
C.
y5  
5
 x  4
3
X
-6
−2
1
4
C. y +2 = 3 (x - 7)
Y
-19
-7
2
11
____ 14) Given that ∆y = -3/2 ∆x and using the point reference in
the graph to the right 
what is the correct equation of the line:
3
2
3
D. 𝑦 = − 𝒙 + 4
2
A. 𝑦 = − (𝑥 + 2) + 4
3
2
3
𝑦 = − 𝑥−7
2
B. 𝑦 = − (𝑥 − 2) + 4
E.
____ 15) Which graph correctly represents: 𝑦 = 1 𝑥 − 4.
2
A.
B.
C.
D.
____ 16) How would you write
…a constant change in y with respect to x of 3?
…A linear equation defining f with respect to g
C. 𝑦 =
2
(𝑥 + 2) − 4
3