Name ___________________________
Date ________________
Class ______
Algebra Test REVIEW #6 - Linear Multiple Representations
1. The table shows a relationship between x and y.
x
0
1
2
3
6
y
5
9
13
17
29
3. Pictured are three vases and graphs representing the
height of water as it is poured into each of the vases at
a constant rate. Match each vase with the correct
graph.
Which equation represents the relationship?
A.
B.
C.
D.
y = x +5
y = 5x
y = 4x + 5
y = 4x +1
2. Which situation is best represented by the graph?
A. A snowboarder starts at the bottom of the hill
and takes a ski lift to the top.
B. A cruise boat travels at a steady pace from the
port to its destination.
C. An object dropped from the top of a building
gains speed at a rapid pace before hitting the
ground.
D. A marathon runner starts at a steady pace and
then runs faster at the end of the race before
stopping at the finish line.
4. During the school year, Lindsey works a total of 18
hours per week as a lifeguard and a tutor. She gets paid
$9 per hour for lifeguarding and $6 per hour for
tutoring. What is the maximum number of hours she
spent tutoring if she earned $178 during one week?
5. Lindsey’s monthly magazine subscription costs $1.25
per issue. Kenzie’s monthly subscription costs $1.50 per
issue, but she received her first 2 issues free. After how
many months will the girls have paid the same amount?
How much is that amount?
8. If w(x) = √
, find w( – 5)
9.
6. The radius of a ball is found by r = √
where S is
surface area. To the nearest tenth of an inch, what is
the radius of a ball with a surface area of 154 in2 ?
A.
B.
C.
D.
3.1 inches
3.5 inches
3.9 inches
6.1 inches
7. Students in a science class recorded lengths of a
stretched spring, as shown in the table below.
Length of Stretched Spring
Distance Stretched, x
Weight, y (newtons)
(centimeters)
0
0
2
10
4
20
7
35
9
45
10
50
Which equation best represents the relationship
between distance stretched, x, and the weight of the
spring, y?
A. y = -5x
B.
y=
C.
D.
y = 5x2
y = 5x
10. An internet service provider charges $9.95/month
for the first 20 hours and $0.50 for each additional
hour. Which expression best represents the charges for
h hours of use in one month when h is more than 20
hours?
A.
B.
C.
D.
9.95 + 0.50(h – 20)
9.95 – 0.50(h – 20)
0.50(h – 20) – 9.95
0.50(h – 20)
11. Write an expression to represent the perimeter of
the shape below. (Note: not drawn to scale)
3x - 5
2x + 4
14. The graph shows how the balance of Jim’s savings
account changed over time. Which of the following
expressions can be used to represent the balance of
Jim’s account after m months?
5x
8x + 3
10x - 1
A.
B.
C.
D.
100 + 25m
75m
50 + 50m
100 + 50m
12. A video store charges $y per game rental plus $12 to
rent the game system. Which expression can a student
use to find the total cost of renting a game system and x
games?
A. x + 12
B. xy + 12
15. In the figure below, the rectangle LMNP contains
several smaller rectangles with dimensions shown.
Which of the following represents the area of rectangle
LMNP?
C. y + 12x
D. y(x + 12)
L
x
x
x
1
M
x
13. The expression 9x2 + 6 represents the perimeter of
an equilateral triangle. Which of these expressions
represents the length of one side?
x
1
1
A.
B.
C. √
D.
N
P
2
A.
B.
C.
D.
(x3 + 1)(x2 + 2)
(3x + 1)(2x + 2)
3x(2x + 1)
(x3 + x)(x2 + 2x)
16. The diagram below shows four circles inscribed in a
square. The region around the circles is shaded. Which
expression represents the area of the shaded region?
18.
2x
A.
B.
C.
D.
16x2 – 4πx2
16x2 – πx2
4x2 – 4πx2
4x2 – πx2
19.
17. Look at the sequence in the table below.
Position
Value of Term
1
1.5
2
2
3
2.5
4
3
5
3.5
n
?
Which expression can be used to find the value of the
term in the nth position?
A.
B.
1
n
2
3
n
2
C.
D.
1
n +1
2
3
n -1
2
Which expression can be used to find the number of
smaller triangles that can be found in the nth figure?
A.
B.
C.
D.
2n – 1
n2
2n
n2 + 1