Name: ______________________ Class: _________________ Date: _________
ID: A
Linear Relations Mid-Unit Practice Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. In the equation P = 8n + 4, determine the value of P when n = 15.
A. 152
B. 27
C. 92
D. 124
2. This pattern of unit squares continues. Which equation below relates the number of squares, n, to the
figure number, f?
i) n = 3f + 4
ii) n = 3f + 1
iii) f = 3n + 1
iv) f = 4 + 3n
A. iii
____
B. ii
C. iv
D. i
3. The cost to rent a piece of equipment is $26, plus $5.27 per hour.
Calculate the cost of renting the equipment for 8 h.
A. $39.27
B. $1096.16
C. $250.16
D. $68.16
.
____
4. Which graphs represent a linear relation?
A. P only
B. P, R, and S
C. P and S
1
D. P and R
Name: ______________________
____
ID: A
5. Which tables of values represent a linear relation?
i)
x
1
2
3
4
5
y
2
5
10
17
26
x
0
1
2
3
4
y
0
5
10
15
20
x
1
2
3
4
5
y
5
9
13
17
21
x
0
1
2
3
4
y
12
11
10
9
8
ii)
iii)
iv)
A. All of these
____
B. ii and iii
C. ii, iii, and iv
D. i and iv
6. Complete the table of values.
y = 10 − 4x
____
A.
C.
B.
D.
7. Sean cycles at an average speed of 5 m/s.
He travels a distance, d metres, in t seconds.
Write an equation that relates d and t.
t
A. d =
B. t = 5d
5
2
C. d = 5t
D. d = t + 5
Name: ______________________
____
ID: A
8. For the equation 4x − 2y = 8, make a table of values for x = −2, 0, and 2.
A.
C.
B.
____
D.
9. Which equations describe vertical lines?
i)
ii)
iii)
iv)
x + 6 = 15
y − 15 = 6
x+y = 6
15x = 6
A. i and iv
B. ii and iii
C. ii and iv
D. i and iii
Short Answer
10. The cost of a taxi ride is the sum of a fixed cost of $15.95 plus $1.65 for each kilometre travelled.
a) Write an equation that relates the cost of a taxi ride, F dollars, to the distance travelled, n.
.
b) Determine the cost of a 28-km taxi ride.
.
3
Name: ______________________
ID: A
11. Graph the following lines on the same grid. Label the lines.
i) y = 4
ii) x = 3
12. A student builds a pyramid with some playing cards. The top level (level one) requires two cards.
Level two requires 5 cards (1 for the platform and 4 for the pyramids). The third level down requires
8 cards, 2 for the platform and 6 for the pyramids. This pattern continues with each level in the
pyramid of cards.
a) Create a table of values to show the relationship between the number levels (l) (starting with the top
one) and the number of cards (c) for that level.
b) Graph the relationship.
c) Write an equation to show the relationship.
d) Which is the independent variable and which is the dependent variable?
e) How many cards will be required for a 12th level? Use your equation from part (c) and show your
work.
4
ID: A
Linear Relations Mid-Unit Practice Quiz
Answer Section
MULTIPLE CHOICE
1. ANS:
REF:
TOP:
2. ANS:
REF:
TOP:
3. ANS:
REF:
TOP:
4. ANS:
LOC:
KEY:
5. ANS:
LOC:
6. ANS:
LOC:
7. ANS:
LOC:
KEY:
8. ANS:
REF:
TOP:
9. ANS:
REF:
TOP:
D
PTS: 1
DIF: Easy
4.1 Writing Equations to Describe Patterns
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Procedural Knowledge
B
PTS: 1
DIF: Easy
4.1 Writing Equations to Describe Patterns
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Conceptual Understanding
D
PTS: 1
DIF: Moderate
4.1 Writing Equations to Describe Patterns
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Procedural Knowledge
B
PTS: 1
DIF: Easy
REF: 4.2 Linear Relations
9.PR2
TOP: Patterns and Relations (Patterns)
Conceptual Understanding
C
PTS: 1
DIF: Moderate
REF: 4.2 Linear Relations
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Moderate
REF: 4.2 Linear Relations
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Moderate
REF: 4.2 Linear Relations
9.PR2
TOP: Patterns and Relations (Patterns)
Conceptual Understanding
C
PTS: 1
DIF: Easy
4.3 Another Form of the Equation for a Linear Relation
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Procedural Knowledge
A
PTS: 1
DIF: Moderate
4.3 Another Form of the Equation for a Linear Relation
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Conceptual Understanding
SHORT ANSWER
10. ANS:
a) F = $15.95 + 1.65n
PTS: 1
DIF: Moderate
REF: 4.1 Writing Equations to Describe Patterns
LOC: 9.PR1
TOP: Patterns and Relations (Patterns)
KEY: Conceptual Understanding | Procedural Knowledge
1
ID: A
11. ANS:
PTS: 1
DIF: Easy
REF: 4.3 Another Form of the Equation for a Linear Relation
LOC: 9.PR1
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
12. ANS:
a)
b)
c) c = 3l
d) independent variable is the level and the dependent variable is the number of cards
e) c = 3(12)
c = 36
36 cards will be required to construct the 12th level
PTS:
1
2