Linear Relations Review for Test
1. The cost to print stickers is $6.55, plus $0.55 per sticker.
Determine an equation that relates the total cost, C dollars, to the number of stickers, s.
2. Which graphs represent a linear relation?
9
y
Q
P
8
7
6
5
R
4
3
2
1
0
S
1
2
3
4
5
6
7
8
9
x
3. Complete the table of values.
x
2
4
6
8
y
4. This table of values represents a linear relation. Complete the table and write an equation that relates x and y.
x
1
3
y
9
17
5
7
5. 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.
6. Which line is the graph of x = -4?
y
6
Line S
Line R
4
2
–6
–4
–2
Line P
0
2
4
–2
6
x
Line Q
–4
–6
7. Which graph on this grid has the equation
?
y
10
ra
ph
P
8
G
6
4
ra
ph
ph
ra
Q
G
2
–4
G
S
–6
–2
0
2
4
6
x
–2
G
ph
ra
–4
R
–6
–8
–10
8. Which graph on this grid has the equation
y
6
4
Graph P
2
–6
–4
–2
Graph S
0
–2
–4
–6
2
4
Graph R
Graph Q
6
x
?
9. Which equation describes the graph below?
i)
ii)
iii)
iv)
y
6
4
2
–6
–4
0
–2
2
4
6
x
–2
–4
–6
10. This graph represents a linear relation.
Determine the value of y when x = 3.
y
8
6
4
2
–6
–4
0
–2
2
4
6
–2
11. This graph represents a linear relation.
Determine the value of x when y = –2.
y
6
4
2
–6
–4
–2
0
–2
–4
–6
2
4
6
x
x
y
10
8
12. This graph represents a linear relation.
Determine the value of x when y = 5.
6
4
2
0
2
4
6
8
x
13. This pattern of unit squares continues.
Determine an equation that relates the number of unit squares, n, to the figure number, f.
Figure 1
Figure 2
Figure 3
14. In a table of values for a pattern, P = 17 when n = 2. Which equation might represent the pattern?
i)
ii)
iii)
iv)
15. Create a table of values for the linear relation
Use values of x from 0 to 6.
x
0
1
2
3
, then graph the relation.
4
5
y
y
20
18
16
14
12
10
8
6
4
2
–12 –10 –8 –6 –4 –2 0
–2
–4
–6
–8
–10
–12
–14
–16
–18
–20
2
4
6
8 10 12
x
6
16. Graph the following lines on the same grid. Label the lines.
i)
ii)
y
4
2
0
–2
2
4
6
x
–2
–4
17. This graph represents a linear relation.
a) Determine the value of x when y = 3.
b) Estimate the value of y when x = –2.
y
6
4
2
–6
–4
–2
0
2
4
6
x
–2
–4
18. This graph represents a linear relation.
a) Estimate the value of y when x = –3.
b) Estimate the value of x when y = –1.5.
y
6
4
2
–6
–4
–2
0
–2
–4
–6
2
4
6
x
19. This graph represents a linear relation.
a) Estimate the value of y when
b) Estimate the value of x when
.
.
y
10
8
6
4
2
–10
–8
–6
–4
–2
0
–2
–4
–6
–8
–10
2
4
6
8
10
x
Linear Relations Review for Test
Answer Section
MULTIPLE CHOICE
1. ANS:
REF:
TOP:
2. ANS:
LOC:
3. ANS:
LOC:
4. ANS:
LOC:
5. ANS:
LOC:
6. ANS:
REF:
TOP:
7. ANS:
LOC:
8. ANS:
LOC:
9. ANS:
LOC:
10. ANS:
REF:
TOP:
11. ANS:
REF:
TOP:
12. ANS:
REF:
TOP:
C
PTS: 1
DIF: Easy
4.1 Writing Equations to Describe Patterns
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Conceptual Understanding
B
PTS: 1
DIF: Easy
REF: 4.2 Linear Relations
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Conceptual Understanding
D
PTS: 1
DIF: Moderate
REF: 4.2 Linear Relations
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
A
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: Conceptual Understanding
B
PTS: 1
DIF: Easy
4.3 Another Form of the Equation for a Linear Relation
LOC: 9.PR1
Patterns and Relations (Patterns)
KEY: Conceptual Understanding
B
PTS: 1
DIF: Easy
REF: 4.4 Matching Equations and Graphs
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
D
PTS: 1
DIF: Easy
REF: 4.4 Matching Equations and Graphs
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Moderate
REF: 4.4 Matching Equations and Graphs
9.PR2
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Easy
4.5 Using Graphs to Estimate Values
LOC: 9.PR2
Patterns and Relations (Patterns)
KEY: Procedural Knowledge
B
PTS: 1
DIF: Easy
4.5 Using Graphs to Estimate Values
LOC: 9.PR2
Patterns and Relations (Patterns)
KEY: Procedural Knowledge
D
PTS: 1
DIF: Moderate
4.5 Using Graphs to Estimate Values
LOC: 9.PR2
Patterns and Relations (Patterns)
KEY: Procedural Knowledge
SHORT ANSWER
13. ANS:
PTS: 1
LOC: 9.PR1
14. ANS:
iii
DIF: Moderate
REF: 4.1 Writing Equations to Describe Patterns
TOP: Patterns and Relations (Patterns)
KEY: Conceptual Understanding
PTS: 1
LOC: 9.PR1
15. ANS:
DIF: Easy
REF: 4.1 Writing Equations to Describe Patterns
TOP: Patterns and Relations (Patterns)
KEY: Conceptual Understanding
x
0
1
2
3
4
5
6
y
4
0
–4
–8
–12
–16
–20
y
20
18
16
14
12
10
8
6
4
2
–12 –10 –8 –6 –4 –2 0
–2
2
4
6
8 10 12
x
–4
–6
–8
–10
–12
–14
–16
–18
–20
PTS: 1
LOC: 9.PR2
16. ANS:
DIF: Moderate
REF: 4.2 Linear Relations
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
y
4
y =2
–2
2
0
2
4
6
x
–2
x =4
–4
PTS: 1
LOC: 9.PR1
17. ANS:
DIF: Easy
REF: 4.3 Another Form of the Equation for a Linear Relation
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
a) x = 6
b) y = 5
2
3
PTS: 1
LOC: 9.PR2
18. ANS:
a) y = –2.75
b) x = 2
DIF: Moderate
REF: 4.5 Using Graphs to Estimate Values
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
PTS: 1
LOC: 9.PR2
19. ANS:
a)
b)
DIF: Moderate
REF: 4.5 Using Graphs to Estimate Values
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge
PTS: 1
LOC: 9.PR2
DIF: Moderate
REF: 4.5 Using Graphs to Estimate Values
TOP: Patterns and Relations (Patterns)
KEY: Procedural Knowledge