WorksheetsLinear Relations Review
Total questions: 70
Worksheet time: 2hrs 27mins
Name
Class
Date
1.
A cross-country ski park contains five different trails. The diagram shows the trails, with each trail being successively larger. Each side length of the shortest trail is 2 km. The side length of each consecutive trail is 0.5 km longer than the previous one.
a)
y = 8x
b)
y = 2x - 5
c)
y = 2x + 6
d)
y = 4x
2.
Match each equation with its graph below. a) y = 2x b) 2y = 7 c) 3y = 2
a)
Graph A a) Graph B is b) Graph C c)
b)
Graph A b) Graph B a) Graph C c)
c)
Graph A b) Graph B c) Graph C a)
d)
Graph A c) Graph B a) Graph C b)
3.
What equation models the graph?
a)
y = x + 1
b)
y = x - 1
c)
y = 0.5x - 2
d)
y = 0.5x + 2
4.
On top of the $45 monthly fee, Mike’s cell phone plan charges $0.15 for every text message he sends or receives. Write an equation to represent the situation, and if his budget is $80, how many text messages can he send or receive?
a)
y = 45x + 0.15, 2 texts
b)
y = 45x + 0.15, 3600 texts
c)
y = 0.15x + 45, 233 texts
d)
y = 0.15x + 45, 57 texts
5.
Match the equation to a correct statement.
a)
He charged $5 every hour.
b)
He left 5 hours ago.
c)
he started with $5
d)
he bought 5 lemons
6.
What is the cost for 5 items?
a)
5
b)
0
c)
30
d)
25
7.
Total pay is $10 to show up
and $7 for every hour worked. Which of the following statements is true?
and $7 for every hour worked. Which of the following statements is true?
a)
The initial value is 7
b)
the initial value is 10
c)
the rate of change is 10
d)
the initial value is 17
8.
If Nick works 10 hours, how much money will he earn? (Use this rule)
a)
$17
b)
$70
c)
$80
d)
$107
9.
The equation for this graph is ...
a)
C = 5n
b)
C = 100n
c)
C = -5n + 100
d)
C = 5n + 100
10.
What is the rule?
a)
T= 3 x P
b)
T = 6 x P + 3
c)
T = 3 x P + 6
d)
T = 9P
11.
The multiplier (RoC) for this pattern
a)
4
b)
3
c)
7
d)
2
12.
How many tiles would be in position 100?
a)
303
b)
300
c)
15
d)
100
13.
What is the rule? (assume that we begin at position 0)
a)
T = 1P + 1
b)
T = 1P
c)
T = 1
14.
Which statement is not true? (assume we start at position 1)
a)
The RoC is 5
b)
the initial value is 2
c)
The rule is T=5xP + 2
d)
the RoC is 7.
15.
Identify the false statement.
a)
the constant for pattern A is 6
b)
the constant for pattern B is 2
c)
pattern B would have a steeper line
d)
pattern A would have a steeper line
16.
What does the fish look like at birth?
a)
2 orange tiles and 2 red tiles
b)
2 red tiles
c)
2 orange tiles
d)
No tiles at all
17.
Evaluate the expression. Let c = 3 d = 2
3c + 7d
3c + 7d
a)
27
b)
21
c)
29
d)
23
18.
What is the operation of the following expression? x/5
a)
multiplication
b)
addition
c)
subtraction
d)
division
19.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
20.
Evaluate 8 + g when g=28
a)
36
b)
288
c)
20
d)
828
21.
Evaluate 5m when m=8
a)
58
b)
13
c)
85
d)
40
22.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9
c)
y = x + 3
d)
y = 12x - 3
23.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
24.
What is the rule for this pattern?
32,36,40,44
32,36,40,44
a)
add 4
b)
multiply 2
c)
subtract 4
d)
divide by 2
25.
What number belongs in the blank?
18,24,___,36,42
18,24,___,36,42
a)
28
b)
31
c)
30
d)
35
26.
How many blocks will be in the 4th term?
a)
The next term will have 16 blocks
b)
The next term will have 15 blocks.
c)
The next term will have 14 blocks.
d)
This is the end of the pattern.
27.
How many counters would come next?
a)
5
b)
7
c)
9
d)
11
28.
How many cubes would be in the next shape?
a)
15
b)
16
c)
17
d)
18
29.
If you extended the pattern, how many dots would come next?
a)
16
b)
20
c)
25
d)
30
30.
What is the rule for this pattern?
32,36,40,44
32,36,40,44
a)
add 4
b)
multiply 2
c)
subtract 4
d)
divide by 2
31.
What is the rule for this pattern?
32,36,40,44
32,36,40,44
a)
add 4
b)
multiply 2
c)
subtract 4
d)
divide by 2
32.
If you extended the pattern, how many dots would come next?
a)
16
b)
20
c)
25
d)
30
33.
How many cubes would be in the next shape?
a)
15
b)
16
c)
17
d)
18
34.
How many counters would come next?
a)
5
b)
7
c)
9
d)
11
35.
How many cubes would be in the next shape?
a)
15
b)
16
c)
17
d)
18
36.
How many blocks will be in the 4th term?
a)
The next term will have 16 blocks
b)
The next term will have 15 blocks.
c)
The next term will have 14 blocks.
d)
This is the end of the pattern.
37.
What is the rule for this pattern?
32,36,40,44
32,36,40,44
a)
add 4
b)
multiply 2
c)
subtract 4
d)
divide by 2
38.
Total pay is $10 to show up
and $7 for every hour worked. Which of the following statements is true?
and $7 for every hour worked. Which of the following statements is true?
a)
The initial value is 7
b)
the initial value is 10
c)
the rate of change is 10
d)
the initial value is 17
39.
Match the equation to a correct statement.
a)
He charged $5 every hour.
b)
He left 5 hours ago.
c)
he started with $5
d)
he bought 5 lemons
40.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
41.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9
c)
y = x + 3
d)
y = 12x - 3
42.
Evaluate expression: 5a + b for a= 6 and b= 3
a)
33
b)
36
c)
30
d)
59
43.
Evaluate the expression. Let c = 3 d = 2
3c + 7d
3c + 7d
a)
27
b)
21
c)
29
d)
23
44.
Evaluate 2r + 1 if r = 3
a)
6
b)
5
c)
7
d)
8
45.
What is the quotient of y and 5?
a)
y - 5
b)
y + 5
c)
y X 5
d)
y/5
46.
If a = 4 and b = 6, what is the value of 3a + 5b?
a)
40
b)
42
c)
44
d)
46
47.
If x = 5, find the value of 7x-1.
a)
34
b)
36
c)
35
d)
37
48.
If y = 7, find the value of 2(y+4).
a)
11
b)
22
c)
20
d)
12
49.
What is the value of 7a + 3 if a = -2?
a)
-11
b)
11
c)
10
d)
-10
50.
What is the value of -3y - 9 if y = -8?
a)
15
b)
-15
c)
14
d)
-14
51.
If k=5 , find 4k+3
a)
453
b)
2
c)
4
d)
8
52.
If p=3, q=10 , find q2−p2
a)
7
b)
1
c)
49
d)
91
53.
If r=4, s=8 , find s5r2
a)
6
b)
8
c)
10
d)
12
54.
Evaluate the expression is a = 6
a + a2 =
a)
18
b)
42
c)
612
55.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a2 + c2
2a2 + c2
a)
22
b)
34
c)
68
d)
43
56.
Work out the value of the expression when a = 3, b = 4 and c = 5.
a)
3
b)
1 1/3
c)
4
d)
1/3
57.
Work out the value of the expression when x = 3, y = – 2 and z = – 4.
a)
1
b)
-1
c)
1/5
d)
-6
58.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
59.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
60.
When x = 3, y = 6 and z = 7, find 2x - z
a)
-1
b)
-2
c)
-3
d)
-4
61.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
62.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
63.
Level 1
y=x-6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
64.
Level 3 Which table of values can be defined by y=x+5?
a)
a
b)
b
c)
c
65.
What is ordered pair for X?
a)
(5,2)
b)
(2,3)
c)
(4,4)
d)
(6,6)
66.
Which graph represents the table?
a)
b)
c)
d)
67.
Find the missing y value.
(a)
68.
Find the missing y values.
a)
6 & 12
b)
4 & 12
c)
4 & 2
d)
6 & 2
69.
How would I graph the point (-1, 3)?
a)
Left 1, up 3
b)
Left 1, down 3
c)
Down 1, Right 3
d)
Down 1, Left 3
70.
What is ordered pair for X?
a)
(5,2)
b)
(2,3)
c)
(4,4)
d)
(6,6)
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