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Graph Linear Functions Worksheet - Page 4

Graph Linear Functions Worksheet
  • Page 4
 31.  
Identify the graph that represents a linear function.

a.
Graph 4
b.
Graph 1
c.
Graph 3
d.
Graph 2


Answer: (d)


Correct answer : (4)
 32.  
Which table best suits the equation y = x + 16?


a.
Table 3
b.
Table 2
c.
Table 1
d.
Table 4


Solution:

y = x + 16
[Original equation.]

y = 2 + 16 = 18
[Substitute x = 2 and add.]

y = 4 + 16 = 20
[Substitute x = 4 and add.]

y = 6 + 16 = 22
[Substitute x = 6 and add.]

y = 7 + 16 = 23
[Substitute x = 7 and add.]

Table 1 matches the values.

So, Table 1 best suits the equation y = x + 16.


Correct answer : (3)
 33.  
Identify the table that suits the equation y = 3x + 2.


a.
Table 2
b.
Table 3
c.
Table 1
d.
Table 4


Solution:

y = 3x + 2
[Original equation.]

y = (3 × - 1) + 2 = - 1
[Substitute x = - 1 and simplify.]

y = (3 × 0) + 2 = 2
[Substitute x = 0 and simplify.]

y = (3 × 1) + 2 = 5
[Substitute x = 1 and simplify.]

y = (3 × 2) + 2 = 8
[Substitute x = 2 and simplify.]

Table 2 matches the values.

So, Table 2 best suits the equation y = 3x + 2.


Correct answer : (1)
 34.  
Which table best matches the equation y = 5x?


a.
Table 3
b.
Table 2
c.
Table 1
d.
Table 4


Solution:

y = 5x
[Original equation.]

y = 5 × (- 2) = - 10
[Substitute x = - 2 and multiply.]

y = 5 × (- 1) = - 5
[Substitute x = - 1 and multiply.]

y = 5 × 0 = 0
[Substitute x = 0 and multiply.]

y = 5 × 1 = 5
[Substitute x = 1 and multiply.]

y = 5 × 2 = 10
[Substitute x = 2 and multiply.]

Table 1 matches the values.

So, among the given tables, Table 1 best matches the equation y = 5x.


Correct answer : (3)
 35.  
Identify the table that fits the equation y = x - 4.


a.
Table 2
b.
Table 4
c.
Table 3
d.
Table 1


Solution:

y = x - 4
[Original equation.]

y = 1 - 4 = - 3
[Substitute x = 1 and subtract.]

y = 2 - 4 = - 2
[Substitute x = 2 and subtract.]

y = 3 - 4 = - 1
[Substitute x = 3 and subtract.]

y = 4 - 4 = 0
[Substitute x = 4 and subtract.]

y = 6 - 4 = 2
[Substitute x = 6 and subtract.]

Table 4 matches with the values.

So, among the given tables, Table 4 fits the equation y = x - 4.


Correct answer : (2)
 36.  
Identify the table that matches the equation y = 2x + 3.


a.
Table 3
b.
Table 2
c.
Table 1
d.
Table 4


Solution:

y = 2x + 3
[Original equation.]

y = 2(0) + 3 = 3
[Substitute x = 0 and simplify.]

y = 2(1) + 3 = 5
[Substitute x = 1 and simplify.]

y = 2(2) + 3 = 7
[Substitute x = 2 and simplify.]

y = 2(3) + 3 = 9
[Substitute x = 3 and simplify.]

y = 2(4) + 3 = 11
[Substitute x = 4 and simplify.]

Table 2 matches with the values.

So, among the given tables, Table 2 matches the equation y = 2x + 3.


Correct answer : (2)
 37.  
Which rule describes the relationship between the input and output in the table shown?
InputOutput
47
58
69
710
811

a.
Output = Input + 3
b.
Output = Input 3
c.
Output = Input
d.
Output = Input - 3


Solution:

On observing the table it is found that the output 7 = 4 + 3, 8 = 5 + 3, 9 = 6 + 3, 10 = 7 + 3, and 11 = 8 + 3.

So, we can write the relationship between input and output as a rule, Output = Input + 3.


Correct answer : (1)
 38.  
Which of the following equations is true for the four pairs of x and y values shown in the table?
x- 2- 501
y6389

a.
y = - x - 8
b.
y = x + 8
c.
y = 3x + 3
d.
y = 2x + 4


Solution:

On observing the table, it is found that 6 = - 2 + 8, 3 = - 5 + 8, 8 = 0 + 8, 9 = 1 + 8

So, the equation that best represents the relationship is, y = x + 8.


Correct answer : (2)
 39.  
Which of the equations best represents the rule for the table?
x2345
y10152025

a.
y = 8x + 5
b.
y = x + 5
c.
y = 2x + 5
d.
y = 5x


Solution:

On observing the table, it is found that 10 = 2 × 5, 15 = 3 × 5, 20 = 4 × 5, 25 = 5 × 5

So, the equation that best represents the rule for the table is y = 5x.


Correct answer : (4)
 40.  
Identify a equation that represents the rule for the pattern shown in the table.
x46810
y22242628

a.
y = x + 18
b.
y = 3x + 6
c.
y = 4x
d.
y = 18x


Solution:

On observing the table, it is found that 22 = 4 + 18, 24 = 6 + 18, 26 = 8 + 18, 28 = 10 + 18

So, the equation that represents the rule for the pattern shown in the table is y = x + 18.


Correct answer : (1)

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