Graph Linear Functions Worksheet

**Page 6**

51.

Which of the following equations is not a linear equation?

a. | 2 + 3$x$ = 4 | ||

b. | 3$x$ - 5 = 8$x$ | ||

c. | ($x$ + 2) ^{2} = 6 | ||

d. | $x$ = 1 |

In the equation (

So, (

Correct answer : (3)

52.

Identify a table that represents a linear function.

a. | Table 2 | ||

b. | Table 4 | ||

c. | Table 1 | ||

d. | Table 3 |

In the tables 1, 2 and 4,

[Consider table 3.]

The change in input (

Among the choices, Table 3 forms a linear function.

[The ratio of the change in

Correct answer : (4)

53.

Identify the table that represents a non-linear function.

a. | Table 1 | ||

b. | Table 3 | ||

c. | Table 4 | ||

d. | Table 2 |

In the tables 1, 2 and 4,

In the table 3,

Therefore, Table 3 represents a non-linear function.

Correct answer : (2)

54.

Identify the graph that represents a linear function.

a. | Graph 2 | ||

b. | Graph 4 | ||

c. | Graph 1 | ||

d. | Graph 3 |

Graph 4 is a straight line.

So, Graph 4 represents a linear equation.

Correct answer : (2)

55.

Which of the following situations best represents the graph?

a. | As the number of workers increase, time taken to finish the job decreases. | ||

b. | As the time increases, amount of interest increases. | ||

c. | As the number of pens increase, total cost increases. | ||

d. | As the number of books increase, space occupied increases. |

Therefore, the situation that best represents the graph is 'As the number of workers increase, time taken to finish the job decreases.'

Correct answer : (1)

56.

Identify the graph that represents a linear model.

a. | Graph 2 | ||

b. | Graph 1 | ||

c. | Graph 4 | ||

d. | Graph 3 |

Graph 4 is a straight line.

So, Graph 4 represents a linear equation.

Correct answer : (3)

57.

Identify the graph that represents a non-linear model.

a. | Graph 3 | ||

b. | Graph 4 | ||

c. | Graph 1 | ||

d. | Graph 2 |

Graphs 1, 2, and 3 are straight lines.

Therefore, Graphs 4 represents a non-linear model.

Correct answer : (2)

58.

Which among the following is a linear function?

(i) 2$x$ + $y$ - 1 = 0

(ii) 2$y$ - ($\frac{10}{\mathrm{x}}$) = 1

(iii) $\mathrm{xy}$ - 1 = 0

(i) 2$x$ + $y$ - 1 = 0

(ii) 2$y$ - ($\frac{10}{\mathrm{x}}$) = 1

(iii) $\mathrm{xy}$ - 1 = 0

a. | only (i) | ||

b. | only (ii) | ||

c. | (i), (ii), and (iii) | ||

d. | (i) and (ii) |

2

[Keep 'y' on one side, bring the rest to the other side.]

2

Among the given equations, only 2

Correct answer : (1)

59.

Find the slope of the line in the graph.

a. | 2 | ||

b. | $\frac{1}{2}$ | ||

c. | - $\frac{1}{2}$ | ||

d. | - 2 |

Correct answer : (4)

60.

Find the $y$-intercept of the line 3$y$ - $x$ = 5.

a. | 5 | ||

b. | - 5 | ||

c. | $1\frac{2}{3}$ | ||

d. | $\frac{1}{5}$ |

Correct answer : (3)