Function Worksheets

**Page 11**

101.

What is the value of the function $f$(9), if $f$($x$) = 3$x$ + 5?

a. | 10 | ||

b. | 32 | ||

c. | 54 | ||

d. | 22 |

[Original equation.]

[Substitute 9 for

= 32

[Simplify.]

Correct answer : (2)

102.

Choose the equation that satisfies the input - output table.

Input($x$) | 0 | 1 | 2 | 3 | 4 | 5 |

Output($y$) | 50 | 54 | 58 | 62 | 66 | 70 |

a. | $y$ = 50 - 5$x$ | ||

b. | $y$ = 50 + 4$x$ | ||

c. | $y$ = 50 + 6$x$ | ||

d. | $y$ = 50 - 7$x$ |

[Consider choice A.]

[Substitute 0 for

[Substitute 1 for

In the table for

[Consider choice B.]

[Substitute 0 for

[Substitute1 for

[Substitute 2 for

[Substitute 3 for

[Substitute 4 for

[Substitute 5 for

The equation

Correct answer : (2)

103.

The table represents the relationship between $x$ and $y$.

Which of these equations best represents the relationship?

$x$ | - 1 | 1 | 2 | 3 |

$y$ | 5 | 7 | 8 | 9 |

Which of these equations best represents the relationship?

a. | $y$ = $x$ + 6 | ||

b. | $y$ = 2$x$ + 4 | ||

c. | $y$ = - $x$ - 5 | ||

d. | $y$ = 3$x$ + 3 |

Correct answer : (1)

104.

Identify an equation that represents the rule for the pattern shown in the table.

$x$ | 3 | 5 | 7 | 9 |

$y$ | 18 | 20 | 22 | 24 |

a. | $y$ = 3$x$ + 1 | ||

b. | $y$ = 6$x$ | ||

c. | $y$ = 4$x$ | ||

d. | $y$ = $x$ + 15 |

Correct answer : (4)

105.

Which of the equations best represents the rule for the table?

$x$ | 1 | 2 | 3 | 4 |

$y$ | 8 | 16 | 24 | 32 |

a. | $y$ = 8$x$ | ||

b. | $y$ = 3$x$ + 7 | ||

c. | $y$ = $x$ + 7 | ||

d. | $y$ = 8$x$ + 5 |

Correct answer : (1)

106.

Rebecca is staying as a paying guest in her aunt's house. Her aunt charges her $20 per month as rent and $15 per day for food. The total cost $c$ = 20 + 15$n$, $n$ represents the number of days she had her food in her aunt's house. Which of the tables best suits the equation?

a. | Table 3 | ||

b. | Table 2 | ||

c. | Table 4 | ||

d. | Table 1 |

[Original equation.]

[Replace

= 20

[Simplify.]

[Replace

= 35

[Simplify.]

[Replace

[Simplify.]

[Replace

[Simplify.]

[Replace

= 80

[Simplify.]

[Replace

= 95

[Simplify.]

The input and output values of table-1 matches with the results of the equation.

Table-1 satisfies the equation.

Correct answer : (4)

107.

Which of the tables represents the equation $y$ = 3(4$x$ + 12) for $x$ = 0, 1, 2, 3, 4, 5?

a. | Table 1 | ||

b. | Table 4 | ||

c. | Table 2 | ||

d. | Table 3 |

[Original equation.]

[Replace

[Replace

[Replace

[Replace

[Replace

[Replace

For the values of

So, Table 4 best suits the equation

Correct answer : (2)

108.

Which equation satisfies the input-output table?

Input($x$) | 0 | 1 | 2 | 3 | 4 | 5 |

Output($y$) | 30 | 25 | 20 | 15 | 10 | 5 |

a. | $y$ = 30 - 6$x$ | ||

b. | $y$ = 30 - 5$x$ | ||

c. | $y$ = 30 - 7$x$ | ||

d. | $y$ = 30 - 8$x$ |

[Consider choice A.]

[Replace

[Replace

In the table for

[Consider choice B.]

[Replace

[Replace

[Replace

[Replace

[Replace

[Replace

The equation

Correct answer : (2)

109.

A function $y$ = 8$x$ represents a line passing through the origin. If $x$ ≥ 0 and $x$ ≤ 5, then which table shows the relation between input and output for the function?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[Original equation.]

[Replace

[Replace

[Replace

[Replace

[Replace

[Replace

The values of

Table 1 satisfies the equation.

Correct answer : (1)

110.

Which of the graphs best suits the equation $f$($x$) = 2$x$ - 1?

a. | Graph 2 | ||

b. | Graph 4 | ||

c. | Graph 3 | ||

d. | Graph 1 |

[Original equation.]

[Replace

[Simplify.]

[Replace

[Simplify.]

[Replace

[Simplify.]

Among the choices, graph 3 suits the equation.

Correct answer : (3)