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 |

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 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

Table 1 matches the values.

So, Table 1 best suits the equation

Correct answer : (3)

33.

Identify the table that suits the equation $y$ = 3$x$ + 2.

a. | Table 2 | ||

b. | Table 3 | ||

c. | Table 1 | ||

d. | Table 4 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

Table 2 matches the values.

So, Table 2 best suits the equation

Correct answer : (1)

34.

Which table best matches the equation $y$ = 5$x$?

a. | Table 3 | ||

b. | Table 2 | ||

c. | Table 1 | ||

d. | Table 4 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

[Substitute

Table 1 matches the values.

So, among the given tables, Table 1 best matches the equation

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 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

[Substitute

Table 4 matches with the values.

So, among the given tables, Table 4 fits the equation

Correct answer : (2)

36.

Identify the table that matches the equation $y$ = 2$x$ + 3.

a. | Table 3 | ||

b. | Table 2 | ||

c. | Table 1 | ||

d. | Table 4 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

[Substitute

Table 2 matches with the values.

So, among the given tables, Table 2 matches the equation

Correct answer : (2)

37.

Which rule describes the relationship between the input and output in the table shown?

Input | Output |

4 | 7 |

5 | 8 |

6 | 9 |

7 | 10 |

8 | 11 |

a. | Output = Input + 3 | ||

b. | Output = $\frac{\mathrm{Input}}{3}$ | ||

c. | Output = Input | ||

d. | Output = Input - 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 | - 5 | 0 | 1 |

$y$ | 6 | 3 | 8 | 9 |

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

b. | $y$ = $x$ + 8 | ||

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

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

So, the equation that best represents the relationship is,

Correct answer : (2)

39.

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

$x$ | 2 | 3 | 4 | 5 |

$y$ | 10 | 15 | 20 | 25 |

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

b. | $y$ = $x$ + 5 | ||

c. | $y$ = 2$x$ + 5 | ||

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

So, the equation that best represents the rule for the table is

Correct answer : (4)

40.

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

$x$ | 4 | 6 | 8 | 10 |

$y$ | 22 | 24 | 26 | 28 |

a. | $y$ = $x$ + 18 | ||

b. | $y$ = 3$x$ + 6 | ||

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

d. | $y$ = 18$x$ |

So, the equation that represents the rule for the pattern shown in the table is

Correct answer : (1)