Linear and Quadratic Functions Worksheet

**Page 1**

1.

A small stone is projected directly upward from the ground with an initial velocity of 32 ft/s. Write an equation to find the time $t$ for the stone to reach a height of 64 ft.

a. | 16$t$ ^{2} + 32$t$ + 64 = 0 | ||

b. | 32$t$ ^{2} + 16$t$ - 64 = 0 | ||

c. | 16$t$ ^{2} + 64$t$+ 32 = 0 | ||

d. | 16$t$ ^{2} - 32$t$ + 64 = 0 |

The height reached by the vertically projected stone in

[Use the laws of motion for a vertically projected body.]

64 = 32

[Replace

16

Correct answer : (4)

2.

In a zoo, there are some apes. 4 apes are on the trees and the number of remaining apes is equal to the square of one-fifth of their total number. Choose the total number of apes from the following.

a. | 20 | ||

b. | 16 | ||

c. | 4 | ||

d. | 10 |

[Aanalyze the situation.]

[Let the total number of apes =

[Multiply each term with 25 and rearrange.]

(

[Factor.]

[Solve for

The number of apes in the forest is either 20 or 5.

Correct answer : (1)

3.

There are three consecutive positive integers. If the product of the first two integers is 2 more than 9 times the third integer, then find the integers.

a. | 2, 3, 4 | ||

b. | 8, 9, 10 | ||

c. | 10, 11, 12 | ||

d. | 6, 7, 8 |

[Let the first positive integer be

[Analyze the situation.]

[Use the Distributive property.]

[Group the terms and simplify.]

(

[Factor.]

[Solve for

[

The consecutive positive integers are 10, 11, 12.

Correct answer : (3)

4.

Find the sides of a right triangle which are consecutive integers.

a. | 5, 6, 7 | ||

b. | cannot be determined | ||

c. | 3, 4, 5 | ||

d. | 2, 3, 4 |

[Let the short leg of the right triangle =

[Use the Pythagorean theorem.]

[Use (

[Group the terms and simplify.]

(

[Factor.]

[Solve for

[The length of the side of a triangle cannot be negative.]

The sides of the right triangle are 3 units, 4 units, and 5 units.

Correct answer : (3)

5.

In a zoo, there are some apes. 6 apes are on the trees and the number of remaining apes is equal to the square of one-seventh of their total number. Choose the total number of apes from the following.

a. | 42 | ||

b. | 41 | ||

c. | 49 | ||

d. | 43 |

[Aanalyze the situation.]

[Let the total number of apes =

[Multiply each term with 49 and rearrange.]

(

[Factor.]

[Solve for

The number of apes in the forest is either 42 or 7.

Correct answer : (1)

6.

Find the rate of change of the linear function $y$ = 7$x$ + 10.

a. | 10 | ||

b. | - 10 | ||

c. | 7 | ||

d. | - 7 |

[The rate of change of the linear function

Correct answer : (3)

7.

Find the leading coefficient of the given function $f$ ($p$) = 29.

a. | 29 | ||

b. | 1 | ||

c. | 2 |

Here, the polynomial function is

[Rewrite

So, the leading coefficient of

Correct answer : (2)

8.

What is the lower bound of the correlation coefficient $r$?

a. | 1 | ||

b. | - 2 | ||

c. | - 1 |

Correct answer : (4)

9.

What is the upper bound the correlation coefficient $r$?

a. | 1 | ||

b. | 2 | ||

c. | -1 |

Correct answer : (1)

10.

Write the degree of the polynomial function $f$ ($v$) = 8$v$^{11} + 46.

a. | 11 | ||

b. | 8 | ||

c. | 13 |

So, the degree of the polynomial function

Correct answer : (1)

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