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Worksheets

General and Business Mathmetics

Total questions: 31

Worksheet time: 47mins

Name
Class
Date
1.
A function that is written in the form of ratio of two polynomials.
a)
Polynomial Function
b)
Rational Function
c)
Inverse Function
d)
Logarithmic Function
2.
An equation involving rational expressions.
a)
Rational Inequality
b)
Rational Expression
c)
Rational Function
d)
Rational Equation
3.
An inequality involving rational expressions.
a)
Rational Inequality
b)
Rational Expression
c)
Rational Function
d)
Rational Equation
4.
An expression that can be written as a ratio of two polynomials.
a)
Rational Inequality
b)
Rational Expression
c)
Rational Function
d)
Rational Equation
5.

The image is an example of _____.

a)

Rational Inequality

b)

Rational Function

c)

Rational Equation

d)

None of these

6.

The image is an example of ______.

a)

Rational Inequality

b)

Rational Function

c)

Rational Equation

d)

None of these

7.
Determine whether the given is a rational function, a rational equation, a rational inequality, or none of these.
a)
Rational Inequality
b)
Rational Function
c)
Rational Equation
d)
None of these
8.

Find the critical values of x5x+90\frac{x-5}{x+9}\ge0 .

a)

x=5 , x9x=-5\ ,\ x\ne9

b)

x=5 , x 9x=5\ ,\ x\ \ne-9

c)

x =9 , x5x\ =-9\ ,\ x\ne5

d)

x9 , x=5x\ne9\ ,\ x=5

9.

Plot the critical values of x5x+90\frac{x-5}{x+9}\ge0 .

a)

b)

c)

d)

10.

Find the critical values of x3x+7>0\frac{x-3}{x+7}>0 .

a)

x=3 , x7x=3\ ,\ x\ne-7

b)

x3 , x =7x\ne3\ ,\ x\ =-7

c)

x =3 , x7x\ =-3\ ,\ x\ne7

d)

x3 , x=7x\ne-3\ ,\ x=7

11.

Plot the critical values of x3x+7>0\frac{x-3}{x+7}>0 .

a)

b)

c)

d)

12.
What is the LCD of x, 2x, 3?
a)

xx

b)

66

c)

6x6x

d)

6x26x^2

13.
What is the LCD of x+1 and x-3?
a)
(x+1)(x-3)
b)
(x+1)(x+3)
c)
(x-1)(x-3)
d)
(x-1)(x+1)
14.
A type of function that only have inverses.
a)

one-to-many

b)

one-to-one

c)

many-to-one

15.

A function is one-to-one if it satisfy the (a)   .

16.

A relation is a function if it satisfy the (a)   .

17.

Which graph shows one-to-one? Select all that apply.

a)
b)
c)
d)

18.

Which relation pairs shows one-to-one? Select all that apply.

a)

Pairing individuals to its cell phone numbers.

b)

Reference number to bills.

c)

Books to authors.

d)

Individuals and its fingerprint.

19.

What is the inverse of f(x)=3x7f\left(x\right)=3x-7 ?

a)

f1(x)=x73f^{-1}\left(x\right)=\frac{x-7}{3}

b)

f1(x)=x+73f^{-1}\left(x\right)=\frac{x+7}{3}

c)

f1(x)=x37f^{-1}\left(x\right)=\frac{x-3}{7}

d)

f1(x)=x+37f^{-1}\left(x\right)=\frac{x+3}{7}

20.

What is the inverse of f(x)=3x4f\left(x\right)=\frac{3}{x-4} ?

a)

f1(x)=4x+3f^{-1}\left(x\right)=\frac{4}{x}+3

b)

f1(x)=4x3f^{-1}\left(x\right)=\frac{4}{x}-3

c)

f1(x)=3x+4f^{-1}\left(x\right)=\frac{3}{x}+4

d)

f1(x)=3x4f^{-1}\left(x\right)=\frac{3}{x}-4

21.

A bank offers 3% annual simple interest for a particular deposit. How much interest will be earned if Php 75,000 is deposited in this savings account for 2 year?

**Type this to your answer: An interest of Php (a)   will be earned.

22.

How much interest is charged when Php 25,000 is borrowed for 5 years at an annual interest rate of 3.5%?

**Type in this way to accept your answer: It was charged an interest of Php (a)   .

23.

A loan of Php 7,000 was repaid at the end of 6 months with a check for Php 7,700. What annual rate of interest was charged?

**Type in this way to accept your answer: The annual rate of interest charged was (a)   %.

24.

If an investment company pays 2.3%, how much should you deposit now to have Php 15,000 7 years from now?

**Type in this way to accept your answer: I should deposit Php (a)   .

25.

What will a Php 510,000 house cost 5 years from now if the inflation rate over that period averages 4% compounded annually?

**Type in this way to accept your answer: Five years from now, the house will cost Php (a)   .

26.

A newborn child receives a Php 50,000 gift toward a college education from her grandparents. How much will the Php 50,000 be worth in 20 years if it is invested at 9% compounded annually?

**Type in this way to accept your answer: The Php 50,000 will worth Php (a)   in 20 years.

27.

If you borrow Php 5,000 at 12% for 7 months compound annually, how much will you owe in 7 months? How much interest will you pay?

**Type in this way to accept your answer: I will owe Php ____ in 7 months and the compound interest is Php _____.

(a)  

28.

Money lent specifically for a business purpose. It may be used to start a business or to have a business expansion.

(a)  

29.

Money lent to an individual for a personal or family purpose.

(a)  

30.

Assets used to secure the loan. It may be real-estate or other investments.

(a)  

31.

If a car loan of Php 990,000 requires a 30% down payment. How much is the mortgage?

**Type in this way to accept your answer: The mortgage amount is Php (a)   .