Free Printable Mastery Test

1.

In evaluating functions the expression

f\left(x\right)

is considered as an ____________________.

a)

input

b)

abscissa

c)

output

d)

imaginary value

2.

What is the value of $g\left(-6\right)\ in\ the\ function\ g\left(x\right)=3x-3?$

a)

15

b)

-15

c)

21

d)

-21

3.

$If\ w\left(t\right)=-2t+1,\ find\ w\left(-7\right).$

a)

15

b)

-15

c)

13

d)

-13

4.

$If\ w\left(a\right)=a+3,\ find\ w\left(a+4\right).$

a)

$a+7$

b)

$a^2+7$

c)

$a+12$

d)

$a^2+12$

5.

$If\ g\left(a\right)=3^{3a-2},\ find\ g\left(1\right).$

a)

undefined

b)

0

c)

1

d)

3

6.

The 5 operations of functions are addition, subtraction, multiplication, division and (a) .

7.

Which of the following statements is correct?

a)

Any number divided by itself is equal to 1.

b)

Negative number divided by another negative number is equal to negative number.

c)

Any number divided by zero is undefined.

d)

A number divided by any number is always defined.

8.

Why is it that in the function of $\frac{f\left(x\right)}{p\left(x\right)},\ p\left(x\right)\ne0?$

a)

$If\ p\left(x\right)=0,\ the\ function\ will\ be\ undefined.$

b)

$If\ p\left(x\right)=0,\ the\ function\ will\ be\ \inf inite.$

c)

$If\ p\left(x\right)=0,\ f\left(x\right)=1$

d)

$If\ p\left(x\right)=0,\ the\ function\ is\ zero.$

9.

$If\ g\left(a\right)=-3a-3\ \ and\ \ f\left(a\right)=a^2+5$ ,find $\left(g+f\right)\left(a\right).$

a)

$a^2+3a+2$

b)

$a^2-3a+2$

c)

$a^2-3a-8$

d)

$a^2-3a+8$

10.

$If\ g\left(x\right)=-x^2-1-2x\ and\ f\left(x\right)=x+5$ , find
$\left(g-f\right)\left(x\right).$

a)

$-x^2-3x-6$

b)

$x^2-3x-6$

c)

$x^2+3x+6$

d)

$x^2+3x-6$

11.

$If\ f\left(x\right)=3x-1\ \ and\ \ g\left(x\right)=x^2-x$ ,
find $\left(\frac{f}{g}\right)\left(x\right).$

a)

$\frac{2}{x-1}$

b)

$\frac{x^2-x}{3x-1}$

c)

$\frac{3x-1}{x^2-x}$

d)

undefined

12.

$g\left(a\right)=2a-1\ \ \ and\ \ h\left(a\right)=3a-3$
Find $\left(g\ \cdot\ h\right)\left(-4\right).$

a)

63

b)

-135

c)

135

d)

-63

13.

$g\left(x\right)=2x-5\ \ and\ \ h\left(x\right)=4x+5$
Find $g\left(3\right)-h\left(3\right).$

a)

-16

b)

16

c)

17

d)

-17

14.

$f\left(x\right)=2x^3-5x^2\ \ \ and\ \ \ g\left(x\right)=2x-1$
Find $\left(f\ \ \cdot\ g\right)\left(x\right)$

a)

$2x^3-12x^2+5x$

b)

$4x^4-12x^3+5x^2$

c)

$4x^4-12x^3-5x^2$

d)

$-4x^4-12x^3-5x^2$

15.

$f\left(n\right)=2n\ \ \ and\ \ \ g\left(n\right)=-n-4\$
Find $\left(f\ o\ g\right)\left(n\right)$

a)

$-2n-8$

b)

$-2n+8$

c)

$2n+8$

d)

$2n-8$

16.

Which of the following is a rational equation?

a)

$x+4=5$

b)

$x^2+2x+1=0$

c)

$\sqrt{x+4}=45$

d)

$\frac{1}{x}=\frac{6}{5x}+1$

17.

What is the least common denominator (LCD) for all terms of the rational equation
$\frac{1}{n^2}+\frac{1}{n}=\frac{1}{2n^2}$ ?

a)

$2n^2$

b)

$2n^4$

c)

$n^2$

d)

$n$

18.

What is the LCD of this rational equation,
$\frac{n+5}{n+8}=1+\frac{6}{n+1}$ ?

a)

$n+8$

b)

$n+1$

c)

$\left(n+8\right)\left(n+1\right)$

d)

$\left(n+5\right)\left(n+8\right)$

19.

$\frac{1}{n^2}+\frac{1}{n}=\frac{1}{2n^2}$ , Solve for n.

a)

$-\frac{1}{2}$

b)

$\frac{3}{2}$

c)

$\frac{1}{2}$

d)

$-\frac{3}{2}$

20.

$\frac{1}{6b^2}+\frac{1}{6b}=\frac{1}{b^2}$ , Solve for b.

a)

5

b)

6

c)

7

d)

8

21.

$\frac{r+5}{r^2-2r}-1=\frac{1}{r^2-2r}$ , Solve for r.

a)

$-4\ \ and\ \ 1$

b)

$4\ \ and\ \ 1$

c)

$-4\ \ and\ \ -1$

d)

$4\ \ and\ -1$

22.

$1=\frac{v+2}{v-4}+\frac{7v-42}{v-4}$ , solve for v.

a)

36

b)

$\frac{36}{7}$

c)

$-\frac{36}{7}$

d)

-36

23.

Perform the indicated operation:

$g\left(a\right)=a^3+5a^2\ \ \ \ and\ \ \ \ f\left(a\right)=2a+4$

Find

g\left(3\right)+f\left(3\right).

a)

82

b)

72

c)

62

d)

92

24.

$f\left(x\right)=4x+2\ \ \ and\ \ \ g\left(x\right)=x^2+2x$

Perform the indicated operation:

Find $f\left(x\right)\div g\left(x\right)$

a)

$\frac{4x+2}{x^2+2x}$

b)

$\frac{x+2}{2x+1}$

c)

$\frac{x^2+2x}{4x+2}$

d)

$\frac{x+1}{x+2}$

25.

$g\left(x\right)=-x+5\ \ and\ \ f\left(x\right)=2x-3,\ \$
find $\left(g\ o\ f\right)\left(x\right).$

a)

$-2x+8$

b)

$2x+8$

c)

$-x+8$

d)

$x-8$

26.

What is the number of compounding periods when it is compounded monthly? (Note: Answer should be in numeric)

(a)

27.

What is the number of compounding periods if the interest rate compounded semiannually? (Numeric answer)

(a)

28.

What is the number of compounding periods if the interest rate compounded yearly? (Numeric answer)

(a)

29.

What is the decimal form of an interest rate of 8.75%?

(a)

30.

What is the decimal form of an interest rate of 20%?

(a)

31.

Use simple interest to find the ending balance or total amount of money in this problem, Php34,100.00 at 4% for 3 years. (Note: Label your answer with Php)

(a)

32.

Find the simple interest of this problem, Php1,900.00 at 5.9% for 2 ¾ years. (Round off your answer to two decimals)

(a)

33.

Derek deposited Php3,000 in a simple interest account 3 years ago. He has earned Php360.00 in interest so far. What is the interest rate for his account? (NOTE: Answer should be in percent %)

(a)

34.

If you deposit Php4,000 into an account paying 6% annual interest compounded quarterly, how much money will be in the account after 5 years? (Label your answer with Php)

(a)

35.

If you deposit Php6,500 into an account paying 8% annual interest compounded monthly, how much money will be in the account after 7 years? (Label your answer with Php)

(a)

36.

How much money would you need to deposit today at 12% annual interest compounded monthly to have Php20,000 in the account after 6 years? (Label your answer with Php and round off to 2 decimals)

(a)

37.

What principal will amount to Php3,000 if invested at 3% interest compounded semiannually for 10 years? (Label your answer with Php)

(a)

38.

If you deposit Php20,000 into an account paying 15% annual interest compounded quarterly, how long until there is Php100,000 in the account? (Answer should be in 1 decimal point and label it with years, example 5.5 years)

(a)

39.

If you deposit Php5,000 into an account paying 12% annual interest compounded quarterly, how long until there is Php50,000 in the account? (Answer should be in 1 decimal point and label it with years, example 5.5 years)

(a)

40.

If you deposit Php6,000 into an account paying 9.25% annual interest compounded semiannually, how long until there is Php20,000 in the account? (Answer should be in 1 decimal point and label it with years, example 5.5 years)

(a)

Mastery Test

Total questions: 40

Worksheet time: 1hrs 2mins

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