Free Printable 2021 DMV Grade 11 Individual Quiz

1.

Which of the following is a rational function?

a)

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

b)

$f(x)=\frac{1}{x}$

c)

$\frac{2x}{x-5}$

d)

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

2.

All are rational inequality except?

a)

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

b)

$f(x)\le\frac{1}{x}$

c)

$2x<3x−5$

d)

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

3.

The inverse of $f(x)=\frac{3x}{x-4}$ is

a)

$f^{-1}(x)=\frac{x-4}{3x}$

b)

$f^{-1}(x)=\frac{x-3}{4x}$

c)

$f^{-1}(x)=\frac{4x}{x-3}$

d)

$f^{-1}(x)=\frac{3x}{4x+3}$

4.

The domain of $h(x)=\frac{x+3}{x-5}$ is?

a)

$\left\{x∈R│x=-5\right\}$

b)

$\left\{x∈R│x\ne3\right\}$

c)

$\left\{x∈R│x\ne5\right\}$

d)

$\left\{x∈R│x=5\right\}$

5.

Which graph shows a one-to-one function?

a)

b)

c)

d)

6.

Let $f$ be $\left\{(4,11),\ (3,-5),\ (2,-3),\ (1,12),\ (0,-7)\right\}$ . Which of the following is $f^{-1}$ ?

a)

$\left\{(-11,-4),\ (5,-3),\ (3,-2),\ (-12,1),\ (7,0)\right\}$

b)

$\left\{(-4,11),\ (-3,5),\ (-2,3),\ (-1,-12),\ (0,7)\right\}$

c)

$\left\{(4,11),\ (3,-5),\ (2,-3),\ (1,12),\ (0,-7)\right\}$

d)

$\left\{(11,4),\ (-5,3),\ (-3,2),\ (12,1),\ (-7,0)\right\}$

7.

Let $g(x)=10^x-3$ , the domain of the function is?

a)

$\left\{x∈R\right\}$

b)

$\left\{x∈R│x=-3\right\}$

c)

$\left\{x∈R│x=10\right\}$

d)

none of the choices

8.

What is the range of the exponential function $g(x)=10^x-3$ ?

a)

$\left\{y∈R│y=-3\right\}$

b)

$\left\{y∈R\right\}$

c)

$\left\{y∈R|y>-3\right\}$

d)

$\left\{y∈R|y<-3\right\}$

9.

Which of the following represent an exponential function?

a)

$3^4x=2x$

b)

$4(5^{x-2})=500$

c)

$8<64^{2x+5}$

d)

$y=0.5^{2x-1}$

10.

The value of x in $\log_{81}x=\frac{1}{2}$ is?

a)

$81$

b)

$9$

c)

$\frac{1}{2}$

d)

$2$

11.

The following are the characteristics of a simple interest except:

a)

Wealth growth is comparatively lower.

b)

Principal never changes with increased tenure.

c)

Levied on the loan amount and accumulated interest.

d)

A small percentage of the principal as agreed between lender and borrower.

12.

The formula in computing the compound interest is

a)

$A=P(1+\frac{r}{k})^{kt}$

b)

$A=P(1+\frac{k}{r})^{kt}$

c)

$A=P(1+\frac{r}{k})^{rt}$

d)

$A=P(1+\frac{r}{k})^t$

13.

The sum of all the payments on an annuity (including the interests) at the end of the last interest conversion period is called ____________ of annuity.

a)

Present value

b)

Future value

c)

General annuity

d)

Simple annuity

14.

If $y=3x-7$ and $\left\{x\ :-3\le x\le7\right\}$ , find the range of $y$ .

a)

$-3\le y\le14$

b)

$-16\le y\le7$

c)

$-16\le y\le-3$

d)

$-16\le y\le14$

15.

A friend asks to borrow Php 10 000 and agrees to repay it in 30 days with 3% interest. How much interest will you earn?

a)

13 000

b)

10 300

c)

10 000

d)

300

16.

Find the value of $3^{4x}$ when $9^x=5$ .

a)

$25$

b)

$27$

c)

$35$

d)

$45$

17.

Find the domain of the function $f\left(x\right)=\sqrt[]{3x+5}$ .

a)

all real numbers

b)

$x>0$

c)

$x\ge-\frac{5}{3}$

d)

$x\le\frac{5}{3}$

18.

Let p be the statement "It rains." Let q be the statement "I stay home.” What is the symbol of “If I don't stay home, then it doesn't rain”

a)

$p→q$

b)

$q→p$

c)

$\sim p→\sim q$

d)

$\sim q→\sim p$

19.

Given the table, find $(f\ \circ\ g)(2)$ .

a)

$6$

b)

$5$

c)

$3$

d)

$2$

20.

This is a set of propositions formed by premises supporting the conclusion.

a)

Fallacy

b)

contradiction

c)

tautology

d)

argument

2021 DMV Grade 11 Individual Quiz - PART 1

Total questions: 20

Worksheet time: 10mins

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