Free Printable General Mathematics Pre-Test

1.

Which of the following correspondence is a function?

I. One to one II. One to many III. Many to one

a)

I only

b)

II and III

c)

II only

d)

I and III

2.

Which of the following is NOT a function?

a)

The rule that assigns the name of the school to each student.

b)

The rule that assigns to each person his/her surname.

c)

The rule that assigns to each person his/her mobile number

d)

The rule that assigns to each child his/her mother.

3.

Which among the relations is NOT a function?

a)

{(0, 5), (0, 4), (4, 0), (5, 0)}

b)

{(–2, 5), (0, 5), (2, 5), (4, 5)}

c)

{(–3, 2), (–2, 5), (–1, 8), (3, 2)}

d)

{(8, 0), (7, 0), (6, 0), (9, 0)}

4.

Which of the following mapping diagrams represent a function?

a)

b)

c)

d)

5.

Which of the following graphs does not belong to the group?

a)

b)

c)

d)

6.

$In\ thefunction\ f\left(x\right)=2x,\ what\ is\ the\ value\ ofthe\ function\ ifx=0?$

a)

0

b)

1

c)

2

d)

4

7.

$Givenf(x)=x^{98}–\ x^{50}+1,\ what\ is\ f\left(-1\right)?$

a)

0

b)

1

c)

48

d)

148

8.

a)

$2x–6$

b)

$4x–4$

c)

$2x+6$

d)

$4x+4$

9.

a)

–4x–6

b)

$–2x–6$

c)

$4x+6$

d)

$2x+6$

10.

a)

3x²– 14x + 5

b)

3x² + 14x – 5

c)

3x² – 14x – 5

d)

3x – 14x² + 5

11.

a)

b)

c)

d)

12.

Given f(x) = x²+3x and g(x) = x-2, find and simplify (f ◦ g) (x).

a)

x²- x - 2

b)

x²- x + 2

c)

x²+ 3x - 2

d)

x²- 3x - 2

13.

If f(x) = x² + 3x and g(x) = x-2 , find and simplify (g ◦ g) (x).

a)

x

b)

x-4

c)

x-2

d)

x+4

14.

a)

rational function

b)

rational equation

c)

rational inequality

d)

rational expression

15.

Which of the following ordered pairs is NOT a solution to f(x) = x + 4?

a)

(0, 4)

b)

(-5, -1)

c)

(2, 6)

d)

(1, 2)

16.

What is the value of x in the equation $\frac{5}{2x}=\frac{5}{2}$ ?

a)

1

b)

2

c)

3

d)

4

17.

Determine the value of x in the equation $x-4\ =\ \frac{x}{3}$ .

a)

2

b)

4

c)

6

d)

8

18.

What is the symbol for the inverse of a function?

a)

$f^{\left(-1\right)}x$

b)

\frac{1}{f^{\left(-1\right)}}

c)

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

d)

$-f\left(x\right)$

19.

Which of the following is the test to determine if the graph is a one-to-one function?

a)

Plumb line test

b)

Diagonal line test

c)

Horizontal line test

d)

Overlapping line test

20.

What is the inverse of f(x) = 4x + 1?

a)

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

b)

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

c)

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

d)

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

21.

What is the inverse of {(0, 2), (3, 5), (1, 6)}?

a)

{(0, 2), (3, 5), (1, 6)}

b)

{(2, 0), (5, 3), (6, 1)}

c)

{0, 3, 1}

d)

{2, 5, 6}

22.

What is a function that can be expressed mathematically as f(x) =b ^x?

a)

Linear function

b)

Rational function

c)

Exponential function

d)

Inverse function

23.

Which of the following is exponential function?

a)

f(x) = 2^x

b)

2²(5 ^x+1) = 500

c)

625 > 5^x+ 8

d)

f(x) = 2x³

24.

Which of the following makes the asymptote of the graph of exponential function y = a^x, where a > 1?

a)

x – axis

b)

y – axis

c)

y = x

d)

y = 1

25.

The following are properties of exponential function , where b > 0 and b ≠ 1 that can be observed from the graph EXCEPT:

a)

The domain is the set of all real numbers

b)

The range is the set (0, +)

c)

It is a one-to-one function

d)

The y-intercept is 0.

26.

What is the common point of all the graphs of logarithmic function?

a)

(0, 0)

b)

(0, 1)

c)

(1, 0)

d)

(1, 1)

27.

What is the single logarithm of ½ log x – ¼ log y?

a)

b)

c)

d)

28.

a)

b)

c)

d)

29.

Which among the following is a logarithmic function?

a)

log_x2 = 4

b)

g(x)= log₃x

c)

lnx² > (ln x)²= 3

d)

log₂64 = 8

30.

What is the logarithmic form of the exponential equation 5³ = 125?

a)

log₅ 3 = 125

b)

log₃5 = 125

c)

log₅ 125 = 3

d)

log₃125 = 5

31.

Find the value of x of the function $3^{x+2}=27$

4 lines

32.

Find the value of x of the function $\log_3\left(3x-2\right)=2\$

4 lines

33.

Find the value of x of the function $3^x<9^{2-x}$

4 lines

General Mathematics Pre-Test

Total questions: 33

Worksheet time: 33mins

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