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Practice Exam in General Mathematics — Multiple Choice

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

What is an equation?

a)

A number sentence without equality

b)

A statement showing two expressions are equal

c)

A comparison of two numbers

d)

A mathematical operation

2.

Which of the following is an example of an equation?

a)

5 + 7

b)

x − 3

c)

2a = 10

d)

4x + 9

3.

Which property of equality allows adding the same number to both sides of the equation?

a)

Addition Property of Equality

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

4.

What is the solution of the equation x − 3 = 12?

a)

9

b)

15

c)

15

d)

18

5.

What is the solution of y + 7 = 4?

a)

11

b)

3

c)

−11

d)

−3

6.

What happens when both sides of an equation are multiplied by the same nonzero number?

a)

The equation changes

b)

The equation remains equal

c)

The variable disappears

d)

The result is undefined

7.

The equation 3x = 12 is solved by which operation?

a)

Addition

b)

Division

c)

Subtraction

d)

Multiplication

8.

Which property of equality is used when both sides of the equation are divided by the same number?

a)

Subtraction Property

b)

Division Property of Equality

c)

Multiplication Property

d)

Addition Property

9.

If 5x + 2 = 17, what is the value of x?

a)

2

b)

3

c)

3

d)

4

10.

Which of the following statements is NOT an equation?

a)

4y − 7

b)

3x + 2 = 8

c)

a2=16a^2 = 16

d)

9 + m = 12

11.

What is the value of a3×a2a^3 \times a^2 ?

a)

a5a^5

b)

a6a^6

c)

a9a^9

d)

a1a^1

12.

What is (b^4)^2

a)

b6b^6

b)

b8b^8

c)

b10b^{10}

d)

b2b^2

13.

What is the simplified form of x7÷x3x^7 ÷ x^3 ?

a)

x10x^{10}

b)

x4x^4

c)

x2x^2

d)

x21x^{21}

14.

What is the value of any nonzero number raised to 0?

a)

1

b)

0

c)

The number itself

d)

Undefined

15.

Simplify (23)(24)(2^3)(2^4) .

a)

272^7

b)

2122^{12}

c)

212^1

d)

242^4

16.

Simplify i.

a)

m4n5m^4 n^5

b)

m2n6m^2 n^6

c)

m4n6m^4 n^6

d)

m6n9m^6 n^9

17.

Simplify (x3y2)(x2y5)(x^3 y^2)(x^2 y^5) .

a)

x5y7x^5 y^7

b)

x6y6x^6 y^6

c)

x5y10x^5 y^{10}

d)

x2y3x^2 y^3

18.

Simplify p8q5÷p3q2p^8 q^5 ÷ p^3 q^2 .

a)

p5q3p^5 q^3

b)

p11q7p^{11} q^{7}

c)

p2q7p^2 q^7

d)

p4q2p^4 q^2

19.

Simplify (a4b2/ab3)2(a^4 b^2 / a b^3)^2 .

a)

a8b−2a^8 b^{-2}

b)

a6b4a^6 b^4

c)

a4b2a^4 b^2

d)

a2b3a^2 b^3

20.

If (3x2y−3)3(3x^2y^{-3})^3 is simplified, what is the result?

a)

3x6y−93 x^6 y^{-9}

b)

27x6y−927 x^6 y^{-9}

c)

9x3y−69 x^3 y^{-6}

d)

27x3y−927 x^3 y^{-9}

21.

Which of the following is an exponential function?

a)

y = 3x + 5

b)

y=4x−2y = 4^x - 2

c)

y=x4+2y = x^4 + 2

d)

y=2x2y = 2x^2

22.

What is the base in the exponential function y=100ty = 100^t ?

a)

1.2

b)

100

c)

t

d)

0.2

23.

Which of the following is not an exponential expression?

a)

5x5^x

b)

i

c)

x3x^3

d)

102x10^{2x}

24.

Which expression represents an exponential inequality?

a)

3x+1=273^{x+1} = 27

b)

5x≤1255^x \leq \frac{1}{25}

c)

y=4x−1y = 4^x - 1

d)

x2>9x^2 > 9

25.

Which equation is an exponential equation?

a)

y = 2x + 5

b)

2x=82^x = 8

c)

x2=16x^2 = 16

d)

3x = 9

26.

Determine the type of expression: 8x>308^x > 30 .

a)

Exponential expression

b)

Exponential inequality

c)

None of these

d)

Exponential function

27.

Which of the following best describes f(x)=2+3xf(x) = 2 + 3^x ?

a)

Linear function

b)

Exponential function

c)

Quadratic function

d)

Exponential equation

28.

Identify the type of statement: i.

a)

Exponential equation

b)

Exponential expression

c)

Exponential inequality

d)

None of these

29.

What type of equation is 103x+2=(2x)(5x)10^{3x+2} = (2^x)(5^x) ?

a)

Exponential expression

b)

Exponential function

c)

Exponential equation

d)

None of these

30.

Determine the type of function: f(x) = (1/2)x+1(1/2)^{x+1} − 3.

a)

Exponential function

b)

Exponential inequality

c)

Exponential equation

d)

None of these

31.

What does the symbol P represent in the simple interest formula?

a)

Principal

b)

Percentage

c)

Profit

d)

Payment

32.

Which of the following is the correct formula for simple interest?

a)

I = P + r + t

b)

I = Prt

c)

I = P − rt

d)

I = Pr/t

33.

In a simple interest problem, t represents what quantity?

a)

Total money

b)

Time

c)

Tax

d)

Term interest

34.

If ₱10,000 is deposited at 5% simple interest for 2 years, how much is the interest?

a)

₱1,000

b)

₱500

c)

₱800

d)

₱1,200

35.

What is the maturity value in a simple interest transaction?

a)

The amount borrowed

b)

The total of principal and interest

c)

The term

d)

The interest only

36.

A person borrowed ₱5,000 at 6% simple interest for 3 years. How much interest will he pay?

a)

₱600

b)

₱750

c)

₱900

d)

₱1,000

37.

Convert 0.04 to percent.

a)

0.4%

b)

4%

c)

40%

d)

400%

38.

If the interest rate is given per month, what must the time t be expressed in?

a)

Days

b)

Years

c)

Months

d)

Weeks

39.

Find the interest earned on ₱12,000 at 5% simple interest for 9 months.

a)

₱300

b)

₱450

c)

₱262.50

d)

₱600

40.

A ₱3,000 loan bears 2% interest per month and is paid after 4 months. What is the interest?

a)

₱200

b)

₱180

c)

₱240

d)

₱300

41.

A loan of ₱3,000 has an annual rate of 4% for 72 days (using 360-day year). What is the interest?

a)

₱24

b)

₱36

c)

₱48

d)

₱60

42.

Find the simple interest on ₱8,000 at 4% per year for 1 year.

a)

₱200

b)

₱300

c)

₱320

d)

₱400

43.

If ₱15,000 earns ₱2,250 in 3 years, find the rate of interest.

a)

4%

b)

5%

c)

6%

d)

7%

44.

John invested ₱12,000 at 4% simple interest and earned ₱1,920. How long was the money invested?

a)

3 years

b)

4 years

c)

5 years

d)

6 years

45.

A principal of ₱25,000 earned ₱3,750 as interest in 3 years. What is the rate?

a)

3%

b)

4%

c)

5%

d)

6%

46.

₱40,000 earned ₱8,000 interest in 4 years. Find the rate of interest.

a)

4%

b)

5%

c)

6%

d)

8%

47.

John invested ₱12,000 at 4% simple interest and earned ₱1,920. How long was the money invested?

a)

3 years

b)

4 years

c)

5 years

d)

6 years

48.

A principal of ₱25,000 earned ₱3,750 as interest in 3 years. What is the rate?

a)

3%

b)

4%

c)

5%

d)

6%

49.

₱40,000 earned ₱8,000 interest in 4 years. Find the rate of interest.

a)

4%

b)

5%

c)

6%

d)

8%

50.

A man invested ₱18,000 at 6% simple interest and earned ₱5,400. How long was the money invested?

a)

3 years

b)

4 years

c)

5 years

d)

6 years