WESTERN MINDANAO STATE UNIVERSITY

IPIL EXTERNAL CAMPUS

PUROK CORAZON, IPIL HEIGHTS, IPIL, ZAMBOANGA SIBUGAY
MATHEMATICS IN THE MODER WORLD (MMW)
MATH 100
2ND SEMESTER

Name: Date:
Grade and Section: Score:

MULTIPLE-CHOICE (PRE-TEST)
Direction: Read the sentences carefully. Choose the letter of the correct answer and encircle it.

1. Which of the following situations best applies precision as a characteristic of mathematical language?
A) Explaining a concept using everyday language without mathematical symbols
B) Using the exact values and appropriate symbols when writing a mathematical expression
C) Guessing an answer without verifying calculations
D) Describing a mathematical process in general terms without examples

2. Which action demonstrates an analysis of consistency in mathematical language?

A) Identifying inconsistencies in notation or variable usage within a mathematical proof
B) Choosing different symbols for the same concept in a single solution
C) Ignoring differences in notation when reviewing mathematical work
D) Using multiple representations of the same concept without evaluating their coherence

3. Which of the following best illustrates the analysis of precision in mathematical language?
A) Identifying errors in a solution by examining the accuracy of symbols and values used
B) Memorizing mathematical formulas without checking their correctness
C) Using approximations instead of exact values in calculations
D) Writing mathematical expressions without verifying their logical structure

4. How can a student evaluate the clarity of a mathematical explanation?

A) By determining if the explanation follows a logical sequence and uses appropriate notation
B) By focusing only on the final result rather than the reasoning behind it
C) By rewriting the explanation in an informal way for better understanding
D) By removing detailed steps to make the solution shorter

5. Which of the following best evaluates the correctness of a mathematical argument based on precision?
A) Checking if all mathematical symbols and values are used accurately in the argument
B) Accepting the solution as correct without verifying calculations
C) Ignoring minor notation errors as long as the final answer is correct
D) Rewriting the solution in a simpler but less precise way

6. How can a student create an explanation that reflects clarity in mathematical language?
A) By organizing the explanation into distinct steps and using appropriate mathematical symbols
B) By combining all steps into one sentence without separating them
C) By omitting important reasoning to keep the explanation short
D) By using complex terminology without defining it clearly
7. Which of the following is a mathematical sentence rather than an expression?
A. 4x + 7
B. 3y – 5 = 10
C. 2(a + b) – 4
D. √9 + 5

8. A teacher writes the following on the board:

1. 5x + 3 2. 5x + 3 = 18
Which of the following statements correctly applies the difference between expressions and sentences?
A. Both are mathematical sentences.
B. Both are mathematical expressions.
C. The first is an expression, and the second is a sentence.
D. The first is a sentence, and the second is an expression.

9. Which of the following statements correctly identifies a key difference between a mathematical expression
and a sentence?
A. Expressions contain equal signs, whereas sentences do not.
B. Expressions can be simplified but not solved, while sentences can be solved for a variable.
C. A sentence consists of only numbers, whereas an expression contains variables.
D. Expressions always represent true statements, while sentences may be false.

10. Which of the following statements correctly evaluates why is a mathematical sentence rather than an
expression?
A. Because it includes an equal sign, making it a statement that can be true or false.
B. Because it contains variables, which means it cannot be evaluated.
C. Because it represents a question rather than a statement.
D. Because it is already simplified and does not need further evaluation.

11.A student claims that the mathematical expression can be solved. How would you evaluate this claim?
A. The claim is incorrect because expressions cannot be solved, only simplified.
B. The claim is correct because solving means simplifying.
C. The claim is incorrect because expressions contain only numbers, not variables.
D. The claim is correct because every mathematical statement can be solved.

12. If the expression 3y + 2 represents the cost of an item, which of the following creates a valid mathematical
sentence based on it?
A. 3y + 2
B. 3y + 2 > 10
C. 3y × 2
D. 3y + 2 - 5

13. What is the key difference between a mathematical expression and a mathematical sentence?
A. An expression contains variables, while a sentence contains only numbers.
B. A sentence includes a relational symbol like or , while an expression does not.
C. Expressions always have an equal sign, but sentences do not.
D. Sentences cannot be solved, but expressions can be solved.

14. What does the symbol ∑ represent in mathematical notation?

A. It represents the product of a sequence of numbers.
B. It indicates the sum of a sequence of numbers.
C. It means "approximately equal to."
D. It is used to denote factorials.
15.A teacher asks students to write the mathematical expression for "The sum of twice a number and five is
equal to 15."
Which of the following correctly follows mathematical notation conventions?
A. 2 + x + 5 = 15
B. 2x + 5 = 15
C. x² + 5 = 15
D. (2 + x) + 5 = 15

16. Which of the following mathematical expressions contains an incorrect use of symbols based on standard
conventions?
A. 3x + (2y – 5) = 10
B. (4 + 2] × 3 = 18
C. √(16) = 4
D. 5! = 5 × 4 × 3 × 2 × 1

17.A student simplifies the expression (8 + 2) ÷ 2 × 3 and gets 15 as the answer.

Which of the following best evaluates the student's solution?
A. The answer is correct because addition comes first, followed by division and multiplication.
B. The answer is incorrect because multiplication should come before division.
C. The answer is correct because operations were performed from left to right.
D. The answer is incorrect because division should be done before multiplication.

18. A student claims that |a - b| = b - a for all real numbers a and b.

How would you evaluate this claim?
A. The claim is correct because absolute value does not affect subtraction.
B. The claim is incorrect because absolute value makes the expression always positive.
C. The claim is correct only when a > b.
D. The claim is incorrect because absolute value is always negative.

19. A company determines that a product should be sold at a price p such that p ≤ 50 to remain competitive.
Which of the following correctly evaluates what this means?
A. The price must be strictly less than 50.
B. The price must be more than 50.
C. The price can be at most 50.
D. The price can be any number.

20. A factory must produce at least 500 units per day to meet demand. Which of the following correctly
represents this condition as an inequality?
A. x > 500
B. x ≥ 500
C. x ≤ 500
D. x ≠ 500
 WESTERN MINDANAO STATE UNIVERSITY
IPIL EXTERNAL CAMPUS
PUROK CORAZON, IPIL HEIGHTS, IPIL, ZAMBOANGA SIBUGAY
MATHEMATICS IN THE MODER WORLD (MMW)
MATH 100
2ND SEMESTER
Name: Date:
Grade and Section: Score:

MULTIPLE-CHOICE (POST-TEST)
Direction: Read the sentences carefully. Choose the letter of the correct answer and encircle it.
1. Which of the following mathematical expressions contains an incorrect use of symbols based on standard
conventions?
A. 3x + (2y – 5) = 10
B. (4 + 2] × 3 = 18
C. √(16) = 4
D. 5! = 5 × 4 × 3 × 2 × 1

2. A student simplifies the expression (8 + 2) ÷ 2 × 3 and gets 15 as the answer.

Which of the following best evaluates the student's solution?
A. The answer is correct because addition comes first, followed by division and multiplication.
B. The answer is incorrect because multiplication should come before division.
C. The answer is correct because operations were performed from left to right.
D. The answer is incorrect because division should be done before multiplication.

3. A student claims that |a - b| = b - a for all real numbers a and b.

How would you evaluate this claim?
A. The claim is correct because absolute value does not affect subtraction.
B. The claim is incorrect because absolute value makes the expression always positive.
C. The claim is correct only when a > b.
D. The claim is incorrect because absolute value is always negative.

4. A company determines that a product should be sold at a price p such that p ≤ 50 to remain competitive.
Which of the following correctly evaluates what this means?
A. The price must be strictly less than 50.
B. The price must be more than 50.
C. The price can be at most 50.
D. The price can be any number.

5. A factory must produce at least 500 units per day to meet demand. Which of the following correctly
represents this condition as an inequality?
A. x > 500
B. x ≥ 500
C. x ≤ 500
D. x ≠ 500

6. A student claims that the mathematical expression can be solved. How would you evaluate this claim?
A. The claim is incorrect because expressions cannot be solved; only simplified.
B. The claim is correct because solving means simplifying.
C. The claim is incorrect because expressions contain only numbers, not variables.
D. The claim is correct because every mathematical statement can be solved.
7. If the expression 3y + 2 represents the cost of an item, which of the following creates a valid mathematical
sentence based on it?
A. 3y + 2
B. 3y + 2 > 10
C. 3y × 2
D. 3y + 2 - 5

8. What is the key difference between a mathematical expression and a mathematical sentence?
A. An expression contains variables, while a sentence contains only numbers.
B. A sentence includes a relational symbol like or , while an expression does not.
C. Expressions always have an equal sign, but sentences do not.
D. Sentences cannot be solved, but expressions can be solved.

9. What does the symbol ∑ represent in mathematical notation?

A. It represents the product of a sequence of numbers.
B. It indicates the sum of a sequence of numbers.
C. It means "approximately equal to."
D. It is used to denote factorials.

10. A teacher asks students to write the mathematical expression for "The sum of twice a number and five is
equal to 15."
Which of the following correctly follows mathematical notation conventions?
A. 2 + x + 5 = 15
B. 2x + 5 = 15
C. x² + 5 = 15
D. (2 + x) + 5 = 15

11. Which of the following situations best applies precision as a characteristic of mathematical language?
A) Explaining a concept using everyday language without mathematical symbols
B) Using the exact values and appropriate symbols when writing a mathematical expression
C) Guessing an answer without verifying calculations
D) Describing a mathematical process in general terms without examples

12. Which action demonstrates an analysis of consistency in mathematical language?

A) Identifying inconsistencies in notation or variable usage within a mathematical proof
B) Choosing different symbols for the same concept in a single solution
C) Ignoring differences in notation when reviewing mathematical work
D) Using multiple representations of the same concept without evaluating their coherence

13. Which of the following best illustrates the analysis of precision in mathematical language?
A) Identifying errors in a solution by examining the accuracy of symbols and values used.
B) Memorizing mathematical formulas without checking their correctness
C) Using approximations instead of exact values in calculations
D) Writing mathematical expressions without verifying their logical structure

14. How can a student evaluate the clarity of a mathematical explanation?

A) By determining if the explanation follows a logical sequence and uses appropriate notation
B) By focusing only on the final result rather than the reasoning behind it
C) By rewriting the explanation in an informal way for better understanding
D) By removing detailed steps to make the solution shorter

15.Which of the following best evaluates the correctness of a mathematical argument based on precision?
A) Checking if all mathematical symbols and values are used accurately in the argument
B) Accepting the solution as correct without verifying calculations
C) Ignoring minor notation errors as long as the final answer is correct
D) Rewriting the solution in a simpler but less precise way
16. How can a student create an explanation that reflects clarity in mathematical language?
A) By organizing the explanation into distinct steps and using appropriate mathematical symbols
B) By combining all steps into one sentence without separating them
C) By omitting important reasoning to keep the explanation short
D) By using complex terminology without defining it clearly

17. Which of the following is a mathematical sentence rather than an expression?

A. 4x + 7
B. 3y – 5 = 10
C. 2(a + b) – 4
D. √9 + 5

18. A teacher writes the following on the board:

1. 5x + 3 2. 5x + 3 = 18

Which of the following statements correctly applies the difference between expressions and sentences?
A. Both are mathematical sentences.
B. Both are mathematical expressions.
C. The first is an expression, and the second is a sentence.
D. The first is a sentence, and the second is an expression.

19. Which of the following statements correctly identifies a key difference between a mathematical expression
and a sentence?
A. Expressions contain equal signs, whereas sentences do not.
B. Expressions can be simplified but not solved, while sentences can be solved for a variable.
C. A sentence consists of only numbers, whereas an expression contains variables.
D. Expressions always represent true statements, while sentences may be false.

20. Which of the following statements correctly evaluates why is a mathematical sentence rather than an
expression?
A. Because it includes an equal sign, making it a statement that can be true or false.
B. Because it contains variables, which means it cannot be evaluated.
C. Because it represents a question rather than a statement.
D. Because it is already simplified and does not need further evaluation.