Mathematics Fourth Periodic Test

A school has 240 students in total. The number of boys is represented by x, and the number of girls is three times the number of boys. Which equation represents this situation, and how many boys are in the school?

• x + 3x = 240 , x=80

• x + 2x = 240, x=60

• x + 4x = 240, x=48

• x + x = 240, x= 80

Which of the following statements correctly distinguishes a variable from a constant in an algebraic expression?

• A variable has a fixed value, while a constant can change.

• A variable represents an unknown or changing value, while a constant has a fixed value.

• Both variables and constants can change their values.

• A constant is always represented by a letter, while a variable is always a number.

Liza is buying notebooks for her classmates. Each notebook costs p pesos, and she buys 4 more than twice the number of students (s) in her class. The total cost is represented by C = p(2s + 4). If there are 15 students in her class and each notebook costs ₱25, how much does she spend in total?

• ₱700

• ₱800

• ₱900

• ₱1,000

Ramon is saving money. He already has "a" pesos and saves 2b pesos more each week. If he saved for 3 weeks, which of the following expressions represents the total amount he has now? If ₱a = ₱100 and ₱b = ₱20, how much does he have?

• 100

• 220

• 220 + a

• 220 + 100

A rectangular garden has a length that is twice its width. The width is represented by w. The expression for the perimeter of the garden is 6w. If the width is 5 meters, what is the perimeter?

• 10 meters

• 20 meters

• 30 meters

• 40 meters

A bus charges passengers based on the number of kilometers traveled. The fare is computed using the formula F = 10 + 5k, where k is the number of kilometers traveled. If Ryan traveled 8 kilometers, how much did he pay?

• 40 pesos

• 45 pesos

• 50 pesos

• 55 pesos

Which algebraic expression best represents "five times a number, decreased by seven"?

• 5x+7

• 5x−7

• 7−5x

• x−5

A father is three times as old as his son. If the son's age is represented by s, which expression represents the father's age?

• s + 3

• 3s

• s-3

• S3

The sum of twice a number and nine is equal to the difference between the number and five. Which equation represents this relationship?

• 2x + 9 = x -5

• x+2=9−5

• 2(x+9)=x−5

• x−9=2x+5

Which property of equality states that if a=b, then b=a?

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution Property