QUARTER 2 REVIEW

Which statement best describes the difference between a linear inequality and a linear equation in two variables?

• A linear equation represents a shaded region, while a linear inequality represents only points on a line.

• A linear equation represents a line, while a linear inequality represents a region or half-plane.

• A linear inequality has only one solution, while a linear equation has multiple solutions.

• Both linear equations and linear inequalities represent the same set of solutions.

Lance was asked to research relations and functions. Which of the following statements she researched are true?

I. Relation is a function III. All functions are relations.

II. Function is a relation IV. All relations are functions.

• II, III, and IV

• I and II

• II and III

• I only

A student wants to buy notebooks and pens for an event. Each notebook costs ₱50, and each pen costs ₱20. They have a budget of ₱500 and need at least twice as many pens as notebooks. Which system of inequalities represents these constraints, and what is the maximum number of notebooks they can buy while satisfying both conditions?

• 50x + 20y ≤ 500 and y ≥ 2x; maximum of 5 notebooks.

• 50x + 20y < 500 and y < 2x; maximum of 8 notebooks.

• 50x + 20y ≤ 500 and y ≤ 2x; maximum of 6 notebooks.

• 50x + 20y ≤ 500 and y = 2x; maximum of 7 notebooks.

Lara was solving function f(x) = 3x + 1. If she wants to find the range of all real numbers, then what should be the value/s of her domain?

• The value of the domain is the set of all real numbers.

• The value of her domain is 1.

• The value of the domain is all negative numbers.

• The value of the domain is positive and negative numbers.

23.

For the linear function f(x)=2x+3 which of the following statements correctly identifies the y-intercept, slope, and domain of the function?

• The y-intercept is 3, the slope is 2, and the domain is all positive real numbers.

• The y-intercept is 2, the slope is 3, and the domain is all real numbers.

• The y-intercept is 3, the slope is 2, and the domain is all integers.

• The y-intercept is 3, the slope is 2, and the domain is all real numbers.

18.

A relation between time and pay is an example of function, which of the following best describes the relation between time and pay?

• time is the independent variable

• time and pay are both independent variables

• time is the dependent variable, and pay is the independent variable

• time is the independent variable, and pay is the dependent variable

A researcher is studying the effect of hours studied on test scores in mathematics. Which variable is the independent variable, and which is the dependent variable?

• Hours studied is the dependent variable, and test scores are the independent variable because studying depends on test results.

• Hours studied is the independent variable, and test scores are the dependent variable because test scores are affected by the amount of time spent studying.

• Both hours studied and test scores are independent variables because they do not influence each other.

• Both hours studied and test scores are dependent variables because they are interrelated.

What is the hypothesis of the given statement “If we leave early, then we can catch the train”?

• We leave early.

• We can catch the train.

• We arrive at the station.

• We miss the train.

Consider the statement: "If a person is a teacher, then they enjoy helping others." If it is observed that someone enjoys helping others, can we conclude that they are a teacher? Why or why not?

• No, because the conclusion does not imply the hypothesis in an if-then statement.

• No, because there are other reasons someone might enjoy helping others.

• Yes, because helping others is the defining trait of a teacher.

• Yes, because the conclusion supports the hypothesis.

“If Robby is hiking in Mount Pico De Loro, then he is in Nasugbu, Batangas.” Which of the following statements does NOT imply the same meaning?

• If Robby is not in Nasugbu, Batangas, then he is not hiking in Mount Pico De Loro.

• If Robby is not hiking in Mount Pico De Loro, then he may not be in Nasugbu, Batangas.

• Robby is in Nasugbu, Batangas if he is hiking in Mount Pico De Loro.

• If Robby is hiking in Mount Pico De Loro, then he is in Batangas.