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# Mathematics Questions and Answers This document contains a series of multiple-choice questions related to mathematics, likely from a test or quiz. Here are the questions and answers (where possible) extracted from the image: **1. Domain and Range of a Function:** * **Question:** What is the do...

# Mathematics Questions and Answers This document contains a series of multiple-choice questions related to mathematics, likely from a test or quiz. Here are the questions and answers (where possible) extracted from the image: **1. Domain and Range of a Function:** * **Question:** What is the domain and range of the function y = 3x? * **Answers:** * A. D = {x|x ∈ R}, R = {yly ∈ R} * B. D = {x|x ∈ R}, R = {yly ≥ 1} * C. D = {x|x ≥ 3}, R = {yly ≥ 1} * D. D = {x|x ≥ 3}, R = {yly ≥ -1} **2. Possible x-values for a Function:** * **Question:** What is the set of all possible x-values that will make the function "work"? * **Answers:** * A. domain * B. function * C. range * D. slope **3. Definition of a Function:** * **Question:** What is a set of inputs and outputs, representing a relationship between two values? * **Answers:** * A. Ordered pair * B. function * C. Range * D. Domain **4. Cost of Items:** * **Question:** What is the equation for a total cost of 'a dozen of short pants (s) added to half a dozen of pajamas (p) greater than or equal to Php 960?** * **Answers:** * A. 12s + 6p = 960 * B. 12p + 6s = 960 * C. 12s - 6p = 960 * D. 12p - 6s = 960 **5. Founder of Cartesian Coordinates:** * **Question:** Who founded the Cartesian Coordinate Plane? * **Answers:** * A. Rene Einstein * B. Rene Descartes * C. Archimedes * D. None of these **6. Horizontal Line in Coordinates:** * **Question:** What do you call the horizontal line in the rectangular coordinate system? * **Answers:** * A. x-axis * B. origin * C. y-axis * D. coordinates **7. Distinguishing between Linear Equation and Linear Inequality:** * **Question:** Which symbol distinguishes between linear equations and inequalities? * **Answers:** * A. = * B. > * C. < * D. ≤ **8. Non-Linear Inequality Example:** * **Question:** Which of the following is not an example of a linear inequality in two variables? * **Answers:** * A. x = y * B. y < 2x + 4 * C. y > x - 1 * D. 2x - 3y ≤ 1 **9. What is the Square of 49?** * **Question:** What is the square of 49? * **Answers:** * A. 2401 * B. 1225 * C. 2500 * D. 7 **10. Standard Form of Linear Inequality:** * **Question:** Which of the following is _not_ the standard form of a linear inequality? * **Answers:** * A. Ax + By = C * B. Ax + By < C * C. Ax + By ≥ C * D. Ax + By > C **11. Number of Solutions to a Linear Inequality:** * **Question:** How many solutions does a linear inequality have? * **Answers:** * A. all points in the shaded area * B. One solution * C. all points * D. All of the above **12. Non-linear Inequality** * **Question:** Which of the following is *not* a linear inequality in two variables? * **Answers:** *A. 4a-3b = 5 *B. 7c + 4d > 12 *C. 3x + y ≤ 16 *D. 11 + 2t ≥ 3s **13-17. Additional Questions:** The document includes several more questions about mathematics concepts, including the definition of inequality models, symbols used in inequalities, identifying if an equation is linear or not. **Note:** Some of the answers are marked as possible options, but a correct answer key is needed to definitively identify the correct option for each question.