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# Algebra Questions and Answers ## I. Multiple Choice Questions **Question 11:** What is x - y - 5 in slope-intercept form? **Options:** a. y = x + 5 b. y = -x - 5 c. y = x - 5 d. y = -x + 5 **Answer:** d **Question 12:** Given y = -7x + 15, what is the standard form? **Options:** a. 7x + y...

# Algebra Questions and Answers ## I. Multiple Choice Questions **Question 11:** What is x - y - 5 in slope-intercept form? **Options:** a. y = x + 5 b. y = -x - 5 c. y = x - 5 d. y = -x + 5 **Answer:** d **Question 12:** Given y = -7x + 15, what is the standard form? **Options:** a. 7x + y = -15 b. 7x + y = 15 c. 7x - y = -15 d. 7x - y = 15 **Answer:** b **Question 13:** What makes $-3y^{2} = -2x - 11$ not a linear equation in two variables? **Options:** a. Its degree is not one. b. It is not written in standard form. c. It does not start with a positive term. d. Each of its terms has a negative sign. **Answer:** a **Question 14:** What is the slope of a line whose equation is given by 5y = 2x + 10? **Options:** a. $\frac{2}{5}$ b. $-\frac{2}{5}$ c. $\frac{5}{2}$ d. $-\frac{5}{2}$ **Answer:** a **Question 15:** What is the slope of a line that passes through the points (-1, 5) and (2, 6)? **Options:** a. $\frac{1}{3}$ b. $-\frac{1}{3}$ c. 3 d. -3 **Answer:** c ## II. Modified True or False Questions **Question 16:** In Quadrant III, the coordinates are both positive. **Answer:** FALSE. In Quadrant III, the coordinates are both **negative**. **Question 17:** A system of linear equations that has at least one solution is consistent. **Answer:** TRUE **Question 18:** A system of linear equations that does not have a solution is inconsistent. **Answer:** TRUE **Question 19:** In the equation Ax + By = C, c is the coefficients. **Answer:** FALSE. In the equation Ax + By = C, c is the **constant**. **Question 20:** In the equation y = mx + b, m is the slope. **Answer:** TRUE **Question 21:** Linear Equation is a set of two or more linear equations in two variables. **Answer:** TRUE **Question 22:** Elimination Method is a method to eliminate one of the variables in the equation to find the value of the other variable. **Answer:** TRUE **Question 23:** Substitution Method is a method by replacing the resulting expression to the other equation to solve for the other variable without changing the value of the original expression. **Answer:** TRUE **Question 24:** The ordered pair (2, 0) satisfies both equations (2x + y = 4; x - y = 2) **Answer:** TRUE **Question 25:** Point (0, 4) lies on the x-axis. **Answer:** FALSE. Point (0, 4) lies on the **y-axis**. ## III. Matching Type **Column A** | **Column B** ------- | -------- 26. Other term of x-coordinate | d. abscissa 27. Other term of y-coordinate | f. ordinate 28. Ax + By = C | g. standard form 29. y = mx + b | b. slope-intercept form 30. Solution of Dependent System | a. infinitely many solutions 31. Graph of Consistent and Independent | c. intersecting line 32. Graph of Consistent and Dependent | h. coinciding line 33. Graph of Inconsistent | j. parallel line 34. Slope-intercept form of x + y = 4 | i. y = x + 4 35. Slope intercept form of x - y = -4 | e. y = -x + 4