Question
graphing liners equatinos unit test
Answers
GPT-4o mini
Creating a unit test on graphing linear equations involves various aspects such as understanding the slope-intercept form, point-slope form, and calculating points and intersections. Below are sample questions that you can use for a unit test on graphing linear equations.
### Unit Test: Graphing Linear Equations
**Name: ______________________ Date: _______________**
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#### Part A: Multiple Choice (2 points each)
1. What is the slope of the line represented by the equation \( y = 3x + 4 \)?
a) 3
b) 4
c) -3
d) -4
2. Which of the following represents the y-intercept of the equation \( y = -2x + 5 \)?
a) -2
b) 5
c) 2
d) -5
3. The slope of a line that passes through the points (2, 3) and (5, 6) is:
a) 1
b) 2
c) 0.33
d) 3
4. Which equation represents a line parallel to the line \( y = 4x + 1 \)?
a) \( y = -4x + 1 \)
b) \( y = 4x - 2 \)
c) \( y = 2x + 3 \)
d) \( y = 0.25x + 4 \)
---
#### Part B: Short Answer (4 points each)
5. Write the equation of a line in slope-intercept form that has a slope of -1 and passes through the point (0, 2).
**Answer:** ____________________________________________________
6. Convert the equation \( 3x + 2y = 12 \) into slope-intercept form.
**Answer:** ____________________________________________________
---
#### Part C: Graphing (6 points each)
7. Graph the equation \( y = \frac{1}{2}x - 3 \). Be sure to label the y-intercept and one additional point on the line.
**(Draw the graph here.)**
**Y-intercept:** ___________
**Other Point:** ___________
8. Graph the equation \( y - 1 = 3(x + 2) \). Ensure that you label your axes and identify at least two points on the line.
**(Draw the graph here.)**
**Points:** ___________ and ___________
---
#### Part D: Word Problem (10 points)
9. A movie theater charges $10 per ticket. Let \( x \) represent the number of tickets sold, and \( y \) represent the total revenue. Write the equation that models the relationship between the number of tickets sold and total revenue. Then, determine how much revenue is generated when 120 tickets are sold.
**Equation:** _______________________________________________
**Revenue when 120 tickets are sold:** _________________________
---
### Scoring Instructions:
- Multiple Choice: 2 points each
- Short Answer: 4 points each
- Graphing: 6 points each (3 points for correct graph, 3 points for points and labels)
- Word Problem: 10 points
**Total Points: 50**
---
Feel free to modify this template according to your specific needs or curriculum guidelines!
### Unit Test: Graphing Linear Equations
**Name: ______________________ Date: _______________**
---
#### Part A: Multiple Choice (2 points each)
1. What is the slope of the line represented by the equation \( y = 3x + 4 \)?
a) 3
b) 4
c) -3
d) -4
2. Which of the following represents the y-intercept of the equation \( y = -2x + 5 \)?
a) -2
b) 5
c) 2
d) -5
3. The slope of a line that passes through the points (2, 3) and (5, 6) is:
a) 1
b) 2
c) 0.33
d) 3
4. Which equation represents a line parallel to the line \( y = 4x + 1 \)?
a) \( y = -4x + 1 \)
b) \( y = 4x - 2 \)
c) \( y = 2x + 3 \)
d) \( y = 0.25x + 4 \)
---
#### Part B: Short Answer (4 points each)
5. Write the equation of a line in slope-intercept form that has a slope of -1 and passes through the point (0, 2).
**Answer:** ____________________________________________________
6. Convert the equation \( 3x + 2y = 12 \) into slope-intercept form.
**Answer:** ____________________________________________________
---
#### Part C: Graphing (6 points each)
7. Graph the equation \( y = \frac{1}{2}x - 3 \). Be sure to label the y-intercept and one additional point on the line.
**(Draw the graph here.)**
**Y-intercept:** ___________
**Other Point:** ___________
8. Graph the equation \( y - 1 = 3(x + 2) \). Ensure that you label your axes and identify at least two points on the line.
**(Draw the graph here.)**
**Points:** ___________ and ___________
---
#### Part D: Word Problem (10 points)
9. A movie theater charges $10 per ticket. Let \( x \) represent the number of tickets sold, and \( y \) represent the total revenue. Write the equation that models the relationship between the number of tickets sold and total revenue. Then, determine how much revenue is generated when 120 tickets are sold.
**Equation:** _______________________________________________
**Revenue when 120 tickets are sold:** _________________________
---
### Scoring Instructions:
- Multiple Choice: 2 points each
- Short Answer: 4 points each
- Graphing: 6 points each (3 points for correct graph, 3 points for points and labels)
- Word Problem: 10 points
**Total Points: 50**
---
Feel free to modify this template according to your specific needs or curriculum guidelines!