Chapter 7 Practice Test Questions
Practice Test 1
In which quadrant is each point located?
1. (2, 9)
2. (-3, - 5 )
Determine whether the given point is a solution of 3x + 2y = 6.
3. (0, 3)
4. (4, -3)
Make a table of solutions and graph each equation.
5. y = 2 x + 3
6. x + y = 6
7. Graph using intercepts. 2x + 5y = 10
Find the slopes, if they exist, of the lines containing these points.
8. (1, 5) and (-2, 3)
9. (4, 8) and (-2, 8)
Use the equation y - 3x = 6.
10. Find the slope and y-intercept.
11. Graph the equation
12. Write an equation in slope-intercept form for the line with slope 1/2 that contains the point (4, 6).
13. Write an equation for the line containing the points (0, 6) and (-2, 10).
A temperature of 0°C equals 32"F, and 25°C equals 77°F.
14. Find a linear equation using (C, F) for these data points.
15. Use this equation to find the Fahrenheit temperature for 40°C.
16. Determine whether the graphs of y = 2x + 4 and x + 2y = 6 are parallel lines.
17. Determine whether the graphs of y = -2/3x and 3x – 2y = 6 are perpendicular lines.
Practice Test 2
In which quadrant is each point located?
1. (3, 1)
2. (-3, 2)
Determine whether the given point is a solution of 4x + 2y = 8.
3. (0, 4)
4. (-1, 2)
Graph each equation.
5. y = 2x + 1
6. 2x + y = 6
Find the slopes, if they exist, of the lines containing these points.
7. (-5, 4) and (1, -2)
8. (3, 2) and (-5 , 0)
Use the equation 2x = 7 - y.
9. Find the slope and y-intercept.
Graph the equation
11. Write an equation in slope-intercept form for the line with slope 3 that contains the point (3, -2).
12. Write an equation for the line containing the points (1, 3) and (-2, 1).
A cricket chirps 40 times (t) per minute when the temperature (F) is 50°F, and 120 times when the temperature is 70°F.
13. Find a linear equation using (t, F) for these data points.
14. Use this equation to find the temperature when a cricket chirps 80 times in one minute.
15. Determine whether the graphs of y - 4 = 5x and 2y = 4x + 6 are parallel lines.
16. Determine whether the graphs of 2/3x + y = 6 and 4y = 6x + 5 are perpendicular lines.
Practice Test 3
Work each question carefully. Then write the letter of the best answer choice in the answer column.
1. To plot the point (-7, 5), you would start at the origin and move
2. To plot the point (0, -5), you would start at the origin and move
3. In which quadrant is the point (3, - 2) located?
4. In which quadrant is the point (-9,-6) located?
5. The coordinates of point A on the graph at the right are
6. The coordinates of point B on the graph at the right are
7. Find the point that is a solution for -2y = - 3x + 6.
8. Find the point that is a solution for 6x + y = 8.
9. Find the x- and y-intercepts for the line whose equation is 5x = 3y + 15.
10. The graph of the equation y = - 6 is
11. Find the graph of the equation x = 0.
12. Find the slope of the line containing (12, -9) and (-1, -9).
13. Find the slope of the line containing the points (3, 7) and (- 2, -7).
14. Find the slope of the line whose equation is 7x + 2y = 5
15. Find the y-intercept of the line whose equation is 5x + 3y - 9 = 0.
16. Find an equation of the line with slope - 1 and y-intercept - 3.
17. Find an equation of the line with slope 2/3 that contains (0, -4).
18. Find an equation of the line containing (-1, 1) and (5, - 5).
19. Find an equation of the line containing the points (2, -3) and (- 1, -4).
20. The cost of producing yearbooks is a linear function of the number produced. To produce 20 yearbooks, the cost per yearbook is $8. To produce 60 yearbooks, the cost per yearbook is $6. What is the cost per yearbook when producing 80 yearbooks?
21. The graphs of which pair of equations are parallel.lines?
22. The graphs of which pair of equations are perpendicular lines?
Practice Test 4
In which quadrant is each point located?
1. (-2, -3)
2. (5, -5)
Determine whether the given point is a solution of 2y = - 12x + 6.
3. (0, 3)
4. (-1/2, 6)
Graph each equation.
5. 4x + y = 9
6. 2x - 3y = -6
Find the slopes, if they exist, of the lines containing these points.
7. (9, 3) and (-3, -2)
8. (3, 8) and (3, -3)
Use the equation -3x + 5y = 10.
9. Find the slope and y-intercept.
10. Graph the equation.
11. Write an equation in slope-intercept form for the line with slope - 4 that contains the point (0, - 3).
12. Write an equation for the line containing the points (2, 2) and (3, - 3) .
BC Trucking Company charges $56 (p) to deliver 8 cartons (c) to a nearby town, and $78 to deliver 24 cartons.
13. Find a linear equation using (c, f, for these data points.
14. Use this equation to find how much BC Trucking Company charges to deliver 72 cartons to the town.
15. Determine whether the graphs of 5y - x = 15 and y + 5x = 10 are parallel lines.
16. Determine whether the graphs of y = 3x + 6 and 2y + 6x = 4 are perpendicular lines.
Practice Test 5
1. In which quadrant is the point located? (- 2, 5)
2. In the third quadrant, x-coordinates are always ______ and y-coordinates are always ______
Determine whether the given point is a solution of 2x - 8y = 16.
3. (-8, 0)
4. (-4, -3)
Graph each equation.
5. x + 2y = 10
6. 3x + 4y = 8
7. Find the coordinates of the point of intersection of the graphs of the equations x = 3 and y = - 5.
8. Find the slope, if it exists, of the line containing these points: (0, -7) and (-2, 3).
9. A line contains (2, 6) and (x, 15). It has slope 3. Find x.
Use the equation 6y + 3x = 6.
10. Find the slope and y-intercept.
11. Graph the equation.
12. Write an equation in slope-intercept form for the line containing the points
(1, 1) and (-2, 4).
13. Write an equation for the line that has the same slope as 2x - 4y = 13 and contains the point (6, 8).
Water pressure (p) in the ocean is 2.3 tons per square inch at a depth (d) of 2 miles and 3.45 tons per square inch at a depth of 3 miles.
14. Find a linear equation using (d, p) for these data points.
15. Find the pressure at a depth of 4 miles.
16. Determine whether the graphs of y = - 2x - 11 and x - 2y = 12 are parallel lines.
17. Write an equation of the line containing the point (0, -4) and perpendicular to the line y = 1/3x + 5.