Download Algebra B Practice Test - Part 1

Alg 1 Practice Test Graphing
Graphing Points and Lines
Name __________________________
Period _________ Seat # ______
Graph the following points along with their labels and then determine which quadrant
they are in or which axis they lie on.
1. Graph A ( 2, 6 ) Quadrant ____________
2. Graph B ( 4, -5 ) Quadrant ____________
3. Graph C ( -3, 5 ) Quadrant ____________
4. Graph D ( 0, 4 ) Axis ______________
5. Graph E ( -5, 0 ) Axis ______________
Determine whether the following points are on the indicated lines. Show your steps.
6. Is the point (3, 1) on the line with equation 2 x  3 y  4 ? Explain your answer.
7. Is the point (-4, 0) on the line with equation 2 x  3 y  8 ? Explain your answer.
Answer the following questions:
8. What is the slope of the line with equation y  3x  7 ?
8. ______________
9. What is the y-intercept of the line with equation y  3x  7 ?
9. ______________
10. Find the slope of the line containing (2, 8) and (5, 9)
Write down the formula and show all steps.
10. ______________
11. Find the slope of the line containing (-3, 9) and (5, -1)
Write down the formula and show all steps.
11. ______________
12. Find three solutions of the equation y  2 x  1
12. ______________
_____________________
______________________
13. Graph using the table of values method.
Be sure to find 3 points.
y  4x  5
14. Graph using the table of values method
Be sure to find 3 points.
2x  y  6
15. Graph using the slope intercept method
2
y  x 5
3
Slope: ___________
16. Graph using the slope intercept method
Intercept: __________
Intercept: __________
17. Graph x  6 and find the slope.
18. Graph y  4 and find the slope.
m = ___________
m = ___________
y  3x  8
Slope: ___________
19. Write the equation of the line containing
Leave your answer in point-slope form.
20. Write the equation of the line containing
3
the point ( -5, -2) with a slope of  .
7
Leave your answer in point-slope form.
Point-Slope Formula: __________________
Point-Slope Formula:__________________
Answer: _________________________
Answer: _________________________
21. Write the equation of the line that goes
through the points ( 1, 7 ) and (4, 12).
Leave your answer in point-slope form.
22. Find the slope and the y-intercept of the
line 5 x  4 y  24 by changing to y = mx + b
Slope _______
the point ( 4, 6) with a slope of -5.
Slope Formula: __________________
y-int _______
Point-Slope Formula: _________________
Answer: _________________________
2
 x  4  into
3
23. Change y  5  2  x  4 into
24. Change y  2 
y  mx  b form.
y  mx  b form.
25. Write the equation of the line where
m = 3 and b = -2
26. Graph 2 x  3 y  9
by changing to y  mx  b