Download Algebra 1A Comprehensive Final Review Sheet #1

Algebra 1A Comprehensive Final Review Sheet #1
1. Solve 2x + 15 = -3
9. Solve and graph:
5x – 16 < 14
2. Solve: 5(x – 12) = 20
10. Solve and graph: -3x ≥39
3. Solve: 4x – 12 = 8x – 4
4. Solve: 9x + 7 = 13 + 7x
11. Solve: 6x + 15  4x + 23
5. Solve: 4x + 7x - 12 = 8 + 9x
6. 3(x – 4) = 5(x + 2)
𝑥
7. 3 =
−6
9
12. Find the slope of the line the passes
through the points (6, -5) and (–5, -3).
13. Find the slope of the line that passes
through the points (8, 7) and (5, -9).
14. Describe the slope if:
8.
𝑥+7
9
=
𝑥+3
5
A. the lines are perpendicular
B. the lines have the same y-intercept
C. the lines are parallel
Algebra 1A Comprehensive Final Review Sheet #1
15. Name the slope & y intercept: y = -x -7
18. Which of the following graphs
represents
4x - 6y = -24?
16. Graph each line on the axes:
A.
B.
A. y 
1
x2
3
C. y   x  5
B. y  x  5
C.
D. y  
3
x
2
17. Graph each inequality on the axes
provided:
A y  3 x  2
B. y 
2
x 1
3
19. Does the point (-3, 2) lie on the line
y = –4x + 3?
C. y  2 x  4
5
D. y   x  2
2
20. Which point is on the line: 3x + 2y = 5
a. (0, 5)
c. (1, 1)
b. (2, 1)
d. (-1, 1)
Algebra 1A Comprehensive Final Review Sheet #1
21. Find the point of intersection of the
following two lines (solve the system):
26. Find the equation of a line that passes
through the points whose coordinates are
(-3, 2) and (-2, 4).
y = 6x + 4
y = –4x – 16
22. What is the y-intercept of:
1
y x
3
27. What is the slope of a line that is
perpendicular to the line with an equation of
y
4
x  6.
3
23. Find the equation of a line that passes
through the point whose coordinates are
(4, -5) and has a slope of -3.
28. Write the equation of the line parallel to
y = -3x +2 and passes through the point
(2, -1).
24. What is the equation of the line graphed
below (in slope-intercept form y = mx + b)?
29. Find the x-intercept of 2x + 5y = 20
30. Find the y-intercept of -3x + 4y = -12
31. y  
5
x  8 is parallel to which of the
3
following:
25. The coordinates of the y-intercept
are:
A. y 
5
x2
3
B. y 
5
x5
3
C. y 
3
x8
5
D. y 
3
x3
5
Algebra 1A Comprehensive Final Review Sheet #1
32. Solve the following system, find x:
36. Solve for x: 2x  5  4x  2
x + 5y = -7
4x – 5y = -3
37. If a point is on the y-axis at 3, how do
you write the coordinates of that point?
33. Solve the system by substitution:
y = 2x – 3
38. Solve for x:
x3 x6

5
3
2x + 3y = -1
39. Does the point (-2, -3) lie on the
line: 3x - y = -3
34. Solve the following system:
 
40. Simplify: 8 x 9  4 x 6

3x + 6y = -9
5x – 3y = 11

41. Simplify: 2 x 4 y 3

2
20 x 9 y 8
42. Simplify:
5 x10 y 6
35. Solve the following system:
43. Simplify: (2x 4 ) 3  (5x 5 ) 2
2x + 5y = 6
3x + 4y = 9
44. Simplify: 𝑦 −5 ∗ 𝑦 3
45. Simplify: 80