Algebra 1 Sem 1 Part A Review
Name ___________________________
Solve each equation by showing all work. Round to nearest tenth if necessary. Recall some
answers may be no solutions or all real solutions.
3
x3
1. 5x – 12 > 18
2.
x – 10 = 5
3.
4
7
5
4.
2m – 9 – 5m + 3 = 18
7.
2(4x + 6) =
1
16x  24 
2
10. 3(4x – 2) = 6(2x – 6)
5.
9
7

n n3
8. 3(x + 5) = 30
11.
x
 6  10
2
6.
7
3
2
5
x–
=
x+
5
2
2
5
9. –2x + 12 > 20
12. 3 2n  14  18
13. Solve
5
x  30 using 1 step.
6
14. Solve
5
x  30 using two steps.
6
15. Find the value of x so the rectangles have the same area.
a) Equation: _________________________
b) x = _______
16.
17. Find the value of x in the given figure:
C
5x + 50
A
Angles inside  add up to 180.
15x – 10
B
D
a) Equation: _____________
b) x = ______
a) Equation: _____________
b) x = ______
c) ABC = ________
18. Find the sales tax of an item that costs $42
and has a 8.25% sales tax. Round
appropriately.
19. The price of a bag of oranges varies
directly with the cost per pound. If 4
pounds of oranges cost $14, how
much would 9 pounds cost?
Solve each inequality and accurately graph its solution
20.
–4x
+ 7 > 15
22. Write the equation to find x.
21. 3x + 6 > –3 AND 7 + 2x < 15
23. Write the equation to find x.
Perimeter = 51 cm
Equation: _____________
Equation: _____________
24. Pam has 36 tapes in her collection. This
2
is
as many as Bill has. Write an
3
algebraic equation for this situation.
25. Connor is mailing some letters at the post
office. Stamps cost 44 cents each. He
also needs to mail a package that costs
$8.45. Write an inequality to show how
many letters Connor can mail if he has
$12.00 to spend in total.
Accurately graph each compound inequality.
26.
x < –1 or x > 2
27.
x > –3 and
Graph each inequality. (Solid or Dotted?) Don’t forget to SHADE.
1
x3
28. x > 3
29. y 
2
x < 1
30. Find the slope for the table.
x
1
4
7
10
13
y
–3
2
7
12
17
31. Find the slope of the line through the
points (6, –2) and (6, –4)
Slope = _____
32. A balloon is released into the air. For the
first 3 feet, it goes straight up in a vertical
line. What is the slope of this vertical line?
Slope = _____
33. Beck is drawing a rectangle on graph paper.
The equation y = –4x + 5 forms the top line of
the rectangle. Remembering that opposite
sides of rectangles are parallel, what is the
slope of the bottom line of the rectangle?
Slope = _____
34. Find the slope of the line through
(–1, 6) and (3, 8)
Slope = _____
35. What is the slope of the line perpendicular
to: y = 2x – 1?
Slope = _____
36. In 1995, there were 144 area codes in
the United States. In 2005, there were
198. Find the rate of change from
1995 to 2005.
y2  y1
x2  x1
Slope = _____
37. Find the slope of the hypotenuse, AB :
Slope = _____
38. a) Find slope of AD
b) Find slope of BC
c) Are the lines parallel, perpendicular or neither?
d) How do you know?
39. What is the slope and the y-intercept of the line
6x – 3y = –12
slope:
_____
y-int:
40. Identify the intercepts.
4x + 10y = 20
_____
x-int:
Graph each line accurately.
41. y = x – 4
_____
y-int:
42. 2y = –6x – 8
y = _____________
43. y = –2
44. x = –2
45. a) Graph 6x + 9y = 18 by intercepts
b) Graph 6x + 9y = 18 by solving for y
x-int = ____
y-int = ____
y = _____________
46. Choose the graph that shows x + 5y = –20
a)
b)
c)
d)
_____