Algebra 1
First Semester Review
Name:
Chapters 1 and 2 Review
1. Which number is next in the sequence: 117, 114, 111, 108, 105, …
a.
101
b. 102
c. 103
d. 108
2. If b = 8, which is the value of 2b + 5?
a.
18
b. 21
c. 26
d. 70
b. 65
c. 135
d. 109
b. -7
c. 
3. Evaluate: 5[24 – (7 + 4)]
a.
13
4. Evaluate   7
a.
7
1
7
d. 7
5. Simplify: 63 – 18 ÷ 2 + 7
a.
7
b. 16
c. 106
d. 214
6. Which of the following is true?
a.
85  9
b. 8  62
c.
97  10
7. Simplify: (6x + 3) – (4x + 6)
a.
2x – 9
b. 2x – 3
c. 2x + 9
d. 14x – 9
c. 21x + 3
d. 21x + 9
8. Simplify: 3(7x – 3)
a.
21x – 3
b. 21x – 9
d. 11  124
9. In basketball, two points are awarded for a field goal and one point is awarded for a foul shot.
Write an equation for the total number of points in a game, P, if there are g field goals and f foul
shots.
a. P = f + g
b. P = 2f + g
c. P = f + 2g
d. P = 2fg
10. Simplify the expression 24[62 – (12 – 9)2].
a.
216
b. 368
c. 648
11. Use <, >, or = to compare -4.125
a.
<
b. >
d. 720
О  4 17 .
c. =
12. What are the coordinates of point A?
a.
(2, 3)
b. (-2, -3)
c. (3, -2)
d. (-2, 3)
13. In what quadrant does point A lie?
a.
I
b. II
c. III
d. IV
14. During four rounds at the U.S. Open, you shot +5, -2, -9, and +1. What was his final score?
a.
-5
b. -3
c. +2
d. +7
15. Evaluate: 7  4(3  2)2
a.
-393
b. -93
c. -57
d. 407
16. The following table shows the total cost of belonging to Fitness Fantasy Health Club for 4
months. If the table continues in the same pattern, what is the total cost during the 9th month?
Month
Total Cost
a.
$405
1
$245
2
$290
b. $450
3
$335
4
$380
c. $605
d. $2205
Chapter 3 Review
17. Use the equations below to determine the product of x and y.
y
 3
7
 5  x  3
a.
-42
b. -23
c. -19
d. 42
18. Which is an algebraic expression for “the quotient of w + 3 and x?”
a.
w3
x
b.
x
w3
c.
w
x3
d.
w
3
x
19. The perimeter of the rectangle is 120. Solve for x.
a.
10
b. 20
b.
40
d. 60
50
30
2x
20. Solve for x: -3(x – 3) = 18
a.
-7
b. -3
c. 3
d. 9
c. 25
d. 45
c. 9
d. 64
21. 3 x  2( x  5)  35
a.
5
22. Solve: 
b. 9
3
y  24
8
a. –64
b. –9
23. Translate the sentence the product of m and 5 is 30 into an equation.
a. m – 5 = 30
b. 5m = 30
c.
m
 30
5
d. m + 5 = 30
24. Find the solution to the following equation: -14 = -2x + 6
a. -10
25. Solve:
b. -4
c. 4
d. 10
c. 2
d. 10
c. 17n – 4
d. 17n + 4
c. 3
d. 13
c. -7
d. 14
c. x = 0
d. x = 1
3x
69
2
a. -10
b. -2
26. Simplify: 15n – 4 + 2n
a. 13n – 4
b. –17n – 4
27. Solve: 2x + 7 = 5x + 16
a. –7
b. –3
28. Solve: k – 3k + 9 = 37
a. -23
b. -14
29. Solve: 6 – 6(x – 2) = 3(3x + 1)
a. x  
17
15
b. x  
1
5
30. Solve for x: y = mx + b
a. x 
y6
m
b. x 
b y
m
c. x 
y
b
m
d. x  y 
b
m
31. The sum of the measures in a triangle is 180. In triangle ABC, mA = x + 8,
mB = 2x – 4 and mC = 3x + 8. Find the measure of each angle.
a. 29
b. 36, 52, 92
c. 12, 62, 106
d. 37, 57, 78
32. Which of the following is a true proportion?
a.
7 8

8 7
b.
16 36

28 63
33. Solve the proportion
a. 3
c.
4 12

7 28
d.
18 3

45 15
5 15
.

8 c
b. 16
c. 24
d. 45
x3 5

3
6
34. What equation do you get when you cross multiply:
a.
18x = 15
35. Solve:
a.
b. 3x + 9 = 30
c. 6x + 18 = 15
d. 6x + 3 = 15
x3 5

x2 6
-34
b. -28
c. 14
d. 18
36. A map has a scale of 1 in : 25 mi. Two cities are 175 mi apart. How far apart are they on the
map?
a.
3 in
b. 5 in
c. 6 in
d. 7 in
37. A driveway is 82 ft long. If 93% of it has been sealed, approximately how many feet of the
driveway still needs to be sealed?
a.
2 ft
b. 6 ft
c. 10 ft
d. 76 ft
E
38. Given that ABC ~ DEF , findDE .
B
a.
1.7
b.
2.8
c.
10.3
d.
17.5
5.5
A
2.2
10
C
D
7
F
39. A flagpole casts a shadow that is 6 ft long. At the same time of day a 5 ft man stands next to the
pose and casts a shadow that is 2 ft long. How tall is the flagpole?
a.
12 ft
b. 15 ft
c. 18 ft
d. 20 ft
40. Determine the percent of change from 100 cm to 40 cm.
a.
0.06% decrease
b. 60% decrease
c. 99.33% decrease
d. 150% decrease
41. Determine the percent of change from 45 km/h to 60 km/hr.
a. 25% decrease
b. 25% increase
c. 133% decrease
d. 133% increase
42. In January, the price of a sweater was $36.29. In June, the price of the same sweater was
$21.89. What was the approximate percent of change in the price of the sweater?
a.
40% decrease
b. 60% decrease
c. 40% increase
43. Replace the “whats” with the correct units due to cancellation.
5 pt 60 min 2cu 600whats



min
1hr 1 pt
what
a.
pt
hr
b.
cu
hr
c.
min
hr
d.
hr
cu
44. Convert 35 mi/h to ft/min.
a.
7 ft/min
b. 257 ft/min c. 3080 ft/min d. 5560 ft/min
45. A car travels 330 ft in 5 seconds. What is the rate in miles per hour?
a.
25 mph
b. 35 mph
c. 45 mph
d. 55 mph
d. 60% increase
Chapter 4 Review
46. Which of the following inequalities is
represented by the graph to the right?
a.
x > -3
b. x < -3
c. x≥-3
d. x ≤ -3
47. Which of the following numbers is a solution of the inequality x > –6.8?
a.
-7.1
b. -6.9
c. -6.8
d. 0
3
 1 in one step?
4
3
b. Subtract
from both sides of the inequality.
4
48. What would you do to solve the inequality p 
a. Add
3
to both sides of the inequality.
4
c. Add 1 to both sides of the inequality.
d. Subtract
49. Which graph represents the inequality –x < 0.5?
a.
c.
50. Solve the inequality 9x ≤ –54.
a.
b.
c.
d.
b.
d.
3
from both sides of the inequality.
4
51. Solve the inequality 4q – 5 ≥ 19 – 8q.
a. q ≤ 2
b. q ≤
1
2
c. q ≥ 2
d. q ≥
1
2
d. x 
3
8
52. Solve the inequality 2(x – 3) < –3(2x + 1).
a.
x
3
8
b. x  
3
8
c. x 
53. Graph the solution to 2 x  1  9 or
3
8
x
 4  7.
2
a.
b.
c.
d.
54. What is the solution and graph of the compound inequality –1 < r + 1 ≤ 6?
a.
b.
c.
d.
55. Solve x + 3= 7.
a.
x=4
b. x = -4, 10
c. x = 4, -10
d. x = -4
56. Find the product of the solutions of 2 x  1  3  8.
a.
x = 2, -3
b. x = -2, 3
c. 6
d. -6
Chapters 5 and 6 Review
57. Identify the table of values and graph for y = x – 4.
a.
b.
c.
d.
58. Write a function rule for the table.
a. y = 4 – x
b. y = 4x
c. y = x2
d. y = x4
59. Write a function rule for the table.
a.
f(x) = 5x – 6
c. f(x) = x – 2
b. f(x) = x + 14
d. f(x) = 6x – 7
60. Find the slope of the line.
a.
m  2
b. m  
1
2
d. m  2
c. m 
1
2
61. The rate of change is constant in the graph. Find the rate
of change. Explain what the rate of change means for the
situation.
a. –20, value drops $20 every year
b. –60, value drops $60 every year
c. –
200
, value drops $200 every 3 years
3
d. –200, value drops $200 every year
62. Find the slope of the line containing (-7, 1) and (7, 8).
a.
m  2
b. m  
1
2
c. m 
1
2
d. m  2
63. Find the slope of the line that passes through (a, b) and (c, d).
a.
d b
ca
b.
ac
d b
c.
bd
ca
d.
ac
bd
64. Match y = 3x – 1 with its graph.
a.
b.
c.
d.
65. Match y = –x + 3 with its graph.
a.
b.
c.
d.
66. Write the slope-intercept form of the equation for the line.
a.
y
c. y  
4
x7
3
4
x7
3
b. y 
4
x7
3
d. y  
4
x7
3
67. Find the slope and y-intercept of 8x + 4y = –96.
a. m = -2, b = -24
68. Match y = –
a.
b. m = 2, b = 24
c. m = 24, b =
1
2
d. m = -16, b = 
3
x + 2 with its graph. Each mark on an axis indicates one unit.
4
b.
c.
d.
1
2
69. A scientific experiment required that temperatures be lowered at a steady and gradual rate. The
beginning temperature was 36°C. The graph shows the decline in temperature. Which equation
can you use to find the temperature on the sixth day?
a. y 
18
x  36
5
c. y  
b. y  
5
x  12
18
d. y 
18
x  36
5
5
x  12
18
70. As water is poured into a tank, the volume was measured every minute. It produced the graph
below. What was the volume at three minutes?
a. 3.0
b. 4.0
c. 6.0
d. 7.9
71. Identify the graph of –10x + 5y = –50.
a.
b.
c.
72. Find the x- and y-intercepts of 3x – 2y = 18.
a.
x-int: (0, -9) y-int: (6, 0)
c. x-int: (3, 0) y-int: (0, -2)
b. x-int: (-9, 0) y-int: (0, 6)
d. x-int: (0, 3) y-int: (-2, 0)
d.
73. Write y = –
a.
4
x + 7 in standard form using integers.
5
4x + 5y = 35
b. 4x – 5y = 35
c. -5x + 4y = 35
d. 4x + 5y = -35
74. Graph x = 1.
a.
b.
c.
d.
75. Find the x- and y-intercepts of 6x – 3y = 24.
a.
(4, 0), (0, -8)
b. (0, 4), (-8, 0)
c. (-4, 0), (0, 8)
76. Write an equation in point-slope form that has a slope of
a.
y 5 
1
x  3 b. y  5  1 x  3
2
2
d. (0, -4), (8, 0)
1
and contains the point (-3, 5).
2
c. y  5 
1
x  3
2
d. y  5 
1
x  3
2
77. Write the equation of the line in slope-intercept form that contains (-3, -4) and (3, -2).
a.
y
1
x2
2
b. y 
2
x 1
5
c. y 
1
x3
3
d. y  2 x  5
78. Are the lines –7x – 8y = 0 and –7x – 8y = –3 parallel, perpendicular, or neither?
a.
Parallel
b. Perpendicular
79. Find the slope of a line perpendicular to y 
a.
2
3
b. 
2
3
c.
3
2
c. neither
2
x  4.
3
d. 
3
2
80. Write an equation for the line that is parallel to y = 2x + 6 and passes through (–1, 5).
a.
y = -2x + 11
b. y = 2x – 11
c. y = -2x – 7
d. = 2x + 7
81. Find the slope of a line parallel to the graph of 4x – 2y = 9.
a. -2
b. 
1
2
c.
1
2
d. 2
82. Which of the following graphs could be represented by y = 3?
a.
b.
c.
d.
83. Which of the following lines is perpendicular to x = 5?
a. x = 3
b. y = 7
c. y = 3x – 3
d. 2x – 4 = 7
84. Which equation is graphed to the below?
a. y 
1
x 1
3
c. y  x  3
b. y  3 x  1
d. y  3 x  1
85. Which equation is graphed below?
a. 3 x  2y  6
b. 3 x  2y  6
c. 2 x  3 y  6
d. 2 x  3 y  6