PART 1
Algebra 1 Midterm Practice
Directions: Choose the best answer for each question.
1.
What is the value of 5 1 (12  7  1)2  4 ?
7
2. The temperature is 113˚F. What is the temperature in degrees Celsius?
5
Formula: C  ( F  32)
9
3. State the domain of the function in the table?
Input Output
3
1
5
2
7
3
9
2
4. State the range of the function shown in the mapping diagram?
0
2
4
5
5
18
20
30
5. Which graph(s) represent(s) a function?
a.
b.
c.
d.
6. Order the numbers from least to greatest.
1
5
3
4
a.  , 2, ,1, 3
b.
1 1 4 4 3
, , , ,
7 3 7 5 2
c.
1
2 1
4
, .33, , ,  , .67
6
7 3
5
Midterm Exam Version 1.0
7. Which number is an irrational?
a. 
7
5
b.  15
c.
d. 2.7
25
8. What property is being illustrated in the equation 7(5 x  2)  35 x  14 ?
a. Associative prop. b. Commutative prop. c. Identity prop.
d. Distributive prop.
9. Name the property illustrated in the equation:
a. 8(5x  9)  8  5x   9
b. 16x 1  16x
c. 5(3x  7)  15 x  35
d . 7(4 x  8)  7 8  4 x 
m
?
ny 4
4
2
11. What is the value of      ?
5  15 
10. What is the reciprocal of
12. 6.06  5.3  ?
13. What is the value of m  y  2 x when x  4, y  14, m  17 ?
14. What is the perimeter of the rectangle?
7-4y
9
28  35 y
7
16. Simplify: 7( x  5)  4(8  x)
15. Simplify the expression
17.
18.
What is the solution of the equation: 5 x  2(11  x)  5 ?
a. x  6
b. x  9
c. x  5
Which equation does not have a solution?
a. 3 y  2 
y
2
b. 5  4 x  3  20 x  7
d. x  8
c. 4m 15  m 15
d. 14  2(4 g  3)  40
3m 2
 ?
27 3
24
4

20. What is the value of y in the proportion
?
5 y  4 y 1
19.
What is the value of m in the proportion
21. What percent of 180 is 60 ?
1
3
a. 3%
b. 33 %
c. 60%
d. 120%
22. Which proportion represents the statement 2 is to 3 as 4 is to x?
a.
2 3

x 4
b.
2 x

3 4
c.
2 4

3 x
d.
x 3

2 4
Midterm Exam Version 1.0
23. A student can read 7 pages of a book in 10 minutes. How many pages of the book can
the student read in 30 minutes?
a. 21
b. 28
c. 18
d. 30
24. Which equation is not equivalent to 3x  y  8  6 x  2 ?
a. y  3x  6
b. y  3x  10
c. x 
y6
3
1
3
d. x  y  2
25. Examine the problem below. Which line contains an error?
line1: 5 x  4  x  3  17
line 2 : 5 x  4 x  12  17
line3 : x  12  17
a. Line 2
b. Line 3
c. Line 4
d. none of the above
line 4 : x  29
Solve:
26.
4
5
n  10  n  7
3
6
27. 5  x  12
5
k  15
6
x
29.   13  17
5
28.
30. Solve for w:
6 w  12
 4
3
31. Solve for y given the equation my  n  p .
32. What is 5% of 70?
33. A pair of jeans is on sale for 30% off. If the original price was $54, how much is the sale
price?
34. Solve for m:
13 3m

6
18
35. Sophia has $12 less than Mathew. Together, they have $144. How much does Sophia
have? How much does Mathew have?
36. The perimeter of a triangle is 26 feet. The second side is twice as long as the first. The
third side is 1 foot longer than the second side. What is the length of the 3 sides?
37. A point is located 6 units to the right of the origin and 7 units down.
What are the coordinates of the point?
a. (6, 7)
b. (6, 7)
c. (6, 7)
d. (6, 7)
38. In which quadrant is the point (5, 3) located?
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV
Midterm Exam Version 1.0
39. Which ordered pair is the solution of 3x  y  7
a. (3, 4)
b. (1, 4)
c. (5, 3)
d. (1, 2)
40. What is the x-intercept of the equation 3x  4 y  24
a. (0, 6)
b. (0, 8)
c. (8, 0)
d. (6, 0)
41. The slope of the line that passes through the points (3,5) and (1, 2) is?
a. negative
b. positive
c. undefined
d. zero
42. Find the slope of the line that passes through the points (6, 2) and (8, 4) ?
2
3
43. What is the slope of the line y  x  5 ?
a. 5
b.
2
3
c. 
2
3
d. 2
44. What is the y-intercept of the line 7 x  6 y  24 ?
45. Which equation is correct for the line graphed below?
2
3
2
c. y  x  2
3
a. y  x  2
0
2
3
2
d. y   x  2
3
b. y   x  2
46. Write an equation of the line that passes through the point ( 2, 7 ) with slope -4.
47. Which equation represents a line perpendicular to y  4 x  5 ?
a. y  4 x  4
b. y  4 x  4
1
c. y   x  3
4
d. y 
1
x 3
4
Midterm Exam Version 1.0
48.
Write an equation in slope-intercept form of the line shown.
y
10
–10
10
x
–10
3
2
49. Which equation represents the line that has slope m  and passes through point (4, 5) ?
3
2
a. y   x  1
3
2
b. y  x  1
3
2
c. y   x  1
3
2
d. y  x  1
50. Which equation represents the line that has slope m  0 and passes through point (4, 5) ?
a. y  x  5
b. y  4 x  5
c. y  4
d. y  5
51. What is the equation of the line that passes through point (2, 7) and point (4, 6) ?
52.
Which function has the values f (4)  15 and f (7)  57 ?
a. f ( x)  14 x  71 b. f ( x)  24 x  1361
c. f ( x)  24 x  360 d. f ( x)  24 x  111
53. Determine which lines, if any, are parallel or perpendicular.
3
5
a) y  x  1
b. 5 y  3x  2
54. Find the slope of the line.
c. 10 x  6 y  4
d. 3 y  5 x  9
55. Graph 4 x  y  3 ?
0
0
Midterm Exam Version 1.0
56. The initial membership fee at a gym cost $30. It cost $33 per month after the initial
membership fee. Write an equation that represents the cost as a function of the length of your
gym membership in months.
a. y  33x  30
b. y  30 x  33
c. y  33 x  30
d. y  30 x  33
57. Which of the following equations was used to generate the table below?
x
y
3
a. y  2 x  6
b. y   x  6
-3
8
2
3
4
2
y  2 x  6
y   x6
c.
d.
6
2
3
9
0
Solve and graph.
58.
6x  5  29
59. 7 x  2  4( x  5)
Graph.
60. A) x > 5 or x < –2 B) 3  x  7
A)
B)
Solve.
61.
62.
63.
64.
3x  5  14
3 5x  1  6  9
Graph x  2  5
Graph y  3x  4
0
Midterm Exam Version 1.0
65. Write the inequality that is graphed
below?
66. State the solution of the given system
of equations.
0
0
2
5
67. Without graphing, how many solutions does the linear system y  x  4 and y 
have.
a. one
b. two
c. no solution
4
x4
10
d. infinitely many
1
2
3
2
68. Which ordered pair is a solution of the linear system y  x  1 and y  x  4 ?
5
2
a. (3, )
1
2
b. (3,  )
3 7
2 4
c. ( , )
d. (0,1)
69. Tell which ordered pairs is not a solution of the system of inequalities picture below.
y
a. (3, 0)
c. (0,3)
b. (0,1)
d. (3,1)
3
1
-3
-1 0
1
3
x
Midterm Exam Version 1.0
70. Which system of inequality is graphed?
2
y  x2
3
a.
1
y  x 1
2
2
y  x2
3
b.
1
y  x 1
2
2
y  x2
3
c.
1
y  x 1
2
2
y  x2
3
d.
1
y  x 1
2
4
2
-4
-2
0
2
1
 x 24
x16
71.
Simplify
72.
Simplify x 200  x
73.
Simplify  x5   2 x 4  .
2
2
 3 x8 
74. Simplify  5  ?
 6x 
75. Simplify 6 y 4  y 2  using only positive exponents.
76. Simplify 97  910 using only positive exponents.
m 10
m 10
2
7
78. Simplify  
 11 
1
79.
Simplify 5  x 32
x
77. Simplify
1
x 27
a. x 27
b. x 37
c. x 13
d.
80. Simplify x  x15
a. x15
b. x16
c. 2x16
d. 2x15
b. 7x16
c. 4x 8
d. 7x 20
81. Simplify
 x  7x  .
a. 3x13
3 6
2
Midterm Exam Version 1.0
2
 3y4 
82. Simplify  3  ?
 9y 
1 5
y
a.
9
b. 8 y 6
c.
1 2
y
9
d. 9x16
83. Simplify 9 y 6  y 3  using only positive exponents.
a. 5y 8
b.
1
9 y8
c.
9
y9
d.
1
5y 8
1
912
84. Simplify 44  47 using only exponents.
a. 163
m 4
85. Simplify 4
m
1
a. 4
m
2
86. Simplify  
9
9
a.
64
b. 4 3
c. 9
d.
b. m 2
c. m
d. 1
2
b.
4
81
c.
6
16
d.
81
4
87. State the solution of the given system of equations.
x  y  8
y  2 x  4
a. (3, 2)
c. ( 4, 4)
0
b. (4, 4)
d. (0,3)
88. Without graphing, how many solutions does the linear system y 
a. one
b. two
c. no solution
2
6
x  8 and y  x  9 have.
7
16
d. infinitely many
89. Which ordered pair is a solution of the linear system 5x  4 y  32 and 9x  y  33 ?
a. (2, 0)
b. (1, 5)
c. (4,3)
d. (3, 2)
Midterm Exam Version 1.0
90. Tell which ordered pairs is not a solution of the system of inequalities picture below.
y
a. (2,1)
c. (3,3)
b. (0,3)
d. (1,3)
3
1
-1 0
-3
91. Which system of inequality is graphed at the right?
2
y  x2
3
a.
2
y  x 1
3
2
y  x2
3
b.
1
y  x 1
2
2
y  x2
3
c.
1
y  x 1
2
2
y  x2
3
d.
2
y  x 1
3
2
4
x
2
-4
-2
0
12. 11.36
23. a
2. 45
13. -5
24. b
3.
14. 32 -8y
25. a
4. 5, 18, 30
15. 5y -4 (or) -4+5y
26. 6
5. a, c
16. -3x-3
27. 17
6.a) -3, -2, -1/5, ¾, 1
b)-4/5,1/3,1/7,4/7,3/2
7. b
17. b
28. 18
18. b
29. 20
8. d
19. 6
30. 4
9. a) assoc.b) identity
of mult c) distrib.
20. 10
31. y 
ny 4
m
21. b
32. 3.5
11. -2/3
22. c
33. $37.80
10.
3
4y
1. 45
3, 5, 7, 9
1
x
pn
m
Midterm Exam Version 1.0
34. -13
55. see graph
76. 93
35. 78
56. a
77. 1
36. 5, 10, 11
57. d
78. 121/49
37. a
58. see graph
79. a
38. c
59. see graph
80. x16
39. b
60. see graph
81. d
40. c
61. x=3 or x=-6 1/3
82. c
41. a
62. x=0 or x= -2/5
83. c
42. -3/7
63. x  3orx  7
84. b
43. b
64. see graph
85. d
44. 4
65. y  x
86. d
45. d
66. (2, -1)
87. c
46. y=-4x-1
67. d
88. a
47. c
68. b
89. c
48. y=1/4x + 6
69. a
90. c
49. b
70. b
91. a
50 d
71. x8
51 -1/2
72. x 201
52. d
73. 2x14
1
4
53. allb,clld, aLc,bLc, 74. 1 x10
4
aLd, bLd
6
54. 3/7
75. 6
y
Midterm Exam Version 1.0