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Question 1: If 2x - y = 8, and x + 3y = 10, what is the value of x?
A
2
B
3
C
4
D
5
Question 2: The sum of three consecutive odd integers is 57. What are the integers?
A
17, 19, 21
B
19, 21, 23
C
21, 23, 25
D
23, 25, 27
Question 3: If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?
A
5
B
6
C
7
D
8
Question 4: Simplify: (2x^2 - 3x + 1) + (x^2 + 2x - 5)
A
3x^2 - x - 4
B
3x^2 - x + 4
C
3x^2 + x - 4
D
3x^2 + x + 4
Question 5: If the average of five numbers is 20, what is the sum of the numbers?
A
80
B
90
C
100
D
110
Question 6: The length of a rectangle is 5 cm more than its width. If the width is w, what is the length?
A
w - 5
B
w + 5
C
w - 10
D
w + 10
Question 7: If f(x) = 2x^2 - 4x + 1, what is f(3)?
A
16
B
18
C
20
D
22
Question 8: Solve for x: |2x - 7| = 5
A
-1
B
1
C
3
D
6
Question 9: The sum of an integer and twice its square is 20. What is the integer?
A
-2
B
-1
C
0
D
1
Question 10: If 4y + 7 = 19, what is the value of y?
A
2
B
3
C
4
D
5
Question 11: What is the value of √(16 + √9)?
A
2
B
3
C
4
D
5
Question 12: The area of a trapezoid is given by A = (1/2)(a + b)h. If a = 8, b = 12, and h = 6, what is the area?
A
36
B
48
C
60
D
72
Question 13: If 2p - 5 = 7, what is the value of p?
A
3
B
4
C
5
D
6
Question 14: Simplify: 3/5 + 4/7
A
23/35
B
29/35
C
31/35
D
37/35
Question 15: The ratio of the length to the width of a rectangle is 3:2. If the width is 10 cm, what is the length?
A
12 cm
B
15 cm
C
18 cm
D
20 cm
Question 16: If 2(x - 3) = 8, what is the value of x?
A
4
B
5
C
6
D
7
Question 17: The sum of three consecutive integers is 72. What are the integers?
A
23, 24, 25
B
24, 25, 26
C
25, 26, 27
D
26, 27, 28
Question 18: If 3^a = 81, what is the value of a?
A
2
B
3
C
4
D
5
Question 19: What is the volume of a cylinder with radius 4 cm and height 10 cm?
A
80π cm^3
B
120π cm^3
C
160π cm^3
D
240π cm^3
Question 20: Solve for y: 2y/3 = 12
A
6
B
8
C
12
D
16
Question 21: If 5x + 3 = 18, what is the value of x?
A
2
B
3
C
4
D
5
Question 22: What is the value of 2^5 * 3^3?
A
216
B
432
C
648
D
864
Question 23: If the diagonal of a square is 10 cm, what is the length of one side?
A
5 cm
B
7 cm
C
8 cm
D
10 cm
Question 24: The sum of two numbers is 15, and their difference is 5. What are the numbers?
A
5, 10
B
6, 9
C
7, 8
D
8, 7
Question 25: Simplify: √(25/9)
A
1/3
B
2/3
C
3/2
D
5/3
Question 26: If 3x + 2y = 12 and 2x - y = 8, what is the value of x?
A
2
B
3
C
4
D
5
Question 27: The length of a rectangle is 8 cm less than twice its width. If the width is w, what is the length?
A
2w - 8
B
2w - 6
C
2w + 6
D
2w + 8
Question 28: If a + b = 15 and a - b = 3, what is the value of a?
A
7
B
8
C
9
D
10
Question 29: If 2x - y = 8, and x + 3y = 10, what is the value of x?
A
2
B
3
C
4
D
5
Question 30: The sum of three consecutive odd integers is 57. What are the integers?
A
17, 19, 21
B
19, 21, 23
C
21, 23, 25
D
23, 25, 27
Question 31: If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?
A
5
B
6
C
7
D
8
Question 32: Simplify: (2x^2 - 3x + 1) + (x^2 + 2x - 5)
A
3x^2 - x - 4
B
3x^2 - x + 4
C
3x^2 + x - 4
D
3x^2 + x + 4
Question 33: If the average of five numbers is 20, what is the sum of the numbers?
A
80
B
90
C
100
D
110
Question 34: The length of a rectangle is 5 cm more than its width. If the width is w, what is the length?
A
w - 5
B
w + 5
C
w - 10
D
w + 10
Question 35: If f(x) = 2x^2 - 4x + 1, what is f(3)?
A
16
B
18
C
20
D
22
Question 36: Solve for x: |2x - 7| = 5
A
-1
B
1
C
3
D
6
Question 37: The sum of an integer and twice its square is 20. What is the integer?
A
-2
B
-1
C
0
D
1
Question 38: If 4y + 7 = 19, what is the value of y?
A
2
B
3
C
4
D
5
Question 39: What is the value of √(16 + √9)?
A
2
B
3
C
4
D
5
Question 40: The area of a trapezoid is given by A = (1/2)(a + b)h. If a = 8, b = 12, and h = 6, what is the area?
A
36
B
48
C
60
D
72
Question 41: If 2p - 5 = 7, what is the value of p?
A
3
B
4
C
5
D
6
Question 42: Simplify: 3/5 + 4/7
A
23/35
B
29/35
C
31/35
D
37/35
Question 43: The ratio of the length to the width of a rectangle is 3:2. If the width is 10 cm, what is the length?
A
12 cm
B
15 cm
C
18 cm
D
20 cm
Question 44: If 2(x - 3) = 8, what is the value of x?
A
4
B
5
C
6
D
7
Question 45: The sum of three consecutive integers is 72. What are the integers?
A
23, 24, 25
B
24, 25, 26
C
25, 26, 27
D
26, 27, 28
Question 46: If 3^a = 81, what is the value of a?
A
2
B
3
C
4
D
5
Question 47: What is the volume of a cylinder with radius 4 cm and height 10 cm?
A
80π cm^3
B
120π cm^3
C
160π cm^3
D
240π cm^3
Question 48: Solve for y: 2y/3 = 12
A
6
B
8
C
12
D
16
Question 49: If 5x + 3 = 18, what is the value of x?
A
2
B
3
C
4
D
5
Question 50: What is the value of 2^5 * 3^3?
A
216
B
432
C
648
D
864
Question 51: If the diagonal of a square is 10 cm, what is the length of one side?
A
5 cm
B
7 cm
C
8 cm
D
10 cm
Question 52: The sum of two numbers is 15, and their difference is 5. What are the numbers?
A
5, 10
B
6, 9
C
7, 8
D
8, 7
Question 53: Simplify: √(25/9)
A
1/3
B
2/3
C
3/2
D
5/3
Question 54: If 3x + 2y = 12 and 2x - y = 8, what is the value of x?
A
2
B
3
C
4
D
5
Question 55: The length of a rectangle is 8 cm less than twice its width. If the width is w, what is the length?
A
2w - 8
B
2w - 6
C
2w + 6
D
2w + 8
Question 56: If a + b = 15 and a - b = 3, what is the value of a?
A
7
B
8
C
9
D
10
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