1
If 3x + 7 = 25, what is the value of x?
- A4
- B6
- C8
- D18
Javob va izohni köriş
Töğri javob: B
3x = 18, so x = 6.
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- 2
A line in the xy-plane passes through the points (0, 4) and (2, 10). What is the slope of the line?
- A2
- B3
- C4
- D6
Javob va izohni köriş
Töğri javob: B
Slope = (10 − 4) ÷ (2 − 0) = 3.
- 3
Which expression is equivalent to (2x + 3)(x − 4)?
- A2x² − 5x − 12
- B2x² + 5x − 12
- C2x² − 11x − 12
- D2x² − 8x + 3
Javob va izohni köriş
Töğri javob: A
2x² − 8x + 3x − 12 = 2x² − 5x − 12.
- 4
A jacket originally priced at $80 is on sale for 25% off. What is the sale price?
- A$55
- B$60
- C$65
- D$20
Javob va izohni köriş
Töğri javob: B
25% of 80 is 20; 80 − 20 = 60.
- 5
A circle has an area of 49π square units. What is the radius of the circle?
- A7
- B14
- C24.5
- D49
Javob va izohni köriş
Töğri javob: A
πr² = 49π, so r² = 49 and r = 7.
- 6
What are the solutions of x² − 9 = 0?
- A3 only
- B−3 and 3
- C9 only
- D−9 and 9
Javob va izohni köriş
Töğri javob: B
x² = 9, so x = 3 or x = −3.
- 7
If 2ˣ = 32, what is the value of x?
- A4
- B5
- C6
- D16
Javob va izohni köriş
Töğri javob: B
2⁵ = 32.
- 8
The legs of a right triangle have lengths 6 and 8. What is the length of the hypotenuse?
- A10
- B12
- C14
- D48
Javob va izohni köriş
Töğri javob: A
√(36 + 64) = √100 = 10.
- 9
A population of bacteria doubles every 3 hours. If there are 500 bacteria at the start, how many will there be after 12 hours?
- A2,000
- B4,000
- C6,000
- D8,000
Javob va izohni köriş
Töğri javob: D
12 hours = 4 doublings: 500 × 2⁴ = 8,000.
- 10
In a class of 30 students, 18 study French. If one student is chosen at random, what is the probability that the student does NOT study French?
- A2/5
- B3/5
- C1/3
- D1/2
Javob va izohni köriş
Töğri javob: A
12 of 30 do not study French: 12/30 = 2/5.
- 11
What is the vertex of the parabola y = (x − 3)² + 4?
- A(3, 4)
- B(−3, 4)
- C(3, −4)
- D(4, 3)
Javob va izohni köriş
Töğri javob: A
y = (x − h)² + k has vertex (h, k) = (3, 4).
- 12
Which of the following describes all solutions of 5 − 2x > 11?
- Ax > −3
- Bx < −3
- Cx > 3
- Dx < 3
Javob va izohni köriş
Töğri javob: B
−2x > 6. Dividing by −2 reverses the sign: x < −3.
- 13
In a right triangle, the side opposite angle θ has length 5 and the hypotenuse has length 13. What is cos θ?
- A5/13
- B12/13
- C5/12
- D13/12
Javob va izohni köriş
Töğri javob: B
The adjacent side is √(169 − 25) = 12, so cos θ = 12/13.
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