Q. What is the solution to the equation 2x + 3 = 11?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
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Solution
Step 1: Subtract 3 from both sides: 2x = 8. Step 2: Divide both sides by 2: x = 4.
Correct Answer:
C
— x = 4
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Q. What is the solution to the equation 2x - 5 = 3x + 1?
A.
x = -6
B.
x = -4
C.
x = 4
D.
x = 6
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Solution
Step 1: Rearrange: 2x - 3x = 1 + 5. Step 2: Combine like terms: -x = 6. Step 3: Multiply by -1: x = -6.
Correct Answer:
A
— x = -6
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Q. What is the solution to the equation 2x^2 - 4x - 6 = 0 using the quadratic formula?
A.
x = 3
B.
x = -1
C.
x = 2
D.
x = -3
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Solution
Using the quadratic formula x = (-b ± √(b² - 4ac)) / 2a. Here, a = 2, b = -4, c = -6. Discriminant = (-4)² - 4(2)(-6) = 16 + 48 = 64. Thus, x = (4 ± √64) / 4 = (4 ± 8) / 4. Solutions are x = 3 and x = -1.
Correct Answer:
A
— x = 3
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Q. What is the solution to the equation 2x^2 - 8 = 0?
A.
x = 2, -2
B.
x = 4, -4
C.
x = 0, 4
D.
x = 4, 0
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Solution
First, add 8 to both sides: 2x^2 = 8. Then divide by 2: x^2 = 4. Taking the square root gives x = ±4.
Correct Answer:
B
— x = 4, -4
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Q. What is the solution to the equation 3(x + 2) = 2(x + 5)?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Step 1: Distribute: 3x + 6 = 2x + 10. Step 2: Subtract 2x from both sides: x + 6 = 10. Step 3: Subtract 6: x = 4.
Correct Answer:
A
— x = 1
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Q. What is the solution to the equation 3(x - 1) = 12?
A.
x = 3
B.
x = 4
C.
x = 5
D.
x = 6
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Solution
Step 1: Divide both sides by 3: x - 1 = 4. Step 2: Add 1 to both sides: x = 5.
Correct Answer:
B
— x = 4
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Q. What is the solution to the equation 3(x - 1) = 2(x + 2)?
A.
x = 5
B.
x = 1
C.
x = 3
D.
x = 2
Show solution
Solution
3(x - 1) = 2(x + 2). Expanding gives 3x - 3 = 2x + 4. Subtract 2x: x - 3 = 4. Add 3: x = 7.
Correct Answer:
C
— x = 3
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Q. What is the solution to the equation 3(x - 2) = 12?
A.
x = 6
B.
x = 4
C.
x = 2
D.
x = 0
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Solution
Step 1: Divide both sides by 3: x - 2 = 4. Step 2: Add 2 to both sides: x = 6.
Correct Answer:
A
— x = 6
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Q. What is the solution to the equation 3(x - 2) = 9?
A.
x = 1
B.
x = 2
C.
x = 5
D.
x = 6
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Solution
Step 1: Divide both sides by 3: x - 2 = 3. Step 2: Add 2 to both sides: x = 5.
Correct Answer:
C
— x = 5
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Q. What is the solution to the equation 3x + 2 = 11?
A.
x = 3
B.
x = 2
C.
x = 4
D.
x = 5
Show solution
Solution
Subtract 2 from both sides: 3x = 9. Then divide by 3: x = 3.
Correct Answer:
A
— x = 3
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Q. What is the solution to the equation 3x + 4 = 10?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
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Solution
To solve for x, subtract 4 from both sides: 3x = 6. Then divide by 3: x = 2.
Correct Answer:
A
— x = 2
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Q. What is the solution to the equation 4(x - 1) = 12?
A.
x = 4
B.
x = 3
C.
x = 5
D.
x = 2
Show solution
Solution
Divide both sides by 4: x - 1 = 3. Add 1 to both sides: x = 4.
Correct Answer:
B
— x = 3
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Q. What is the solution to the equation 4(x - 1) = 2(x + 3)?
A.
x = 5
B.
x = 1
C.
x = 2
D.
x = 3
Show solution
Solution
Distribute: 4x - 4 = 2x + 6. Subtract 2x: 2x - 4 = 6. Add 4: 2x = 10. Divide by 2: x = 5.
Correct Answer:
C
— x = 2
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Q. What is the solution to the equation 4x + 1 = 17?
A.
x = 3
B.
x = 4
C.
x = 5
D.
x = 6
Show solution
Solution
Step 1: Subtract 1 from both sides: 4x = 16. Step 2: Divide both sides by 4: x = 4.
Correct Answer:
A
— x = 3
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Q. What is the solution to the equation 4x + 1 = 2x + 9?
A.
x = 4
B.
x = 3
C.
x = 2
D.
x = 1
Show solution
Solution
Subtract 2x from both sides: 2x + 1 = 9. Then subtract 1: 2x = 8. Finally, divide by 2: x = 4.
Correct Answer:
A
— x = 4
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Q. What is the solution to the equation 4x - 1 = 3x + 2?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
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Solution
Step 1: Subtract 3x from both sides: x - 1 = 2. Step 2: Add 1 to both sides: x = 3.
Correct Answer:
A
— x = 1
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Q. What is the solution to the equation 4x - 12 = 0?
A.
x = 3
B.
x = 4
C.
x = 2
D.
x = 0
Show solution
Solution
Step 1: Add 12 to both sides: 4x = 12. Step 2: Divide by 4: x = 3.
Correct Answer:
A
— x = 3
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Q. What is the solution to the equation 4x - 2 = 10?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 5
Show solution
Solution
Add 2 to both sides: 4x = 12. Then divide by 4: x = 3.
Correct Answer:
B
— x = 3
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Q. What is the solution to the equation 4x - 2 = 2x + 6?
A.
x = 2
B.
x = 3
C.
x = 4
D.
x = 1
Show solution
Solution
Subtract 2x from both sides: 2x - 2 = 6. Then add 2: 2x = 8. Finally, divide by 2: x = 4.
Correct Answer:
A
— x = 2
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Q. What is the solution to the equation 4x - 5 = 3x + 2?
A.
x = -7
B.
x = -5
C.
x = 5
D.
x = 7
Show solution
Solution
Step 1: Subtract 3x from both sides: x - 5 = 2. Step 2: Add 5 to both sides: x = 7.
Correct Answer:
D
— x = 7
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Q. What is the solution to the equation 4x - 7 = 5?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Step 1: Add 7 to both sides: 4x = 12. Step 2: Divide both sides by 4: x = 3.
Correct Answer:
B
— x = 2
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Q. What is the solution to the equation 4x - 7 = 5x + 2?
A.
x = -9
B.
x = 9
C.
x = -1
D.
x = 1
Show solution
Solution
Step 1: Subtract 4x from both sides: -7 = x + 2. Step 2: Subtract 2 from both sides: -9 = x. Step 3: x = -9.
Correct Answer:
C
— x = -1
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Q. What is the solution to the equation 4x^2 + 8x + 4 = 0?
A.
x = -1
B.
x = -2
C.
x = 1
D.
x = 0
Show solution
Solution
This can be factored as 4(x^2 + 2x + 1) = 0, which simplifies to 4(x + 1)(x + 1) = 0. Thus, x = -1.
Correct Answer:
B
— x = -2
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Q. What is the solution to the equation 4x^2 - 12x + 9 = 0?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Factor the equation: (2x - 3)(2x - 3) = 0. Thus, x = 3.
Correct Answer:
C
— x = 3
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Q. What is the solution to the equation 4x^2 - 16 = 0?
Show solution
Solution
Step 1: Factor the equation: 4(x^2 - 4) = 0. Step 2: Set x^2 - 4 = 0: (x - 2)(x + 2) = 0. Step 3: Solutions are x = 2 or x = -2.
Correct Answer:
C
— 2
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Q. What is the solution to the equation 5(x - 1) = 3(x + 2)?
A.
x = 1
B.
x = 2
C.
x = 3
D.
x = 4
Show solution
Solution
Distributing gives 5x - 5 = 3x + 6. Rearranging gives 2x = 11, so x = 5.5.
Correct Answer:
C
— x = 3
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Q. What is the solution to the equation 5(x - 2) = 3x + 4?
A.
x = 6
B.
x = 5
C.
x = 4
D.
x = 3
Show solution
Solution
Distribute: 5x - 10 = 3x + 4. Rearranging gives 2x = 14, so x = 7.
Correct Answer:
B
— x = 5
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Q. What is the solution to the equation 5x + 2 = 17?
A.
x = 3
B.
x = 4
C.
x = 5
D.
x = 2
Show solution
Solution
Step 1: Subtract 2 from both sides: 5x = 15. Step 2: Divide by 5: x = 3.
Correct Answer:
B
— x = 4
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Q. What is the solution to the equation 5x + 2 = 3x + 10?
A.
x = 4
B.
x = 3
C.
x = 2
D.
x = 1
Show solution
Solution
Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.
Correct Answer:
A
— x = 4
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Q. What is the solution to the equation 5x + 3 = 2x + 12?
Show solution
Solution
Subtract 2x from both sides: 3x + 3 = 12. Subtract 3: 3x = 9. Divide by 3: x = 3.
Correct Answer:
B
— 3
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