Q. What is the solution to the equation 5x - 2 = 3x + 6?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 3x from both sides: 2x - 2 = 6. Step 2: Add 2 to both sides: 2x = 8. Step 3: Divide by 2: x = 4.
Correct Answer:
B
— x = 3
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Q. What is the solution to the equation 5x^2 - 20 = 0?
-
A.
x = 2
-
B.
x = -2
-
C.
x = 4
-
D.
x = -4
Solution
First, add 20 to both sides: 5x^2 = 20. Then divide by 5: x^2 = 4. Taking the square root gives x = 4 and x = -4.
Correct Answer:
C
— x = 4
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Q. What is the solution to the equation 6x + 2 = 20?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 2 from both sides: 6x = 18. Step 2: Divide by 6: x = 3.
Correct Answer:
B
— x = 3
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Q. What is the solution to the equation 6x + 4 = 10?
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Step 1: Subtract 4 from both sides: 6x = 6. Step 2: Divide both sides by 6: x = 1.
Correct Answer:
A
— x = 1
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Q. What is the solution to the equation 6x + 4 = 34?
-
A.
x = 5
-
B.
x = 6
-
C.
x = 7
-
D.
x = 8
Solution
Step 1: Subtract 4 from both sides: 6x = 30. Step 2: Divide both sides by 6: x = 5.
Correct Answer:
A
— x = 5
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Q. What is the solution to the equation 6x - 4 = 2x + 8?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 2x from both sides: 4x - 4 = 8. Step 2: Add 4 to both sides: 4x = 12. Step 3: Divide by 4: x = 3.
Correct Answer:
B
— x = 3
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Q. What is the solution to the equation 6x - 5 = 19?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Add 5 to both sides: 6x = 24. Step 2: Divide both sides by 6: x = 4.
Correct Answer:
C
— x = 4
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Q. What is the solution to the equation 7x + 1 = 22?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 1 from both sides: 7x = 21. Step 2: Divide both sides by 7: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the solution to the equation 7x + 2 = 23?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Subtract 2 from both sides: 7x = 21. Divide by 7: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the solution to the equation 7x + 2 = 3x + 18?
-
A.
x = 4
-
B.
x = 3
-
C.
x = 5
-
D.
x = 2
Solution
Step 1: Subtract 3x from both sides: 4x + 2 = 18. Step 2: Subtract 2: 4x = 16. Step 3: Divide by 4: x = 4.
Correct Answer:
A
— x = 4
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Q. What is the solution to the equation 7x - 2 = 5x + 6?
-
A.
x = 4
-
B.
x = 3
-
C.
x = 2
-
D.
x = 1
Solution
Step 1: Subtract 5x from both sides: 2x - 2 = 6. Step 2: Add 2 to 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 8 - 2x = 0?
-
A.
x = 2
-
B.
x = 4
-
C.
x = 6
-
D.
x = 8
Solution
Step 1: Subtract 8 from both sides: -2x = -8. Step 2: Divide both sides by -2: x = 4.
Correct Answer:
A
— x = 2
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Q. What is the solution to the equation 8 - 3x = 2?
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Step 1: Subtract 8 from both sides: -3x = -6. Step 2: Divide both sides by -3: x = 2.
Correct Answer:
A
— x = 1
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Q. What is the solution to the equation 9x + 1 = 28?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 1 from both sides: 9x = 27. Step 2: Divide both sides by 9: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the solution to the equation x^2 + 2x - 8 = 0?
-
A.
x = 2, -4
-
B.
x = -2, 4
-
C.
x = 4, -2
-
D.
x = -4, 2
Solution
Factoring gives (x + 4)(x - 2) = 0. Thus, x = -4 or x = 2.
Correct Answer:
C
— x = 4, -2
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Q. What is the solution to the equation x^2 + 4x + 4 = 0?
-
A.
x = -2
-
B.
x = 2
-
C.
x = 0
-
D.
x = -4
Solution
Step 1: Factor the equation: (x + 2)(x + 2) = 0. Step 2: Set the factor to zero: x + 2 = 0. Step 3: Solution is x = -2.
Correct Answer:
A
— x = -2
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Q. What is the solution to the equation x^2 + 5x + 6 = 0?
-
A.
x = -2, -3
-
B.
x = 2, 3
-
C.
x = -1, -6
-
D.
x = 1, 6
Solution
Step 1: Factor the equation: (x + 2)(x + 3) = 0. Step 2: Set each factor to zero: x + 2 = 0 or x + 3 = 0. Solutions are x = -2, -3.
Correct Answer:
A
— x = -2, -3
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Q. What is the solution to the equation x^2 + 6x + 9 = 0?
-
A.
x = -3
-
B.
x = 3
-
C.
x = 0
-
D.
x = -6
Solution
Factor the equation: (x + 3)(x + 3) = 0. Thus, x = -3.
Correct Answer:
A
— x = -3
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Q. What is the solution to the equation x^2 - 7x + 10 = 0?
-
A.
x = 5, 2
-
B.
x = 3, 4
-
C.
x = 1, 10
-
D.
x = 0, 7
Solution
Factoring gives (x - 5)(x - 2) = 0. Thus, x = 5 and x = 2.
Correct Answer:
A
— x = 5, 2
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Q. What is the solution to the equation x^2 - 9 = 0?
-
A.
x = 3
-
B.
x = -3
-
C.
x = 0
-
D.
x = 9
Solution
Factor: (x - 3)(x + 3) = 0. Solutions are x = 3 and x = -3.
Correct Answer:
A
— x = 3
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Q. What is the solution to the inequality 2x + 1 > 3?
-
A.
x < 1
-
B.
x > 1
-
C.
x < 2
-
D.
x > 2
Solution
Subtract 1 from both sides: 2x > 2. Then divide by 2: x > 1.
Correct Answer:
B
— x > 1
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Q. What is the solution to the inequality 2x + 1 > 5?
-
A.
x < 2
-
B.
x > 2
-
C.
x < 3
-
D.
x > 3
Solution
Subtract 1 from both sides: 2x > 4. Then divide by 2: x > 2.
Correct Answer:
B
— x > 2
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Q. What is the solution to the inequality 2x + 1 > 7?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 4
-
D.
x > 4
Solution
Subtract 1 from both sides: 2x > 6. Then divide by 2: x > 3.
Correct Answer:
B
— x > 3
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Q. What is the solution to the inequality 2x + 1 ≥ 3?
-
A.
x ≤ 1
-
B.
x ≥ 1
-
C.
x < 1
-
D.
x > 1
Solution
Subtract 1 from both sides: 2x ≥ 2. Divide by 2: x ≥ 1.
Correct Answer:
B
— x ≥ 1
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Q. What is the solution to the inequality 2x + 3 ≥ 7?
-
A.
x ≤ 2
-
B.
x ≥ 2
-
C.
x < 2
-
D.
x > 2
Solution
Step 1: Subtract 3 from both sides: 2x ≥ 4. Step 2: Divide by 2: x ≥ 2.
Correct Answer:
B
— x ≥ 2
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Q. What is the solution to the inequality 2x + 5 > 15?
-
A.
x < 5
-
B.
x > 5
-
C.
x < 10
-
D.
x > 10
Solution
2x + 5 > 15. Subtract 5 from both sides: 2x > 10. Divide by 2: x > 5.
Correct Answer:
B
— x > 5
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Q. What is the solution to the inequality 2x + 5 ≥ 3?
-
A.
x ≥ -1
-
B.
x ≤ -1
-
C.
x ≥ 1
-
D.
x ≤ 1
Solution
Subtract 5 from both sides: 2x ≥ -2. Then divide by 2: x ≥ -1.
Correct Answer:
A
— x ≥ -1
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Q. What is the solution to the inequality 2x - 3 < 5?
-
A.
x < 4
-
B.
x > 4
-
C.
x < 1
-
D.
x > 1
Solution
Add 3 to both sides: 2x < 8. Divide by 2: x < 4.
Correct Answer:
A
— x < 4
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Q. What is the solution to the inequality 3x + 2 < 11?
-
A.
x < 3
-
B.
x < 4
-
C.
x < 5
-
D.
x < 6
Solution
Subtract 2 from both sides: 3x < 9. Divide by 3: x < 3.
Correct Answer:
B
— x < 4
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Q. What is the solution to the inequality 3x + 5 > 2?
-
A.
x > -1
-
B.
x < -1
-
C.
x > 1
-
D.
x < 1
Solution
Subtract 5 from both sides: 3x > -3. Divide by 3: x > -1.
Correct Answer:
A
— x > -1
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