Q. What is the value of x in the equation 3x^2 + 12x + 12 = 0?
-
A.
x = -2
-
B.
x = -4
-
C.
x = 0
-
D.
x = 2
Solution
Divide the equation by 3: x^2 + 4x + 4 = 0. Factor: (x + 2)(x + 2) = 0, giving x = -2.
Correct Answer:
B
— x = -4
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Q. What is the value of x in the equation 3x^2 - 12 = 0?
Solution
Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Take the square root: x = 2 or x = -2.
Correct Answer:
A
— 2
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Q. What is the value of x in the equation 4(x - 1) = 2(x + 3)?
-
A.
x = 5
-
B.
x = 4
-
C.
x = 3
-
D.
x = 2
Solution
Step 1: Distribute: 4x - 4 = 2x + 6. Step 2: Subtract 2x from both sides: 2x - 4 = 6. Step 3: Add 4: 2x = 10. Step 4: Divide by 2: x = 5.
Correct Answer:
C
— x = 3
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Q. What is the value of x in the equation 4(x - 1) = 2x + 6?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Distribute: 4x - 4 = 2x + 6. Subtract 2x from both sides: 2x - 4 = 6. Add 4: 2x = 10. Divide by 2: x = 5.
Correct Answer:
B
— x = 3
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Q. What is the value of x in the equation 4x + 5 = 2x + 17?
Solution
Step 1: Subtract 2x from both sides: 2x + 5 = 17. Step 2: Subtract 5 from both sides: 2x = 12. Step 3: Divide by 2: x = 6.
Correct Answer:
A
— 3
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Q. What is the value of x in the equation 4x - 12 = 0?
Solution
Add 12 to both sides: 4x = 12. Then divide by 4: x = 3.
Correct Answer:
A
— 3
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Q. What is the value of x in the equation 4x - 7 = 5?
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Add 7 to both sides: 4x = 12. Then divide by 4: x = 3.
Correct Answer:
B
— x = 2
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Q. What is the value of x in the equation 4x - 7 = 5x + 2?
-
A.
x = -9
-
B.
x = 11
-
C.
x = 1
-
D.
x = -1
Solution
Step 1: Subtract 4x from both sides: -7 = x + 2. Step 2: Subtract 2 from both sides: -9 = x. Therefore, x = -9.
Correct Answer:
C
— x = 1
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Q. What is the value of x in the equation 4x^2 - 12x + 9 = 0?
Solution
Factor the equation: (2x - 3)(2x - 3) = 0. Thus, x = 3.
Correct Answer:
C
— 3
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Q. What is the value of x in the equation 4x^2 - 12x = 0?
-
A.
x = 0 or x = 3
-
B.
x = 1 or x = 4
-
C.
x = 2 or x = 6
-
D.
x = -3 or x = 4
Solution
Factor: 4x(x - 3) = 0. So, x = 0 or x = 3.
Correct Answer:
A
— x = 0 or x = 3
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Q. What is the value of x in the equation 4x^2 - 16 = 0?
-
A.
x = 2
-
B.
x = -2
-
C.
x = 4
-
D.
x = -4
Solution
Step 1: Add 16 to both sides: 4x^2 = 16. Step 2: Divide by 4: x^2 = 4. Step 3: Take the square root: x = 2 or x = -2.
Correct Answer:
A
— x = 2
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Q. What is the value of x in the equation 5(x - 1) = 20?
-
A.
x = 3
-
B.
x = 4
-
C.
x = 5
-
D.
x = 6
Solution
Divide both sides by 5: x - 1 = 4. Then add 1: x = 5.
Correct Answer:
B
— x = 4
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Q. What is the value of x in the equation 5(x - 1) = 3x + 7?
-
A.
x = 4
-
B.
x = 5
-
C.
x = 6
-
D.
x = 3
Solution
Step 1: Distribute: 5x - 5 = 3x + 7. Step 2: Subtract 3x from both sides: 2x - 5 = 7. Step 3: Add 5: 2x = 12. Step 4: Divide by 2: x = 6.
Correct Answer:
A
— x = 4
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Q. What is the value of x in the equation 5x + 2 = 3x + 10?
-
A.
x = 4
-
B.
x = 3
-
C.
x = 2
-
D.
x = 1
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 value of x in the equation 5x + 3 = 18?
-
A.
x = 3
-
B.
x = 4
-
C.
x = 5
-
D.
x = 2
Solution
To solve 5x + 3 = 18, subtract 3 from both sides: 5x = 15. Then divide by 5: x = 3.
Correct Answer:
B
— x = 4
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Q. What is the value of x in the equation 5x - 2 = 3x + 6?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Subtract 3x 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 value of x in the equation 5x^2 - 20 = 0?
-
A.
x = 0
-
B.
x = 2
-
C.
x = -2
-
D.
x = 4
Solution
Add 20 to both sides: 5x^2 = 20. Divide by 5: x^2 = 4. Take the square root: x = ±2.
Correct Answer:
B
— x = 2
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Q. What is the value of x in 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 both sides by 6: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the value of x in the equation 6x - 2 = 4?
-
A.
x = 0
-
B.
x = 1
-
C.
x = 2
-
D.
x = 3
Solution
Step 1: Add 2 to both sides: 6x = 6. Step 2: Divide both sides by 6: x = 1.
Correct Answer:
B
— x = 1
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Q. What is the value of x in the equation 7x + 2 = 23?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Subtract 2: 7x = 21. Divide by 7: x = 3.
Correct Answer:
C
— x = 4
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Q. What is the value of x in the equation 7x - 14 = 0?
-
A.
x = 0
-
B.
x = 1
-
C.
x = 2
-
D.
x = 3
Solution
Step 1: Add 14 to both sides: 7x = 14. Step 2: Divide both sides by 7: x = 2.
Correct Answer:
C
— x = 2
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Q. What is the value of x in the equation 7x - 2 = 5x + 6?
Solution
Subtract 5x from both sides: 2x - 2 = 6. Add 2 to both sides: 2x = 8. Divide by 2: x = 4.
Correct Answer:
A
— 1
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Q. What is the value of x in the equation x/3 + 2 = 5?
-
A.
x = 9
-
B.
x = 6
-
C.
x = 3
-
D.
x = 12
Solution
Step 1: Subtract 2 from both sides: x/3 = 3. Step 2: Multiply both sides by 3: x = 9.
Correct Answer:
A
— x = 9
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Q. What is the value of x in the equation x^2 + 2x - 15 = 0?
-
A.
x = 3, -5
-
B.
x = -3, 5
-
C.
x = 5, -3
-
D.
x = -5, 3
Solution
Factoring gives (x - 3)(x + 5) = 0. Thus, x = 3 or x = -5.
Correct Answer:
C
— x = 5, -3
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Q. What is the value of x in the equation x^2 + 4x + 4 = 0?
Solution
Factor the quadratic: (x + 2)(x + 2) = 0. Thus, x = -2.
Correct Answer:
A
— -2
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Q. What is the value of x in the equation x^2 + 6x + 9 = 0?
Solution
This is a perfect square trinomial: (x + 3)^2 = 0. Therefore, x + 3 = 0, which gives x = -3.
Correct Answer:
A
— -3
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Q. What is the value of x in the equation x^2 - 16 = 0?
-
A.
x = 4
-
B.
x = -4
-
C.
x = 0
-
D.
x = ±4
Solution
Factor the equation: (x - 4)(x + 4) = 0. Thus, x = 4 or x = -4.
Correct Answer:
D
— x = ±4
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Q. What is the value of x in the equation x^2 - 4 = 0?
-
A.
-2
-
B.
2
-
C.
0
-
D.
Both -2 and 2
Solution
Step 1: Factor the equation: (x - 2)(x + 2) = 0. Step 2: Set each factor to zero: x - 2 = 0 or x + 2 = 0. Solutions are x = 2 and x = -2.
Correct Answer:
D
— Both -2 and 2
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Q. What is the value of x in the equation x^2 - 5x + 6 = 0?
Solution
Step 1: Factor the quadratic: (x - 2)(x - 3) = 0. Step 2: Set each factor to zero: x - 2 = 0 or x - 3 = 0. Step 3: Solutions are x = 2 or x = 3.
Correct Answer:
C
— 3
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Q. What is the value of x in the equation x^2 - 9 = 0?
-
A.
x = 3
-
B.
x = -3
-
C.
x = 0
-
D.
x = ±3
Solution
Step 1: Factor the equation: (x - 3)(x + 3) = 0. Step 2: Set each factor to zero: x - 3 = 0 or x + 3 = 0. Step 3: Solutions are x = 3 and x = -3.
Correct Answer:
D
— x = ±3
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