Q. What is the simplified form of the expression 2(x + 3) - 4?
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A.
2x + 2
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B.
2x + 6
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C.
2x + 10
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D.
2x - 4
Solution
Step 1: Distribute: 2x + 6 - 4. Step 2: Combine like terms: 2x + 2.
Correct Answer:
B
— 2x + 6
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Q. What is the simplified form of the expression 2√(8) + 3√(2)?
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A.
4√(2)
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B.
6√(2)
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C.
8√(2)
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D.
5√(2)
Solution
Step 1: Simplify 2√(8) = 2 * 2√(2) = 4√(2). Step 2: Combine: 4√(2) + 3√(2) = 7√(2).
Correct Answer:
A
— 4√(2)
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Q. What is the simplified form of the expression 2√18 + 3√8?
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A.
6√2
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B.
12√2
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C.
8√2
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D.
10√2
Solution
Step 1: Simplify √18 = 3√2 and √8 = 2√2. Step 2: Substitute: 2(3√2) + 3(2√2) = 6√2 + 6√2 = 12√2.
Correct Answer:
A
— 6√2
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Q. What is the solution to the equation 7x - 2 = 5x + 6?
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A.
x = 4
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B.
x = 3
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C.
x = 2
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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. Which of the following is the solution to the equation 4x^2 - 12x + 9 = 0?
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A.
x = 1
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B.
x = 2
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C.
x = 3
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D.
x = 4
Solution
Step 1: Factor the equation: (2x - 3)(2x - 3) = 0. Step 2: Set the factor to zero: 2x - 3 = 0. Step 3: Solve for x: x = 3/2.
Correct Answer:
B
— x = 2
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Q. Which of the following is the solution to the inequality 2x + 1 > 3?
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A.
x < 1
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B.
x > 1
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C.
x < 2
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D.
x > 2
Solution
Step 1: Subtract 1 from both sides: 2x > 2. Step 2: Divide by 2: x > 1.
Correct Answer:
B
— x > 1
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Q. Which of the following is the solution to the inequality 2x + 3 ≥ 7?
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A.
x ≤ 2
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B.
x ≥ 2
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C.
x < 2
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D.
x > 2
Solution
Step 1: Subtract 3 from both sides: 2x ≥ 4. Step 2: Divide both sides by 2: x ≥ 2.
Correct Answer:
B
— x ≥ 2
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Q. Which of the following represents the expression 2x^2 + 8x factored?
-
A.
2x(x + 4)
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B.
2(x^2 + 4)
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C.
x(2x + 8)
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D.
2(x + 4)
Solution
Step 1: Factor out the common term 2x: 2x(x + 4).
Correct Answer:
A
— 2x(x + 4)
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