Q. In the expression 5.00 × 10^3 + 2.1 × 10^2, how many significant figures should the final answer have?
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Solution
The term 2.1 × 10^2 has 2 significant figures, so the final answer should be rounded to 2 significant figures.
Correct Answer:
B
— 3
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Q. In the expression 5x + 3y = 15, if x = 2, what is the value of y?
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Solution
Substituting x = 2 into the equation gives 5(2) + 3y = 15, which simplifies to 10 + 3y = 15. Thus, 3y = 5, and y = 5/3.
Correct Answer:
C
— 3
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Q. In the expression 5x + 3y = 20, if x = 2, what is the value of y? (2021)
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Solution
Substituting x = 2 into the equation gives 5(2) + 3y = 20. This simplifies to 10 + 3y = 20, leading to 3y = 10, thus y = 10/3, which is approximately 3.33. The closest integer option is 4.
Correct Answer:
B
— 4
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Q. What is the result of multiplying 2.5 by 3.456, considering significant figures?
A.
8.64
B.
8.6
C.
8.65
D.
8.7
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Solution
2.5 has 2 significant figures and 3.456 has 4 significant figures. The result should be rounded to 2 significant figures, giving 8.6.
Correct Answer:
B
— 8.6
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Q. What is the value of the expression 10 - (3 + 2) × 2?
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Solution
First calculate inside the parentheses: 3 + 2 = 5. Then, 5 × 2 = 10. Finally, 10 - 10 = 0.
Correct Answer:
B
— 1
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Q. What is the value of the expression 10 - 2 × 3 + 4? (2023)
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Solution
Following the order of operations: 10 - 6 + 4 = 8.
Correct Answer:
A
— 8
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Q. What is the value of x in the equation 2x + 4 = 16?
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Solution
Subtracting 4 from both sides gives 2x = 12. Dividing by 2 gives x = 6.
Correct Answer:
C
— 8
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Q. What is the value of x in the equation 3x - 7 = 2?
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Solution
Adding 7 to both sides gives 3x = 9. Dividing by 3 gives x = 3.
Correct Answer:
A
— 1
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Q. What is the value of x in the equation 4(x - 2) = 3(x + 1)?
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Solution
Expanding both sides gives 4x - 8 = 3x + 3. Subtract 3x from both sides: x - 8 = 3. Adding 8 gives x = 11.
Correct Answer:
B
— 1
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Q. When dividing 6.022 × 10^23 by 3.0, how many significant figures should the answer have?
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Solution
The number 3.0 has 2 significant figures, so the result should also be reported with 2 significant figures.
Correct Answer:
B
— 2
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Q. When rounding the number 0.006789 to three significant figures, what is the result?
A.
0.00678
B.
0.00679
C.
0.0067
D.
0.0068
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Solution
Rounding 0.006789 to three significant figures gives 0.00679.
Correct Answer:
B
— 0.00679
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