Nokea
Solve this equation:
2x+8=0
- A. -4
- B. 3
- C. 5
Correct Answer: A
Rationale: To solve
2
x
+
8
=
0
2x+8=0:
Subtract 8 from both sides:
2
x
=
−
8
2x=−8
Divide both sides by 2:
x
=
−
8
2
=
−
4
x=
2
−8
​
=−4
Therefore, the solution is
x
=
−
4
x=−4.
You may also like to solve these questions
Express the solution to the following problem in decimal form:
- A. 0.042
- B. 84%
- C. 0.84
- D. 0.42
Correct Answer: C
Rationale: The correct answer is C: 0.84. To convert a percentage to a decimal, you divide the percentage value by 100. In this case, 84% divided by 100 equals 0.84. Choice A, 0.042, is not the correct conversion of 84%. Choice B, 84%, is already in percentage form and needs to be converted to a decimal. Choice D, 0.42, is not the correct conversion of 84% either. Therefore, the correct decimal form of 84% is 0.84.
Simplify the following expression: 5/9 15/36
- A. 5/36
- B. 8/27
- C. 10/17
- D. 15/27
Correct Answer: A
Rationale: To simplify the given expression, multiply the numerators together and the denominators together.
5/9 15/36 = (5 15) / (9 36) = 75 / 324.
Now, simplify the resulting fraction by finding the greatest common divisor (GCD) of 75 and 324, which is 3. Divide both the numerator and denominator by 3 to get the simplified fraction: 75 · 3 / 324 · 3 = 25 / 108.
Therefore, the simplified form of 5/9 15/36 is 25/108, which is equivalent to 5/36.
Choice A, 5/36, is the correct answer.
Choice B, 8/27, is incorrect as it does not match the simplified form of the expression.
Choice C, 10/17, is unrelated and does not result from the given multiplication.
Choice D, 15/27, does not correspond to the simplification of the given expression.
Which of the following numbers has the greatest value?
- A. 1.4378
- B. 1.07548
- C. 1.43592
- D. 0.89409
Correct Answer: B
Rationale: To determine the number with the greatest value among the options, focus on the digit in the tenths place. In this case, 1.07548 has the highest value as it has the digit 7 in the tenths place. Comparing this to the other numbers, 1.4378, 1.43592, and 0.89409 have 4, 3, and 8 in the tenths place, respectively. Therefore, 1.07548 is the number with the greatest value as it has the highest digit in the tenths place.
The total perimeter of a rectangle is 36 cm. If the length of each side is 12 cm, what is the width?
- A. 3 cm
- B. 12 cm
- C. 6 cm
- D. 8 cm
Correct Answer: C
Rationale: The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. Given that the total perimeter is 36 cm and each side's length is 12 cm, we substitute the values into the formula: 36 = 2(12 + w). Solving for w gives us w = 6. Therefore, the width of the rectangle is 6 cm. Choice A (3 cm) is incorrect because the width is not half of the length. Choice B (12 cm) is the length, not the width. Choice D (8 cm) is incorrect as it does not match the calculated width of 6 cm.
Which measure for the center of a small sample set would be most affected by outliers?
- A. Mean
- B. Median
- C. Mode
- D. None of the above
Correct Answer: A
Rationale: The mean is calculated by summing all values in a dataset and then dividing by the total number of values. Outliers, which are data points significantly different from the other values, can greatly impact the mean because they affect the sum. The mean is sensitive to extreme values, making it the measure for the center of a small sample set most affected by outliers. The median, on the other hand, is not influenced by outliers as it represents the middle value when the data points are ordered. The mode is the value that appears most frequently in the dataset and is not directly influenced by outliers. Therefore, the correct answer is the mean, as it is highly influenced by outliers in a small sample set.