Maths-
SAT
Easy
Question
2x(x2 + 1) + (2x2 − 2x)
Which of the following expressions is equivalent to the expression above?
- 4x2
- 2x2 + 2x
- 2x3 + 2x2
- 2x3 + 2x2 − 4x
The correct answer is: 2x3 + 2x2
= 2 × (x2 + 1) + 2x2 – 2x
= 2x3 + 2x + 2x2 -2x
= 2x3 + 2x2
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One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?
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A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
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Recommended Daily Intake of Potassium
|
Age |
Potassium (mg) |
| 0-6 months |
400 |
| 7-11 months |
700 |
| 1-3 years |
3,000 |
| 4-8 years |
3,800 |
| 9-13 years |
4,500 |
| 14-17 years |
4,700 |
| 18 years and up |
4,700 |
The recommended daily intake of potassium for an eight-month-old child is what fraction of that recommended for a two-year-old child?
Recommended Daily Intake of Potassium
|
Age |
Potassium (mg) |
| 0-6 months |
400 |
| 7-11 months |
700 |
| 1-3 years |
3,000 |
| 4-8 years |
3,800 |
| 9-13 years |
4,500 |
| 14-17 years |
4,700 |
| 18 years and up |
4,700 |
The recommended daily intake of potassium for an eight-month-old child is what fraction of that recommended for a two-year-old child?
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Recommended Daily Intake of Potassium
|
Age |
Potassium (mg) |
| 0-6 months |
400 |
| 7-11 months |
700 |
| 1-3 years |
3,000 |
| 4-8 years |
3,800 |
| 9-13 years |
4,500 |
| 14-17 years |
4,700 |
| 18 years and up |
4,700 |
Andrea's recommended daily intake of potassium is 50% greater than that of her two-year-old brother. What is the least possible age, in years, of Andrea?
Recommended Daily Intake of Potassium
|
Age |
Potassium (mg) |
| 0-6 months |
400 |
| 7-11 months |
700 |
| 1-3 years |
3,000 |
| 4-8 years |
3,800 |
| 9-13 years |
4,500 |
| 14-17 years |
4,700 |
| 18 years and up |
4,700 |
Andrea's recommended daily intake of potassium is 50% greater than that of her two-year-old brother. What is the least possible age, in years, of Andrea?
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Note: Figure not drawn to scale.
In the figure above, ABC and DEC are right triangles. If CD = 20 and the tangent of angle ABC is 2.5, what is the length of segment ED ?
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Lines t and w are parallel in the xy-plane. The equation of line t is 4x + 7 y = 14, and line w passes through (-3, 8). What is the value of they-intercept of line w?
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|
Location |
2009 |
2010 |
2011 |
2012 |
2013 |
| Amusement Park A |
15.7 |
15.2 |
14.4 |
14.1 |
12.3 |
| Amusement Park B |
15.9 |
16.0 |
16.1 |
16.0 |
16.2 |
The numbers of people, in millions, who visited Amusement Park A and Amusement Park B in 2009 through 2013 are listed in the table below. What is the positive difference between the mean number of people, in millions, who visited Amusement Park B · and the mean number of people, in millions, who visited Amusement Park A during those years? (Round your answer to the nearest tenth.)
|
Location |
2009 |
2010 |
2011 |
2012 |
2013 |
| Amusement Park A |
15.7 |
15.2 |
14.4 |
14.1 |
12.3 |
| Amusement Park B |
15.9 |
16.0 |
16.1 |
16.0 |
16.2 |
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p = 9n - (2n + k)
The profit p, in dollars, from producing and selling n units of a certain product is given by the equation above, where k is a constant. If200 units are produced and sold for a profit of $1275, what is the value of k?
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The profit p, in dollars, from producing and selling n units of a certain product is given by the equation above, where k is a constant. If200 units are produced and sold for a profit of $1275, what is the value of k?
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y=x2 -6x - 16
The graph of the equation above in the xy-plane is a parabola. Which of the following equivalent forms of the equation includes the x- and y-coordinates of the
vertex as constants?
y=x2 -6x - 16
The graph of the equation above in the xy-plane is a parabola. Which of the following equivalent forms of the equation includes the x- and y-coordinates of the
vertex as constants?
Maths-SAT
