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1 | |
When multiplying two exponents with the same base, add the exponents. |
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| | A) | True |
| | B) | False |
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2 | |
When multiplying two exponents with the same base, multiply the exponents. |
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| | A) | True |
| | B) | False |
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3 | |
On a cold winter day, the temperature rose from -5oC to 20oC. The increase in temperature was equal to 25oC. |
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| | A) | True |
| | B) | False |
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4 | |
Three boys have three marbles, and each marble has three blue dots. The total number of dots is 33 or 27. |
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| | A) | True |
| | B) | False |
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5 | |
Thirty-two apples, or 25, are to be divided equally among 16 people, or 24. Since 25/24 = 25-4, or 21, each person gets two apples. |
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| | A) | True |
| | B) | False |
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6 | |
If a straight line crosses another straight line at a 90o angle, the adjacent angles are equal. |
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| | A) | True |
| | B) | False |
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7 | |
To multiply two numbers in scientific notation, you must subtract the second exponent from the first exponent. |
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| | A) | True |
| | B) | False |
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8 | |
The side of a right triangle opposite the right angle can be equal to one of the other sides. |
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| | A) | True |
| | B) | False |
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9 | |
If you know the length of one side of a right triangle and the size of the right angle, you can find the other two sides and two angles. |
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| | A) | True |
| | B) | False |
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10 | |
If two variables increase in proportion to one another, they are said to have an inverse relationship. |
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| | A) | True |
| | B) | False |
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11 | |
A positive number multiplied by an even number of negative numbers will always result in which type of number? |
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| | A) | positive |
| | B) | negative |
| | C) | exponent |
| | D) | fraction |
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12 | |
Which of the following formulas is solved for the unknown quantity a? |
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| | A) | a = 1/2a + b |
| | B) | a = 3a - bn |
| | C) | a = sin θ/50 |
| | D) | θ = sin a/50 |
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13 | |
Which of the following is equivalent to the quantity a11/a15? |
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| | A) | a-4 |
| | B) | a26 |
| | C) | a4 |
| | D) | a1/4 |
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14 | |
Which of the following is equivalent to the fourth root of a? |
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| | A) | a-4 |
| | B) | a4 |
| | C) | a0 |
| | D) | a1/4 |
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15 | |
The speed and distance of a certain train are directly related. This means that when the speed increases, the distance does what? |
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| | A) | increases |
| | B) | decreases |
| | C) | remains the same |
| | D) | may increase or decrease |
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16 | |
A ladder base is 3 m away from a house, and the fully extended ladder is 7 m long when it leans against the house. How high does the ladder reach on the house? |
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| | A) | 58 m |
| | B) | 4 m |
| | C) | about 6.3 m |
| | D) | about 7.6 m |
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17 | |
An anchor holding a boat stationary on a river forms a 30° angle with the river bottom. The anchor line is 100 m long. Assuming that the river has a uniform
depth, how deep is the river directly below the boat? |
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| | A) | 0.005 m |
| | B) | 5 x 103 m |
| | C) | 86 m |
| | D) | 50 m |
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18 | |
To make a bridge across the swift-flowing upper Niagara river, it was necessary to fly a kite across in order to span the river for the first time. If 300 m of kite string was let out as the kite was directly over the opposite bank, and the kite
string formed a 50° angle with the level ground, how wide was the river span? |
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| | A) | about 6.4 x 10-1 m |
| | B) | 40° |
| | C) | about 230 m |
| | D) | about 193 m |
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19 | |
Two parallel crosswalk lines cross a street at a 30o angle to connect a pedestrian mall. What is the largest angle formed by the intersection of the crosswalk lines and the street? |
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| | A) | 90° |
| | B) | 30° |
| | C) | 60° |
| | D) | 150° |
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20 | |
At 5 minutes after the hour, a minute arm forms a 30° angle. At 15 minutes, it forms a 90° angle, and at 20 minutes it forms a 120° angle. What angle will it form at 30 minutes? |
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| | A) | 30° |
| | B) | 180° |
| | C) | 0° |
| | D) | 270° |
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21 | |
When an odd number of negative numbers is multiplied, the answer will always be . |
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22 | |
The square of a number is the same as the number raised to a power of . |
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23 | |
A number raised to a fractional power can also be expressed as a . |
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24 | |
As one quantity increases, another decreases proportionally. These quantities have an relationship. |
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25 | |
A relationship using letters to represent variable events in the physical world is a . |
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26 | |
A superscript number to the right of a variable is its or . |
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27 | |
The longest side of a right triangle is its . |
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28 | |
The side of the triangle next to the angle in question is called the angle. |
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29 | |
The remaining angle in a right triangle with one 25o angle is . |
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30 | |
When two parallel lines are crossed by a single straight line, the alternate interior angles are . |
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