|
1 | When multiplying two exponents with the same base, add the exponents. |
| A) | True |
| B) | False |
|
2 | When multiplying two exponents with the same base, multiply the exponents. |
| A) | True |
| B) | False |
|
3 | On a cold winter day, the temperature rose from -5oC to 20oC. The increase in temperature was equal to 25oC. |
| A) | True |
| B) | False |
|
4 | Three boys have three marbles, and each marble has three blue dots. The total number of dots is 33 or 27. |
| A) | True |
| B) | False |
|
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. |
| A) | True |
| B) | False |
|
6 | If a straight line crosses another straight line at a 90o angle, the adjacent angles are equal. |
| A) | True |
| B) | False |
|
7 | To multiply two numbers in scientific notation, you must subtract the second exponent from the first exponent. |
| A) | True |
| B) | False |
|
8 | The side of a right triangle opposite the right angle can be equal to one of the other sides. |
| A) | True |
| B) | False |
|
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. |
| A) | True |
| B) | False |
|
10 | If two variables increase in proportion to one another, they are said to have an inverse relationship. |
| A) | True |
| B) | False |
|
11 | A positive number multiplied by an even number of negative numbers will always result in which type of number? |
| A) | positive |
| B) | negative |
| C) | exponent |
| D) | fraction |
|
12 | Which of the following formulas is solved for the unknown quantity a? |
| A) | a = 1/2a + b |
| B) | a = 3a - bn |
| C) | a = sin θ/50 |
| D) | θ = sin a/50 |
|
13 | Which of the following is equivalent to the quantity a11/a15? |
| A) | a-4 |
| B) | a26 |
| C) | a4 |
| D) | a1/4 |
|
14 | Which of the following is equivalent to the fourth root of a? |
| A) | a-4 |
| B) | a4 |
| C) | a0 |
| D) | a1/4 |
|
15 | The speed and distance of a certain train are directly related. This means that when the speed increases, the distance does what? |
| A) | increases |
| B) | decreases |
| C) | remains the same |
| D) | may increase or decrease |
|
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? |
| A) | 58 m |
| B) | 4 m |
| C) | about 6.3 m |
| D) | about 7.6 m |
|
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? |
| A) | 0.005 m |
| B) | 5 x 103 m |
| C) | 86 m |
| D) | 50 m |
|
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? |
| A) | about 6.4 x 10-1 m |
| B) | 40° |
| C) | about 230 m |
| D) | about 193 m |
|
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? |
| A) | 90° |
| B) | 30° |
| C) | 60° |
| D) | 150° |
|
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? |
| A) | 30° |
| B) | 180° |
| C) | 0° |
| D) | 270° |
|
21 | When an odd number of negative numbers is multiplied, the answer will always be . |
|
22 | The square of a number is the same as the number raised to a power of . |
|
23 | A number raised to a fractional power can also be expressed as a . |
|
24 | As one quantity increases, another decreases proportionally. These quantities have an relationship. |
|
25 | A relationship using letters to represent variable events in the physical world is a . |
|
26 | A superscript number to the right of a variable is its or . |
|
27 | The longest side of a right triangle is its . |
|
28 | The side of the triangle next to the angle in question is called the angle. |
|
29 | The remaining angle in a right triangle with one 25o angle is . |
|
30 | When two parallel lines are crossed by a single straight line, the alternate interior angles are . |