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This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.
associative |
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commutative |
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distributive |
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PEDMAS |
The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.
A circular logo is enlarged to fit the lid of a jar. The new diameter is 35% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 30% | |
| 17\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% |
The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 35% the radius (and, consequently, the total area) increases by \( \frac{35\text{%}}{2} \) = 17\(\frac{1}{2}\)%
What is the distance in miles of a trip that takes 5 hours at an average speed of 55 miles per hour?
| 275 miles | |
| 75 miles | |
| 160 miles | |
| 495 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 55mph \times 5h \)
275 miles
What is the next number in this sequence: 1, 9, 17, 25, 33, __________ ?
| 41 | |
| 37 | |
| 47 | |
| 46 |
The equation for this sequence is:
an = an-1 + 8
where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:
a6 = a5 + 8
a6 = 33 + 8
a6 = 41
What is \( \frac{-5b^6}{8b^2} \)?
| -\(\frac{5}{8}\)b8 | |
| -1\(\frac{3}{5}\)b8 | |
| -1\(\frac{3}{5}\)b4 | |
| -\(\frac{5}{8}\)b4 |
To divide terms with exponents, the base of both exponents must be the same. In this case they are so divide the coefficients and subtract the exponents:
\( \frac{-5b^6}{8b^2} \)
\( \frac{-5}{8} \) b(6 - 2)
-\(\frac{5}{8}\)b4