| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
What is (x2)3?
| x6 | |
| x-1 | |
| 2x3 | |
| x |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(x2)3A circular logo is enlarged to fit the lid of a jar. The new diameter is 60% larger than the original. By what percentage has the area of the logo increased?
| 27\(\frac{1}{2}\)% | |
| 25% | |
| 30% | |
| 15% |
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 60% the radius (and, consequently, the total area) increases by \( \frac{60\text{%}}{2} \) = 30%
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Frank buys two shirts, each with a regular price of $12, how much money will he save?
| $3.60 | |
| $4.20 | |
| $5.40 | |
| $0.60 |
By buying two shirts, Frank will save $12 x \( \frac{35}{100} \) = \( \frac{$12 x 35}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.
Which of the following statements about exponents is false?
b1 = 1 |
|
b1 = b |
|
b0 = 1 |
|
all of these are false |
A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).
What is -6z6 x 3z4?
| -3z10 | |
| -18z10 | |
| -3z6 | |
| -18z6 |
To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:
-6z6 x 3z4
(-6 x 3)z(6 + 4)
-18z10