| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
What is \( \frac{-8z^7}{2z^3} \)?
| -\(\frac{1}{4}\)z-4 | |
| -4z-4 | |
| -4z4 | |
| -4z21 |
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:
\( \frac{-8z^7}{2z^3} \)
\( \frac{-8}{2} \) z(7 - 3)
-4z4
A circular logo is enlarged to fit the lid of a jar. The new diameter is 45% larger than the original. By what percentage has the area of the logo increased?
| 22\(\frac{1}{2}\)% | |
| 37\(\frac{1}{2}\)% | |
| 27\(\frac{1}{2}\)% | |
| 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 45% the radius (and, consequently, the total area) increases by \( \frac{45\text{%}}{2} \) = 22\(\frac{1}{2}\)%
Charlie loaned Charlie $1,000 at an annual interest rate of 5%. If no payments are made, what is the interest owed on this loan at the end of the first year?
| $14 | |
| $32 | |
| $50 | |
| $64 |
The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:
interest = annual interest rate x loan amount
i = (\( \frac{6}{100} \)) x $1,000
i = 0.05 x $1,000
i = $50
Which of the following statements about exponents is false?
b0 = 1 |
|
all of these are false |
|
b1 = b |
|
b1 = 1 |
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).
The __________ is the greatest factor that divides two integers.
greatest common multiple |
|
greatest common factor |
|
absolute value |
|
least common multiple |
The greatest common factor (GCF) is the greatest factor that divides two integers.