| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.40 |
| Score | 0% | 68% |
Simplify 5a x 3b.
| 15\( \frac{a}{b} \) | |
| 15\( \frac{b}{a} \) | |
| 15ab | |
| 8ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 3b = (5 x 3) (a x b) = 15ab
What is the area of a circle with a diameter of 8?
| 81π | |
| 5π | |
| 16π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
|
right angle |
|
parallel |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for b:
-6b + 2 > 8 + 6b
| b > \(\frac{1}{4}\) | |
| b > -\(\frac{3}{4}\) | |
| b > \(\frac{4}{9}\) | |
| b > -\(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-6b + 2 > 8 + 6b
-6b > 8 + 6b - 2
-6b - 6b > 8 - 2
-12b > 6
b > \( \frac{6}{-12} \)
b > -\(\frac{1}{2}\)
Simplify (y + 3)(y + 7)
| y2 - 4y - 21 | |
| y2 - 10y + 21 | |
| y2 + 10y + 21 | |
| y2 + 4y - 21 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 3)(y + 7)
(y x y) + (y x 7) + (3 x y) + (3 x 7)
y2 + 7y + 3y + 21
y2 + 10y + 21