| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Solve for a:
a2 + 16a + 64 = 0
| 4 or -8 | |
| -8 | |
| 1 or -4 | |
| 3 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 16a + 64 = 0
(a + 8)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (a + 8) must equal zero:
If (a + 8) = 0, a must equal -8
So the solution is that a = -8
On this circle, line segment AB is the:
radius |
|
chord |
|
circumference |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
What is 2a - 5a?
| a2 | |
| -3a | |
| 10a | |
| 10a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a - 5a = -3a
Simplify (y - 1)(y + 1)
| 45 | |
| y2 - 1 | |
| y2 + 2y + 1 | |
| y2 - 2y + 1 |
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 - 1)(y + 1)
(y x y) + (y x 1) + (-1 x y) + (-1 x 1)
y2 + y - y - 1
y2 - 1
Simplify 3a x 6b.
| 18\( \frac{a}{b} \) | |
| 18\( \frac{b}{a} \) | |
| 18ab | |
| 9ab |
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.
3a x 6b = (3 x 6) (a x b) = 18ab