| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.42 |
| Score | 0% | 48% |
Factor y2 - 6y + 9
| (y + 3)(y + 3) | |
| (y + 3)(y - 3) | |
| (y - 3)(y - 3) | |
| (y - 3)(y + 3) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 9 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -3 and -3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 6y + 9
y2 + (-3 - 3)y + (-3 x -3)
(y - 3)(y - 3)
If a = -2 and x = -8, what is the value of -8a(a - x)?
| 165 | |
| 135 | |
| 96 | |
| -16 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-8a(a - x)
-8(-2)(-2 + 8)
-8(-2)(6)
(16)(6)
96
Solve for y:
-2y + 1 > -6 - 3y
| y > 8 | |
| y > -7 | |
| y > 1\(\frac{1}{7}\) | |
| y > \(\frac{4}{5}\) |
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.
-2y + 1 > -6 - 3y
-2y > -6 - 3y - 1
-2y + 3y > -6 - 1
y > -7
Which of the following is not required to define the slope-intercept equation for a line?
x-intercept |
|
\({\Delta y \over \Delta x}\) |
|
y-intercept |
|
slope |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π d |
|
c = π d2 |
|
c = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.