| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
Solve for y:
3y + 3 > -4 + 5y
| y > \(\frac{3}{4}\) | |
| y > 1\(\frac{1}{4}\) | |
| y > 3\(\frac{1}{2}\) | |
| y > -1\(\frac{3}{5}\) |
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.
3y + 3 > -4 + 5y
3y > -4 + 5y - 3
3y - 5y > -4 - 3
-2y > -7
y > \( \frac{-7}{-2} \)
y > 3\(\frac{1}{2}\)
What is 6a3 - 8a3?
| 48a6 | |
| -2a3 | |
| -2 | |
| -2a6 |
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.
6a3 - 8a3 = -2a3
What is the circumference of a circle with a radius of 8?
| 12π | |
| 34π | |
| 16π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 8)
c = 16π
Solve 5b + 6b = 3b + x + 2 for b in terms of x.
| -2\(\frac{1}{2}\)x + 1 | |
| -7x + 2 | |
| -\(\frac{1}{3}\)x + \(\frac{5}{6}\) | |
| -5\(\frac{1}{2}\)x + 3\(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
5b + 6x = 3b + x + 2
5b = 3b + x + 2 - 6x
5b - 3b = x + 2 - 6x
2b = -5x + 2
b = \( \frac{-5x + 2}{2} \)
b = \( \frac{-5x}{2} \) + \( \frac{2}{2} \)
b = -2\(\frac{1}{2}\)x + 1
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
|
trapezoid |
|
triangle |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.