| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
Solve for x:
+ 1 > 5 - x
| x > -1\(\frac{2}{3}\) | |
| x > -1\(\frac{1}{8}\) | |
| x > 2 | |
| x > 4 |
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.
+ 1 > 5 - x
> 5 - x - 1
+ x > 5 - 1
x > 4
Solve for b:
b2 + 16b + 38 = 3b - 4
| 8 or -8 | |
| 6 or 5 | |
| -6 or -7 | |
| 2 or -8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 + 16b + 38 = 3b - 4
b2 + 16b + 38 + 4 = 3b
b2 + 16b - 3b + 42 = 0
b2 + 13b + 42 = 0
Next, factor the quadratic equation:
b2 + 13b + 42 = 0
(b + 6)(b + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 6) or (b + 7) must equal zero:
If (b + 6) = 0, b must equal -6
If (b + 7) = 0, b must equal -7
So the solution is that b = -6 or -7
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
|
equilateral, isosceles and right |
|
equilateral and right |
|
isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
What is 6a + 4a?
| 2 | |
| 10a | |
| a2 | |
| 24a |
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.
6a + 4a = 10a
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?
| 270π | |
| 30π | |
| 12π | |
| 140π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π