| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.52 |
| Score | 0% | 70% |
What is 8a + 7a?
| a2 | |
| 15 | |
| 15a | |
| 1 |
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.
8a + 7a = 15a
Solve for z:
z2 - 7z - 8 = 0
| -7 or -9 | |
| 3 or -3 | |
| -1 or 8 | |
| 7 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 7z - 8 = 0
(z + 1)(z - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 8) must equal zero:
If (z + 1) = 0, z must equal -1
If (z - 8) = 0, z must equal 8
So the solution is that z = -1 or 8
If a = 4, b = 1, c = 8, and d = 1, what is the perimeter of this quadrilateral?
| 22 | |
| 8 | |
| 14 | |
| 31 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 1 + 8 + 1
p = 14
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
|
h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If the base of this triangle is 4 and the height is 9, what is the area?
| 31\(\frac{1}{2}\) | |
| 52 | |
| 18 | |
| 78 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 9 = \( \frac{36}{2} \) = 18