| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.56 |
| Score | 0% | 71% |
What is 5a - 8a?
| -3a2 | |
| 40a | |
| 40a2 | |
| -3a |
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.
5a - 8a = -3a
If a = 9, b = 1, c = 8, and d = 9, what is the perimeter of this quadrilateral?
| 28 | |
| 27 | |
| 12 | |
| 13 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 1 + 8 + 9
p = 27
What is 8a4 + 2a4?
| a48 | |
| 10a4 | |
| 16a4 | |
| 6 |
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.
8a4 + 2a4 = 10a4
Solve for z:
z2 - 13z - 8 = -5z + 1
| 9 or -4 | |
| 4 or -6 | |
| 5 or -6 | |
| -1 or 9 |
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:
z2 - 13z - 8 = -5z + 1
z2 - 13z - 8 - 1 = -5z
z2 - 13z + 5z - 9 = 0
z2 - 8z - 9 = 0
Next, factor the quadratic equation:
z2 - 8z - 9 = 0
(z + 1)(z - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 9) must equal zero:
If (z + 1) = 0, z must equal -1
If (z - 9) = 0, z must equal 9
So the solution is that z = -1 or 9
If a = c = 1, b = d = 3, and the blue angle = 79°, what is the area of this parallelogram?
| 24 | |
| 3 | |
| 40 | |
| 32 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 3
a = 3