| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
What is 6a5 + 2a5?
| 8 | |
| 4a10 | |
| a510 | |
| 8a5 |
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.
6a5 + 2a5 = 8a5
A quadrilateral is a shape with __________ sides.
3 |
|
4 |
|
2 |
|
5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = c = 3, b = d = 1, what is the area of this rectangle?
| 4 | |
| 20 | |
| 16 | |
| 3 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 1
a = 3
Solve for z:
z2 + 4z - 53 = 2z - 5
| -9 or -9 | |
| -6 or -7 | |
| 6 or -8 | |
| -1 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:
z2 + 4z - 53 = 2z - 5
z2 + 4z - 53 + 5 = 2z
z2 + 4z - 2z - 48 = 0
z2 + 2z - 48 = 0
Next, factor the quadratic equation:
z2 + 2z - 48 = 0
(z - 6)(z + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z + 8) must equal zero:
If (z - 6) = 0, z must equal 6
If (z + 8) = 0, z must equal -8
So the solution is that z = 6 or -8
What is 4a9 - 6a9?
| -2a9 | |
| 24a18 | |
| 24a9 | |
| 10a18 |
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.
4a9 - 6a9 = -2a9