| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
What is 4a2 - 6a2?
| -2a2 | |
| -2a4 | |
| 10 | |
| 24a2 |
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.
4a2 - 6a2 = -2a2
The dimensions of this trapezoid are a = 6, b = 5, c = 9, d = 4, and h = 4. What is the area?
| 27\(\frac{1}{2}\) | |
| 22\(\frac{1}{2}\) | |
| 18 | |
| 22 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 4)(4)
a = ½(9)(4)
a = ½(36) = \( \frac{36}{2} \)
a = 18
What is 3a2 + 4a2?
| 7a2 | |
| 12a2 | |
| 7 | |
| a24 |
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.
3a2 + 4a2 = 7a2
Solve for z:
z + 8 = \( \frac{z}{-1} \)
| -4 | |
| 1\(\frac{7}{41}\) | |
| -1\(\frac{1}{71}\) | |
| -1\(\frac{1}{17}\) |
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 equal sign and the answer on the other.
z + 8 = \( \frac{z}{-1} \)
-1 x (z + 8) = z
(-1 x z) + (-1 x 8) = z
-z - 8 = z
-z - 8 - z = 0
-z - z = 8
-2z = 8
z = \( \frac{8}{-2} \)
z = -4
If side x = 11cm, side y = 12cm, and side z = 7cm what is the perimeter of this triangle?
| 24cm | |
| 30cm | |
| 28cm | |
| 32cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 12cm + 7cm = 30cm