| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.20 |
| Score | 0% | 64% |
If side x = 11cm, side y = 13cm, and side z = 6cm what is the perimeter of this triangle?
| 22cm | |
| 33cm | |
| 36cm | |
| 30cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 11cm + 13cm + 6cm = 30cm
Find the value of a:
-9a + y = -7
-7a + 2y = 3
| 1\(\frac{1}{2}\) | |
| -3 | |
| \(\frac{4}{5}\) | |
| 1\(\frac{6}{11}\) |
You need to find the value of a so solve the first equation in terms of y:
-9a + y = -7
y = -7 + 9a
then substitute the result (-7 - -9a) into the second equation:
-7a + 2(-7 + 9a) = 3
-7a + (2 x -7) + (2 x 9a) = 3
-7a - 14 + 18a = 3
-7a + 18a = 3 + 14
11a = 17
a = \( \frac{17}{11} \)
a = 1\(\frac{6}{11}\)
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for x:
5x - 1 < \( \frac{x}{4} \)
| x < 3\(\frac{6}{19}\) | |
| x < 3 | |
| x < \(\frac{4}{19}\) | |
| x < \(\frac{36}{73}\) |
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.
5x - 1 < \( \frac{x}{4} \)
4 x (5x - 1) < x
(4 x 5x) + (4 x -1) < x
20x - 4 < x
20x - 4 - x < 0
20x - x < 4
19x < 4
x < \( \frac{4}{19} \)
x < \(\frac{4}{19}\)
What is 4a2 + 7a2?
| -3a4 | |
| -3 | |
| 28a4 | |
| 11a2 |
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 + 7a2 = 11a2