| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
If the base of this triangle is 7 and the height is 2, what is the area?
| 36 | |
| 17\(\frac{1}{2}\) | |
| 20 | |
| 7 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7
A coordinate grid is composed of which of the following?
origin |
|
y-axis |
|
all of these |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Solve for x:
-7x + 4 = \( \frac{x}{-7} \)
| \(\frac{7}{12}\) | |
| 1\(\frac{2}{7}\) | |
| 1 | |
| \(\frac{9}{14}\) |
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.
-7x + 4 = \( \frac{x}{-7} \)
-7 x (-7x + 4) = x
(-7 x -7x) + (-7 x 4) = x
49x - 28 = x
49x - 28 - x = 0
49x - x = 28
48x = 28
x = \( \frac{28}{48} \)
x = \(\frac{7}{12}\)
If side a = 1, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{8} \) | |
| \( \sqrt{26} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{145} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 52
c2 = 1 + 25
c2 = 26
c = \( \sqrt{26} \)
Solve 5a + 9a = -4a + 3y + 3 for a in terms of y.
| -\(\frac{2}{3}\)y + \(\frac{1}{3}\) | |
| -\(\frac{1}{7}\)y + 1 | |
| \(\frac{4}{11}\)y + \(\frac{5}{11}\) | |
| -1\(\frac{3}{5}\)y + 1\(\frac{3}{5}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
5a + 9y = -4a + 3y + 3
5a = -4a + 3y + 3 - 9y
5a + 4a = 3y + 3 - 9y
9a = -6y + 3
a = \( \frac{-6y + 3}{9} \)
a = \( \frac{-6y}{9} \) + \( \frac{3}{9} \)
a = -\(\frac{2}{3}\)y + \(\frac{1}{3}\)