| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is 3a - 7a?
| -4a | |
| -4 | |
| -4a2 | |
| 21a |
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.
3a - 7a = -4a
What is the circumference of a circle with a diameter of 7?
| 7π | |
| 3π | |
| 17π | |
| 16π |
The formula for circumference is circle diameter x π:
c = πd
c = 7π
Solve for a:
-4a - 4 = \( \frac{a}{-5} \)
| -1\(\frac{1}{19}\) | |
| -\(\frac{8}{23}\) | |
| -\(\frac{10}{17}\) | |
| -1\(\frac{1}{6}\) |
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.
-4a - 4 = \( \frac{a}{-5} \)
-5 x (-4a - 4) = a
(-5 x -4a) + (-5 x -4) = a
20a + 20 = a
20a + 20 - a = 0
20a - a = -20
19a = -20
a = \( \frac{-20}{19} \)
a = -1\(\frac{1}{19}\)
The formula for the area of a circle is which of the following?
a = π d |
|
a = π d2 |
|
a = π r2 |
|
a = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If angle a = 69° and angle b = 37° what is the length of angle d?
| 121° | |
| 125° | |
| 160° | |
| 111° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 69° - 37° = 74°
So, d° = 37° + 74° = 111°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 69° = 111°