| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.66 |
| Score | 0% | 73% |
If c = 9 and z = 8, what is the value of -2c(c - z)?
| 420 | |
| 0 | |
| -18 | |
| 1024 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-2c(c - z)
-2(9)(9 - 8)
-2(9)(1)
(-18)(1)
-18
If angle a = 54° and angle b = 37° what is the length of angle d?
| 149° | |
| 153° | |
| 150° | |
| 126° |
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° - 54° - 37° = 89°
So, d° = 37° + 89° = 126°
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° - 54° = 126°
What is the circumference of a circle with a diameter of 10?
| 10π | |
| 30π | |
| 14π | |
| 18π |
The formula for circumference is circle diameter x π:
c = πd
c = 10π
A right angle measures:
360° |
|
90° |
|
180° |
|
45° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
What is 3a + 2a?
| 6a | |
| 1 | |
| 5a | |
| 5 |
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 + 2a = 5a