| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
Solve for a:
-a - 4 = 6 - 2a
| 10 | |
| \(\frac{1}{3}\) | |
| -2 | |
| -\(\frac{1}{9}\) |
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.
-a - 4 = 6 - 2a
-a = 6 - 2a + 4
-a + 2a = 6 + 4
a = 10
If b = -6 and x = -8, what is the value of -3b(b - x)?
| -576 | |
| 36 | |
| -30 | |
| 7 |
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.)
-3b(b - x)
-3(-6)(-6 + 8)
-3(-6)(2)
(18)(2)
36
The dimensions of this trapezoid are a = 6, b = 2, c = 9, d = 6, and h = 4. What is the area?
| 15 | |
| 6 | |
| 18 | |
| 16 |
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(2 + 6)(4)
a = ½(8)(4)
a = ½(32) = \( \frac{32}{2} \)
a = 16
If the length of AB equals the length of BD, point B __________ this line segment.
midpoints |
|
trisects |
|
intersects |
|
bisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
If angle a = 24° and angle b = 49° what is the length of angle d?
| 150° | |
| 156° | |
| 136° | |
| 130° |
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° - 24° - 49° = 107°
So, d° = 49° + 107° = 156°
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° - 24° = 156°