| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
Solve for b:
2b - 4 = 6 + 3b
| 1 | |
| -10 | |
| \(\frac{1}{4}\) | |
| -2 |
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.
2b - 4 = 6 + 3b
2b = 6 + 3b + 4
2b - 3b = 6 + 4
-b = 10
b = \( \frac{10}{-1} \)
b = -10
If b = -4 and y = 1, what is the value of 8b(b - y)?
| -300 | |
| -108 | |
| -18 | |
| 160 |
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.)
8b(b - y)
8(-4)(-4 - 1)
8(-4)(-5)
(-32)(-5)
160
If a = c = 3, b = d = 7, what is the area of this rectangle?
| 45 | |
| 21 | |
| 20 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 7
a = 21
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
|
trisects |
|
midpoints |
|
intersects |
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.
Solve for z:
z2 + 2z - 15 = 0
| 3 or -5 | |
| -7 or -9 | |
| 9 or 5 | |
| 3 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 + 2z - 15 = 0
(z - 3)(z + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 5) must equal zero:
If (z - 3) = 0, z must equal 3
If (z + 5) = 0, z must equal -5
So the solution is that z = 3 or -5