| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.43 |
| Score | 0% | 69% |
If a = c = 4, b = d = 8, what is the area of this rectangle?
| 56 | |
| 7 | |
| 48 | |
| 32 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 4 x 8
a = 32
Simplify (9a)(6ab) - (4a2)(8b).
| 22a2b | |
| 86ab2 | |
| 180a2b | |
| 86a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(6ab) - (4a2)(8b)
(9 x 6)(a x a x b) - (4 x 8)(a2 x b)
(54)(a1+1 x b) - (32)(a2b)
54a2b - 32a2b
22a2b
Solve for c:
-3c - 5 = 3 + 8c
| 1\(\frac{1}{6}\) | |
| -\(\frac{1}{2}\) | |
| \(\frac{4}{7}\) | |
| -\(\frac{8}{11}\) |
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.
-3c - 5 = 3 + 8c
-3c = 3 + 8c + 5
-3c - 8c = 3 + 5
-11c = 8
c = \( \frac{8}{-11} \)
c = -\(\frac{8}{11}\)
Solve for x:
x2 + 5x - 6 = 0
| 1 or -6 | |
| 7 or 7 | |
| -6 or -9 | |
| 4 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 5x - 6 = 0
(x - 1)(x + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x + 6) must equal zero:
If (x - 1) = 0, x must equal 1
If (x + 6) = 0, x must equal -6
So the solution is that x = 1 or -6
A right angle measures:
180° |
|
45° |
|
360° |
|
90° |
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.