| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Simplify 3a x 3b.
| 6ab | |
| 9\( \frac{b}{a} \) | |
| 9ab | |
| 9a2b2 |
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.
3a x 3b = (3 x 3) (a x b) = 9ab
Solve for a:
3a - 7 < \( \frac{a}{-2} \)
| a < -\(\frac{9}{17}\) | |
| a < 1\(\frac{1}{13}\) | |
| a < 2\(\frac{10}{13}\) | |
| a < 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 < sign and the answer on the other.
3a - 7 < \( \frac{a}{-2} \)
-2 x (3a - 7) < a
(-2 x 3a) + (-2 x -7) < a
-6a + 14 < a
-6a + 14 - a < 0
-6a - a < -14
-7a < -14
a < \( \frac{-14}{-7} \)
a < 2
A right angle measures:
360° |
|
180° |
|
45° |
|
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.
If the base of this triangle is 6 and the height is 9, what is the area?
| 27 | |
| 50 | |
| 24 | |
| 78 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 9 = \( \frac{54}{2} \) = 27
Solve for x:
x2 - 6x + 5 = 0
| 8 or -1 | |
| 1 or 5 | |
| -3 or -3 | |
| 4 or 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 6x + 5 = 0
(x - 1)(x - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x - 5) must equal zero:
If (x - 1) = 0, x must equal 1
If (x - 5) = 0, x must equal 5
So the solution is that x = 1 or 5