| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.73 |
| Score | 0% | 75% |
Simplify (3a)(2ab) + (2a2)(3b).
| 25a2b | |
| 2b | |
| 12a2b | |
| b2 |
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)(2ab) + (2a2)(3b)
(3 x 2)(a x a x b) + (2 x 3)(a2 x b)
(6)(a1+1 x b) + (6)(a2b)
6a2b + 6a2b
12a2b
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
addition |
|
division |
|
exponents |
When solving an equation with two variables, 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.)
A right angle measures:
90° |
|
360° |
|
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.
Solve for y:
y2 - 4y - 21 = 0
| -5 or -6 | |
| 7 or 7 | |
| -4 or -5 | |
| -3 or 7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 4y - 21 = 0
(y + 3)(y - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y - 7) must equal zero:
If (y + 3) = 0, y must equal -3
If (y - 7) = 0, y must equal 7
So the solution is that y = -3 or 7
What is the area of a circle with a diameter of 4?
| 9π | |
| 5π | |
| 25π | |
| 4π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π