| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.55 |
| Score | 0% | 71% |
What is 8a + 7a?
| 15a | |
| 56a2 | |
| 15 | |
| 1 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a + 7a = 15a
If side a = 6, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{5} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{90} \) | |
| 10 |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 82
c2 = 36 + 64
c2 = 100
c = \( \sqrt{100} \)
c = 10
A coordinate grid is composed of which of the following?
y-axis |
|
origin |
|
all of these |
|
x-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
equilateral and right |
|
equilateral and isosceles |
|
isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Simplify (2a)(8ab) - (7a2)(3b).
| -5a2b | |
| 37ab2 | |
| 5ab2 | |
| 37a2b |
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.
(2a)(8ab) - (7a2)(3b)
(2 x 8)(a x a x b) - (7 x 3)(a2 x b)
(16)(a1+1 x b) - (21)(a2b)
16a2b - 21a2b
-5a2b