| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.74 |
| Score | 0% | 55% |
Find the value of a:
7a + x = 4
-2a - 5x = -1
| \(\frac{19}{33}\) | |
| -\(\frac{3}{5}\) | |
| 1\(\frac{1}{4}\) | |
| -\(\frac{1}{8}\) |
You need to find the value of a so solve the first equation in terms of x:
7a + x = 4
x = 4 - 7a
then substitute the result (4 - 7a) into the second equation:
-2a - 5(4 - 7a) = -1
-2a + (-5 x 4) + (-5 x -7a) = -1
-2a - 20 + 35a = -1
-2a + 35a = -1 + 20
33a = 19
a = \( \frac{19}{33} \)
a = \(\frac{19}{33}\)
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d2 |
|
c = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Simplify 2a x 3b.
| 6\( \frac{a}{b} \) | |
| 5ab | |
| 6ab | |
| 6a2b2 |
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 x 3b = (2 x 3) (a x b) = 6ab
Simplify (y - 4)(y - 1)
| y2 + 3y - 4 | |
| y2 - 3y - 4 | |
| y2 + 5y + 4 | |
| y2 - 5y + 4 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 4)(y - 1)
(y x y) + (y x -1) + (-4 x y) + (-4 x -1)
y2 - y - 4y + 4
y2 - 5y + 4
If the base of this triangle is 2 and the height is 4, what is the area?
| 27\(\frac{1}{2}\) | |
| 4 | |
| 32 | |
| 52 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 4 = \( \frac{8}{2} \) = 4