| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
Find the value of a:
-3a + x = 3
8a + 7x = -7
| -\(\frac{28}{29}\) | |
| -1\(\frac{9}{20}\) | |
| -\(\frac{1}{2}\) | |
| \(\frac{63}{79}\) |
You need to find the value of a so solve the first equation in terms of x:
-3a + x = 3
x = 3 + 3a
then substitute the result (3 - -3a) into the second equation:
8a + 7(3 + 3a) = -7
8a + (7 x 3) + (7 x 3a) = -7
8a + 21 + 21a = -7
8a + 21a = -7 - 21
29a = -28
a = \( \frac{-28}{29} \)
a = -\(\frac{28}{29}\)
The dimensions of this cube are height (h) = 9, length (l) = 2, and width (w) = 7. What is the surface area?
| 214 | |
| 190 | |
| 114 | |
| 126 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 2 x 7) + (2 x 7 x 9) + (2 x 2 x 9)
sa = (28) + (126) + (36)
sa = 190
Solve -3a + 5a = -9a - 4x + 7 for a in terms of x.
| 1\(\frac{3}{7}\)x + \(\frac{4}{7}\) | |
| x + 2 | |
| x - \(\frac{6}{7}\) | |
| -1\(\frac{1}{2}\)x + 1\(\frac{1}{6}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-3a + 5x = -9a - 4x + 7
-3a = -9a - 4x + 7 - 5x
-3a + 9a = -4x + 7 - 5x
6a = -9x + 7
a = \( \frac{-9x + 7}{6} \)
a = \( \frac{-9x}{6} \) + \( \frac{7}{6} \)
a = -1\(\frac{1}{2}\)x + 1\(\frac{1}{6}\)
What is the area of a circle with a radius of 4?
| 4π | |
| 8π | |
| 16π | |
| 25π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
Inside |
|
First |
|
Last |
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.