| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Find the value of c:
5c + x = 8
2c - 3x = 4
| -\(\frac{2}{39}\) | |
| \(\frac{1}{22}\) | |
| 1\(\frac{11}{17}\) | |
| 20\(\frac{1}{3}\) |
You need to find the value of c so solve the first equation in terms of x:
5c + x = 8
x = 8 - 5c
then substitute the result (8 - 5c) into the second equation:
2c - 3(8 - 5c) = 4
2c + (-3 x 8) + (-3 x -5c) = 4
2c - 24 + 15c = 4
2c + 15c = 4 + 24
17c = 28
c = \( \frac{28}{17} \)
c = 1\(\frac{11}{17}\)
What is the circumference of a circle with a diameter of 6?
| 16π | |
| 18π | |
| 10π | |
| 6π |
The formula for circumference is circle diameter x π:
c = πd
c = 6π
What is 6a6 - 4a6?
| 10a12 | |
| 24a6 | |
| 24a12 | |
| 2a6 |
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.
6a6 - 4a6 = 2a6
A quadrilateral is a shape with __________ sides.
2 |
|
5 |
|
3 |
|
4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Solve for x:
-6x - 6 > -7 + 9x
| x > -3 | |
| x > -\(\frac{1}{3}\) | |
| x > \(\frac{1}{15}\) | |
| x > \(\frac{6}{7}\) |
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.
-6x - 6 > -7 + 9x
-6x > -7 + 9x + 6
-6x - 9x > -7 + 6
-15x > -1
x > \( \frac{-1}{-15} \)
x > \(\frac{1}{15}\)