| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
What is 3a9 - 2a9?
| a918 | |
| 6a9 | |
| 1a9 | |
| 6a18 |
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.
3a9 - 2a9 = 1a9
Solve for c:
6c - 7 > -5 + c
| c > \(\frac{5}{7}\) | |
| c > \(\frac{1}{8}\) | |
| c > \(\frac{2}{5}\) | |
| c > -\(\frac{1}{7}\) |
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.
6c - 7 > -5 + c
6c > -5 + c + 7
6c - c > -5 + 7
5c > 2
c > \( \frac{2}{5} \)
c > \(\frac{2}{5}\)
Solve for x:
7x - 1 = 7 - 2x
| \(\frac{8}{9}\) | |
| 2 | |
| -\(\frac{3}{4}\) | |
| -2\(\frac{2}{3}\) |
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 equal sign and the answer on the other.
7x - 1 = 7 - 2x
7x = 7 - 2x + 1
7x + 2x = 7 + 1
9x = 8
x = \( \frac{8}{9} \)
x = \(\frac{8}{9}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
rhombus |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Find the value of c:
-9c + z = -2
4c - 2z = -5
| \(\frac{9}{14}\) | |
| -3\(\frac{10}{11}\) | |
| \(\frac{1}{3}\) | |
| \(\frac{3}{4}\) |
You need to find the value of c so solve the first equation in terms of z:
-9c + z = -2
z = -2 + 9c
then substitute the result (-2 - -9c) into the second equation:
4c - 2(-2 + 9c) = -5
4c + (-2 x -2) + (-2 x 9c) = -5
4c + 4 - 18c = -5
4c - 18c = -5 - 4
-14c = -9
c = \( \frac{-9}{-14} \)
c = \(\frac{9}{14}\)